Logic mastery strengthens comprehension and so improves home, work & study abilities .
Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons

Ages 15+: Why study slopes Polynomials Quadratics Why factor polynomials Logarithms Functions
What is similarity Euclidean geometry leanly Coordinates + complex no.s Vectors DC Electric Circuits

Ages 14+: Prime factorization Written work formats Decimal place value Extend arithmetic skills orally
What is a variable 5 fraction operations by raising terms Solving Linear Equations: Take I Take II

Online Volumes: 1 - Elements of Reason, 2 - 3 Skills For Algebra, 3 - Why Slopes and
More Math, 1A - Pattern Based Reason, 1B - Skill Development Principles + Troubles
Forewords + leading chapters give original reasons, still valid, for site content & growth.

Key Word Search

Folder Search

83 matches:

1.    wt: 9:   3 Cartesian and Polar Coordinates/
2.    wt: 9:   Step 4 Gaussian Elimination/
3.    wt: 9:   Step 3 Easy systems in 2 or more unknowns/
4.    wt: 8:   LAMP Lean Applied Mathematics Program/
5.    wt: 8:   11 Parallel Straight Lines and Transversals/
6.    wt: 8:   9 Proportionality Backwards and Forwards/
7.    wt: 8:   6 More Less Greater Than Inequalities and Comparison/
8.    wt: 8:   Step 2 Algebraic solutions for one unknown/
9.    wt: 8:   B Decimal Comparing and Subtracting Methods/
10.    wt: 8:   A Decimal Counting and Adding Methods/
11.    wt: 8:   Volume 3 Why Slopes A Calculus Intro Etc/
12.    wt: 7:   5 Factored Polynomial Sign Analysis Examples/
13.    wt: 7:   3 Quadratics Geometrically/
14.    wt: 7:   14 Degrees to Radians and Radians to Degrees/
15.    wt: 7:   10 Examples of Algebraic Reasoning/
16.    wt: 7:   7 Axioms Logic and Equivalent Equations/
17.    wt: 7:   2 Formula Forward Use Evaluation/
18.    wt: 7:   C Decimal Multiplication Methods/
19.    wt: 7:   12 Webvideo Lessons on Area and Volume Calculation/
20.    wt: 6:   Progressive Observable Motivated Mathematics Education/
21.    wt: 6:   2 Natural Logarithms Exponentials Powers Roots/
22.    wt: 6:   12 Function Translating and Rescaling/
23.    wt: 6:   10 Intersecting Straight Lines and Transversals/
24.    wt: 6:   9 Lines and Slopes Take 2 with tangent function/
25.    wt: 6:   4 Computation Rules and Function Notation/
26.    wt: 6:   3 Solving Linear Equations/
27.    wt: 6:   3 Prime Factorization Skills/
28.    wt: 6:   38 Lessons on Calculating Derivatives/
29.    wt: 5:   Mathematics Education Essays/
30.    wt: 5:   4 Lines and Slopes Take 1/
31.    wt: 5:   1 Maps Plans Measurement/
32.    wt: 5:   A Origins of Counting and Figuring Methods/
33.    wt: 5:   8 Unifying Theme For Algebra/
34.    wt: 5:   11 Squares and Square Roots/
35.    wt: 5:   9 Combinatorics Trees Tables and Products/
36.    wt: 5:   7 Arithmetic and Fractions with Units/
37.    wt: 5:   6 Fractions and Ratios/
38.    wt: 5:   4 Remainder Arithmetic and Divisibility/
39.    wt: 5:   D Decimal Long Division Methods/
40.    wt: 5:   1 Decimal Place Value/
41.    wt: 5:   Advanced Calculus Volume 3 Appendices/
42.    wt: 5:   Volume 1A Pattern Based Reason/
43.    wt: 4:   Mathematics Skills Year by Year/
44.    wt: 4:   1 Five Polynomial Operations/
45.    wt: 4:   13 Vectors/
46.    wt: 4:   5 What is Similarity/
47.    wt: 4:   2 Euclidean Geometry Constructions Theory extras/
48.    wt: 4:   B Real Numbers Extrinsic Development/
49.    wt: 4:   5 Real Numbers/
50.    wt: 4:   12 Comparison of Unsigned and Signed Numbers/
51.    wt: 4:   10 LCM GCD and Euclid GCD Algorithm/
52.    wt: 4:   2 Arithmetic with Decimals/
53.    wt: 4:   Time Date Matters/
54.    wt: 4:   4 Lessons on Using Derivatives/
55.    wt: 4:   13 Lessons on Limits and Continuity/
56.    wt: 4:   Mathematics 506 Lessons/
57.    wt: 4:   Mathematics Skill Development Framework/
58.    wt: 3:   Volume 1A Regles et modeles/
59.    wt: 3:   15 Arc or Inverse Trigonometric Function/
60.    wt: 3:   1 Working With Sets/
61.    wt: 3:   Algebra Starter Lessons/
62.    wt: 3:   8 Arithmetic with Signed Numbers/
63.    wt: 3:   5 Lessons on Integration/
64.    wt: 2:   francais/
65.    wt: 2:   4 Functions/
66.    wt: 2:   More Algebra/
67.    wt: 2:   8 Unit Circle Trigonometry/
68.    wt: 2:   7 Complex Numbers/
69.    wt: 2:   6 Trigonometry first steps/
70.    wt: 2:   Geometry maps plans trigonometry vectors/
71.    wt: 2:   5 Integers/
72.    wt: 2:   Arithmetic and Number Theory Skills/
73.    wt: 2:   Skills with take home value/
74.    wt: 2:   70 Calculus Starter Lessons/
75.    wt: 2:   Volume 2 Three Skills For Algebra/
76.    wt: 2:   Volume 1B Mathematics Curriculum Notes/
77.    wt: 2:   Resources and Reciprocal Links/
78.    wt: 2:   Quebec Material/
79.    wt: 1:   Archives/
80.    wt: 1:   Parent Center/
81.    wt: 1:   Volume 1 Elements of Reason/
82.    wt: 1:   Work and Study Tips/
83.    wt: 10:   Step 1 Stick diagram and fractions/

Web Page Search

1055 matches:

1.    wt: 9:   35 sines and cosines of 2A 3A 4A 5A
2.    wt: 9:   34 sines and cosines of 2A 3A 4A 5A
3.    wt: 8:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
4.    wt: 8:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
5.    wt: 7:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
6.    wt: 7:   3 Natural Logarithms and Exponentials Basic Properties
7.    wt: 7:   Parallel Lines and Parallel Transversals
8.    wt: 7:   13 Navigation Location from Angles to 2 Landmarks
9.    wt: 7:   13 Pythagorean spatial distance formulas
10.    wt: 7:   3 Lengths and Areas on Maps and Plans
11.    wt: 7:   9 Circle Area and Perimeter Formula Backwards Forwards
12.    wt: 7:   4 Rectangle Area and Like Formulas Backwards
13.    wt: 7:   11 Place Value SI Standard International way
14.    wt: 7:   Chapter 14. Forward and Backward Use of a Formula
15.    wt: 7:   Montreal Basic and Advanced Mathematics Tutoring
16.    wt: 6:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
17.    wt: 6:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
18.    wt: 6:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
19.    wt: 6:   8 quadratics backward use of various formulas
20.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
21.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
22.    wt: 6:   Parallel Lines and Alternating Corresponding Angles
23.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
24.    wt: 6:   29 secant cosecant and cotangent for acute angles
25.    wt: 6:   21 sine and cosine Half Angle Formulas
26.    wt: 6:   14 cosine even and sine and tangent are odd
27.    wt: 6:   5 Cartesian Addition and Translation
28.    wt: 6:   15 Head to Tails in place Addition Associative
29.    wt: 6:   8 Pythagorean Relation Forwards Backwards
30.    wt: 6:   5 Triangle Area Formula Backwards
31.    wt: 6:   3 Gaussian Elimination 3 unknowns first example
32.    wt: 6:   3 Triangle Area Formula Example
33.    wt: 6:   2 Another Rectangle Area Formula Example
34.    wt: 6:   C Equality for Fractions and Two Term Ratios and Fractions
35.    wt: 6:   8 Numerals Fractionals Quantals Take II
36.    wt: 6:   A Decimals Modular and Remainder Arithmetic
37.    wt: 6:   Long Division forwards and backwards Example 3
38.    wt: 6:   3 Harder Cases Convert to Compare and Subtract
39.    wt: 6:   33 Chain Rule Real Player video examples
40.    wt: 6:   13 Limits with Parameters and Derivatives Take II
41.    wt: 6:   Chapter 19. Exponentials and Natural Logarithms
42.    wt: 6:   Chapter 2 Implication Rules Forwards and Backwards
43.    wt: 6:   Chapter 2 For and Against Mathematics
44.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
45.    wt: 6:   V Reasons and Motivations for Logic and Mathematics
46.    wt: 6:   Phase 1. Basics Skills with clear take home value 5 to 6 years
47.    wt: 5:   Appendix 1 primary and preschool mathematic
48.    wt: 5:   C LAMP Introduction Culture in Mathematics Education
49.    wt: 5:   Ramblings Introduction Algebra Essay
50.    wt: 5:   Applied Maths Program14092009 POMME variant
51.    wt: 5:   chapitre 03 A Propos Des Prochains Chapitre
52.    wt: 5:   Quebec cahiers d apprentissage en mathematiques pour 4 16
53.    wt: 5:   25 Mathematics Education Leaving A Good Impression
54.    wt: 5:   13 Addition and Addition Tables
55.    wt: 5:   Objectives for Mathematics and Logic Language Skill Development
56.    wt: 5:   25 Absolute Value greatest integer and saw tooth functions
57.    wt: 5:   17 Function maxima minima and their location
58.    wt: 5:   6 quadratics numerical approach
59.    wt: 5:   5 Natural Logarithm Calculator Exercises
60.    wt: 5:   6 Polynomial Operations and Equivalent Computation Rules
61.    wt: 5:   9 Summary Degrees to Radians and back
62.    wt: 5:   7 Radian Measures in special Triangles
63.    wt: 5:   4 Circle Sector Area proportional to Central Angle
64.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
65.    wt: 5:   2 Radian Measure Numerical Value of one degree
66.    wt: 5:   A Global Time and Navigation
67.    wt: 5:   Proportionality of Line Segments From Parallel Transversals
68.    wt: 5:   Construction Methods and Criteria for Isometric and Similar Triangles
69.    wt: 5:   31 basic secant cosecant cotangent trig identities
70.    wt: 5:   22 sine of 22.5 degrees via half angle formulas
71.    wt: 5:   20 sine and cosine Double Angle Formulas
72.    wt: 5:   19 Pythagorean Identity For sine and cosine functions
73.    wt: 5:   18 sum of sinusoidal waves as a single wave
74.    wt: 5:   17D cis formulas for sine cosines and tangent
75.    wt: 5:   17C sine and cosine double triple angle formulas
76.    wt: 5:   17B sine cosine Angle Sum Formulas via cis
77.    wt: 5:   15 sine cosine Complementary Angle Relations
78.    wt: 5:   10 Graphs of sines and cosines many periods
79.    wt: 5:   6 sines and cosines for reference angle 30 degrees
80.    wt: 5:   3 sines and cosines for reference angle 90 degrees
81.    wt: 5:   12 cis formulas for sine cosines and tangent
82.    wt: 5:   11 sine and cosine double triple angle formulas
83.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
84.    wt: 5:   5 Trigonometric Ratios For Tangent and Special Triangles
85.    wt: 5:   3 Trigonometric Ratios sine and cosine
86.    wt: 5:   7 Translations Rotations Reflections Dilatations
87.    wt: 5:   10 Pythagorean plane distance formula
88.    wt: 5:   4 Angles on Maps Plans drawn to scale
89.    wt: 5:   A Modular and Remainder Arithmetic
90.    wt: 5:   25 Mid way Convergence to Axiomatic Approach
91.    wt: 5:   13 Arrows and Vectors in a Plane
92.    wt: 5:   3 Inequalities Algebraically
93.    wt: 5:   1 Decimals Modular and Remainder Arithmetic
94.    wt: 5:   5 Gaussian Elimination for 3 unknowns 2nd example
95.    wt: 5:   3 GE III Equation Addition and Multiplication
96.    wt: 5:   6 Pythagorean Hypotenuse Calculation Example
97.    wt: 5:   3 signed coordinates for maps and planes
98.    wt: 5:   A Similarities between Fractions and Two Term Ratios
99.    wt: 5:   13 Fraction Comparison Algebraic View
100.    wt: 5:   7 Numerals Fractionals Quantals
101.    wt: 5:   6 Multiplication Algebraically Take II
102.    wt: 5:   A Associative Law Theorectical Note
103.    wt: 5:   7 Calculator Usage Notes and Cautions
104.    wt: 5:   5 Prime Factorization and a Square Rule
105.    wt: 5:   Long Division forwards and backwards Example 2
106.    wt: 5:   Long Division forwards and backwards Example 1
107.    wt: 5:   1 Comparison and Subtraction Easy Direct Cases
108.    wt: 5:   3. How to add with decimals A sans conversions
109.    wt: 5:   9 Place Value Review Decimal form of Avogrados number included
110.    wt: 5:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
111.    wt: 5:   6 Groups of 3 Place Value in Mixed Decimal Fractions
112.    wt: 5:   5 More on Groups of 3 Place Value in Decimal Fractions
113.    wt: 5:   4 Groups of 3 Place Value in Decimal Fractions
114.    wt: 5:   Practical Methods Ends and Values for Arithmetic
115.    wt: 5:   Example 1. Area Between x and x squared
116.    wt: 5:   A Related Material in Volume 3
117.    wt: 5:   A Chain Rule Real Player video examples
118.    wt: 5:   38 Formulas and derivatives for powers and roots
119.    wt: 5:   16 Derivatives of reciprocals of sine and cosine
120.    wt: 5:   15 sine and cosine derivatives 3rd step
121.    wt: 5:   13 sine and cosine derivatives 1st step
122.    wt: 5:   1 Fall 1983 Why Slopes Appetizer
123.    wt: 5:   12 Limits with Parameters and Derivatives Take I
124.    wt: 5:   Chapter 18. Slopes Areas Integration
125.    wt: 5:   Chapter 17. Area Approximation
126.    wt: 5:   Chapter 15. Algebraic Evaluation of Limits
127.    wt: 5:   Chapter 14 Limits and Continuity with and sans Decimals
128.    wt: 5:   Appendix E. How To Study Mathematics and Why
129.    wt: 5:   Chapter 29 Contrapositive and Vacuously True Implications
130.    wt: 5:   Chapter 25. Mathematical Induction Examples
131.    wt: 5:   Chapter 25. Mathematical Induction Examples
132.    wt: 5:   Chapter 10 Describing and Changing Calculations
133.    wt: 5:   Chapter 6 Rule Based Reason in Mathematics
134.    wt: 5:   Chapter 22 Contrapositive and Vacuously True Implications
135.    wt: 5:   Chapter 16 Origins and Limitations of Rules and Patterns
136.    wt: 5:   Chapter 14 Deductive and Empirical Views of Mathematics
137.    wt: 5:   More Algebra and Slope based Calculus Preview
138.    wt: 5:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
139.    wt: 5:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
140.    wt: 5:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
141.    wt: 4:   E LAMP Introduction Modern Mathematics
142.    wt: 4:   B LAMP Introduction Curriculum Development Standards
143.    wt: 4:   Skills Chapter 3 Algebra
144.    wt: 4:   7 logic review and decimals an odd combination
145.    wt: 4:   5 logarithms and exponentials etc
146.    wt: 4:   talk the algebra talk
147.    wt: 4:   teaching tutoring algebraic reason
148.    wt: 4:   three goals for Mathematics Education
149.    wt: 4:   standards for course material
150.    wt: 4:   Education in mathematics science and technology
151.    wt: 4:   education an empirical art
152.    wt: 4:   chapitre 07 00 Des chaines plus longues de la raison
153.    wt: 4:   chapitre 06 00 Chaines de la raison
154.    wt: 4:   E Wire Resistance Calculation03
155.    wt: 4:   A Wire Resistance Qualitative01
156.    wt: 4:   27 Graduated Correction and Penalties for Young Offenders
157.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take IV
158.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take III
159.    wt: 4:   23 Modularized Skill Development Modularized Rigor Take II
160.    wt: 4:   12 Goals and Objectives For Mathematics
161.    wt: 4:   5 Patience Please for Yourself and Your Charges
162.    wt: 4:   sign monoticity analysis example 3
163.    wt: 4:   11 Function Domain Range Source and Targets
164.    wt: 4:   4 Function notation in and beyond mathematics
165.    wt: 4:   A Quadratics Summary
166.    wt: 4:   9 quadratics physical and further context
167.    wt: 4:   7 quadratic formulla derivation
