Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development How-TOs Site Map || Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling; and for avid readers not in school

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 12+: 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

Welcome: Site content may develop critical thinking, improve reading and writing, and build mathematics skills. See online chapters on on logic and pattern based reason.

Teachers: This December 2011, 5-phase framework offers a context for mathematics & logic instruction. Phases 1 to 3 focus on skills with actual or potential value for adult & daily life. College-oriented phases 5 & 4 focus on calculus & preparation for it. Phases 1 to 4 may also serve trades & professions not dependent on calculus.

Site Review: Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation for high school and college ... mathematics. Read more.

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47 matches:

  1.    wt: 7:   1 Maps Plans Measurement/
  2.    wt: 6:   13 Vectors/
  3.    wt: 6:   8 Unit Circle Trigonometry/
  4.    wt: 6:   6 Trigonometry first steps/
  5.    wt: 6:   2 Euclidean Geometry Constructions Theory extras/
  6.    wt: 5:   15 Arc or Inverse Trigonometric Function/
  7.    wt: 5:   14 Degrees to Radians and Radians to Degrees/
  8.    wt: 5:   12 Function Translating and Rescaling/
  9.    wt: 5:   11 Parallel Straight Lines and Transversals/
  10.    wt: 5:   10 Intersecting Straight Lines and Transversals/
  11.    wt: 5:   9 Lines and Slopes Take 2 with tangent function/
  12.    wt: 5:   7 Complex Numbers/
  13.    wt: 5:   5 What is Similarity/
  14.    wt: 5:   4 Lines and Slopes Take 1/
  15.    wt: 5:   3 Cartesian and Polar Coordinates/
  16.    wt: 5:   Geometry maps plans trigonometry vectors/
  17.    wt: 2:   12 Comparison of Unsigned and Signed Numbers/
  18.    wt: 1:   LAMP Lean Applied Mathematics Program/
  19.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  20.    wt: 1:   Mathematics Education Essays/
  21.    wt: 1:   Mathematics Skills Year by Year/
  22.    wt: 1:   3 Quadratics Geometrically/
  23.    wt: 1:   A Origins of Counting and Figuring Methods/
  24.    wt: 1:   10 Examples of Algebraic Reasoning/
  25.    wt: 1:   8 Unifying Theme For Algebra/
  26.    wt: 1:   11 Squares and Square Roots/
  27.    wt: 1:   10 LCM GCD and Euclid GCD Algorithm/
  28.    wt: 1:   9 Combinatorics Trees Tables and Products/
  29.    wt: 1:   8 Arithmetic with Signed Numbers/
  30.    wt: 1:   7 Arithmetic and Fractions with Units/
  31.    wt: 1:   6 Fractions and Ratios/
  32.    wt: 1:   5 Integers/
  33.    wt: 1:   4 Remainder Arithmetic and Divisibility/
  34.    wt: 1:   3 Prime Factorization Skills/
  35.    wt: 1:   D Decimal Long Division Methods/
  36.    wt: 1:   C Decimal Multiplication Methods/
  37.    wt: 1:   B Decimal Comparing and Subtracting Methods/
  38.    wt: 1:   A Decimal Counting and Adding Methods/
  39.    wt: 1:   2 Arithmetic with Decimals/
  40.    wt: 1:   1 Decimal Place Value/
  41.    wt: 1:   Arithmetic and Number Theory Skills/
  42.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  43.    wt: 1:   Volume 1 Elements of Reason/
  44.    wt: 1:   Mathematics 506 Lessons/
  45.    wt: 1:   Secondary Mathematics A Practical Approach/
  46.    wt: 1:   PreSchool and Primary Mathematics or Quantitative Skills/
  47.    wt: 1:   Mathematics Skill Development Framework/

Web Page Search

319 matches:

  1.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  2.    wt: 3:   Analytic View of Triangle Construction or Line Instersection More
  3.    wt: 3:   5 An Easy Proof of the Distributive Law
  4.    wt: 3:   Why Trigonometry the whyslopes view
  5.    wt: 3:   10 Similarity of Triangles Equivalent of Two Criteria
  6.    wt: 3:   1 Numerical view of lines and their equations
  7.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  8.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  9.    wt: 2:   Mathematics Education Professors
  10.    wt: 2:   Maps Plans Drawings
  11.    wt: 2:   Theory of Knowledge
  12.    wt: 2:   three kinds of reason in mathematics
  13.    wt: 2:   8 The Effect of Negative Remarks
  14.    wt: 2:   8 Set view of relations and functions
  15.    wt: 2:   1 Geometric Introduction of Function Notation
  16.    wt: 2:   4 Resultant of a Sum of Movements
  17.    wt: 2:   32 seven rows of pascals triangle
  18.    wt: 2:   27 Logarithmic use of products of sines and cosines
  19.    wt: 2:   Unit Circle Development of Trigonometry
  20.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  21.    wt: 2:   8 Unit Circle Development of Trigonometry
  22.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  23.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  24.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  25.    wt: 2:   9 Similarity of Triangles Usual Criteria
  26.    wt: 2:   8 Similarity of Triangles and Polygons
  27.    wt: 2:   5 Algebraic View of Slopes
  28.    wt: 2:   11 Triangle Inequality
  29.    wt: 2:   9 Pythagorean Theorem Chinese Square Proof
  30.    wt: 2:   17 Right Bisectors of Triangle Sides
  31.    wt: 2:   3 Isometry of Triangles Congruence
  32.    wt: 2:   8 More Use of Maps Not Drawn to Scale
  33.    wt: 2:   4 Angles on Maps Plans drawn to scale
  34.    wt: 2:   3 Lengths and Areas on Maps and Plans
  35.    wt: 2:   21 Addition of Multiples of a Single Vector
  36.    wt: 2:   19 Signed Multiples of Vectors
  37.    wt: 2:   1 The Counting Origins of Numbers
  38.    wt: 2:   7 Pythagorean Theorem Chinese Square Proof
  39.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  40.    wt: 2:   6 Sieve of Eratosthenes and Square Rule
  41.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  42.    wt: 2:   Video Decimal Multiplication Geometric View Example 2
  43.    wt: 2:   9 Place Value Review Decimal form of Avogrados number included
  44.    wt: 2:   17 Derivatives of quotients of sine and cosine
  45.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  46.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  47.    wt: 2:   G.3 Constant Difference Theorem Proof
  48.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  49.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  50.    wt: 2:   6 Measuring via counting or arithmetic the role of fractions
  51.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  52.    wt: 2:   Helping the Blind in Logic and Mathematics
  53.    wt: 1:   Appendix 1 primary and preschool mathematic
  54.    wt: 1:   E LAMP Introduction Modern Mathematics
  55.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  56.    wt: 1:   Ramblings Extrinsic numbers theory
  57.    wt: 1:   11 pure mathematics
  58.    wt: 1:   7 logic review and decimals an odd combination
  59.    wt: 1:   why bother
  60.    wt: 1:   website reviews
  61.    wt: 1:   Teach the teachers plus goals
  62.    wt: 1:   About site lesson plans
  63.    wt: 1:   key notes and themes
  64.    wt: 1:   mathematics in context
  65.    wt: 1:   Secondary Three Mathematics
  66.    wt: 1:   Secondary Two Mathematics
  67.    wt: 1:   Secondary One Mathematics
  68.    wt: 1:   talk the algebra talk
  69.    wt: 1:   mathematics curriculum shifts
  70.    wt: 1:   geometric implications for algebra
  71.    wt: 1:   the trouble with algebra
  72.    wt: 1:   three goals for Mathematics Education
  73.    wt: 1:   04 29 New Mathematics Curriculum
  74.    wt: 1:   04 25 when to stop or suspend mathemat
  75.    wt: 1:   02 20 mathematics education references
  76.    wt: 1:   three aims for mathematics students
  77.    wt: 1:   Operational Viewpoint to Value
  78.    wt: 1:   formal or informal peer review
  79.    wt: 1:   mathematics instruction in general
  80.    wt: 1:   Education in mathematics science and technology
  81.    wt: 1:   Different Kinds of Reasoning in maths
  82.    wt: 1:   need for a mixed mathematics curriculum
  83.    wt: 1:   Leaner mathematics curriculum
  84.    wt: 1:   words for mathematics instructor
  85.    wt: 1:   chapitre 07 01 principle D induction mathematique
  86.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  87.    wt: 1:   E Kirchoffs Second Law
  88.    wt: 1:   D Kirchoff First Law
  89.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  90.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  91.    wt: 1:   22 Student Centered Highschool Mathematics
  92.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  93.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  94.    wt: 1:   18 Primary School Mathematics
  95.    wt: 1:   16 Secondary Mathematics Tips
  96.    wt: 1:   12 Goals and Objectives For Mathematics
  97.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  98.    wt: 1:   17 Function maxima minima and their location
  99.    wt: 1:   15 Sign analysis of functions
  100.    wt: 1:   9 Set theory term relation possible origins
  101.    wt: 1:   5 Function notation for geometric transformations
  102.    wt: 1:   4 Function notation in and beyond mathematics
  103.    wt: 1:   2 Algebraic use of function notation
  104.    wt: 1:   9 quadratics physical and further context
  105.    wt: 1:   8 quadratics backward use of various formulas
  106.    wt: 1:   5 quadratics completing the square
  107.    wt: 1:   4 quadratics difference of two squares
  108.    wt: 1:   11 arctan left inverse of tangent Graph
  109.    wt: 1:   10 arctan left inverse of tangent Definition
  110.    wt: 1:   8 arcsin left inverse of sine Graph
  111.    wt: 1:   7 arcsin left inverse of sine Definition
  112.    wt: 1:   6 Graph of arccos function
  113.    wt: 1:   3 Left Inverse of cosine arccos definition
  114.    wt: 1:   8 Radian Measures of Common Angles
  115.    wt: 1:   7 Radian Measures in special Triangles
  116.    wt: 1:   2 Radian Measure Numerical Value of one degree
  117.    wt: 1:   13 Velocity Vectors in Physics
  118.    wt: 1:   12 From Applied To Pure Mathematics
  119.    wt: 1:   9 Head to Tail Coordinate View
  120.    wt: 1:   8 Parallel Vectors
  121.    wt: 1:   6 Vectors with Coordinates
  122.    wt: 1:   3 Navigation with Arrows or Vectors
  123.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  124.    wt: 1:   Triangle Angles Sum To 180 Degrees
  125.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  126.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  127.    wt: 1:   Straight Lines Intersection of
  128.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  129.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  130.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  131.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  132.    wt: 1:   30 unit circle calculation of six trigonometric functions
  133.    wt: 1:   28 Expressing products of sines cosines as sums
  134.    wt: 1:   26 Formulas for products of sines and cosines
  135.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  136.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  137.    wt: 1:   18 sum of sinusoidal waves as a single wave
  138.    wt: 1:   17G Pythagorean Theorem Converse
  139.    wt: 1:   17F Law of cosines
  140.    wt: 1:   17A The complex number valued trig function cis
  141.    wt: 1:   16 Right Triangle Complementary Angle Relations
  142.    wt: 1:   13 Graph of tangent function many periods
  143.    wt: 1:   12 Graph of tangent function for one period
  144.    wt: 1:   10 Graphs of sines and cosines many periods
  145.    wt: 1:   9 Graphs of sine and cosine over one period
  146.    wt: 1:   8 period of tangent function
  147.    wt: 1:   7 period of sine and cosine