168.    wt: 4:   3 quadratics factoring by inspection
169.    wt: 4:   2 quadratics graphing in general
170.    wt: 4:   8 Formulas for Fractional Exponents with Logarithms
171.    wt: 4:   3 Polynomials Multiplication Addition
172.    wt: 4:   13 cosecant function Definition Graph and Inverse
173.    wt: 4:   11 arctan left inverse of tangent Graph
174.    wt: 4:   8 Radian Measures of Common Angles
175.    wt: 4:   1 Degrees and Radians Introduction
176.    wt: 4:   10 Parallelogram Addition Method
177.    wt: 4:   5 Head To Tail Arrow Addition
178.    wt: 4:   3 Navigation with Arrows or Vectors
179.    wt: 4:   2 Graphing y=Af(x) Vertical Scaling
180.    wt: 4:   Parallel Lines and Interior Angles
181.    wt: 4:   14 Straight Lines Equations General Case
182.    wt: 4:   6 Tangent Function Inclination Angle Take 2
183.    wt: 4:   32 seven rows of pascals triangle
184.    wt: 4:   27 Logarithmic use of products of sines and cosines
185.    wt: 4:   26 Formulas for products of sines and cosines
186.    wt: 4:   23 sine and cosine of 180 plus 22.5 degrees
187.    wt: 4:   16 Right Triangle Complementary Angle Relations
188.    wt: 4:   13 Graph of tangent function many periods
189.    wt: 4:   9 Graphs of sine and cosine over one period
190.    wt: 4:   5 sines and cosines for reference angle 60 degrees
191.    wt: 4:   4 sines and cosines for reference angle 45 degrees
192.    wt: 4:   1 Rectangular Polar Coordinates Review
193.    wt: 4:   2 Similar Triangles Equality of Corresponding Side Ratios
194.    wt: 4:   10 Similarity of Triangles Equivalent of Two Criteria
195.    wt: 4:   9 Similarity of Triangles Usual Criteria
196.    wt: 4:   5 Similarity of Circles Squares and Rectangles
197.    wt: 4:   11 A Partial Summary
198.    wt: 4:   6 Polar Multiplication and Rotation
199.    wt: 4:   3 Rectangular Coordinates Review
200.    wt: 4:   1 Cartesian Coordinates sans signs
201.    wt: 4:   PS F Scalar Multiplication Distributes over Addition
202.    wt: 4:   PS D Addition with Cartesian Coordinates
203.    wt: 4:   13 Angle Side Angle Failure
204.    wt: 4:   5 Drawing to Scale Avoids Angle Distortions
205.    wt: 4:   14 Vector Head to Tail Sums and Resultants
206.    wt: 4:   3 Location of Point in Decimal Multiplication
207.    wt: 4:   B Decimal Comparison and Subtraction
208.    wt: 4:   4 Fraction Operations Axiomatic Development
209.    wt: 4:   4 Rates Ratios and Proporitionality
210.    wt: 4:   6 Compound Interest Forward and Backwards
211.    wt: 4:   3 Linear Equation Literal Solution More
212.    wt: 4:   2 Addition and Multiplication Axioms
213.    wt: 4:   2 More and Less Than for Counts and Measures
214.    wt: 4:   8 Coordinates for Maps and Planes
215.    wt: 4:   3 Geometric Formulas and Function Notation
216.    wt: 4:   3 Solving triangular system example
217.    wt: 4:   4 Circle Area Formula Example
218.    wt: 4:   6 Three Notions of What is a Variable
219.    wt: 4:   5 Talking about Numbers and Quantities
220.    wt: 4:   4 A Brief Story of numbers and algebra
221.    wt: 4:   2 What is a Variable
222.    wt: 4:   arithmetic videos Real Player Format
223.    wt: 4:   1 More and Less Than for Counts and Measures
224.    wt: 4:   1 Squares and Square Roots Introduction
225.    wt: 4:   9 GCD of 360 110 via Primes and Euclid Algorithm
226.    wt: 4:   11 What are real lengths and numbers
227.    wt: 4:   17 Efficient Ways to Add and Subtract
228.    wt: 4:   16 Addition Subtraction Comparision Compared
229.    wt: 4:   15 Adding and Subtracting with Unlike Denominators
230.    wt: 4:   14 Adding and Subtracting with Like Denominators
231.    wt: 4:   11 Simplification an Algebraic View
232.    wt: 4:   10 Simplification of Fractions and Mixed Numerals
233.    wt: 4:   3 Unit fraction of a fraction
234.    wt: 4:   1 What is a fraction Take II
235.    wt: 4:   11 Adding Integers Formulas and Examples
236.    wt: 4:   13 Remainder Arithmetic Modulo 5 Example
237.    wt: 4:   10 video Prime Factorization upto 23 squared
238.    wt: 4:   A Elementary Basis for Multiplication Methods
239.    wt: 4:   Appendix 1 Decimals Comparison Method Take II
240.    wt: 4:   2 Subtraction Easy Case Examples
241.    wt: 4:   7 Adding decimal fractions using decimal point
242.    wt: 4:   3 More on Groups of 3 Multi Digit Place Value
243.    wt: 4:   Exact Arithmetic Wholes and Fractions
244.    wt: 4:   016 Numbering Occidental Calendar Days
245.    wt: 4:   9 Comparison and Subtraction of Time Intervals
246.    wt: 4:   8 Addition of Time Intervals via subtotaling
247.    wt: 4:   36 Cube root derivative animated
248.    wt: 4:   28 Chain Rule Preparation for a Proof
249.    wt: 4:   25 Chain Rule Animated Examples Continued
250.    wt: 4:   24 Chain Rule Animated Examples
251.    wt: 4:   17 Derivatives of quotients of sine and cosine
252.    wt: 4:   14 sine and cosine derivatives 2nd step
253.    wt: 4:   7 Animated Differentiation Examples
254.    wt: 4:   7 Evaluation by immediate or delayed substitution
255.    wt: 4:   PostScript For and Against Decimal Perspectives
256.    wt: 4:   Chapter 24 Logarithms Powers and Exponentials
257.    wt: 4:   Chapter 13. Acceleration
258.    wt: 4:   Chapter 6. Slopes and Vertical Shifts
259.    wt: 4:   Chapter 3. Slope Sign Analysis
260.    wt: 4:   Chapter 2. Slopes and Ski Trails
261.    wt: 4:   Fall 1983 Calculus Appetizer
262.    wt: 4:   Appendix D. What to do in School and Why
263.    wt: 4:   Appendix A. Reading Guide For Next Appendices
264.    wt: 4:   Chapter 31 Direct and Indirect Reason
265.    wt: 4:   Chapter 26 What is in chapters 27 to 31
266.    wt: 4:   Chapter 20. Degrees and Radians
267.    wt: 4:   Chapter 17. Pythagorean Theorem Chinese Square Proof
268.    wt: 4:   Postscript What is a Variable
269.    wt: 4:   Chapter 9 Talking about Numbers or Quantities
270.    wt: 4:   Chapter 6 Change of Language
271.    wt: 4:   Chapter 3 Chains of Reason
272.    wt: 4:   Annotated Links to Material Elsehwere
273.    wt: 4:   Chapter 4 Complex Numbers and Why Slopes
274.    wt: 4:   Chapter 3 Algebra Difficulties
275.    wt: 4:   Chapter 17 Objective Ways Trial and Error Discovery
276.    wt: 4:   Chapter 13 Geometric Thinking Euclidean Model For Reason
277.    wt: 4:   Chapter 11 Accidental Patterns
278.    wt: 4:   Chapter 8 Change of Language
279.    wt: 4:   Chapter 3 What is in chapters 4 to 8
280.    wt: 4:   R Why Learn Mathematics Skills
281.    wt: 4:   P Exact Arithmetic With Whole Numbers and Fractions
282.    wt: 4:   O On Learning Mathematics and Science
283.    wt: 3:   Appendix 2 primary school Arithmetic 01
284.    wt: 3:   I LAMP Introduction Study Habits
285.    wt: 3:   H LAMP Introduction Instructional Concepts
286.    wt: 3:   8 analytic geometry etc
287.    wt: 3:   3 Euclidean Geometry Leanly
288.    wt: 3:   Teach the teachers plus goals
289.    wt: 3:   Math Ed if it must be short make it lean effective
290.    wt: 3:   Mathematics Education Professors
291.    wt: 3:   what should be learnt and When
292.    wt: 3:   five decades make a difference
293.    wt: 3:   Maps Plans Drawings
294.    wt: 3:   Secondary Three Mathematics
295.    wt: 3:   Secondary Two Mathematics
296.    wt: 3:   Secondary One Mathematics
297.    wt: 3:   geometric implications for algebra
298.    wt: 3:   05 13 OldSiteEntrancePage
299.    wt: 3:   02 20 mathematics education references
300.    wt: 3:   three aims for mathematics students
301.    wt: 3:   Operational Viewpoint to Value
302.    wt: 3:   mathematics instruction in general
303.    wt: 3:   three kinds of reason in mathematics
304.    wt: 3:   need for a mixed mathematics curriculum
305.    wt: 3:   Leaner mathematics curriculum
306.    wt: 3:   chapitre 07 01 principle D induction mathematique
307.    wt: 3:   chapitre 04 10 Etapes pour une meilleur raison
308.    wt: 3:   chapitre 04 04 Parlons de la logique
309.    wt: 3:   chapitre 02 00 La Communication des idees
310.    wt: 3:   2 Conductance Resistance Duality02
311.    wt: 3:   1 Conductance Resistance Duality01
312.    wt: 3:   F Wire Resistance Calculation04
313.    wt: 3:   D Wire Resistance Calculation02
314.    wt: 3:   C Wire Resistance Calculation01
315.    wt: 3:   B Wire Resistance Qualitative02
316.    wt: 3:   3 Like resistors in parallel
317.    wt: 3:   24 Standards For Skill Develoment Take II
318.    wt: 3:   23 Modularized Skill Development Modularized Rigor
319.    wt: 3:   19 Extending the Oral Dimension of Mathematics
320.    wt: 3:   18 Primary School Mathematics
321.    wt: 3:   17 Math Booklets for children and young teenagers
322.    wt: 3:   16 Secondary Mathematics Tips
323.    wt: 3:   14 Multiplication and Times Tables
324.    wt: 3:   4 Learning Takes Time and Effort
325.    wt: 3:   Ages 12 to 14 Skills with take home value
326.    wt: 3:   sign monoticity analysis example 4
327.    wt: 3:   sign monoticity analysis example 2
328.    wt: 3:   sign monoticity analysis example 1
329.    wt: 3:   22 Square Root function graphically
330.    wt: 3:   20 Interchanging coordinates a reflection
331.    wt: 3:   16 Increasing or decreasing on intervals
332.    wt: 3:   6 Set Existence Formation and Notation
333.    wt: 3:   5 Function notation for geometric transformations
334.    wt: 3:   3 Formula or function graphing exercise
335.    wt: 3:   2 Algebraic use of function notation
336.    wt: 3:   5 quadratics completing the square
337.    wt: 3:   4 quadratics difference of two squares
338.    wt: 3:   1 quadratics graphing exercises
339.    wt: 3:   10 Exponential Growth and Decay Models
340.    wt: 3:   9 Formulas for Real Exponents with Logarithms
341.    wt: 3:   7 Formulas for Roots with Logarithms Derivation
342.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
343.    wt: 3:   2 Square Root Simplification a prequel
344.    wt: 3:   1 Calculator Starter Exercises
345.    wt: 3:   Rewriting algebraic substitution as function substitutions
346.    wt: 3:   16 cotangent function Definition Graph and Inverse
347.    wt: 3:   15 cosecant function Definition Graph and Inverse
348.    wt: 3:   14 secant function Definition Graph and Inverse
349.    wt: 3:   12 motivation for term arctan
350.    wt: 3:   10 arctan left inverse of tangent Definition
351.    wt: 3:   9 motivation for name arcsin
352.    wt: 3:   8 arcsin left inverse of sine Graph
353.    wt: 3:   5 Swapping Coordinates is a reflection
354.    wt: 3:   3 Left Inverse of cosine arccos definition
355.    wt: 3:   6 Radian Measure to Degrees
356.    wt: 3:   5 Degrees to Radian Measure
357.    wt: 3:   12 From Applied To Pure Mathematics
358.    wt: 3:   9 Head to Tail Coordinate View
359.    wt: 3:   SAS Method For Isometric Or Proportional Triangle Construction
360.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
361.    wt: 3:   Straight Lines ASA Intersection Study More
362.    wt: 3:   Straight Lines ASA Intersection Study
363.    wt: 3:   D Straight Lines Slope from Coordinates Examples
364.    wt: 3:   A Straight Line Slope Scaling Properties
365.    wt: 3:   13 Straight Lines Finding Equations from 2 points
366.    wt: 3:   8 Straight Lines Equation for vertical
367.    wt: 3:   2 Straight Lines Slopes As Rise Over Run
368.    wt: 3:   17 tangent function angle sum formulas
369.    wt: 3:   30 unit circle calculation of six trigonometric functions
370.    wt: 3:   28 Expressing products of sines cosines as sums
371.    wt: 3:   25 tangent double angle formula Slope connection
372.    wt: 3:   24 tangent Angle Difference Formula
373.    wt: 3:   11 tangent function undefined when terminal side vertical
374.    wt: 3:   7 period of sine and cosine
375.    wt: 3:   2 Quadrant I reference Angles
376.    wt: 3:   21 Logarithms Powers and Exponentials
377.    wt: 3:   13 Trig Formulas for dot and cross Products
378.    wt: 3:   7 Second Way to Calculate Products
379.    wt: 3:   5 An Easy Proof of the Distributive Law
380.    wt: 3:   Appetizer A Complex Number Applet
381.    wt: 3:   8 Triangles Cascade Problem Solving
382.    wt: 3:   6 Trigonometry Sines of Supplementary Angles
383.    wt: 3:   4 Trigonometric Ratios For Two Special Triangles
384.    wt: 3:   Why Trigonometry the whyslopes view
385.    wt: 3:   8 Similarity of Triangles and Polygons
386.    wt: 3:   6 Geometric Diagrams in Class
387.    wt: 3:   3 Similarity by Design with coordinates
388.    wt: 3:   1 Early Concept of Like or Similar Shapes
389.    wt: 3:   10 Midpoint of [a b] and [b a]
390.    wt: 3:   5 Algebraic View of Slopes
391.    wt: 3:   1 Numerical view of lines and their equations
392.    wt: 3:   12 Spatial Coordinates
393.    wt: 3:   9 Pythagorean Theorem Chinese Square Proof
394.    wt: 3:   4 Polar Coordinates to and from
395.    wt: 3:   2 Cartesian Coordinates with signs
396.    wt: 3:   PS E Multiplication with Polar Coordinates
397.    wt: 3:   PS B Parallelogram Construction Methods
398.    wt: 3:   21 Parallelograms
399.    wt: 3:   18 Triangle Similarity Take 1
400.    wt: 3:   16 Angles Subtended By Chords and Diameters
401.    wt: 3:   14 Parallel Lines Postulate
402.    wt: 3:   6 Ruler and compass Angle Bisection
403.    wt: 3:   8 More Use of Maps Not Drawn to Scale
404.    wt: 3:   2 Measuring Area Directly
405.    wt: 3:   26 More Less Greater Than Comparison
406.    wt: 3:   23 Distributive Law Two Derivations
407.    wt: 3:   20 Length and Direction of Collinear Vector Sums How to Add Definition
408.    wt: 3:   18 Geometrically Why Vector Addition Commutes
409.    wt: 3:   17 Arrows Rotate to Reverse with Length Unchanged
410.    wt: 3:   16 Collinear Horizontal Arrows Vectors
411.    wt: 3:   11 Signed Number Addition and Addition Properties
412.    wt: 3:   10 Numbers given by Infinite Aperiodic Decimal Expansions
413.    wt: 3:   8 Division and Mulplication of Compound Fractions
414.    wt: 3:   7 Arithmetic with Infinite Decimal Expansions
415.    wt: 3:   5 Fractions with Infinite Decimal Expansions
416.    wt: 3:   4 Location of Point in Decimal Addition
417.    wt: 3:   1 Fractions with Finite Decimal Expansions
418.    wt: 3:   A Decimal Addition Columm Methods
419.    wt: 3:   7 Decimals Multiplication Methods Examples
420.    wt: 3:   5 Areas of Rectangles Revisited
421.    wt: 3:   2 Fraction Operations Physical Development
422.    wt: 3:   5 Proportionality in Equivalent Fractions
423.    wt: 3:   3 Proportionality Examples
424.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
425.    wt: 3:   2 Linear Equation Literal Solution
426.    wt: 3:   1 Changing Calculations
427.    wt: 3:   6 Equations and Systems Equivalent or Implied
428.    wt: 3:   5 Equality in Algebra
429.    wt: 3:   4 Subtraction and Division Axioms
430.    wt: 3:   5 Greater More Less Than Signs in General
431.    wt: 3:   3 More and Less Than with Unlike Signs
432.    wt: 3:   13 Real Number Subtraction
433.    wt: 3:   12 Real Number Additive Inverses or Negatives
434.    wt: 3:   7 Real Numbers as Line Cordinates
435.    wt: 3:   1 Whole and Natural Numbers
436.    wt: 3:   2 Computation Rules Evaluation
437.    wt: 3:   1 Formulas Dependence and Function Notation