  148.    wt: 1:   20 N th Roots of Complex Numbers
  149.    wt: 1:   19 N th Roots of Unity
  150.    wt: 1:   18 Sixth Roots of Unity
  151.    wt: 1:   17 Cube Roots of unity
  152.    wt: 1:   15 Pythagorean Theorem Converse
  153.    wt: 1:   14 Law of cosines
  154.    wt: 1:   9 The complex number valued trig function cis
  155.    wt: 1:   6 Field Properties of Complex Number
  156.    wt: 1:   1 Rectangular Polar Coordinates Review
  157.    wt: 1:   8 Triangles Cascade Problem Solving
  158.    wt: 1:   5 Trigonometric Ratios For Tangent and Special Triangles
  159.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  160.    wt: 1:   12 Triangles Similarity More Problems
  161.    wt: 1:   11 Triangle Similarity Missing Side Problem
  162.    wt: 1:   6 Geometric Diagrams in Class
  163.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  164.    wt: 1:   1 Early Concept of Like or Similar Shapes
  165.    wt: 1:   10 Midpoint of [a b] and [b a]
  166.    wt: 1:   6 Intersection of lines by solving linear systems
  167.    wt: 1:   3 Rectangular Coordinates Review
  168.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  169.    wt: 1:   19 Right Triangle Similarity
  170.    wt: 1:   18 Triangle Similarity Take 1
  171.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  172.    wt: 1:   11 Triangle Construction Fails
  173.    wt: 1:   9 Construction of a right bisector
  174.    wt: 1:   8 Isoceles Triangles
  175.    wt: 1:   2 Correspondence between Triangles
  176.    wt: 1:   6 Figuring with Maps Not to Scale
  177.    wt: 1:   A Signed Number Arithmetic Review
  178.    wt: 1:   22 Multiplication of Signed Numbers
  179.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  180.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  181.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  182.    wt: 1:   13 Arrows and Vectors in a Plane
  183.    wt: 1:   8 Division and Mulplication of Compound Fractions
  184.    wt: 1:   4 Location of Point in Decimal Addition
  185.    wt: 1:   3 Location of Point in Decimal Multiplication
  186.    wt: 1:   5 Areas of Rectangles Revisited
  187.    wt: 1:   2 Algebraic View
  188.    wt: 1:   5 Triangle Area Formula Backwards
  189.    wt: 1:   4 Comparison of Negative Numbers
  190.    wt: 1:   8 Coordinates for Maps and Planes
  191.    wt: 1:   3 Geometric Formulas and Function Notation
  192.    wt: 1:   11 Volume of Sphere
  193.    wt: 1:   10 Volume of Pyramid
  194.    wt: 1:   9 Volume of Cone
  195.    wt: 1:   3 Triangle Area Formula Example
  196.    wt: 1:   2 Another Rectangle Area Formula Example
  197.    wt: 1:   8 Sets of Numbers
  198.    wt: 1:   6 Three Notions of What is a Variable
  199.    wt: 1:   4 A Brief Story of numbers and algebra
  200.    wt: 1:   3 Comparison of Negative Numbers
  201.    wt: 1:   3 Properties of Square Roots with example
  202.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  203.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  204.    wt: 1:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  205.    wt: 1:   14 GCD of 650 110 via Primes LCM via Product Rule
  206.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  207.    wt: 1:   4 LCM of 8 and 10 via Prime
  208.    wt: 1:   5 lengths and signs of numbers
  209.    wt: 1:   3 signed coordinates for maps and planes
  210.    wt: 1:   6 Simplification of Fractions with Units
  211.    wt: 1:   20 Dividing Fractions the Why
  212.    wt: 1:   13 Fraction Comparison Algebraic View
  213.    wt: 1:   11 Simplification an Algebraic View
  214.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  215.    wt: 1:   6 Multiplication of Mixed Numbers
  216.    wt: 1:   3 Unit fraction of a fraction
  217.    wt: 1:   A Associative Law Theorectical Note
  218.    wt: 1:   2 Integers Multiplies of a Unit Moverment
  219.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  220.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  221.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  222.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  223.    wt: 1:   20 Uniqueness of Prime Factorization
  224.    wt: 1:   16 video Factors of 980 using prime
  225.    wt: 1:   15 video Factors of 20 using Prime Factorization
  226.    wt: 1:   14 video Factors of 24 Take II
  227.    wt: 1:   13 video Factors of 24 using prime
  228.    wt: 1:   11 Another Single Digit Divisor Example
  229.    wt: 1:   8 Correcting the Mistake
  230.    wt: 1:   C Counting Areas with Powers of Ten
  231.    wt: 1:   B Powers of Ten
  232.    wt: 1:   Subtraction Another Video Lesson
  233.    wt: 1:   9 22 Minute Subtraction Review Video
  234.    wt: 1:   8 Subtraction with Units of Measure
  235.    wt: 1:   10 Names for Big Numbers and Powers of Ten Expansion
  236.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  237.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  238.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  239.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  240.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  241.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  242.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  243.    wt: 1:   Quick history of numbers and algebra
  244.    wt: 1:   The 20 Times Table
  245.    wt: 1:   The 12 Times Table Visually
  246.    wt: 1:   012 Division of Time Intervals by Time Intervals
  247.    wt: 1:   011 Division of Time Intervals By Numbers
  248.    wt: 1:   010 Repeated Addition of Time Intervals
  249.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  250.    wt: 1:   8 Addition of Time Intervals via subtotaling
  251.    wt: 1:   7 Addition of Time Intervals
  252.    wt: 1:   4 Mixing and Changing Units of Time
  253.    wt: 1:   3 Units and Lengths of Time
  254.    wt: 1:   1 Intro of Kids To Time Date Skills