438.    wt: 3:   4 GE III Animated Examples
439.    wt: 3:   4 Solving a triangular system exercise
440.    wt: 3:   6 Algebraic Solution Example
441.    wt: 3:   5 Algebraic Solutions Introduction
442.    wt: 3:   4 Four Examples Fractional Coefficients
443.    wt: 3:   Formula Usage Show Work Format
444.    wt: 3:   13 Naming Identifying Formulas with Words
445.    wt: 3:   8 Compound Interest Formula Evaluation
446.    wt: 3:   9 Sets in Probability and Statistics
447.    wt: 3:   3 Adding Words To Arithmetic
448.    wt: 3:   4 Greater More Less Than Signs in General
449.    wt: 3:   3 Comparison of Negative Numbers
450.    wt: 3:   3 Properties of Square Roots with example
451.    wt: 3:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
452.    wt: 3:   13 GCD from given Prime Factorization
453.    wt: 3:   7 GCD and LCM from prime factorization
454.    wt: 3:   2 Least Common Multiple LCM intro via list method
455.    wt: 3:   3 Counting with Tables and Trees II
456.    wt: 3:   7 negative and additive inverse
457.    wt: 3:   2 signed and unsigned numbers as coordinates
458.    wt: 3:   5 Reciprocals and Division for Fractions with Units
459.    wt: 3:   1 Addition and Subtraction with Units
460.    wt: 3:   B Fractions and Two Term Ratios
461.    wt: 3:   21 Reciprocals for Fractions and Wholes
462.    wt: 3:   1 What is a fraction
463.    wt: 3:   13 Subtraction with Additive Inverse
464.    wt: 3:   6 Multiplication by Natural Numbers
465.    wt: 3:   3 Adding Movements with same direction
466.    wt: 3:   23 Remainder Arithmetic Modulo 2
467.    wt: 3:   22 Remainder Arithmetic Modulo 3 more
468.    wt: 3:   21 Remainder Arithmetic Modulo 3
469.    wt: 3:   16 Remainder Arithmetic Modulo 9 Example 2
470.    wt: 3:   15 Remainder Arithmetic Modulo 9 Example
471.    wt: 3:   14 Remainder Arithmetic Modulo 9 Example
472.    wt: 3:   12 Remainder Arithmetic Modulo 10 Example
473.    wt: 3:   8 Remainder Arithmetic Morulo 5 Examples II
474.    wt: 3:   7 Remainder Arithmetic Modulo 5 Examples I
475.    wt: 3:   4 Remainder Arithmetic Modulo 10 in general
476.    wt: 3:   3 Remainder Arithmetic Modulos 10 more still
477.    wt: 3:   18 video Count Factors given Prime Factorization
478.    wt: 3:   15 video Factors of 20 using Prime Factorization
479.    wt: 3:   9 video Prime Factorization upto 19 squared
480.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
481.    wt: 3:   4 video Prime Factorization Introduction
482.    wt: 3:   3 video Primes and Composites from 9 times table
483.    wt: 3:   1 video how Products are bigger than factor
484.    wt: 3:   6 Why Decimal Long Division Methods Works Take I
485.    wt: 3:   5 Decimal Fraction Multiplication
486.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
487.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
488.    wt: 3:   Video Power Notation in Decimal Expansion
489.    wt: 3:   Appendix 2 Three Decimal Subtraction Methods
490.    wt: 3:   7 Subtraction for Decimal Fractions with Exercises
491.    wt: 3:   8 What skills and work habits to require
492.    wt: 3:   6. Counting and adding units and mixed units
493.    wt: 3:   5. How to add decimals C. Examples
494.    wt: 3:   1. Explaining Addition Table
495.    wt: 3:   10 Names for Big Numbers and Powers of Ten Expansion
496.    wt: 3:   2 Groups of Three Place Value for Multidigit Decimals
497.    wt: 3:   Quick history of numbers and algebra
498.    wt: 3:   Formula Evaluation how to show work
499.    wt: 3:   015 School and work day counting tables
500.    wt: 3:   014 Counting Days with Calendars
501.    wt: 3:   013 Travel Time Tables
502.    wt: 3:   010 Repeated Addition of Time Intervals
503.    wt: 3:   2 Time and Date Matters in School
504.    wt: 3:   Example 1 volume of a pyramid
505.    wt: 3:   Area Between Crossing Curves Lesson Take 2
506.    wt: 3:   Area Between Crossing Curves Lesson Take 1
507.    wt: 3:   Area Between Curves Lesson Take 2
508.    wt: 3:   Area Between Curves Lesson Take 1
509.    wt: 3:   4 Definite Integrals Evaluation Exercises
510.    wt: 3:   A Related lessons in Volume 3
511.    wt: 3:   34 Derivative of exponential function
512.    wt: 3:   30Chain Rule A Proof
513.    wt: 3:   29 Chain Rule Optional Reading
514.    wt: 3:   23 Chain Rule in general
515.    wt: 3:   3 Motivation for Limit Definition Take 2
516.    wt: 3:   8 Four Animated Examples
517.    wt: 3:   2 Algebraic codification
518.    wt: 3:   Postscript One Sided and Intermediate Value Theorems
519.    wt: 3:   .H1 First Fundamental Theorem of Calculus
520.    wt: 3:   G.2 Differentiable Functions Mean Value Theorem
521.    wt: 3:   F.3 Intermediate Value Theorem
522.    wt: 3:   B3 Bolzano Weierstrass Theorem
523.    wt: 3:   Postscript Pythagorean Theorem yet another proof
524.    wt: 3:   Chapter 21 Arrow Addition
525.    wt: 3:   Chapter 16. Velocity Approximation
526.    wt: 3:   Chapter 15. Slope Approximation
527.    wt: 3:   Chapter 12. Units and Slopes
528.    wt: 3:   Chapter 10 Slopes and Units
529.    wt: 3:   Chapter 9 About First Courses in Calculus
530.    wt: 3:   Chapter 7 Slopes and Velocity
531.    wt: 3:   Chapter 4. More Slope Sign Analysis
532.    wt: 3:   Chapter 30 Truth Tables
533.    wt: 3:   Chapter 27 Shorthand Symbols as Pronouns
534.    wt: 3:   Chapter 24. Personal Investment and Pension EGS
535.    wt: 3:   Chapter 23. Notation For Sums
536.    wt: 3:   Chapter 18. Rules for Algebra
537.    wt: 3:   Chapter 15. Solving Linear Equations
538.    wt: 3:   Postscript Unifying Theme A Fourth Skill For Algebra
539.    wt: 3:   Chapter 13. Second Reading Guide
540.    wt: 3:   Chapter 12. Shorthand Usage Guide
541.    wt: 3:   Chapter 11. Why Shorthand
542.    wt: 3:   Chapter 8 Three Skills For Algebra
543.    wt: 3:   Chapter 7 Prep for Calculus Arithmetic Exercises
544.    wt: 3:   Chapter 5 Islands and Divisions of Knowledge
545.    wt: 3:   Chapter 4 Longer Chains of Reason
546.    wt: 3:   Chapter 1 Introduction to Chapters 2 to 6
547.    wt: 3:   Postscript B Mathematics Education References
548.    wt: 3:   Postscript C Consistency as a Tool for Reason
549.    wt: 3:   Chapter 24 Direct and Indirect Reason
550.    wt: 3:   Chapter 23 Truth Tables
551.    wt: 3:   Chapter 20 Shorthand Symbols as Pronouns
552.    wt: 3:   Chapter 19 What is in chapters 20 to 24
553.    wt: 3:   Chapter 12 Islands and Divisions of Knowledge
554.    wt: 3:   Chapter 9 What is in Chapters 10 to 18
555.    wt: 3:   Chapter 7 Longer Chains of Reason
556.    wt: 3:   Chapter 6 Chains of Reason
557.    wt: 3:   S Adding words to algebra
558.    wt: 3:   N Mathematics Prepare for College Studies
559.    wt: 3:   N Improving Marks on Tests and Finals
560.    wt: 3:   I. Logic and language skills
561.    wt: 3:   D. Check work a must with a caution
562.    wt: 3:   Helping the Blind in Logic and Mathematics
563.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
564.    wt: 3:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
565.    wt: 3:   Systematic Algebra Skill Development Missing Links
566.    wt: 2:   K LAMP Musings Science Education
567.    wt: 2:   J LAMP Introduction Extrinsic Origins
568.    wt: 2:   G LAMP Introduction Problem Solving Skills
569.    wt: 2:   F LAMP Introduction Prerequisites
570.    wt: 2:   A Introduction Objectives
571.    wt: 2:   Skills Chapter 5 Calculus
572.    wt: 2:   Skills Chapter 1 Arithmetic
573.    wt: 2:   Skills Chapter 0 Introduction
574.    wt: 2:   11 pure mathematics
575.    wt: 2:   9 combinatorics probability sets
576.    wt: 2:   6 polynomials etc
577.    wt: 2:   4 algebra
578.    wt: 2:   About site lesson plans
579.    wt: 2:   teacher certification
580.    wt: 2:   learning takes time
581.    wt: 2:   grouping students according to ability
582.    wt: 2:   mathematics in context
583.    wt: 2:   how letters appear
584.    wt: 2:   mathematics curriculum shifts
585.    wt: 2:   Lessening Algebra Difficulties
586.    wt: 2:   the trouble with algebra
587.    wt: 2:   04 29 New Mathematics Curriculum
588.    wt: 2:   04 25 when to stop or suspend mathemat
589.    wt: 2:   formal or informal peer review
590.    wt: 2:   Different Kinds of Reasoning in maths
591.    wt: 2:   Four ways to improve education reform
592.    wt: 2:   Motivation and Context Problem
593.    wt: 2:   Prequel In For A Penny In For A Pound
594.    wt: 2:   fairness and inductive principles for instruction
595.    wt: 2:   words for mathematics instructor
596.    wt: 2:   chapitre 04 09 Regles accidentelles
597.    wt: 2:   chapitre 04 08 Limitations et benefices
598.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
599.    wt: 2:   chapitre 04 06 engagements
600.    wt: 2:   chapitre 04 05 Implication versus suggestion
601.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
602.    wt: 2:   chapitre 04 00 Les regles d implication
603.    wt: 2:   chapitre 01 00 Introduction
604.    wt: 2:   problemes algebre et arithmetique
605.    wt: 2:   Trois Notions qui menent a algebre
606.    wt: 2:   deux definitions pour variable
607.    wt: 2:   3 Energy Power Heat08
608.    wt: 2:   2 Unlike resistors in parallel01
609.    wt: 2:   24 Standards For Skill Develoment
610.    wt: 2:   22 Student Centered Highschool Mathematics
611.    wt: 2:   11 Help and Defend Your Child or Teens Education
612.    wt: 2:   9 Streaming by Student Cooperation
613.    wt: 2:   8 The Effect of Negative Remarks
614.    wt: 2:   6 Discipline Who is in Charge Conserving Authority
615.    wt: 2:   3 Preparing for Science Studies
616.    wt: 2:   2 Reading and Writing Skills
617.    wt: 2:   Ages 12 to 14 Arithmetic
618.    wt: 2:   Ages 10 to 12 Arithmetic
619.    wt: 2:   Ages 3 plus to 4 plus
620.    wt: 2:   21 Graphs of functions given by Horizontal Line Method
621.    wt: 2:   19 Horizontal line rule and method
622.    wt: 2:   18 Vertical Line Rule and Method
623.    wt: 2:   15 Sign analysis of functions
624.    wt: 2:   13 From one to one to many to one
625.    wt: 2:   10 Interval Notation
626.    wt: 2:   8 Set view of relations and functions
627.    wt: 2:   1 Geometric Introduction of Function Notation
628.    wt: 2:   Introduction Reading Guide
629.    wt: 2:   10 quadratic exercises
630.    wt: 2:   Quadratics in 10 steps
631.    wt: 2:   11 Growth and Decay in Biology
632.    wt: 2:   5 Polynomials Long division Nonlinear divisor
633.    wt: 2:   4 Polynomials Long division linear divisor
634.    wt: 2:   1 Polynomials Distributive Law
635.    wt: 2:   7 arcsin left inverse of sine Definition
636.    wt: 2:   6 Graph of arccos function
637.    wt: 2:   4 possible motivation for term arccos
638.    wt: 2:   8 Parallel Vectors
639.    wt: 2:   4 Resultant of a Sum of Movements
640.    wt: 2:   Vector and Complex Number Applet
641.    wt: 2:   4 graphing y=Asin(x c)
642.    wt: 2:   3 graphing y=f(x c) plus K
643.    wt: 2:   1 graphing y=f(x a)
644.    wt: 2:   Triangle Angles Sum To 180 Degrees
645.    wt: 2:   Straight Lines Instersection Solving Equations
646.    wt: 2:   C Straight Lines Slope from Coordinates
647.    wt: 2:   B Straight Line Slope Scaling Properties More
648.    wt: 2:   12 Straight Lines Graphing mx plus b
649.    wt: 2:   11 Straight Lines Graphing y=mx
650.    wt: 2:   10 Straight Lines through Origin Equations More
651.    wt: 2:   9 Straight Lines through Origin Equations
652.    wt: 2:   7 Tangent Function is odd on this domain
653.    wt: 2:   5 Tangent Function Graph
654.    wt: 2:   17G Pythagorean Theorem Converse
655.    wt: 2:   17F Law of cosines
656.    wt: 2:   17E Trig Formulas for dot and cross Products
657.    wt: 2:   17A The complex number valued trig function cis
658.    wt: 2:   12 Graph of tangent function for one period
659.    wt: 2:   Right Triangle and Unit Circle Trigonometry
660.    wt: 2:   16 References and Originality Question
661.    wt: 2:   15 Pythagorean Theorem Converse
662.    wt: 2:   14 Law of cosines
663.    wt: 2:   3 Addition Properties
664.    wt: 2:   2 Complex Numbers made easier we hope
665.    wt: 2:   1 Angle Measurement with Degrees
666.    wt: 2:   Right Triangle and Unit Circle Trigonometry
667.    wt: 2:   12 Triangles Similarity More Problems
668.    wt: 2:   11 Triangle Similarity Missing Side Problem
669.    wt: 2:   4 Similarity Definition with Coordinate
670.    wt: 2:   9 Midpoint Coordinates Half Endpoint Sum
671.    wt: 2:   7 Exercises to test skill and concept mastery
672.    wt: 2:   3 Slope product for perpendicular lines
673.    wt: 2:   2 point slope equation for a line
674.    wt: 2:   What is and is not here
675.    wt: 2:   11 Triangle Inequality
676.    wt: 2:   8 Distance Between Points on a Line
677.    wt: 2:   PS G Rotation Distributes over Addition
678.    wt: 2:   19 Right Triangle Similarity
679.    wt: 2:   15 Triangle Angle Sum is 180 degrees
680.    wt: 2:   12 Side Angle Side Failure
681.    wt: 2:   11 Triangle Construction Fails
682.    wt: 2:   10 Dropping a perpendicular to line
683.    wt: 2:   7 Angle Side Angle
684.    wt: 2:   3 Isometry of Triangles Congruence
685.    wt: 2:   1 Initial Concepts and Terms
686.    wt: 2:   A Measurement with Ruler Proper Use
687.    wt: 2:   6 Figuring with Maps Not to Scale
688.    wt: 2:   A Signed Number Arithmetic Review
689.    wt: 2:   21 Addition of Multiples of a Single Vector
690.    wt: 2:   12 Real Numbers Line Signed Coordinates
691.    wt: 2:   9 Division with Digits after Decimal Point
692.    wt: 2:   6 Infinite Decimals Ending in 9 repeating
693.    wt: 2:   2 Counting Digits in Decimal Multiplication
694.    wt: 2:   C Three Decimal Subtraction Methods
695.    wt: 2:   8 Column Multiplication Methods in General
696.    wt: 2:   6 Column Methods for Decimal Multiplication
697.    wt: 2:   4 Commutative Law Groups Counting Form
698.    wt: 2:   3 Multiplicative Counting Skills Principles
699.    wt: 2:   2 Combing Counts Addition Skills and Principles
700.    wt: 2:   2 Algebraic View
701.    wt: 2:   1 What is Proportionality
702.    wt: 2:   3 Product Axioms Two Forms
703.    wt: 2:   1 Equivalent Computation Rules
704.    wt: 2:   4 Comparison of Negative Numbers
705.    wt: 2:   1 Real Numbers Comparison
706.    wt: 2:   16 Real Numbers Comparison
707.    wt: 2:   14 Real Number Multiplication
708.    wt: 2:   11 Real Number Addition
709.    wt: 2:   10 Real Number Lengths and Signs
710.    wt: 2:   9 Coordinates for Regions in Space
711.    wt: 2:   5 Rational Numbers More
712.    wt: 2:   4 Rational Numbers
713.    wt: 2:   3 Fractions
714.    wt: 2:   5 Independent versus Dependent Variables
715.    wt: 2:   3 Four Examples
716.    wt: 2:   1 Proper Equal Sign Usage
717.    wt: 2:   3 Two Examples
718.    wt: 2:   Using Letters for Physical Quantities
719.    wt: 2:   7 Compound Interest Formula Introduction
720.    wt: 2:   5 Box Volume Formula Example
721.    wt: 2:   1 Written work formats for developing and showing skill
722.    wt: 2:   7 Cautious or Safe Set Construction
723.    wt: 2:   3 Counting with Sets etc
724.    wt: 2:   2 Venn Diagrams
725.    wt: 2:   1 Three Skills For Algebra
726.    wt: 2:   2 More and Less Than with Unlike Signs
727.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
728.    wt: 2:   16 GCD and LCM of 650 225 via Prime
729.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
730.    wt: 2:   11 GCD 2700 288 via Euclid Algorithm
731.    wt: 2:   10 Euclid Algorithm with 129 125 and with 45 14
732.    wt: 2:   8 GCD from Euclidean Algorithm
733.    wt: 2:   4 LCM of 8 and 10 via Prime
734.    wt: 2:   1 Least Common Multiples LCM Introduction
735.    wt: 2:   5 Counting with Tables Trees Product Rule Take II
736.    wt: 2:   2 Counting with Tables and Trees I
737.    wt: 2:   4 signed coordinates for regions in space
738.    wt: 2:   6 Simplification of Fractions with Units
739.    wt: 2:   3 Multiplying Units and Numbers
740.    wt: 2:   2 Equality and Units
741.    wt: 2:   20 Dividing Fractions the Why
742.    wt: 2:   12 Fraction Comparison
743.    wt: 2:   9 Improper Fractions and Mixed Numbers
744.    wt: 2:   5 Equivalent Fractions
745.    wt: 2:   4 Fraction Multiplication
746.    wt: 2:   2 Unit Fraction Multiplication
747.    wt: 2:   D Remainders Modulo 11 Pair Rule
748.    wt: 2:   12 Adding Integers More Examples
749.    wt: 2:   10 Integer Multiplication Formulas
750.    wt: 2:   5 Zero Movement and Additive Inverses
751.    wt: 2:   1 Integers as Coordinates
752.    wt: 2:   27 Divisibility by 2 3 6 5 9 10 Example
753.    wt: 2:   26 Divisibility by 2 3 5 Example
754.    wt: 2:   25 Divisibility Tests for 2 3 5 9 10 Example
755.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
756.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
757.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
758.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
759.    wt: 2:   11 Remainder Arithmetic Long Division by 5 Quickly more
760.    wt: 2:   10 Remainder Arithmetic Long Division by 5 Quickly
761.    wt: 2:   9 Remainder Arithmetic Divisibility by 5
762.    wt: 2:   6 Remainder Arithmetic Modulo 5 Propertie
763.    wt: 2:   5 Remainder Arithmetic Modulo 5
764.    wt: 2:   2 Remainder Arithmetic Modulo 10 more
765.    wt: 2:   1 Remainder Arithmetic Modulo 10
766.    wt: 2:   20 Uniqueness of Prime Factorization
767.    wt: 2:   19 video Prime Factorization Unique
768.    wt: 2:   17 Identify and Count Factors using Primes
769.    wt: 2:   14 video Factors of 24 Take II
770.    wt: 2:   13 video Factors of 24 using prime
771.    wt: 2:   8 video Prime Factorization upto 19
772.    wt: 2:   2 Prime and Composites less than 16
773.    wt: 2:   Long Division Backwards more
774.    wt: 2:   Long Division Backward
775.    wt: 2:   12 Why Long Division Works Take III
776.    wt: 2:   11 Another Single Digit Divisor Example
777.    wt: 2:   10 Division by Five Long and Short Ways
778.    wt: 2:   9 Why Long Division Works Take II
779.    wt: 2:   7 Long Divison Mistake Catching
780.    wt: 2:   3 Division Single Digit Divisor Example
781.    wt: 2:   1 Divsion Physical Examples
782.    wt: 2:   D Decimal Multiplication Methods Derived
783.    wt: 2:   C Counting Areas with Powers of Ten
784.    wt: 2:   6 Multiplication Commutes Order Not Important
785.    wt: 2:   1 Why 3 times 5 gives 15
786.    wt: 2:   Subtraction with J Conversions Example
787.    wt: 2:   Subtraction Another Video Lesson
788.    wt: 2:   8 Subtraction with Units of Measure
789.    wt: 2:   6 Subtraction with Conversion Example with Exercises
790.    wt: 2:   5 A Tip for Efficent Subtraction
791.    wt: 2:   4 Subtraction with Conversions Borrows and Letter J
792.    wt: 2:   4. How to add with decimals B with conversions
793.    wt: 2:   2 Decimal Counting Practices
794.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
795.    wt: 2:   1 Place Value in Three Digit Whole Numbers
796.    wt: 2:   Expression Evaluation how to show work
797.    wt: 2:   The 12 Times Table Visually
798.    wt: 2:   012 Division of Time Intervals by Time Intervals
799.    wt: 2:   7 Addition of Time Intervals
800.    wt: 2:   4 Mixing and Changing Units of Time
801.    wt: 2:   3 Units and Lengths of Time
802.    wt: 2:   1 Intro of Kids To Time Date Skills
803.    wt: 2:   Example 2 volume of a cone
804.    wt: 2:   Example 3
805.    wt: 2:   5 Area Under Curve Exercise
806.    wt: 2:   3 Two Chain Rule Method Exercises
807.    wt: 2:   1 Chain Rule in Reverse Integration Method
808.    wt: 2:   4 Second derivative test exercise example
809.    wt: 2:   3 Second derivative test
810.    wt: 2:   1 Two cubic sketching exercises with 1st derivative
811.    wt: 2:   31 Derivatives of inverse functions
812.    wt: 2:   27 Chain Rule sinusoidal outer inner functions EGS
813.    wt: 2:   22 Chain Rule for polynomials
814.    wt: 2:   19 Chain Rule for linear functions
815.    wt: 2:   18 Chain Rule Introduction
816.    wt: 2:   8 Differentiation of polynomials
817.    wt: 2:   2 Motivation for Limit Definition Take 1
818.    wt: 2:   11 Limits at infinity Three Examples
819.    wt: 2:   6 Continuity at a point
820.    wt: 2:   5 Jumps and absence of unlimited error control
821.    wt: 2:   3 Decimal insights for limits continuity convergence
822.    wt: 2:   1 Numerical introduction
823.    wt: 2:   .H2 Lipshitz Conditions Integration Calculus Reform
824.    wt: 2:   G.3 Constant Difference Theorem Proof
825.    wt: 2:   F.1 What Functions are Continuous
826.    wt: 2:   E2 Algebraic Properties of Limits
827.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
828.    wt: 2:   C Triangle Inequalities
829.    wt: 2:   A1. Introduction
830.    wt: 2:   Chapter 23 Links To Trigonometry
831.    wt: 2:   Chapter 20 Vectors and Complex Numbers
832.    wt: 2:   Chapter 11. Graphing Slope versus Position
833.    wt: 2:   Chapter 8. Slope Interpretation
834.    wt: 2:   Chapter 1.Introduction
835.    wt: 2:   Appendix C. How to Read
836.    wt: 2:   Appendix B. How To Learn
837.    wt: 2:   Chapter 28 Occurrence Tables
838.    wt: 2:   Chapter 22. Geometric Sums and Sequences
839.    wt: 2:   Chapter 21. Third Reading Guide
840.    wt: 2:   Chapter 19. Functions and Sets
841.    wt: 2:   Chapter 16. Painless Theorem Proving
842.    wt: 2:   Postscript A Three Remarks
843.    wt: 2:   Chapter 12 Four Phases
844.    wt: 2:   Chapter 11 Elementary Instruction
845.    wt: 2:   Chapter 10 Transition
846.    wt: 2:   Chapter 7 Two Treatments of Geometry
847.    wt: 2:   Chapter 1 Introduction
848.    wt: 2:   Postscript B More on Story Telling and Reason
849.    wt: 2:   Chapter 21 Occurrence Tables
850.    wt: 2:   Chapter 18 Sense and Knowledge
851.    wt: 2:   Chapter 1 Introduction
852.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
853.    wt: 2:   L Skills with take home value
854.    wt: 2:   H Jigsaw puzzles and problem solving
855.    wt: 2:   G. Written work formats for developing and showing skill
856.    wt: 2:   F. The student teacher tutor feedback loop
857.    wt: 2:   A. Skill has to be seen to believed
858.    wt: 2:   Ends Values Methods For Skill Development Framework Prequel
859.    wt: 2:   Road Safety Questions
860.    wt: 1:   Skills Chapter 4 Logic
861.    wt: 1:   Ramblings Extrinsic numbers theory
862.    wt: 1:   Skills Chapter 2 Geometry
863.    wt: 1:   10 statistics
864.    wt: 1:   2 arithmetic with signed numbers
865.    wt: 1:   1 arithmetic with unsigned numbers
866.    wt: 1:   What is POMME
867.    wt: 1:   why bother
868.    wt: 1:   which way to go
869.    wt: 1:   three goals to set for students
870.    wt: 1:   permissions for teachers
871.    wt: 1:   activities for students
872.    wt: 1:   links Education Resources online
873.    wt: 1:   site eurekas
874.    wt: 1:   key notes and themes
875.    wt: 1:   modern education
876.    wt: 1:   Education Reform Inconsistencies
877.    wt: 1:   teaching tips
878.    wt: 1:   What to Tell Students
879.    wt: 1:   02 21 words for teachers
880.    wt: 1:   cultivating intelligence
881.    wt: 1:   How to be a better instructor
882.    wt: 1:   chapitre 12 00 les iles et division
883.    wt: 1:   chapitre 05 00 Deception
884.    wt: 1:   chapitre 04 02 Deuxieme enigme
885.    wt: 1:   chapitre 04 01 Premiere enigme
886.    wt: 1:   4 Energy Power Heat09
887.    wt: 1:   2 Energy Power Heat07
888.    wt: 1:   1 Energy Power Heat06
889.    wt: 1:   C Energy Power03
890.    wt: 1:   A Energy Power01
891.    wt: 1:   E Kirchoffs Second Law
892.    wt: 1:   D Kirchoff First Law
893.    wt: 1:   C Electromotive force conventional current02
894.    wt: 1:   B Electromotive force conventional current01
895.    wt: 1:   A Circuit Elements
896.    wt: 1:   Home Tutoring and Home Schooling
897.    wt: 1:   15 Counting For Parents
898.    wt: 1:   10 Ends values for work study instruction
899.    wt: 1:   7 Student Motivation
900.    wt: 1:   1 Speaking Skills
901.    wt: 1:   Ages 12 to 14 Geometry
902.    wt: 1:   Ages 10 to 12 Geometry
903.    wt: 1:   Ages 9 to 10
904.    wt: 1:   Ages 8 to 9
905.    wt: 1:   Ages 7 to 8
906.    wt: 1:   Ages 6 to 7
907.    wt: 1:   Ages 4 plus to 5 plus
908.    wt: 1:   26 Function definitions done and coming
909.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
910.    wt: 1:   23 Inverse Functions
911.    wt: 1:   12 Function Domain Recognition Exercises
912.    wt: 1:   9 Set theory term relation possible origins
913.    wt: 1:   7 Functions with finite domains
914.    wt: 1:   2 Column Multiplication Method
915.    wt: 1:   2 cosine function more properties
916.    wt: 1:   1 cosine function properties
917.    wt: 1:   15 Dot and Cross Product
918.    wt: 1:   13 Velocity Vectors in Physics
919.    wt: 1:   6 Vectors with Coordinates
920.    wt: 1:   2 Signed Coordinates
921.    wt: 1:   1 Unsigned Coordinates
922.    wt: 1:   Straight Lines Intersection of
923.    wt: 1:   4 Tangent Function Properties
924.    wt: 1:   1 Straight Lines Slope Concept
925.    wt: 1:   8 period of tangent function
926.    wt: 1:   1 Unit Points Reflections Rotations
927.    wt: 1:   9 The complex number valued trig function cis
928.    wt: 1:   4 Multiplication Properties
929.    wt: 1:   7 Trignometric Ratios Unit Circle
930.    wt: 1:   2 Similarity By Design
931.    wt: 1:   8 Mid Point Formula
932.    wt: 1:   6 Intersection of lines by solving linear systems
933.    wt: 1:   4 Equations for lines three forms
934.    wt: 1:   7 Complex Numbers Appetizer
935.    wt: 1:   Euclidean Geometry Elsewhere LINKS
936.    wt: 1:   PS H Distributive Law For Complex Numbers
937.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
938.    wt: 1:   PS A Kite Construction Methods
939.    wt: 1:   17 Right Bisectors of Triangle Sides
940.    wt: 1:   9 Construction of a right bisector
941.    wt: 1:   8 Isoceles Triangles
942.    wt: 1:   5 Side Angle Side
943.    wt: 1:   2 Correspondence between Triangles
944.    wt: 1:   Short Course on Euclidean Geometry
945.    wt: 1:   1 Length Measurement
946.    wt: 1:   About Folder Contents
947.    wt: 1:   musings do not puiblish real numbers
948.    wt: 1:   24 Signed Numbers Arithmmetic Properties
949.    wt: 1:   22 Multiplication of Signed Numbers
950.    wt: 1:   5 Distributive Law for Whole Numbers
951.    wt: 1:   15 Real Number Division
952.    wt: 1:   6 Unsigned Real Numbers
953.    wt: 1:   4 Changing Letters
954.    wt: 1:   2 GE II Comparison
955.    wt: 1:   1 GE Substitution four examples
956.    wt: 1:   2 Essentially one exercises three with solution
957.    wt: 1:   1 Essentially One Unknown
958.    wt: 1:   2 Three Examples
959.    wt: 1:   10 One Example
960.    wt: 1:   9 Three Examples
961.    wt: 1:   8 One Example
962.    wt: 1:   7 Two Examples
963.    wt: 1:   6 Three Examples
964.    wt: 1:   5 Three Examples
965.    wt: 1:   4 Two Examples
966.    wt: 1:   2 Three Examples
967.    wt: 1:   12 Cone Cylinder Sphere Lesson Idea
968.    wt: 1:   10 Volume of Pyramid
969.    wt: 1:   10 Set View of Wordy Extensions To Arithmetic
970.    wt: 1:   6 Power Set Notation
971.    wt: 1:   5 Product Builder Notation
972.    wt: 1:   4 Subset Builder Notation
973.    wt: 1:   About Folder Contents
974.    wt: 1:   5 Square Roots with primes more still
975.    wt: 1:   4 Square Roots with primes more
976.    wt: 1:   2 Square Roots with Prime
977.    wt: 1:   5 Common Divisors 60 45 via Prime
978.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
979.    wt: 1:   12 GCD 2700 288 via Prime
980.    wt: 1:   4 Counting with Trees Product Rule Take I
981.    wt: 1:   1 Counting and Counting Methods I
982.    wt: 1:   9 subtracting signed numbers
983.    wt: 1:   6 adding signed numbers
984.    wt: 1:   5 lengths and signs of numbers
985.    wt: 1:   7 Converting or Changing Units
986.    wt: 1:   4 Fractions with Units
987.    wt: 1:   D Three Term Ratios
988.    wt: 1:   22 Complex Compound Fractions
989.    wt: 1:   19 Dividing Fractions How TO
990.    wt: 1:   18 Efficient Ways to Multiply
991.    wt: 1:   8 Multiplication by Signed Numbers Integers
992.    wt: 1:   7 Multiplication by Signs
993.    wt: 1:   4 Adding Movements wiht opposite directions
994.    wt: 1:   2 Integers Multiplies of a Unit Moverment
995.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
996.    wt: 1:   16 video Factors of 980 using prime
997.    wt: 1:   12 LCD GCD and LCM using Primes
998.    wt: 1:   11 Efficient Square Rule Use
999.    wt: 1:   Division with Counts and Length
1000.    wt: 1:   8 Correcting the Mistake
1001.    wt: 1:   4 Two and Three Digit Multipliers
1002.    wt: 1:   3 More One Digit Multipliers
1003.    wt: 1:   9 22 Minute Subtraction Review Video
1004.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
1005.    wt: 1:   The 20 Times Table
1006.    wt: 1:   About folder contents
1007.    wt: 1:   011 Division of Time Intervals By Numbers
1008.    wt: 1:   6 How long is a million seconds
1009.    wt: 1:   5 Conversion Arithmetic
1010.    wt: 1:   Example 4 with x function of y
1011.    wt: 1:   Example 2
1012.    wt: 1:   Example 1
1013.    wt: 1:   Summary
1014.    wt: 1:   2 Indefinite Integrals Exercises
1015.    wt: 1:   2 Second derivative test prequel
1016.    wt: 1:   26 Chain Rule Recognising outer inner functions
1017.    wt: 1:   21 Chain Rule for powers
1018.    wt: 1:   20 Chain Rule for Pulley Systems
1019.    wt: 1:   12 Quotient rule examples
1020.    wt: 1:   10 Power rule for negative integers
1021.    wt: 1:   9 Reciprocal rule
1022.    wt: 1:   10 Three one sided limits with infinite values
1023.    wt: 1:   9 Limits Continuity and Composition
1024.    wt: 1:   4 Numerical properties
1025.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
1026.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
1027.    wt: 1:   F.5b Extreme Value Theorem
1028.    wt: 1:   F.5a Equicontinuity Theorems
1029.    wt: 1:   F.2 Closed Range Theorem
1030.    wt: 1:   E1 Error Control Inequalities
1031.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
1032.    wt: 1:   Chapter 22 Complex Numbers
1033.    wt: 1:   Chapter 5. Slope Sign Tests
1034.    wt: 1:   Postscript More on Better Performance
1035.    wt: 1:   Postscript For Better Performance
1036.    wt: 1:   Solutions For Arithmetic Exercises
1037.    wt: 1:   Chapter 9 The Two Ends
1038.    wt: 1:   Chapter 8 Modern Instruction