  255.    wt: 1:   Example 2 volume of a cone
  256.    wt: 1:   Example 1 volume of a pyramid
  257.    wt: 1:   Volume of Solid by Cross Sections Lesson
  258.    wt: 1:   Example 4 with x function of y
  259.    wt: 1:   34 Derivative of exponential function
  260.    wt: 1:   31 Derivatives of inverse functions
  261.    wt: 1:   30Chain Rule A Proof
  262.    wt: 1:   28 Chain Rule Preparation for a Proof
  263.    wt: 1:   8 Differentiation of polynomials
  264.    wt: 1:   5 Jumps and absence of unlimited error control
  265.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  266.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  267.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  268.    wt: 1:   F.5b Extreme Value Theorem
  269.    wt: 1:   F.5a Equicontinuity Theorems
  270.    wt: 1:   F.4 Finite Covering Theorem
  271.    wt: 1:   F.3 Intermediate Value Theorem
  272.    wt: 1:   F.2 Closed Range Theorem
  273.    wt: 1:   E2 Algebraic Properties of Limits
  274.    wt: 1:   D2 Limits of Monotone Sequences
  275.    wt: 1:   C Triangle Inequalities
  276.    wt: 1:   B3 Bolzano Weierstrass Theorem
  277.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  278.    wt: 1:   Chapter 23 Links To Trigonometry
  279.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  280.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  281.    wt: 1:   Appendix E. How To Study Mathematics and Why
  282.    wt: 1:   Chapter 25. Mathematical Induction Examples
  283.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  284.    wt: 1:   Chapter 16. Painless Theorem Proving
  285.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  286.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  287.    wt: 1:   Chapter 6 Change of Language
  288.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  289.    wt: 1:   Chapter 4 Longer Chains of Reason
  290.    wt: 1:   Chapter 3 Chains of Reason
  291.    wt: 1:   Postscript B Mathematics Education References
  292.    wt: 1:   Chapter 9 The Two Ends
  293.    wt: 1:   Chapter 7 Two Treatments of Geometry
  294.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  295.    wt: 1:   Chapter 2 For and Against Mathematics
  296.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  297.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  298.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  299.    wt: 1:   Chapter 8 Change of Language
  300.    wt: 1:   Chapter 7 Longer Chains of Reason
  301.    wt: 1:   Chapter 6 Chains of Reason
  302.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  303.    wt: 1:   R Why Learn Mathematics Skills
  304.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  305.    wt: 1:   O On Learning Mathematics and Science
  306.    wt: 1:   N Mathematics Prepare for College Studies
  307.    wt: 1:   F. The student teacher tutor feedback loop
  308.    wt: 1:   C. Domino effect of being careful
  309.    wt: 1:   B. Domino effect of errors
  310.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  311.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  312.    wt: 1:   Mathematics Education References
  313.    wt: 1:   Mathematics Education References
  314.    wt: 1:   Multiple Ways to Improve Mathematics Skill Development
  315.    wt: 1:   More Algebra and Slope based Calculus Preview
  316.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  317.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  318.    wt: 1:   The Math Forum and Site Content
  319.    wt: 1:   Site Reviews

Extended Search

760 matches:

  1.    wt: 9:   Why Trigonometry the whyslopes view
  2.    wt: 9:   8 More Use of Maps Not Drawn to Scale
  3.    wt: 9:   4 Angles on Maps Plans drawn to scale
  4.    wt: 9:   3 Lengths and Areas on Maps and Plans
  5.    wt: 8:   4 Resultant of a Sum of Movements
  6.    wt: 8:   Analytic View of Triangle Construction or Line Instersection More
  7.    wt: 8:   32 seven rows of pascals triangle
  8.    wt: 8:   27 Logarithmic use of products of sines and cosines
  9.    wt: 8:   Unit Circle Development of Trigonometry
  10.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  11.    wt: 8:   5 An Easy Proof of the Distributive Law
  12.    wt: 8:   6 Trigonometry Sines of Supplementary Angles
  13.    wt: 8:   2 Similar Triangles Equality of Corresponding Side Ratios
  14.    wt: 8:   Right Triangle and Unit Circle Trigonometry
  15.    wt: 8:   10 Similarity of Triangles Equivalent of Two Criteria
  16.    wt: 8:   1 Numerical view of lines and their equations
  17.    wt: 8:   17 Right Bisectors of Triangle Sides
  18.    wt: 8:   3 Isometry of Triangles Congruence
  19.    wt: 8:   6 Figuring with Maps Not to Scale
  20.    wt: 7:   13 Velocity Vectors in Physics
  21.    wt: 7:   12 From Applied To Pure Mathematics
  22.    wt: 7:   9 Head to Tail Coordinate View
  23.    wt: 7:   8 Parallel Vectors
  24.    wt: 7:   6 Vectors with Coordinates
  25.    wt: 7:   3 Navigation with Arrows or Vectors
  26.    wt: 7:   35 sines and cosines of 2A 3A 4A 5A
  27.    wt: 7:   34 sines and cosines of 2A 3A 4A 5A
  28.    wt: 7:   33 sines and cosines of 2A 3A 4A 5A
  29.    wt: 7:   30 unit circle calculation of six trigonometric functions
  30.    wt: 7:   28 Expressing products of sines cosines as sums
  31.    wt: 7:   26 Formulas for products of sines and cosines
  32.    wt: 7:   23 sine and cosine of 180 plus 22.5 degrees
  33.    wt: 7:   22 sine of 22.5 degrees via half angle formulas
  34.    wt: 7:   18 sum of sinusoidal waves as a single wave
  35.    wt: 7:   17G Pythagorean Theorem Converse
  36.    wt: 7:   17F Law of cosines
  37.    wt: 7:   17A The complex number valued trig function cis
  38.    wt: 7:   16 Right Triangle Complementary Angle Relations
  39.    wt: 7:   13 Graph of tangent function many periods