1039.    wt: 1:   Chapter 5 Four References
1040.    wt: 1:   Postscript D Reflections on Law of the Excluded Middle
1041.    wt: 1:   Postscript A Story Telling
1042.    wt: 1:   Chapter 15 Objective Processes
1043.    wt: 1:   Chapter 10 Responsibility
1044.    wt: 1:   Chapter 5 Deception
1045.    wt: 1:   Chapter 2 Skill Development
1046.    wt: 1:   Three Remarks
1047.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
1048.    wt: 1:   M Words to extend arithmetic
1049.    wt: 1:   J. More on written work and showing skill
1050.    wt: 1:   E. When and how to correct errors
1051.    wt: 1:   C. Domino effect of being careful
1052.    wt: 1:   How to Build Skills and Confidence
1053.    wt: 1:   Implementation Notes
1054.    wt: 1:   Which Way To Go
1055.    wt: 10:   33 sines and cosines of 2A 3A 4A 5A

Extended Search

1117 matches:

1.    wt: 9:   Skills Chapter 4 Logic
2.    wt: 9:   Skills Chapter 2 Geometry
3.    wt: 9:   8 analytic geometry etc
4.    wt: 9:   Math Ed if it must be short make it lean effective
5.    wt: 9:   what should be learnt and When
6.    wt: 9:   five decades make a difference
7.    wt: 9:   talk the algebra talk
8.    wt: 9:   three goals for Mathematics Education
9.    wt: 9:   standards for course material
10.    wt: 9:   Education in mathematics science and technology
11.    wt: 9:   education an empirical art
12.    wt: 9:   Objectives for Mathematics and Logic Language Skill Development
13.    wt: 9:   10 quadratic exercises
14.    wt: 9:   Quadratics in 10 steps
15.    wt: 9:   10 Exponential Growth and Decay Models
16.    wt: 9:   9 Formulas for Real Exponents with Logarithms
17.    wt: 9:   7 Formulas for Roots with Logarithms Derivation
18.    wt: 9:   6 Formulas for Even and Odd Roots with Logarithms
19.    wt: 9:   2 Square Root Simplification a prequel
20.    wt: 9:   1 Calculator Starter Exercises
21.    wt: 9:   6 Polynomial Operations and Equivalent Computation Rules
22.    wt: 9:   A Global Time and Navigation
23.    wt: 9:   3 Navigation with Arrows or Vectors
24.    wt: 9:   4 graphing y=Asin(x c)
25.    wt: 9:   3 graphing y=f(x c) plus K
26.    wt: 9:   1 graphing y=f(x a)
27.    wt: 9:   SAS Method For Isometric Or Proportional Triangle Construction
28.    wt: 9:   Analytic View of Triangle Construction or Line Instersection More
29.    wt: 9:   Straight Lines ASA Intersection Study More
30.    wt: 9:   Straight Lines ASA Intersection Study
31.    wt: 9:   D Straight Lines Slope from Coordinates Examples
32.    wt: 9:   A Straight Line Slope Scaling Properties
33.    wt: 9:   11 Straight Lines Graphing y=mx
34.    wt: 9:   10 Straight Lines through Origin Equations More
35.    wt: 9:   9 Straight Lines through Origin Equations
36.    wt: 9:   8 Straight Lines Equation for vertical
37.    wt: 9:   2 Straight Lines Slopes As Rise Over Run
38.    wt: 9:   7 Translations Rotations Reflections Dilatations
39.    wt: 9:   11 A Partial Summary
40.    wt: 9:   13 Angle Side Angle Failure
41.    wt: 9:   5 Drawing to Scale Avoids Angle Distortions
42.    wt: 9:   A Modular and Remainder Arithmetic
43.    wt: 9:   13 Arrows and Vectors in a Plane
44.    wt: 9:   B Decimal Comparison and Subtraction
45.    wt: 9:   6 Compound Interest Forward and Backwards
46.    wt: 9:   3 Linear Equation Literal Solution More
47.    wt: 9:   3 Product Axioms Two Forms
48.    wt: 9:   1 Equivalent Computation Rules
49.    wt: 9:   2 Computation Rules Evaluation
50.    wt: 9:   1 Formulas Dependence and Function Notation
51.    wt: 9:   2 Three Examples
52.    wt: 9:   Formula Usage Show Work Format
53.    wt: 9:   7 Compound Interest Formula Introduction
54.    wt: 9:   5 Box Volume Formula Example
55.    wt: 9:   1 Written work formats for developing and showing skill
56.    wt: 9:   3 Properties of Square Roots with example
57.    wt: 9:   2 Least Common Multiple LCM intro via list method
58.    wt: 9:   3 Counting with Tables and Trees II
59.    wt: 9:   17 Efficient Ways to Add and Subtract
60.    wt: 9:   16 Addition Subtraction Comparision Compared
61.    wt: 9:   15 Adding and Subtracting with Unlike Denominators
62.    wt: 9:   14 Adding and Subtracting with Like Denominators
63.    wt: 9:   11 Simplification an Algebraic View
64.    wt: 9:   10 Simplification of Fractions and Mixed Numerals
65.    wt: 9:   1 What is a fraction Take II
66.    wt: 9:   23 Remainder Arithmetic Modulo 2
67.    wt: 9:   22 Remainder Arithmetic Modulo 3 more
68.    wt: 9:   21 Remainder Arithmetic Modulo 3
69.    wt: 9:   19 Remainder Arithmetic Rule of 9 for checking sums III
70.    wt: 9:   16 Remainder Arithmetic Modulo 9 Example 2
71.    wt: 9:   11 Remainder Arithmetic Long Division by 5 Quickly more
72.    wt: 9:   10 Remainder Arithmetic Long Division by 5 Quickly
73.    wt: 9:   6 Remainder Arithmetic Modulo 5 Propertie
74.    wt: 9:   4 Remainder Arithmetic Modulo 10 in general
75.    wt: 9:   3 Remainder Arithmetic Modulos 10 more still
76.    wt: 9:   19 video Prime Factorization Unique
77.    wt: 9:   14 video Factors of 24 Take II
78.    wt: 9:   8 video Prime Factorization upto 19
79.    wt: 9:   6 Sieve of Eratosthenes and Square Rule
80.    wt: 9:   Long Division Backward
81.    wt: 9:   D Decimal Multiplication Methods Derived
82.    wt: 9:   C Counting Areas with Powers of Ten
83.    wt: 9:   6 Multiplication Commutes Order Not Important
84.    wt: 9:   3 More One Digit Multipliers
85.    wt: 9:   1 Why 3 times 5 gives 15
86.    wt: 9:   9 22 Minute Subtraction Review Video
87.    wt: 9:   34 Derivative of exponential function
88.    wt: 9:   31 Derivatives of inverse functions
89.    wt: 9:   30Chain Rule A Proof
90.    wt: 9:   29 Chain Rule Optional Reading
91.    wt: 9:   23 Chain Rule in general
92.    wt: 9:   22 Chain Rule for polynomials
93.    wt: 9:   3 Motivation for Limit Definition Take 2
94.    wt: 9:   12 Limits with Parameters and Derivatives Take I
95.    wt: 9:   B3 Bolzano Weierstrass Theorem
96.    wt: 9:   PostScript For and Against Decimal Perspectives
97.    wt: 9:   Chapter 22 Complex Numbers
98.    wt: 9:   Chapter 5. Slope Sign Tests
99.    wt: 9:   Chapter 14. Forward and Backward Use of a Formula
100.    wt: 9:   Chapter 23 Truth Tables
101.    wt: 9:   Chapter 17 Objective Ways Trial and Error Discovery
102.    wt: 9:   Chapter 11 Accidental Patterns
103.    wt: 9:   Chapter 8 Change of Language
104.    wt: 9:   Systematic Algebra Skill Development Missing Links
105.    wt: 9:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
106.    wt: 8:   11 pure mathematics
107.    wt: 8:   9 combinatorics probability sets
108.    wt: 8:   6 polynomials etc
109.    wt: 8:   4 algebra
110.    wt: 8:   Teach the teachers plus goals
111.    wt: 8:   Mathematics Education Professors
112.    wt: 8:   learning takes time
113.    wt: 8:   grouping students according to ability
114.    wt: 8:   mathematics in context
115.    wt: 8:   Education Reform Inconsistencies
116.    wt: 8:   Maps Plans Drawings
117.    wt: 8:   Secondary Three Mathematics
118.    wt: 8:   Secondary Two Mathematics
119.    wt: 8:   Secondary One Mathematics
120.    wt: 8:   geometric implications for algebra
121.    wt: 8:   the trouble with algebra
122.    wt: 8:   05 13 OldSiteEntrancePage
123.    wt: 8:   02 20 mathematics education references
124.    wt: 8:   three aims for mathematics students
125.    wt: 8:   Operational Viewpoint to Value
126.    wt: 8:   mathematics instruction in general
127.    wt: 8:   Different Kinds of Reasoning in maths
128.    wt: 8:   three kinds of reason in mathematics
129.    wt: 8:   need for a mixed mathematics curriculum
130.    wt: 8:   Leaner mathematics curriculum
131.    wt: 8:   chapitre 03 A Propos Des Prochains Chapitre
132.    wt: 8:   11 Growth and Decay in Biology
133.    wt: 8:   3 Polynomials Multiplication Addition
134.    wt: 8:   10 Parallelogram Addition Method
135.    wt: 8:   5 Head To Tail Arrow Addition
136.    wt: 8:   Straight Lines Instersection Solving Equations
137.    wt: 8:   Straight Lines Intersection of
138.    wt: 8:   C Straight Lines Slope from Coordinates
139.    wt: 8:   B Straight Line Slope Scaling Properties More
140.    wt: 8:   7 Tangent Function is odd on this domain
141.    wt: 8:   5 Tangent Function Graph
142.    wt: 8:   31 basic secant cosecant cotangent trig identities
143.    wt: 8:   29 secant cosecant and cotangent for acute angles
144.    wt: 8:   21 sine and cosine Half Angle Formulas
145.    wt: 8:   15 sine cosine Complementary Angle Relations
146.    wt: 8:   14 cosine even and sine and tangent are odd
147.    wt: 8:   6 sines and cosines for reference angle 30 degrees
148.    wt: 8:   10 Similarity of Triangles Equivalent of Two Criteria
149.    wt: 8:   9 Similarity of Triangles Usual Criteria
150.    wt: 8:   6 Geometric Diagrams in Class
151.    wt: 8:   5 Similarity of Circles Squares and Rectangles
152.    wt: 8:   3 Similarity by Design with coordinates
153.    wt: 8:   10 Midpoint of [a b] and [b a]
154.    wt: 8:   5 Algebraic View of Slopes
155.    wt: 8:   3 Slope product for perpendicular lines
156.    wt: 8:   1 Numerical view of lines and their equations
157.    wt: 8:   PS F Scalar Multiplication Distributes over Addition
158.    wt: 8:   PS D Addition with Cartesian Coordinates
159.    wt: 8:   8 More Use of Maps Not Drawn to Scale
160.    wt: 8:   2 Measuring Area Directly
161.    wt: 8:   26 More Less Greater Than Comparison
162.    wt: 8:   23 Distributive Law Two Derivations
163.    wt: 8:   14 Vector Head to Tail Sums and Resultants
164.    wt: 8:   3 Location of Point in Decimal Multiplication
165.    wt: 8:   A Decimal Addition Columm Methods
166.    wt: 8:   7 Decimals Multiplication Methods Examples
167.    wt: 8:   3 Multiplicative Counting Skills Principles
168.    wt: 8:   7 Pythagorean Theorem Chinese Square Proof
169.    wt: 8:   2 Linear Equation Literal Solution
170.    wt: 8:   1 Changing Calculations
171.    wt: 8:   8 Coordinates for Maps and Planes
172.    wt: 8:   5 Independent versus Dependent Variables
173.    wt: 8:   Using Letters for Physical Quantities
174.    wt: 8:   12 Cone Cylinder Sphere Lesson Idea
175.    wt: 8:   10 Volume of Pyramid
176.    wt: 8:   3 Comparison of Negative Numbers
177.    wt: 8:   1 More and Less Than for Counts and Measures
178.    wt: 8:   17 GCD LCM of 85 and 60 via Prime
179.    wt: 8:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
180.    wt: 8:   13 GCD from given Prime Factorization
181.    wt: 8:   7 GCD and LCM from prime factorization
182.    wt: 8:   1 Least Common Multiples LCM Introduction
183.    wt: 8:   5 Counting with Tables Trees Product Rule Take II
184.    wt: 8:   2 Counting with Tables and Trees I
185.    wt: 8:   3 signed coordinates for maps and planes
186.    wt: 8:   5 Reciprocals and Division for Fractions with Units
187.    wt: 8:   1 Addition and Subtraction with Units
188.    wt: 8:   B Fractions and Two Term Ratios
189.    wt: 8:   21 Reciprocals for Fractions and Wholes
190.    wt: 8:   1 What is a fraction
191.    wt: 8:   A Associative Law Theorectical Note
192.    wt: 8:   27 Divisibility by 2 3 6 5 9 10 Example
193.    wt: 8:   26 Divisibility by 2 3 5 Example
194.    wt: 8:   25 Divisibility Tests for 2 3 5 9 10 Example
195.    wt: 8:   20 Remainder Arithmetic Rule of 9 for checking sums IV
196.    wt: 8:   18 Remainder Arithmetic Rule of 9 for checking sums II
197.    wt: 8:   17 Remainder Arithmetic Rule of 9 for checking sums I
198.    wt: 8:   5 Remainder Arithmetic Modulo 5
199.    wt: 8:   2 Remainder Arithmetic Modulo 10 more
200.    wt: 8:   1 Remainder Arithmetic Modulo 10
201.    wt: 8:   20 Uniqueness of Prime Factorization
202.    wt: 8:   17 Identify and Count Factors using Primes
203.    wt: 8:   16 video Factors of 980 using prime
204.    wt: 8:   2 Prime and Composites less than 16
205.    wt: 8:   Long Division Backwards more
206.    wt: 8:   6 Why Decimal Long Division Methods Works Take I
207.    wt: 8:   3 Division Single Digit Divisor Example
208.    wt: 8:   4 Two and Three Digit Multipliers
209.    wt: 8:   10 Names for Big Numbers and Powers of Ten Expansion
210.    wt: 8:   2 Groups of Three Place Value for Multidigit Decimals
211.    wt: 8:   016 Numbering Occidental Calendar Days
212.    wt: 8:   9 Comparison and Subtraction of Time Intervals
213.    wt: 8:   8 Addition of Time Intervals via subtotaling
214.    wt: 8:   Volume of Solid by Cross Sections Lesson
215.    wt: 8:   Summary
216.    wt: 8:   A Related Material in Volume 3
217.    wt: 8:   27 Chain Rule sinusoidal outer inner functions EGS
218.    wt: 8:   19 Chain Rule for linear functions
219.    wt: 8:   18 Chain Rule Introduction
220.    wt: 8:   12 Quotient rule examples
221.    wt: 8:   8 Differentiation of polynomials
222.    wt: 8:   2 Motivation for Limit Definition Take 1
223.    wt: 8:   7 Evaluation by immediate or delayed substitution
224.    wt: 8:   Postscript One Sided and Intermediate Value Theorems
225.    wt: 8:   .H1 First Fundamental Theorem of Calculus
226.    wt: 8:   G.2 Differentiable Functions Mean Value Theorem
227.    wt: 8:   F.3 Intermediate Value Theorem
228.    wt: 8:   Foreword
229.    wt: 8:   Chapter 2 Implication Rules Forwards and Backwards
230.    wt: 8:   Chapter 2 For and Against Mathematics
231.    wt: 8:   Postscript C Consistency as a Tool for Reason
232.    wt: 8:   Chapter 24 Direct and Indirect Reason
233.    wt: 8:   Chapter 20 Shorthand Symbols as Pronouns
234.    wt: 8:   Chapter 19 What is in chapters 20 to 24
235.    wt: 8:   Chapter 12 Islands and Divisions of Knowledge
236.    wt: 8:   Chapter 9 What is in Chapters 10 to 18
237.    wt: 8:   Chapter 7 Longer Chains of Reason
238.    wt: 8:   Chapter 6 Chains of Reason
239.    wt: 7:   10 statistics
240.    wt: 7:   2 arithmetic with signed numbers
241.    wt: 7:   1 arithmetic with unsigned numbers
242.    wt: 7:   What is POMME
243.    wt: 7:   permissions for teachers
244.    wt: 7:   About site lesson plans
245.    wt: 7:   teacher certification
246.    wt: 7:   modern education
247.    wt: 7:   how letters appear
248.    wt: 7:   mathematics curriculum shifts
249.    wt: 7:   Lessening Algebra Difficulties
250.    wt: 7:   04 29 New Mathematics Curriculum
251.    wt: 7:   04 25 when to stop or suspend mathemat
252.    wt: 7:   formal or informal peer review
253.    wt: 7:   Four ways to improve education reform
254.    wt: 7:   Motivation and Context Problem
255.    wt: 7:   Prequel In For A Penny In For A Pound
256.    wt: 7:   fairness and inductive principles for instruction
257.    wt: 7:   words for mathematics instructor
258.    wt: 7:   chapitre 07 00 Des chaines plus longues de la raison
259.    wt: 7:   chapitre 06 00 Chaines de la raison
260.    wt: 7:   Quebec cahiers d apprentissage en mathematiques pour 4 16
261.    wt: 7:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
262.    wt: 7:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
263.    wt: 7:   13 Addition and Addition Tables
264.    wt: 7:   Ages 12 to 14 Skills with take home value
265.    wt: 7:   Ages 3 plus to 4 plus
266.    wt: 7:   25 Absolute Value greatest integer and saw tooth functions
267.    wt: 7:   17 Function maxima minima and their location
268.    wt: 7:   16 cotangent function Definition Graph and Inverse
269.    wt: 7:   15 cosecant function Definition Graph and Inverse
270.    wt: 7:   13 cosecant function Definition Graph and Inverse
271.    wt: 7:   11 arctan left inverse of tangent Graph
272.    wt: 7:   12 From Applied To Pure Mathematics
273.    wt: 7:   9 Head to Tail Coordinate View
274.    wt: 7:   4 Tangent Function Properties
275.    wt: 7:   1 Straight Lines Slope Concept
276.    wt: 7:   32 seven rows of pascals triangle
277.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
278.    wt: 7:   20 sine and cosine Double Angle Formulas
279.    wt: 7:   19 Pythagorean Identity For sine and cosine functions
280.    wt: 7:   18 sum of sinusoidal waves as a single wave
281.    wt: 7:   17D cis formulas for sine cosines and tangent
282.    wt: 7:   17C sine and cosine double triple angle formulas
283.    wt: 7:   17B sine cosine Angle Sum Formulas via cis
284.    wt: 7:   10 Graphs of sines and cosines many periods
285.    wt: 7:   3 sines and cosines for reference angle 90 degrees
286.    wt: 7:   12 cis formulas for sine cosines and tangent
287.    wt: 7:   11 sine and cosine double triple angle formulas
288.    wt: 7:   10 sine cosine Angle Sum Formulas via cis
289.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
290.    wt: 7:   3 Trigonometric Ratios sine and cosine
291.    wt: 7:   8 Similarity of Triangles and Polygons
292.    wt: 7:   1 Early Concept of Like or Similar Shapes
293.    wt: 7:   9 Midpoint Coordinates Half Endpoint Sum
294.    wt: 7:   7 Exercises to test skill and concept mastery
295.    wt: 7:   2 point slope equation for a line
296.    wt: 7:   What is and is not here
297.    wt: 7:   PS E Multiplication with Polar Coordinates
298.    wt: 7:   PS B Parallelogram Construction Methods
299.    wt: 7:   21 Parallelograms
300.    wt: 7:   18 Triangle Similarity Take 1
301.    wt: 7:   16 Angles Subtended By Chords and Diameters
302.    wt: 7:   14 Parallel Lines Postulate
303.    wt: 7:   6 Ruler and compass Angle Bisection
304.    wt: 7:   3 Isometry of Triangles Congruence
305.    wt: 7:   A Measurement with Ruler Proper Use
306.    wt: 7:   6 Figuring with Maps Not to Scale
307.    wt: 7:   20 Length and Direction of Collinear Vector Sums How to Add Definition
308.    wt: 7:   18 Geometrically Why Vector Addition Commutes
309.    wt: 7:   17 Arrows Rotate to Reverse with Length Unchanged
310.    wt: 7:   16 Collinear Horizontal Arrows Vectors
311.    wt: 7:   11 Signed Number Addition and Addition Properties
312.    wt: 7:   10 Numbers given by Infinite Aperiodic Decimal Expansions
313.    wt: 7:   8 Division and Mulplication of Compound Fractions
314.    wt: 7:   7 Arithmetic with Infinite Decimal Expansions
315.    wt: 7:   5 Fractions with Infinite Decimal Expansions
316.    wt: 7:   4 Location of Point in Decimal Addition
317.    wt: 7:   1 Fractions with Finite Decimal Expansions
318.    wt: 7:   C Three Decimal Subtraction Methods
319.    wt: 7:   8 Column Multiplication Methods in General
320.    wt: 7:   6 Column Methods for Decimal Multiplication
321.    wt: 7:   4 Commutative Law Groups Counting Form
322.    wt: 7:   2 Combing Counts Addition Skills and Principles
323.    wt: 7:   13 Real Number Subtraction
324.    wt: 7:   12 Real Number Additive Inverses or Negatives
325.    wt: 7:   7 Real Numbers as Line Cordinates
326.    wt: 7:   1 Whole and Natural Numbers
327.    wt: 7:   4 Changing Letters
328.    wt: 7:   11 Volume of Sphere
329.    wt: 7:   9 Volume of Cone
330.    wt: 7:   6 Three Notions of What is a Variable
331.    wt: 7:   5 Talking about Numbers and Quantities
332.    wt: 7:   4 A Brief Story of numbers and algebra
333.    wt: 7:   2 What is a Variable
334.    wt: 7:   4 Greater More Less Than Signs in General
335.    wt: 7:   5 Square Roots with primes more still
336.    wt: 7:   4 Square Roots with primes more
337.    wt: 7:   2 Square Roots with Prime
338.    wt: 7:   16 GCD and LCM of 650 225 via Prime
339.    wt: 7:   14 GCD of 650 110 via Primes LCM via Product Rule
340.    wt: 7:   11 GCD 2700 288 via Euclid Algorithm
341.    wt: 7:   10 Euclid Algorithm with 129 125 and with 45 14
342.    wt: 7:   8 GCD from Euclidean Algorithm
343.    wt: 7:   4 LCM of 8 and 10 via Prime
344.    wt: 7:   LCM 60 45 Avoid List Method Use Prime
345.    wt: 7:   4 Counting with Trees Product Rule Take I
346.    wt: 7:   1 Counting and Counting Methods I
347.    wt: 7:   11 What are real lengths and numbers
348.    wt: 7:   6 Simplification of Fractions with Units
349.    wt: 7:   3 Multiplying Units and Numbers
350.    wt: 7:   2 Equality and Units
351.    wt: 7:   20 Dividing Fractions the Why
352.    wt: 7:   12 Fraction Comparison
353.    wt: 7:   9 Improper Fractions and Mixed Numbers
354.    wt: 7:   5 Equivalent Fractions
355.    wt: 7:   4 Fraction Multiplication
356.    wt: 7:   2 Unit Fraction Multiplication
357.    wt: 7:   24 Divisibility Tests for 2 3 5 9 10
358.    wt: 7:   12 LCD GCD and LCM using Primes
359.    wt: 7:   11 Efficient Square Rule Use
360.    wt: 7:   Division with Counts and Length
361.    wt: 7:   12 Why Long Division Works Take III
362.    wt: 7:   11 Another Single Digit Divisor Example
363.    wt: 7:   10 Division by Five Long and Short Ways
364.    wt: 7:   9 Why Long Division Works Take II
365.    wt: 7:   7 Long Divison Mistake Catching
366.    wt: 7:   1 Divsion Physical Examples
367.    wt: 7:   B Powers of Ten
368.    wt: 7:   2 One Digit Multipliers
369.    wt: 7:   8 Review Lesson 1 2 4 and 6 All in One
370.    wt: 7:   1 Place Value in Three Digit Whole Numbers
371.    wt: 7:   Practical Methods Ends and Values for Arithmetic
372.    wt: 7:   015 School and work day counting tables
373.    wt: 7:   014 Counting Days with Calendars
374.    wt: 7:   013 Travel Time Tables
375.    wt: 7:   010 Repeated Addition of Time Intervals
376.    wt: 7:   2 Time and Date Matters in School
377.    wt: 7:   A Related lessons in Volume 3
378.    wt: 7:   26 Chain Rule Recognising outer inner functions
379.    wt: 7:   21 Chain Rule for powers
380.    wt: 7:   20 Chain Rule for Pulley Systems
381.    wt: 7:   10 Power rule for negative integers
382.    wt: 7:   9 Reciprocal rule
383.    wt: 7:   5 Product Rule
384.    wt: 7:   8 Four Animated Examples
385.    wt: 7:   2 Algebraic codification
386.    wt: 7:   .H2 Lipshitz Conditions Integration Calculus Reform
387.    wt: 7:   G.3 Constant Difference Theorem Proof
388.    wt: 7:   F.5a Equicontinuity Theorems
389.    wt: 7:   F.1 What Functions are Continuous
390.    wt: 7:   E2 Algebraic Properties of Limits
391.    wt: 7:   D1 Sets and Sequences GLBs and LGBs
392.    wt: 7:   C Triangle Inequalities
393.    wt: 7:   A1. Introduction
394.    wt: 7:   Appendix E. How To Study Mathematics and Why
395.    wt: 7:   Chapter 31 Direct and Indirect Reason
396.    wt: 7:   Chapter 29 Contrapositive and Vacuously True Implications
397.    wt: 7:   Chapter 25. Mathematical Induction Examples
398.    wt: 7:   Chapter 25. Mathematical Induction Examples
399.    wt: 7:   Chapter 10 Describing and Changing Calculations
400.    wt: 7:   Chapter 3 Chains of Reason
401.    wt: 7:   Chapter 6 Rule Based Reason in Mathematics
402.    wt: 7:   Chapter 3 Algebra Difficulties
403.    wt: 7:   Postscript B More on Story Telling and Reason
404.    wt: 7:   Chapter 21 Occurrence Tables
405.    wt: 7:   Chapter 18 Sense and Knowledge
406.    wt: 7:   Chapter 1 Introduction
407.    wt: 7:   V Reasons and Motivations for Logic and Mathematics
408.    wt: 7:   Helping the Blind in Logic and Mathematics
409.    wt: 7:   Multiple Ways to Improve Mathematics Skill Development
410.    wt: 7:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
411.    wt: 7:   Montreal Basic and Advanced Mathematics Tutoring
412.    wt: 6:   why bother
413.    wt: 6:   which way to go
414.    wt: 6:   three goals to set for students
415.    wt: 6:   activities for students
416.    wt: 6:   links Education Resources online
417.    wt: 6:   site eurekas
418.    wt: 6:   key notes and themes
419.    wt: 6:   Postscript 2007 01 10
420.    wt: 6:   teaching tips
421.    wt: 6:   What to Tell Students
422.    wt: 6:   02 21 words for teachers
423.    wt: 6:   Theory of Knowledge
424.    wt: 6:   cultivating intelligence
425.    wt: 6:   How to be a better instructor
426.    wt: 6:   chapitre 07 01 principle D induction mathematique
427.    wt: 6:   chapitre 04 10 Etapes pour une meilleur raison
428.    wt: 6:   chapitre 04 04 Parlons de la logique
429.    wt: 6:   chapitre 02 00 La Communication des idees
430.    wt: 6:   25 Mathematics Education Leaving A Good Impression
431.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take IV
432.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take III
433.    wt: 6:   23 Modularized Skill Development Modularized Rigor Take II
434.    wt: 6:   Ages 12 to 14 Arithmetic
435.    wt: 6:   Ages 10 to 12 Arithmetic
436.    wt: 6:   11 Function Domain Range Source and Targets
437.    wt: 6:   4 Function notation in and beyond mathematics
438.    wt: 6:   3 Formula or function graphing exercise
439.    wt: 6:   5 Polynomials Long division Nonlinear divisor
440.    wt: 6:   4 Polynomials Long division linear divisor
441.    wt: 6:   1 Polynomials Distributive Law
442.    wt: 6:   14 secant function Definition Graph and Inverse
443.    wt: 6:   12 motivation for term arctan
444.    wt: 6:   10 arctan left inverse of tangent Definition
445.    wt: 6:   9 motivation for name arcsin
446.    wt: 6:   8 arcsin left inverse of sine Graph
447.    wt: 6:   5 Swapping Coordinates is a reflection
448.    wt: 6:   3 Left Inverse of cosine arccos definition
449.    wt: 6:   13 Velocity Vectors in Physics
450.    wt: 6:   8 Parallel Vectors
451.    wt: 6:   4 Resultant of a Sum of Movements
452.    wt: 6:   Vector and Complex Number Applet
453.    wt: 6:   27 Logarithmic use of products of sines and cosines
454.    wt: 6:   26 Formulas for products of sines and cosines
455.    wt: 6:   24 tangent Angle Difference Formula
456.    wt: 6:   23 sine and cosine of 180 plus 22.5 degrees
457.    wt: 6:   16 Right Triangle Complementary Angle Relations
458.    wt: 6:   13 Graph of tangent function many periods
459.    wt: 6:   9 Graphs of sine and cosine over one period
460.    wt: 6:   5 sines and cosines for reference angle 60 degrees
461.    wt: 6:   4 sines and cosines for reference angle 45 degrees
462.    wt: 6:   13 Trig Formulas for dot and cross Products
463.    wt: 6:   1 Rectangular Polar Coordinates Review
464.    wt: 6:   2 Similar Triangles Equality of Corresponding Side Ratios
465.    wt: 6:   12 Triangles Similarity More Problems
466.    wt: 6:   11 Triangle Similarity Missing Side Problem
467.    wt: 6:   4 Similarity Definition with Coordinate
468.    wt: 6:   8 Mid Point Formula
469.    wt: 6:   6 Intersection of lines by solving linear systems
470.    wt: 6:   4 Equations for lines three forms
471.    wt: 6:   Euclidean Geometry Elsewhere LINKS
472.    wt: 6:   PS G Rotation Distributes over Addition
473.    wt: 6:   PS C Similarity Use Recognize it in Trigonometry
474.    wt: 6:   19 Right Triangle Similarity
475.    wt: 6:   15 Triangle Angle Sum is 180 degrees
476.    wt: 6:   12 Side Angle Side Failure
477.    wt: 6:   11 Triangle Construction Fails
478.    wt: 6:   10 Dropping a perpendicular to line
479.    wt: 6:   7 Angle Side Angle
480.    wt: 6:   1 Initial Concepts and Terms
481.    wt: 6:   1 Length Measurement
482.    wt: 6:   A Signed Number Arithmetic Review
483.    wt: 6:   24 Signed Numbers Arithmmetic Properties
484.    wt: 6:   22 Multiplication of Signed Numbers
485.    wt: 6:   21 Addition of Multiples of a Single Vector
486.    wt: 6:   12 Real Numbers Line Signed Coordinates
487.    wt: 6:   9 Division with Digits after Decimal Point
488.    wt: 6:   6 Infinite Decimals Ending in 9 repeating
489.    wt: 6:   2 Counting Digits in Decimal Multiplication
490.    wt: 6:   5 Distributive Law for Whole Numbers
491.    wt: 6:   16 Real Numbers Comparison
492.    wt: 6:   14 Real Number Multiplication
493.    wt: 6:   11 Real Number Addition
494.    wt: 6:   10 Real Number Lengths and Signs
495.    wt: 6:   9 Coordinates for Regions in Space
496.    wt: 6:   5 Rational Numbers More
497.    wt: 6:   4 Rational Numbers
498.    wt: 6:   3 Fractions
499.    wt: 6:   More Exercises
500.    wt: 6:   Simple Exercises
501.    wt: 6:   9 Sets in Probability and Statistics
502.    wt: 6:   3 Adding Words To Arithmetic
503.    wt: 6:   arithmetic videos Real Player Format
504.    wt: 6:   2 More and Less Than with Unlike Signs
505.    wt: 6:   5 Common Divisors 60 45 via Prime
506.    wt: 6:   12 GCD 2700 288 via Prime
507.    wt: 6:   7 negative and additive inverse
508.    wt: 6:   2 signed and unsigned numbers as coordinates
509.    wt: 6:   7 Converting or Changing Units
510.    wt: 6:   4 Fractions with Units
511.    wt: 6:   D Three Term Ratios
512.    wt: 6:   22 Complex Compound Fractions
513.    wt: 6:   19 Dividing Fractions How TO
514.    wt: 6:   18 Efficient Ways to Multiply
515.    wt: 6:   13 Subtraction with Additive Inverse
516.    wt: 6:   11 Adding Integers Formulas and Examples
517.    wt: 6:   3 Adding Movements with same direction
518.    wt: 6:   8 Correcting the Mistake
519.    wt: 6:   Exact Arithmetic Wholes and Fractions
520.    wt: 6:   Formula Evaluation how to show work
521.    wt: 6:   Expression Evaluation how to show work
522.    wt: 6:   012 Division of Time Intervals by Time Intervals
523.    wt: 6:   7 Addition of Time Intervals
524.    wt: 6:   4 Mixing and Changing Units of Time
525.    wt: 6:   3 Units and Lengths of Time
526.    wt: 6:   1 Intro of Kids To Time Date Skills
527.    wt: 6:   4 Definite Integrals Evaluation Exercises
528.    wt: 6:   4 Second derivative test exercise example
529.    wt: 6:   3 Second derivative test
530.    wt: 6:   2 Second derivative test prequel
531.    wt: 6:   1 Two cubic sketching exercises with 1st derivative
532.    wt: 6:   11 Quotient rule
533.    wt: 6:   6 Power rule from product rule
534.    wt: 6:   4 Sum Rule
535.    wt: 6:   11 Limits at infinity Three Examples
536.    wt: 6:   6 Continuity at a point
537.    wt: 6:   5 Jumps and absence of unlimited error control
538.    wt: 6:   4 Numerical properties
539.    wt: 6:   3 Decimal insights for limits continuity convergence
540.    wt: 6:   1 Numerical introduction
541.    wt: 6:   G.6 Bounded Derivatives implies Lipshitz Continuity
542.    wt: 6:   G.1 Differentiable Functions Rolles Theorem
543.    wt: 6:   F.5b Extreme Value Theorem
544.    wt: 6:   F.2 Closed Range Theorem
545.    wt: 6:   E1 Error Control Inequalities
546.    wt: 6:   B1 Pigeon Hole Principles from combinatorics
547.    wt: 6:   Appendix D. What to do in School and Why
548.    wt: 6:   Appendix A. Reading Guide For Next Appendices
549.    wt: 6:   Chapter 30 Truth Tables
550.    wt: 6:   Chapter 26 What is in chapters 27 to 31
551.    wt: 6:   Chapter 23. Notation For Sums