  40.    wt: 7:   12 Graph of tangent function for one period
  41.    wt: 7:   10 Graphs of sines and cosines many periods
  42.    wt: 7:   9 Graphs of sine and cosine over one period
  43.    wt: 7:   8 period of tangent function
  44.    wt: 7:   7 period of sine and cosine
  45.    wt: 7:   8 Unit Circle Development of Trigonometry
  46.    wt: 7:   8 Triangles Cascade Problem Solving
  47.    wt: 7:   5 Trigonometric Ratios For Tangent and Special Triangles
  48.    wt: 7:   4 Trigonometric Ratios For Two Special Triangles
  49.    wt: 7:   9 Similarity of Triangles Usual Criteria
  50.    wt: 7:   8 Similarity of Triangles and Polygons
  51.    wt: 7:   5 Algebraic View of Slopes
  52.    wt: 7:   11 Triangle Inequality
  53.    wt: 7:   9 Pythagorean Theorem Chinese Square Proof
  54.    wt: 7:   PS C Similarity Use Recognize it in Trigonometry
  55.    wt: 7:   19 Right Triangle Similarity
  56.    wt: 7:   18 Triangle Similarity Take 1
  57.    wt: 7:   15 Triangle Angle Sum is 180 degrees
  58.    wt: 7:   11 Triangle Construction Fails
  59.    wt: 7:   9 Construction of a right bisector
  60.    wt: 7:   8 Isoceles Triangles
  61.    wt: 7:   2 Correspondence between Triangles
  62.    wt: 7:   A Measurement with Ruler Proper Use
  63.    wt: 7:   5 Drawing to Scale Avoids Angle Distortions
  64.    wt: 7:   2 Measuring Area Directly
  65.    wt: 7:   1 Length Measurement
  66.    wt: 6:   11 arctan left inverse of tangent Graph
  67.    wt: 6:   10 arctan left inverse of tangent Definition
  68.    wt: 6:   8 arcsin left inverse of sine Graph
  69.    wt: 6:   7 arcsin left inverse of sine Definition
  70.    wt: 6:   6 Graph of arccos function
  71.    wt: 6:   3 Left Inverse of cosine arccos definition
  72.    wt: 6:   8 Radian Measures of Common Angles
  73.    wt: 6:   7 Radian Measures in special Triangles
  74.    wt: 6:   2 Radian Measure Numerical Value of one degree
  75.    wt: 6:   A Global Time and Navigation
  76.    wt: 6:   15 Dot and Cross Product
  77.    wt: 6:   14 Why Scalar Multiplication Distributes Physical Argument
  78.    wt: 6:   11 Component Method
  79.    wt: 6:   10 Parallelogram Addition Method
  80.    wt: 6:   7 Coordinate Addition and Scalar Multiplication
  81.    wt: 6:   5 Head To Tail Arrow Addition
  82.    wt: 6:   2 Signed Coordinates
  83.    wt: 6:   1 Unsigned Coordinates
  84.    wt: 6:   Vector and Complex Number Applet
  85.    wt: 6:   Proportionality of Line Segments From Parallel Transversals
  86.    wt: 6:   Triangle Angles Sum To 180 Degrees
  87.    wt: 6:   Construction Methods and Criteria for Isometric and Similar Triangles
  88.    wt: 6:   SAS Method For Isometric Or Proportional Triangle Construction
  89.    wt: 6:   Straight Lines Intersection of
  90.    wt: 6:   3 Straight Lines Slope as Tangent of Inclination Angle
  91.    wt: 6:   17 tangent function angle sum formulas
  92.    wt: 6:   31 basic secant cosecant cotangent trig identities
  93.    wt: 6:   29 secant cosecant and cotangent for acute angles
  94.    wt: 6:   25 tangent double angle formula Slope connection
  95.    wt: 6:   24 tangent Angle Difference Formula
  96.    wt: 6:   21 sine and cosine Half Angle Formulas
  97.    wt: 6:   20 sine and cosine Double Angle Formulas
  98.    wt: 6:   19 Pythagorean Identity For sine and cosine functions
  99.    wt: 6:   17E Trig Formulas for dot and cross Products
  100.    wt: 6:   17D cis formulas for sine cosines and tangent
  101.    wt: 6:   17C sine and cosine double triple angle formulas
  102.    wt: 6:   17B sine cosine Angle Sum Formulas via cis
  103.    wt: 6:   15 sine cosine Complementary Angle Relations
  104.    wt: 6:   14 cosine even and sine and tangent are odd
  105.    wt: 6:   11 tangent function undefined when terminal side vertical
  106.    wt: 6:   6 sines and cosines for reference angle 30 degrees
  107.    wt: 6:   5 sines and cosines for reference angle 60 degrees
  108.    wt: 6:   4 sines and cosines for reference angle 45 degrees
  109.    wt: 6:   3 sines and cosines for reference angle 90 degrees
  110.    wt: 6:   2 Quadrant I reference Angles
  111.    wt: 6:   1 Unit Points Reflections Rotations
  112.    wt: 6:   20 N th Roots of Complex Numbers
  113.    wt: 6:   19 N th Roots of Unity
  114.    wt: 6:   18 Sixth Roots of Unity
  115.    wt: 6:   17 Cube Roots of unity
  116.    wt: 6:   15 Pythagorean Theorem Converse
  117.    wt: 6:   14 Law of cosines
  118.    wt: 6:   9 The complex number valued trig function cis
  119.    wt: 6:   6 Field Properties of Complex Number
  120.    wt: 6:   1 Rectangular Polar Coordinates Review
  121.    wt: 6:   7 Trignometric Ratios Unit Circle
  122.    wt: 6:   3 Trigonometric Ratios sine and cosine
  123.    wt: 6:   1 Angle Measurement with Degrees
  124.    wt: 6:   12 Triangles Similarity More Problems
  125.    wt: 6:   11 Triangle Similarity Missing Side Problem
  126.    wt: 6:   6 Geometric Diagrams in Class
  127.    wt: 6:   5 Similarity of Circles Squares and Rectangles
  128.    wt: 6:   1 Early Concept of Like or Similar Shapes
  129.    wt: 6:   10 Midpoint of [a b] and [b a]
  130.    wt: 6:   6 Intersection of lines by solving linear systems
  131.    wt: 6:   3 Rectangular Coordinates Review
  132.    wt: 6:   Euclidean Geometry Elsewhere LINKS
  133.    wt: 6:   PS H Distributive Law For Complex Numbers
  134.    wt: 6:   PS G Rotation Distributes over Addition
  135.    wt: 6:   PS F Scalar Multiplication Distributes over Addition
  136.    wt: 6:   PS E Multiplication with Polar Coordinates
  137.    wt: 6:   PS D Addition with Cartesian Coordinates
  138.    wt: 6:   PS B Parallelogram Construction Methods
  139.    wt: 6:   PS A Kite Construction Methods
  140.    wt: 6:   21 Parallelograms
  141.    wt: 6:   16 Angles Subtended By Chords and Diameters
  142.    wt: 6:   14 Parallel Lines Postulate