552.    wt: 6:   Chapter 20. Degrees and Radians
553.    wt: 6:   Chapter 17. Pythagorean Theorem Chinese Square Proof
554.    wt: 6:   Postscript Unifying Theme A Fourth Skill For Algebra
555.    wt: 6:   Chapter 13. Second Reading Guide
556.    wt: 6:   Postscript What is a Variable
557.    wt: 6:   Chapter 9 Talking about Numbers or Quantities
558.    wt: 6:   Chapter 6 Change of Language
559.    wt: 6:   Annotated Links to Material Elsehwere
560.    wt: 6:   Chapter 4 Complex Numbers and Why Slopes
561.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
562.    wt: 6:   Postscript A Story Telling
563.    wt: 6:   Chapter 15 Objective Processes
564.    wt: 6:   Chapter 10 Responsibility
565.    wt: 6:   Chapter 5 Deception
566.    wt: 6:   Chapter 2 Skill Development
567.    wt: 6:   Three Remarks
568.    wt: 6:   Ends Values Methods For Skill Development Framework Prequel
569.    wt: 6:   Implementation Notes
570.    wt: 5:   website reviews
571.    wt: 5:   site origins
572.    wt: 5:   three difficulties
573.    wt: 5:   chapitre 04 09 Regles accidentelles
574.    wt: 5:   chapitre 04 08 Limitations et benefices
575.    wt: 5:   chapitre 04 07 RepetablesEtReproductibles
576.    wt: 5:   chapitre 04 06 engagements
577.    wt: 5:   chapitre 04 05 Implication versus suggestion
578.    wt: 5:   chapitre 04 03 Unidirectionnel versus bidirectionnel
579.    wt: 5:   chapitre 04 00 Les regles d implication
580.    wt: 5:   chapitre 01 00 Introduction
581.    wt: 5:   A Wire Resistance Qualitative01
582.    wt: 5:   27 Graduated Correction and Penalties for Young Offenders
583.    wt: 5:   23 Modularized Skill Development Modularized Rigor
584.    wt: 5:   12 Goals and Objectives For Mathematics
585.    wt: 5:   5 Patience Please for Yourself and Your Charges
586.    wt: 5:   Ages 12 to 14 Geometry
587.    wt: 5:   Ages 10 to 12 Geometry
588.    wt: 5:   Ages 9 to 10
589.    wt: 5:   Ages 8 to 9
590.    wt: 5:   Ages 7 to 8
591.    wt: 5:   Ages 6 to 7
592.    wt: 5:   Ages 4 plus to 5 plus
593.    wt: 5:   22 Square Root function graphically
594.    wt: 5:   20 Interchanging coordinates a reflection
595.    wt: 5:   16 Increasing or decreasing on intervals
596.    wt: 5:   13 From one to one to many to one
597.    wt: 5:   6 Set Existence Formation and Notation
598.    wt: 5:   5 Function notation for geometric transformations
599.    wt: 5:   2 Algebraic use of function notation
600.    wt: 5:   2 Column Multiplication Method
601.    wt: 5:   Rewriting algebraic substitution as function substitutions
602.    wt: 5:   7 arcsin left inverse of sine Definition
603.    wt: 5:   6 Graph of arccos function
604.    wt: 5:   4 possible motivation for term arccos
605.    wt: 5:   15 Dot and Cross Product
606.    wt: 5:   6 Vectors with Coordinates
607.    wt: 5:   2 Signed Coordinates
608.    wt: 5:   1 Unsigned Coordinates
609.    wt: 5:   17 tangent function angle sum formulas
610.    wt: 5:   30 unit circle calculation of six trigonometric functions
611.    wt: 5:   28 Expressing products of sines cosines as sums
612.    wt: 5:   25 tangent double angle formula Slope connection
613.    wt: 5:   11 tangent function undefined when terminal side vertical
614.    wt: 5:   7 period of sine and cosine
615.    wt: 5:   2 Quadrant I reference Angles
616.    wt: 5:   21 Logarithms Powers and Exponentials
617.    wt: 5:   7 Second Way to Calculate Products
618.    wt: 5:   5 An Easy Proof of the Distributive Law
619.    wt: 5:   3 Addition Properties
620.    wt: 5:   Appetizer A Complex Number Applet
621.    wt: 5:   8 Triangles Cascade Problem Solving
622.    wt: 5:   6 Trigonometry Sines of Supplementary Angles
623.    wt: 5:   4 Trigonometric Ratios For Two Special Triangles
624.    wt: 5:   Why Trigonometry the whyslopes view
625.    wt: 5:   2 Similarity By Design
626.    wt: 5:   Four Simple Exercises
627.    wt: 5:   12 Links Lessons elsewhere
628.    wt: 5:   PS H Distributive Law For Complex Numbers
629.    wt: 5:   PS A Kite Construction Methods
630.    wt: 5:   17 Right Bisectors of Triangle Sides
631.    wt: 5:   9 Construction of a right bisector
632.    wt: 5:   8 Isoceles Triangles
633.    wt: 5:   5 Side Angle Side
634.    wt: 5:   2 Correspondence between Triangles
635.    wt: 5:   Short Course on Euclidean Geometry
636.    wt: 5:   musings do not puiblish real numbers
637.    wt: 5:   E Long Division Methods more
638.    wt: 5:   D Long Division Methods
639.    wt: 5:   1 The Counting Origins of Numbers
640.    wt: 5:   15 Real Number Division
641.    wt: 5:   6 Unsigned Real Numbers
642.    wt: 5:   7 Cautious or Safe Set Construction
643.    wt: 5:   3 Counting with Sets etc
644.    wt: 5:   2 Venn Diagrams
645.    wt: 5:   1 Three Skills For Algebra
646.    wt: 5:   6 GCD from Prime
647.    wt: 5:   4 signed coordinates for regions in space
648.    wt: 5:   21 Working With Signs
649.    wt: 5:   D Remainders Modulo 11 Pair Rule
650.    wt: 5:   6 Multiplication by Natural Numbers
651.    wt: 5:   5 Long Division Include Zeroes or not
652.    wt: 5:   4 Division with 2 Digit Divsors
653.    wt: 5:   2 Division with Single Digit Divisors
654.    wt: 5:   Quick history of numbers and algebra
655.    wt: 5:   011 Division of Time Intervals By Numbers
656.    wt: 5:   6 How long is a million seconds
657.    wt: 5:   5 Conversion Arithmetic
658.    wt: 5:   5 Area Under Curve Exercise
659.    wt: 5:   3 Two Chain Rule Method Exercises
660.    wt: 5:   1 Chain Rule in Reverse Integration Method
661.    wt: 5:   10 Three one sided limits with infinite values
662.    wt: 5:   9 Limits Continuity and Composition
663.    wt: 5:   G.5 Motions With Bounded Velocities
664.    wt: 5:   G.4 Lipschitz Continuity implies EquiContinuity
665.    wt: 5:   F.4 Finite Covering Theorem
666.    wt: 5:   D2 Limits of Monotone Sequences
667.    wt: 5:   index
668.    wt: 5:   Appendix C. How to Read
669.    wt: 5:   Chapter 27 Shorthand Symbols as Pronouns
670.    wt: 5:   Chapter 24. Personal Investment and Pension EGS
671.    wt: 5:   Chapter 18. Rules for Algebra
672.    wt: 5:   Chapter 15. Solving Linear Equations
673.    wt: 5:   Chapter 12. Shorthand Usage Guide
674.    wt: 5:   Chapter 11. Why Shorthand
675.    wt: 5:   Chapter 8 Three Skills For Algebra
676.    wt: 5:   Chapter 7 Prep for Calculus Arithmetic Exercises
677.    wt: 5:   Chapter 5 Islands and Divisions of Knowledge
678.    wt: 5:   Chapter 4 Longer Chains of Reason
679.    wt: 5:   Chapter 1 Introduction to Chapters 2 to 6
680.    wt: 5:   Postscript B Mathematics Education References
681.    wt: 5:   Postscript A Three Remarks
682.    wt: 5:   Foreword
683.    wt: 5:   R Why Learn Mathematics Skills
684.    wt: 5:   P Exact Arithmetic With Whole Numbers and Fractions
685.    wt: 5:   O On Learning Mathematics and Science
686.    wt: 5:   Which Way To Go
687.    wt: 4:   chapitre 12 00 les iles et division
688.    wt: 4:   chapitre 05 00 Deception
689.    wt: 4:   chapitre 04 02 Deuxieme enigme
690.    wt: 4:   chapitre 04 01 Premiere enigme
691.    wt: 4:   problemes algebre et arithmetique
692.    wt: 4:   Trois Notions qui menent a algebre
693.    wt: 4:   deux definitions pour variable
694.    wt: 4:   E Wire Resistance Calculation03
695.    wt: 4:   24 Standards For Skill Develoment Take II
696.    wt: 4:   19 Extending the Oral Dimension of Mathematics
697.    wt: 4:   18 Primary School Mathematics
698.    wt: 4:   17 Math Booklets for children and young teenagers
699.    wt: 4:   16 Secondary Mathematics Tips
700.    wt: 4:   14 Multiplication and Times Tables
701.    wt: 4:   4 Learning Takes Time and Effort
702.    wt: 4:   3 Preparing for Science Studies
703.    wt: 4:   23 Inverse Functions
704.    wt: 4:   21 Graphs of functions given by Horizontal Line Method
705.    wt: 4:   19 Horizontal line rule and method
706.    wt: 4:   18 Vertical Line Rule and Method
707.    wt: 4:   15 Sign analysis of functions
708.    wt: 4:   10 Interval Notation
709.    wt: 4:   8 Set view of relations and functions
710.    wt: 4:   1 Geometric Introduction of Function Notation
711.    wt: 4:   Introduction Reading Guide
712.    wt: 4:   8 Notes for instructors or tutors
713.    wt: 4:   7 Links Lessons Elsewhere
714.    wt: 4:   2 cosine function more properties
715.    wt: 4:   1 cosine function properties
716.    wt: 4:   11 Component Method
717.    wt: 4:   17G Pythagorean Theorem Converse
718.    wt: 4:   17F Law of cosines
719.    wt: 4:   17E Trig Formulas for dot and cross Products
720.    wt: 4:   17A The complex number valued trig function cis
721.    wt: 4:   12 Graph of tangent function for one period
722.    wt: 4:   Right Triangle and Unit Circle Trigonometry
723.    wt: 4:   16 References and Originality Question
724.    wt: 4:   15 Pythagorean Theorem Converse
725.    wt: 4:   14 Law of cosines
726.    wt: 4:   2 Complex Numbers made easier we hope
727.    wt: 4:   1 Angle Measurement with Degrees
728.    wt: 4:   Right Triangle and Unit Circle Trigonometry
729.    wt: 4:   4 Side Side Side
730.    wt: 4:   19 Signed Multiples of Vectors
731.    wt: 4:   2 Integers
732.    wt: 4:   10 Set View of Wordy Extensions To Arithmetic
733.    wt: 4:   6 Power Set Notation
734.    wt: 4:   5 Product Builder Notation
735.    wt: 4:   4 Subset Builder Notation
736.    wt: 4:   About Folder Contents
737.    wt: 4:   9 subtracting signed numbers
738.    wt: 4:   6 adding signed numbers
739.    wt: 4:   5 lengths and signs of numbers
740.    wt: 4:   12 Adding Integers More Examples
741.    wt: 4:   10 Integer Multiplication Formulas
742.    wt: 4:   5 Zero Movement and Additive Inverses
743.    wt: 4:   1 Integers as Coordinates
744.    wt: 4:   The 12 Times Table Visually
745.    wt: 4:   2 Indefinite Integrals Exercises
746.    wt: 4:   Appendix B. How To Learn
747.    wt: 4:   Chapter 28 Occurrence Tables
748.    wt: 4:   Chapter 22. Geometric Sums and Sequences
749.    wt: 4:   Chapter 21. Third Reading Guide
750.    wt: 4:   Chapter 19. Functions and Sets
751.    wt: 4:   Chapter 16. Painless Theorem Proving
752.    wt: 4:   Chapter 12 Four Phases
753.    wt: 4:   Chapter 11 Elementary Instruction
754.    wt: 4:   Chapter 10 Transition
755.    wt: 4:   Chapter 7 Two Treatments of Geometry
756.    wt: 4:   Chapter 1 Introduction
757.    wt: 4:   S Adding words to algebra
758.    wt: 4:   N Mathematics Prepare for College Studies
759.    wt: 4:   N Improving Marks on Tests and Finals
760.    wt: 4:   I. Logic and language skills
761.    wt: 4:   D. Check work a must with a caution
762.    wt: 3:   liens
763.    wt: 3:   2 Conductance Resistance Duality02
764.    wt: 3:   1 Conductance Resistance Duality01
765.    wt: 3:   F Wire Resistance Calculation04
766.    wt: 3:   D Wire Resistance Calculation02
767.    wt: 3:   C Wire Resistance Calculation01
768.    wt: 3:   B Wire Resistance Qualitative02
769.    wt: 3:   3 Like resistors in parallel
770.    wt: 3:   24 Standards For Skill Develoment
771.    wt: 3:   22 Student Centered Highschool Mathematics
772.    wt: 3:   11 Help and Defend Your Child or Teens Education
773.    wt: 3:   9 Streaming by Student Cooperation
774.    wt: 3:   8 The Effect of Negative Remarks
775.    wt: 3:   6 Discipline Who is in Charge Conserving Authority
776.    wt: 3:   2 Reading and Writing Skills
777.    wt: 3:   26 Function definitions done and coming
778.    wt: 3:   24 Monotoncity Injectivity and Inverse Functions
779.    wt: 3:   12 Function Domain Recognition Exercises
780.    wt: 3:   9 Set theory term relation possible origins
781.    wt: 3:   7 Functions with finite domains
782.    wt: 3:   8 period of tangent function
783.    wt: 3:   1 Unit Points Reflections Rotations
784.    wt: 3:   9 The complex number valued trig function cis
785.    wt: 3:   4 Multiplication Properties
786.    wt: 3:   7 Trignometric Ratios Unit Circle
787.    wt: 3:   About Folder Contents
788.    wt: 3:   8 Sets of Numbers
789.    wt: 3:   1 Finite Sets
790.    wt: 3:   10 dividing signed numbers
791.    wt: 3:   8 multiplying signed numbers
792.    wt: 3:   8 Multiplication by Signed Numbers Integers
793.    wt: 3:   7 Multiplication by Signs
794.    wt: 3:   4 Adding Movements wiht opposite directions
795.    wt: 3:   2 Integers Multiplies of a Unit Moverment
796.    wt: 3:   The 20 Times Table
797.    wt: 3:   About folder contents
798.    wt: 3:   Postscript More on Better Performance
799.    wt: 3:   Postscript For Better Performance
800.    wt: 3:   Solutions For Arithmetic Exercises
801.    wt: 3:   Chapter 9 The Two Ends
802.    wt: 3:   Chapter 8 Modern Instruction
803.    wt: 3:   Chapter 5 Four References
804.    wt: 3:   Q How Logic and Proofs extend Show Work Practices
805.    wt: 3:   M Words to extend arithmetic
806.    wt: 3:   L Skills with take home value
807.    wt: 3:   H Jigsaw puzzles and problem solving
808.    wt: 3:   G. Written work formats for developing and showing skill
809.    wt: 3:   F. The student teacher tutor feedback loop
810.    wt: 3:   C. Domino effect of being careful
811.    wt: 3:   A. Skill has to be seen to believed
812.    wt: 2:   problemes responses
813.    wt: 2:   logique deux enigme
814.    wt: 2:   3 Energy Power Heat08
815.    wt: 2:   C Energy Power03
816.    wt: 2:   2 Unlike resistors in parallel01
817.    wt: 2:   B Electromotive force conventional current01
818.    wt: 2:   Home Tutoring and Home Schooling
819.    wt: 2:   15 Counting For Parents
820.    wt: 2:   10 Ends values for work study instruction
821.    wt: 2:   7 Student Motivation
822.    wt: 2:   1 Speaking Skills
823.    wt: 2:   14 Surjections Injections Bijections
824.    wt: 2:   Unit Circle Development of Trigonometry
825.    wt: 2:   20 N th Roots of Complex Numbers
826.    wt: 2:   19 N th Roots of Unity
827.    wt: 2:   18 Sixth Roots of Unity
828.    wt: 2:   17 Cube Roots of unity
829.    wt: 2:   8 Unit Circle Development of Trigonometry
830.    wt: 2:   6 Field Properties of Complex Number
831.    wt: 2:   C Divisibility by 11 Integer Recognition Method
832.    wt: 2:   B Integer Long Division Multiple Choices
833.    wt: 2:   9 Multiplying Integers
834.    wt: 2:   Foreword
835.    wt: 2:   Foreword
836.    wt: 2:   1 Links to Online Resources Elsewhere Take 1
837.    wt: 2:   J. More on written work and showing skill
838.    wt: 2:   E. When and how to correct errors
839.    wt: 2:   How to Build Skills and Confidence
840.    wt: 2:   Road Safety Questions
841.    wt: 1:   4 Energy Power Heat09
842.    wt: 1:   2 Energy Power Heat07
843.    wt: 1:   1 Energy Power Heat06
844.    wt: 1:   A Energy Power01
845.    wt: 1:   E Kirchoffs Second Law
846.    wt: 1:   D Kirchoff First Law
847.    wt: 1:   C Electromotive force conventional current02
848.    wt: 1:   A Circuit Elements
849.    wt: 1:   H more Routine to non routine problem solving
850.    wt: 1:   B. Domino effect of errors
851.    wt: 17:   13 Pythagorean spatial distance formulas
852.    wt: 16:   3 Gaussian Elimination 3 unknowns first example
853.    wt: 15:   Parallel Lines and Parallel Transversals
854.    wt: 15:   Parallel Lines and Alternating Corresponding Angles
855.    wt: 15:   5 Cartesian Addition and Translation
856.    wt: 15:   3 GE III Equation Addition and Multiplication
857.    wt: 15:   3 Harder Cases Convert to Compare and Subtract
858.    wt: 14:   Ramblings Introduction Algebra Essay
859.    wt: 14:   3 Natural Logarithms and Exponentials Basic Properties
860.    wt: 14:   10 Pythagorean plane distance formula
861.    wt: 14:   3 Rectangular Coordinates Review
862.    wt: 14:   5 Gaussian Elimination for 3 unknowns 2nd example
863.    wt: 14:   3 Solving triangular system example
864.    wt: 14:   3. How to add with decimals A sans conversions
865.    wt: 14:   Chapter 19. Exponentials and Natural Logarithms
866.    wt: 13:   Appendix 1 primary and preschool mathematic
867.    wt: 13:   C LAMP Introduction Culture in Mathematics Education
868.    wt: 13:   Skills Chapter 3 Algebra
869.    wt: 13:   8 quadratics backward use of various formulas
870.    wt: 13:   3 Circle Arclengh Proportional to Central Angle
871.    wt: 13:   Proportionality of Line Segments From Parallel Transversals
872.    wt: 13:   34 sines and cosines of 2A 3A 4A 5A
873.    wt: 13:   33 sines and cosines of 2A 3A 4A 5A
874.    wt: 13:   6 Polar Multiplication and Rotation
875.    wt: 13:   1 Cartesian Coordinates sans signs
876.    wt: 13:   3 Two Examples
877.    wt: 13:   3 Triangle Area Formula Example
878.    wt: 13:   2 Another Rectangle Area Formula Example
879.    wt: 13:   1 Comparison and Subtraction Easy Direct Cases
880.    wt: 13:   Example 1. Area Between x and x squared
881.    wt: 13:   Chapter 18. Slopes Areas Integration
882.    wt: 13:   Chapter 17. Area Approximation
883.    wt: 13:   Chapter 15. Algebraic Evaluation of Limits
884.    wt: 13:   Chapter 14 Limits and Continuity with and sans Decimals
885.    wt: 13:   Chapter 13. Acceleration
886.    wt: 13:   Chapter 3. Slope Sign Analysis
887.    wt: 13:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
888.    wt: 12:   E LAMP Introduction Modern Mathematics
889.    wt: 12:   B LAMP Introduction Curriculum Development Standards
890.    wt: 12:   sign monoticity analysis example 3
891.    wt: 12:   6 quadratics numerical approach
892.    wt: 12:   9 Summary Degrees to Radians and back
893.    wt: 12:   7 Radian Measures in special Triangles
894.    wt: 12:   4 Circle Sector Area proportional to Central Angle
895.    wt: 12:   2 Radian Measure Numerical Value of one degree
896.    wt: 12:   Parallel Lines and Interior Angles
897.    wt: 12:   3 Straight Lines Slope as Tangent of Inclination Angle
898.    wt: 12:   35 sines and cosines of 2A 3A 4A 5A
899.    wt: 12:   13 Navigation Location from Angles to 2 Landmarks
900.    wt: 12:   12 Spatial Coordinates
901.    wt: 12:   9 Pythagorean Theorem Chinese Square Proof
902.    wt: 12:   4 Polar Coordinates to and from
903.    wt: 12:   2 Cartesian Coordinates with signs
904.    wt: 12:   3 Lengths and Areas on Maps and Plans
905.    wt: 12:   3 Inequalities Algebraically
906.    wt: 12:   1 Decimals Modular and Remainder Arithmetic
907.    wt: 12:   4 Rates Ratios and Proporitionality
908.    wt: 12:   3 Proportionality Examples
909.    wt: 12:   9 Circle Area and Perimeter Formula Backwards Forwards
910.    wt: 12:   4 Rectangle Area and Like Formulas Backwards
911.    wt: 12:   2 More and Less Than for Counts and Measures
912.    wt: 12:   4 GE III Animated Examples
913.    wt: 12:   4 Solving a triangular system exercise
914.    wt: 12:   6 Pythagorean Hypotenuse Calculation Example
915.    wt: 12:   A Decimals Modular and Remainder Arithmetic
916.    wt: 12:   Long Division forwards and backwards Example 3
917.    wt: 12:   Video Decimal Multiplication Geometric View Example 2
918.    wt: 12:   Appendix 1 Decimals Comparison Method Take II
919.    wt: 12:   Subtraction Another Video Lesson
920.    wt: 12:   2 Subtraction Easy Case Examples
921.    wt: 12:   7 Adding decimal fractions using decimal point
922.    wt: 12:   11 Place Value SI Standard International way
923.    wt: 12:   33 Chain Rule Real Player video examples
924.    wt: 12:   Chapter 24 Logarithms Powers and Exponentials
925.    wt: 12:   Chapter 6. Slopes and Vertical Shifts
926.    wt: 12:   Chapter 2. Slopes and Ski Trails
927.    wt: 12:   Fall 1983 Calculus Appetizer
928.    wt: 12:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
929.    wt: 11:   Appendix 2 primary school Arithmetic 01
930.    wt: 11:   I LAMP Introduction Study Habits
931.    wt: 11:   H LAMP Introduction Instructional Concepts
932.    wt: 11:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
933.    wt: 11:   A Quadratics Summary
934.    wt: 11:   9 quadratics physical and further context
935.    wt: 11:   7 quadratic formulla derivation
936.    wt: 11:   3 quadratics factoring by inspection
937.    wt: 11:   2 quadratics graphing in general
938.    wt: 11:   5 Natural Logarithm Calculator Exercises
939.    wt: 11:   8 Radian Measures of Common Angles
940.    wt: 11:   1 Degrees and Radians Introduction
941.    wt: 11:   2 Graphing y=Af(x) Vertical Scaling
942.    wt: 11:   Construction Methods and Criteria for Isometric and Similar Triangles
943.    wt: 11:   14 Straight Lines Equations General Case
944.    wt: 11:   11 Triangle Inequality
945.    wt: 11:   8 Distance Between Points on a Line
946.    wt: 11:   4 Fraction Operations Axiomatic Development
947.    wt: 11:   5 Proportionality in Equivalent Fractions
948.    wt: 11:   8 Pythagorean Relation Forwards Backwards
949.    wt: 11:   5 Triangle Area Formula Backwards
950.    wt: 11:   2 Addition and Multiplication Axioms
951.    wt: 11:   5 Greater More Less Than Signs in General
952.    wt: 11:   3 More and Less Than with Unlike Signs
953.    wt: 11:   6 Algebraic Solution Example
954.    wt: 11:   5 Algebraic Solutions Introduction
955.    wt: 11:   4 Four Examples Fractional Coefficients
956.    wt: 11:   3 Four Examples
957.    wt: 11:   10 One Example
958.    wt: 11:   9 Three Examples
959.    wt: 11:   8 One Example
960.    wt: 11:   7 Two Examples
961.    wt: 11:   6 Three Examples
962.    wt: 11:   5 Three Examples
963.    wt: 11:   4 Two Examples
964.    wt: 11:   2 Three Examples
965.    wt: 11:   4 Circle Area Formula Example
966.    wt: 11:   C Equality for Fractions and Two Term Ratios and Fractions
967.    wt: 11:   8 Numerals Fractionals Quantals Take II
968.    wt: 11:   13 Remainder Arithmetic Modulo 5 Example
969.    wt: 11:   10 video Prime Factorization upto 23 squared
970.    wt: 11:   7 Calculator Usage Notes and Cautions
971.    wt: 11:   5 Prime Factorization and a Square Rule
972.    wt: 11:   3 video Primes and Composites from 9 times table
973.    wt: 11:   Long Division forwards and backwards Example 2
974.    wt: 11:   Long Division forwards and backwards Example 1
975.    wt: 11:   A Elementary Basis for Multiplication Methods
976.    wt: 11:   Video Decimal Multiplication Geometric View Example 2
977.    wt: 11:   Video Power Notation in Decimal Expansion
978.    wt: 11:   Appendix 2 Three Decimal Subtraction Methods
979.    wt: 11:   Subtraction with J Conversions Example
980.    wt: 11:   7 Subtraction for Decimal Fractions with Exercises
981.    wt: 11:   8 What skills and work habits to require
982.    wt: 11:   6. Counting and adding units and mixed units
983.    wt: 11:   5. How to add decimals C. Examples
984.    wt: 11:   1. Explaining Addition Table
985.    wt: 11:   Example 1 volume of a pyramid
986.    wt: 11:   Area Between Crossing Curves Lesson Take 2
987.    wt: 11:   Area Between Crossing Curves Lesson Take 1
988.    wt: 11:   Example 3
989.    wt: 11:   Area Between Curves Lesson Take 2
990.    wt: 11:   Area Between Curves Lesson Take 1
991.    wt: 11:   A Chain Rule Real Player video examples
992.    wt: 11:   38 Formulas and derivatives for powers and roots
993.    wt: 11:   16 Derivatives of reciprocals of sine and cosine
994.    wt: 11:   15 sine and cosine derivatives 3rd step
995.    wt: 11:   13 sine and cosine derivatives 1st step
996.    wt: 11:   1 Fall 1983 Why Slopes Appetizer
997.    wt: 11:   Postscript Pythagorean Theorem yet another proof
998.    wt: 11:   Chapter 23 Links To Trigonometry
999.    wt: 11:   Chapter 21 Arrow Addition
1000.    wt: 11:   Chapter 16. Velocity Approximation
1001.    wt: 11:   Chapter 15. Slope Approximation
1002.    wt: 11:   Chapter 12. Units and Slopes
1003.    wt: 11:   Chapter 10 Slopes and Units
1004.    wt: 11:   Chapter 9 About First Courses in Calculus
1005.    wt: 11:   Chapter 7 Slopes and Velocity
1006.    wt: 11:   Chapter 4. More Slope Sign Analysis
1007.    wt: 11:   Chapter 4 Implication Rules Forwards and Backwards
1008.    wt: 10:   K LAMP Musings Science Education
1009.    wt: 10:   J LAMP Introduction Extrinsic Origins
1010.    wt: 10:   G LAMP Introduction Problem Solving Skills
1011.    wt: 10:   F LAMP Introduction Prerequisites
1012.    wt: 10:   A Introduction Objectives
1013.    wt: 10:   Skills Chapter 5 Calculus
1014.    wt: 10:   Ramblings Extrinsic numbers theory
1015.    wt: 10:   Skills Chapter 1 Arithmetic
1016.    wt: 10:   Skills Chapter 0 Introduction
1017.    wt: 10:   7 logic review and decimals an odd combination
1018.    wt: 10:   5 logarithms and exponentials etc
1019.    wt: 10:   3 Euclidean Geometry Leanly
1020.    wt: 10:   Applied Maths Program14092009 POMME variant
1021.    wt: 10:   teaching tutoring algebraic reason
1022.    wt: 10:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
1023.    wt: 10:   sign monoticity analysis example 4
1024.    wt: 10:   sign monoticity analysis example 2
1025.    wt: 10:   sign monoticity analysis example 1
1026.    wt: 10:   5 quadratics completing the square
1027.    wt: 10:   4 quadratics difference of two squares
1028.    wt: 10:   1 quadratics graphing exercises
1029.    wt: 10:   8 Formulas for Fractional Exponents with Logarithms
1030.    wt: 10:   6 Radian Measure to Degrees
1031.    wt: 10:   5 Degrees to Radian Measure
1032.    wt: 10:   14 Why Scalar Multiplication Distributes Physical Argument
1033.    wt: 10:   7 Coordinate Addition and Scalar Multiplication
1034.    wt: 10:   Triangle Angles Sum To 180 Degrees
1035.    wt: 10:   13 Straight Lines Finding Equations from 2 points
1036.    wt: 10:   12 Straight Lines Graphing mx plus b
1037.    wt: 10:   6 Tangent Function Inclination Angle Take 2
1038.    wt: 10:   7 Complex Numbers Appetizer
1039.    wt: 10:   4 Angles on Maps Plans drawn to scale
1040.    wt: 10:   25 Mid way Convergence to Axiomatic Approach
1041.    wt: 10:   15 Head to Tails in place Addition Associative
1042.    wt: 10:   5 Areas of Rectangles Revisited
1043.    wt: 10:   2 Fraction Operations Physical Development
1044.    wt: 10:   2 Algebraic View
1045.    wt: 10:   1 What is Proportionality
1046.    wt: 10:   6 Equations and Systems Equivalent or Implied
1047.    wt: 10:   5 Equality in Algebra
1048.    wt: 10:   4 Subtraction and Division Axioms
1049.    wt: 10:   4 Comparison of Negative Numbers
1050.    wt: 10:   1 Real Numbers Comparison
1051.    wt: 10:   3 Geometric Formulas and Function Notation
1052.    wt: 10:   2 GE II Comparison
1053.    wt: 10:   1 GE Substitution four examples
1054.    wt: 10:   2 Essentially one exercises three with solution
1055.    wt: 10:   1 Essentially One Unknown
1056.    wt: 10:   1 Proper Equal Sign Usage
1057.    wt: 10:   Skill Development Notes
1058.    wt: 10:   13 Naming Identifying Formulas with Words
1059.    wt: 10:   8 Compound Interest Formula Evaluation
1060.    wt: 10:   1 Squares and Square Roots Introduction
1061.    wt: 10:   9 GCD of 360 110 via Primes and Euclid Algorithm
1062.    wt: 10:   A Similarities between Fractions and Two Term Ratios
1063.    wt: 10:   13 Fraction Comparison Algebraic View
1064.    wt: 10:   7 Numerals Fractionals Quantals
1065.    wt: 10:   6 Multiplication Algebraically Take II
1066.    wt: 10:   3 Unit fraction of a fraction
1067.    wt: 10:   15 Remainder Arithmetic Modulo 9 Example
1068.    wt: 10:   14 Remainder Arithmetic Modulo 9 Example
1069.    wt: 10:   12 Remainder Arithmetic Modulo 10 Example
1070.    wt: 10:   9 Remainder Arithmetic Divisibility by 5
1071.    wt: 10:   8 Remainder Arithmetic Morulo 5 Examples II
1072.    wt: 10:   7 Remainder Arithmetic Modulo 5 Examples I
1073.    wt: 10:   18 video Count Factors given Prime Factorization
1074.    wt: 10:   15 video Factors of 20 using Prime Factorization
1075.    wt: 10:   13 video Factors of 24 using prime
1076.    wt: 10:   9 video Prime Factorization upto 19 squared
1077.    wt: 10:   4 video Prime Factorization Introduction
1078.    wt: 10:   1 video how Products are bigger than factor
1079.    wt: 10:   5 Decimal Fraction Multiplication
1080.    wt: 10:   8 Subtraction with Units of Measure
1081.    wt: 10:   6 Subtraction with Conversion Example with Exercises
1082.    wt: 10:   5 A Tip for Efficent Subtraction
1083.    wt: 10:   4 Subtraction with Conversions Borrows and Letter J
1084.    wt: 10:   Appendix 1 Counting Revisited 15 minute video
1085.    wt: 10:   4. How to add with decimals B with conversions
1086.    wt: 10:   2 Decimal Counting Practices
1087.    wt: 10:   9 Place Value Review Decimal form of Avogrados number included
1088.    wt: 10:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
1089.    wt: 10:   6 Groups of 3 Place Value in Mixed Decimal Fractions
1090.    wt: 10:   5 More on Groups of 3 Place Value in Decimal Fractions
1091.    wt: 10:   4 Groups of 3 Place Value in Decimal Fractions
1092.    wt: 10:   3 More on Groups of 3 Multi Digit Place Value
1093.    wt: 10:   Example 2 volume of a cone
1094.    wt: 10:   Example 4 with x function of y
1095.    wt: 10:   Example 2
1096.    wt: 10:   Example 1
1097.    wt: 10:   36 Cube root derivative animated
1098.    wt: 10:   28 Chain Rule Preparation for a Proof
1099.    wt: 10:   25 Chain Rule Animated Examples Continued
1100.    wt: 10:   24 Chain Rule Animated Examples
1101.    wt: 10:   17 Derivatives of quotients of sine and cosine
1102.    wt: 10:   14 sine and cosine derivatives 2nd step
1103.    wt: 10:   7 Animated Differentiation Examples
1104.    wt: 10:   13 Limits with Parameters and Derivatives Take II
1105.    wt: 10:   Chapter 20 Vectors and Complex Numbers
1106.    wt: 10:   Chapter 11. Graphing Slope versus Position
1107.    wt: 10:   Chapter 8. Slope Interpretation
1108.    wt: 10:   Chapter 1.Introduction
1109.    wt: 10:   Chapter 22 Contrapositive and Vacuously True Implications
1110.    wt: 10:   Chapter 16 Origins and Limitations of Rules and Patterns
1111.    wt: 10:   Chapter 14 Deductive and Empirical Views of Mathematics
1112.    wt: 10:   Chapter 13 Geometric Thinking Euclidean Model For Reason
1113.    wt: 10:   Chapter 3 What is in chapters 4 to 8
1114.    wt: 10:   More Algebra and Slope based Calculus Preview
1115.    wt: 10:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
1116.    wt: 10:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
1117.    wt: 10:   Phase 1. Basics Skills with clear take home value 5 to 6 years

Arithmetic - Ages 10+
1. Deciml Place Value - fun
2. Decimals for Tutors
3. Prime Factors - quickly
4. Fractions + Ratios
5. Arith with units - science