  143.    wt: 6:   13 Angle Side Angle Failure
  144.    wt: 6:   12 Side Angle Side Failure
  145.    wt: 6:   10 Dropping a perpendicular to line
  146.    wt: 6:   7 Angle Side Angle
  147.    wt: 6:   6 Ruler and compass Angle Bisection
  148.    wt: 6:   5 Side Angle Side
  149.    wt: 6:   4 Side Side Side
  150.    wt: 6:   1 Initial Concepts and Terms
  151.    wt: 6:   Short Course on Euclidean Geometry
  152.    wt: 5:   16 cotangent function Definition Graph and Inverse
  153.    wt: 5:   15 cosecant function Definition Graph and Inverse
  154.    wt: 5:   14 secant function Definition Graph and Inverse
  155.    wt: 5:   13 cosecant function Definition Graph and Inverse
  156.    wt: 5:   12 motivation for term arctan
  157.    wt: 5:   9 motivation for name arcsin
  158.    wt: 5:   5 Swapping Coordinates is a reflection
  159.    wt: 5:   4 possible motivation for term arccos
  160.    wt: 5:   2 cosine function more properties
  161.    wt: 5:   1 cosine function properties
  162.    wt: 5:   9 Summary Degrees to Radians and back
  163.    wt: 5:   6 Radian Measure to Degrees
  164.    wt: 5:   5 Degrees to Radian Measure
  165.    wt: 5:   4 Circle Sector Area proportional to Central Angle
  166.    wt: 5:   3 Circle Arclengh Proportional to Central Angle
  167.    wt: 5:   1 Degrees and Radians Introduction
  168.    wt: 5:   4 graphing y=Asin(x c)
  169.    wt: 5:   3 graphing y=f(x c) plus K
  170.    wt: 5:   2 Graphing y=Af(x) Vertical Scaling
  171.    wt: 5:   1 graphing y=f(x a)
  172.    wt: 5:   Parallel Lines and Parallel Transversals
  173.    wt: 5:   Parallel Lines and Alternating Corresponding Angles
  174.    wt: 5:   Parallel Lines and Interior Angles
  175.    wt: 5:   Straight Lines ASA Intersection Study More
  176.    wt: 5:   Straight Lines ASA Intersection Study
  177.    wt: 5:   Straight Lines Instersection Solving Equations
  178.    wt: 5:   D Straight Lines Slope from Coordinates Examples
  179.    wt: 5:   C Straight Lines Slope from Coordinates
  180.    wt: 5:   B Straight Line Slope Scaling Properties More
  181.    wt: 5:   A Straight Line Slope Scaling Properties
  182.    wt: 5:   14 Straight Lines Equations General Case
  183.    wt: 5:   13 Straight Lines Finding Equations from 2 points
  184.    wt: 5:   12 Straight Lines Graphing mx plus b
  185.    wt: 5:   11 Straight Lines Graphing y=mx
  186.    wt: 5:   10 Straight Lines through Origin Equations More
  187.    wt: 5:   9 Straight Lines through Origin Equations
  188.    wt: 5:   8 Straight Lines Equation for vertical
  189.    wt: 5:   7 Tangent Function is odd on this domain
  190.    wt: 5:   6 Tangent Function Inclination Angle Take 2
  191.    wt: 5:   5 Tangent Function Graph
  192.    wt: 5:   4 Tangent Function Properties
  193.    wt: 5:   2 Straight Lines Slopes As Rise Over Run
  194.    wt: 5:   1 Straight Lines Slope Concept
  195.    wt: 5:   21 Logarithms Powers and Exponentials
  196.    wt: 5:   16 References and Originality Question
  197.    wt: 5:   13 Trig Formulas for dot and cross Products
  198.    wt: 5:   12 cis formulas for sine cosines and tangent
  199.    wt: 5:   11 sine and cosine double triple angle formulas
  200.    wt: 5:   10 sine cosine Angle Sum Formulas via cis
  201.    wt: 5:   7 Second Way to Calculate Products
  202.    wt: 5:   4 Multiplication Properties
  203.    wt: 5:   3 Addition Properties
  204.    wt: 5:   2 Complex Numbers made easier we hope
  205.    wt: 5:   Appetizer A Complex Number Applet
  206.    wt: 5:   13 Navigation Location from Angles to 2 Landmarks
  207.    wt: 5:   7 Translations Rotations Reflections Dilatations
  208.    wt: 5:   4 Similarity Definition with Coordinate
  209.    wt: 5:   3 Similarity by Design with coordinates
  210.    wt: 5:   2 Similarity By Design
  211.    wt: 5:   Four Simple Exercises
  212.    wt: 5:   12 Links Lessons elsewhere
  213.    wt: 5:   11 A Partial Summary
  214.    wt: 5:   9 Midpoint Coordinates Half Endpoint Sum
  215.    wt: 5:   8 Mid Point Formula
  216.    wt: 5:   7 Exercises to test skill and concept mastery
  217.    wt: 5:   4 Equations for lines three forms
  218.    wt: 5:   3 Slope product for perpendicular lines
  219.    wt: 5:   2 point slope equation for a line
  220.    wt: 5:   What is and is not here
  221.    wt: 5:   13 Pythagorean spatial distance formulas
  222.    wt: 5:   12 Spatial Coordinates
  223.    wt: 5:   10 Pythagorean plane distance formula
  224.    wt: 5:   8 Distance Between Points on a Line
  225.    wt: 5:   7 Complex Numbers Appetizer
  226.    wt: 5:   6 Polar Multiplication and Rotation
  227.    wt: 5:   5 Cartesian Addition and Translation
  228.    wt: 5:   4 Polar Coordinates to and from
  229.    wt: 5:   2 Cartesian Coordinates with signs
  230.    wt: 5:   1 Cartesian Coordinates sans signs
  231.    wt: 5:   About Folder Contents
  232.    wt: 3:   Mathematics Education Professors
  233.    wt: 3:   Maps Plans Drawings
  234.    wt: 3:   Theory of Knowledge
  235.    wt: 3:   three kinds of reason in mathematics
  236.    wt: 3:   19 Extending the Oral Dimension of Mathematics
  237.    wt: 3:   1 The Counting Origins of Numbers
  238.    wt: 3:   7 Pythagorean Theorem Chinese Square Proof
  239.    wt: 3:   3 Comparison of Negative Numbers
  240.    wt: 3:   6 Sieve of Eratosthenes and Square Rule
  241.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  242.    wt: 3:   Video Decimal Multiplication Geometric View Example 2
  243.    wt: 3:   9 Place Value Review Decimal form of Avogrados number included
  244.    wt: 3:   Postscript Pythagorean Theorem yet another proof
  245.    wt: 3:   Chapter 14 Deductive and Empirical Views of Mathematics
  246.    wt: 3:   6 Measuring via counting or arithmetic the role of fractions
  247.    wt: 3:   5 Interpreting and Drawing Maps and Plans.
  248.    wt: 3:   Helping the Blind in Logic and Mathematics
  249.    wt: 2:   Appendix 1 primary and preschool mathematic
  250.    wt: 2:   E LAMP Introduction Modern Mathematics
  251.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  252.    wt: 2:   Ramblings Extrinsic numbers theory
  253.    wt: 2:   11 pure mathematics
  254.    wt: 2:   7 logic review and decimals an odd combination
  255.    wt: 2:   why bother
  256.    wt: 2:   website reviews
  257.    wt: 2:   Teach the teachers plus goals
  258.    wt: 2:   About site lesson plans
  259.    wt: 2:   key notes and themes
  260.    wt: 2:   mathematics in context
  261.    wt: 2:   Secondary Three Mathematics
  262.    wt: 2:   Secondary Two Mathematics
  263.    wt: 2:   Secondary One Mathematics
  264.    wt: 2:   talk the algebra talk
  265.    wt: 2:   mathematics curriculum shifts
  266.    wt: 2:   geometric implications for algebra
  267.    wt: 2:   the trouble with algebra
  268.    wt: 2:   three goals for Mathematics Education
  269.    wt: 2:   04 29 New Mathematics Curriculum
  270.    wt: 2:   04 25 when to stop or suspend mathemat
  271.    wt: 2:   02 20 mathematics education references
  272.    wt: 2:   three aims for mathematics students
  273.    wt: 2:   Operational Viewpoint to Value
  274.    wt: 2:   formal or informal peer review
  275.    wt: 2:   mathematics instruction in general
  276.    wt: 2:   Education in mathematics science and technology
  277.    wt: 2:   Different Kinds of Reasoning in maths
  278.    wt: 2:   need for a mixed mathematics curriculum
  279.    wt: 2:   Leaner mathematics curriculum
  280.    wt: 2:   words for mathematics instructor
  281.    wt: 2:   8 The Effect of Negative Remarks
  282.    wt: 2:   8 Set view of relations and functions
  283.    wt: 2:   1 Geometric Introduction of Function Notation
  284.    wt: 2:   9 quadratics physical and further context
  285.    wt: 2:   8 quadratics backward use of various formulas
  286.    wt: 2:   5 quadratics completing the square
  287.    wt: 2:   4 quadratics difference of two squares
  288.    wt: 2:   21 Addition of Multiples of a Single Vector
  289.    wt: 2:   19 Signed Multiples of Vectors
  290.    wt: 2:   5 Areas of Rectangles Revisited
  291.    wt: 2:   5 Triangle Area Formula Backwards
  292.    wt: 2:   10 Set View of Wordy Extensions To Arithmetic
  293.    wt: 2:   4 Greater More Less Than Signs in General
  294.    wt: 2:   2 More and Less Than with Unlike Signs
  295.    wt: 2:   1 More and Less Than for Counts and Measures
  296.    wt: 2:   3 Properties of Square Roots with example
  297.    wt: 2:   17 GCD LCM of 85 and 60 via Prime
  298.    wt: 2:   16 GCD and LCM of 650 225 via Prime
  299.    wt: 2:   15 GCD of 650 225 via Euclid Alg LCM via Product Rule
  300.    wt: 2:   14 GCD of 650 110 via Primes LCM via Product Rule
  301.    wt: 2:   9 GCD of 360 110 via Primes and Euclid Algorithm
  302.    wt: 2:   4 LCM of 8 and 10 via Prime
  303.    wt: 2:   5 lengths and signs of numbers
  304.    wt: 2:   3 signed coordinates for maps and planes
  305.    wt: 2:   6 Simplification of Fractions with Units
  306.    wt: 2:   20 Dividing Fractions the Why
  307.    wt: 2:   13 Fraction Comparison Algebraic View
  308.    wt: 2:   11 Simplification an Algebraic View
  309.    wt: 2:   10 Simplification of Fractions and Mixed Numerals
  310.    wt: 2:   6 Multiplication of Mixed Numbers
  311.    wt: 2:   3 Unit fraction of a fraction
  312.    wt: 2:   A Associative Law Theorectical Note
  313.    wt: 2:   2 Integers Multiplies of a Unit Moverment
  314.    wt: 2:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  315.    wt: 2:   19 Remainder Arithmetic Rule of 9 for checking sums III
  316.    wt: 2:   18 Remainder Arithmetic Rule of 9 for checking sums II
  317.    wt: 2:   17 Remainder Arithmetic Rule of 9 for checking sums I
  318.    wt: 2:   20 Uniqueness of Prime Factorization
  319.    wt: 2:   16 video Factors of 980 using prime
  320.    wt: 2:   15 video Factors of 20 using Prime Factorization
  321.    wt: 2:   14 video Factors of 24 Take II
  322.    wt: 2:   13 video Factors of 24 using prime
  323.    wt: 2:   11 Another Single Digit Divisor Example
  324.    wt: 2:   8 Correcting the Mistake
  325.    wt: 2:   C Counting Areas with Powers of Ten
  326.    wt: 2:   B Powers of Ten
  327.    wt: 2:   Subtraction Another Video Lesson
  328.    wt: 2:   9 22 Minute Subtraction Review Video
  329.    wt: 2:   8 Subtraction with Units of Measure
  330.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  331.    wt: 2:   8 Review Lesson 1 2 4 and 6 All in One
  332.    wt: 2:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  333.    wt: 2:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  334.    wt: 2:   5 More on Groups of 3 Place Value in Decimal Fractions
  335.    wt: 2:   4 Groups of 3 Place Value in Decimal Fractions
  336.    wt: 2:   3 More on Groups of 3 Multi Digit Place Value
  337.    wt: 2:   2 Groups of Three Place Value for Multidigit Decimals
  338.    wt: 2:   Quick history of numbers and algebra
  339.    wt: 2:   The 20 Times Table
  340.    wt: 2:   The 12 Times Table Visually
  341.    wt: 2:   17 Derivatives of quotients of sine and cosine
  342.    wt: 2:   16 Derivatives of reciprocals of sine and cosine
  343.    wt: 2:   G.1 First Fundamental Theorem of Calculus
  344.    wt: 2:   G.3 Constant Difference Theorem Proof
  345.    wt: 2:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  346.    wt: 2:   Postscript B Mathematics Education References
  347.    wt: 2:   Chapter 9 The Two Ends
  348.    wt: 2:   Chapter 7 Two Treatments of Geometry
  349.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  350.    wt: 2:   Chapter 2 For and Against Mathematics
  351.    wt: 2:   Postscript D Reflections on Law of the Excluded Middle
  352.    wt: 2:   Appendix A Calculus with Proofs for Keen or Gifted
  353.    wt: 2:   Chapter 7 Calculus Previews and Calculus Lightly
  354.    wt: 2:   Mathematics Education References
  355.    wt: 2:   Mathematics Education References
  356.    wt: 2:   Multiple Ways to Improve Mathematics Skill Development
  357.    wt: 2:   More Algebra and Slope based Calculus Preview
  358.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  359.    wt: 2:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  360.    wt: 1:   Appendix 2 primary school Arithmetic 01
  361.    wt: 1:   K LAMP Musings Science Education
  362.    wt: 1:   J LAMP Introduction Extrinsic Origins
  363.    wt: 1:   I LAMP Introduction Study Habits
  364.    wt: 1:   H LAMP Introduction Instructional Concepts
  365.    wt: 1:   G LAMP Introduction Problem Solving Skills
  366.    wt: 1:   F LAMP Introduction Prerequisites
  367.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  368.    wt: 1:   A Introduction Objectives
  369.    wt: 1:   Skills Chapter 5 Calculus
  370.    wt: 1:   Skills Chapter 4 Logic
  371.    wt: 1:   Ramblings Introduction Algebra Essay
  372.    wt: 1:   Skills Chapter 3 Algebra
  373.    wt: 1:   Skills Chapter 2 Geometry
  374.    wt: 1:   Skills Chapter 1 Arithmetic
  375.    wt: 1:   Skills Chapter 0 Introduction
  376.    wt: 1:   10 statistics
  377.    wt: 1:   9 combinatorics probability sets
  378.    wt: 1:   8 analytic geometry etc
  379.    wt: 1:   6 polynomials etc
  380.    wt: 1:   5 logarithms and exponentials etc
  381.    wt: 1:   4 algebra
  382.    wt: 1:   3 Euclidean Geometry Leanly
  383.    wt: 1:   2 arithmetic with signed numbers
  384.    wt: 1:   1 arithmetic with unsigned numbers
  385.    wt: 1:   What is POMME
  386.    wt: 1:   which way to go
  387.    wt: 1:   three goals to set for students
  388.    wt: 1:   permissions for teachers
  389.    wt: 1:   Math Ed if it must be short make it lean effective
  390.    wt: 1:   Applied Maths Program14092009 POMME variant
  391.    wt: 1:   activities for students
  392.    wt: 1:   links Education Resources online
  393.    wt: 1:   site origins
  394.    wt: 1:   site eurekas
  395.    wt: 1:   teacher certification
  396.    wt: 1:   modern education
  397.    wt: 1:   learning takes time
  398.    wt: 1:   grouping students according to ability
  399.    wt: 1:   what should be learnt and When
  400.    wt: 1:   Postscript 2007 01 10
  401.    wt: 1:   Education Reform Inconsistencies
  402.    wt: 1:   five decades make a difference
  403.    wt: 1:   how letters appear
  404.    wt: 1:   three difficulties
  405.    wt: 1:   teaching tips
  406.    wt: 1:   What to Tell Students
  407.    wt: 1:   teaching tutoring algebraic reason
  408.    wt: 1:   Lessening Algebra Difficulties
  409.    wt: 1:   05 13 OldSiteEntrancePage
  410.    wt: 1:   02 21 words for teachers
  411.    wt: 1:   standards for course material
  412.    wt: 1:   cultivating intelligence
  413.    wt: 1:   Four ways to improve education reform
  414.    wt: 1:   How to be a better instructor
  415.    wt: 1:   Motivation and Context Problem
  416.    wt: 1:   Prequel In For A Penny In For A Pound
  417.    wt: 1:   education an empirical art
  418.    wt: 1:   fairness and inductive principles for instruction
  419.    wt: 1:   chapitre 07 01 principle D induction mathematique
  420.    wt: 1:   Quebec cahiers d apprentissage en mathematiques pour 4 16
  421.    wt: 1:   E Kirchoffs Second Law
  422.    wt: 1:   D Kirchoff First Law
  423.    wt: 1:   27 Graduated Correction and Penalties for Young Offenders
  424.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  425.    wt: 1:   22 Student Centered Highschool Mathematics
  426.    wt: 1:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  427.    wt: 1:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  428.    wt: 1:   18 Primary School Mathematics
  429.    wt: 1:   16 Secondary Mathematics Tips
  430.    wt: 1:   12 Goals and Objectives For Mathematics
  431.    wt: 1:   Ages 12 to 14 Skills with take home value
  432.    wt: 1:   Ages 12 to 14 Geometry
  433.    wt: 1:   Ages 12 to 14 Arithmetic
  434.    wt: 1:   Ages 10 to 12 Geometry
  435.    wt: 1:   Ages 10 to 12 Arithmetic
  436.    wt: 1:   Ages 9 to 10
  437.    wt: 1:   Ages 8 to 9
  438.    wt: 1:   Ages 7 to 8
  439.    wt: 1:   Ages 6 to 7
  440.    wt: 1:   Ages 4 plus to 5 plus
  441.    wt: 1:   Ages 3 plus to 4 plus
  442.    wt: 1:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  443.    wt: 1:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  444.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  445.    wt: 1:   17 Function maxima minima and their location
  446.    wt: 1:   15 Sign analysis of functions
  447.    wt: 1:   9 Set theory term relation possible origins
  448.    wt: 1:   5 Function notation for geometric transformations
  449.    wt: 1:   4 Function notation in and beyond mathematics
  450.    wt: 1:   2 Algebraic use of function notation
  451.    wt: 1:   A Quadratics Summary
  452.    wt: 1:   10 quadratic exercises
  453.    wt: 1:   7 quadratic formulla derivation
  454.    wt: 1:   6 quadratics numerical approach
  455.    wt: 1:   3 quadratics factoring by inspection
  456.    wt: 1:   2 quadratics graphing in general
  457.    wt: 1:   1 quadratics graphing exercises
  458.    wt: 1:   Quadratics in 10 steps
  459.    wt: 1:   A Signed Number Arithmetic Review
  460.    wt: 1:   22 Multiplication of Signed Numbers
  461.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  462.    wt: 1:   18 Geometrically Why Vector Addition Commutes
  463.    wt: 1:   16 Collinear Horizontal Arrows Vectors
  464.    wt: 1:   13 Arrows and Vectors in a Plane
  465.    wt: 1:   8 Division and Mulplication of Compound Fractions
  466.    wt: 1:   4 Location of Point in Decimal Addition
  467.    wt: 1:   3 Location of Point in Decimal Multiplication
  468.    wt: 1:   E Long Division Methods more
  469.    wt: 1:   D Long Division Methods
  470.    wt: 1:   C Three Decimal Subtraction Methods
  471.    wt: 1:   B Decimal Comparison and Subtraction
  472.    wt: 1:   A Decimal Addition Columm Methods
  473.    wt: 1:   8 Column Multiplication Methods in General
  474.    wt: 1:   7 Decimals Multiplication Methods Examples
  475.    wt: 1:   6 Column Methods for Decimal Multiplication
  476.    wt: 1:   5 Distributive Law for Whole Numbers
  477.    wt: 1:   4 Commutative Law Groups Counting Form
  478.    wt: 1:   3 Multiplicative Counting Skills Principles
  479.    wt: 1:   2 Combing Counts Addition Skills and Principles
  480.    wt: 1:   4 Fraction Operations Axiomatic Development
  481.    wt: 1:   3 Inequalities Algebraically
  482.    wt: 1:   2 Fraction Operations Physical Development
  483.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  484.    wt: 1:   2 Algebraic View
  485.    wt: 1:   9 Circle Area and Perimeter Formula Backwards Forwards
  486.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  487.    wt: 1:   6 Compound Interest Forward and Backwards
  488.    wt: 1:   4 Rectangle Area and Like Formulas Backwards
  489.    wt: 1:   3 Linear Equation Literal Solution More
  490.    wt: 1:   2 Linear Equation Literal Solution
  491.    wt: 1:   1 Changing Calculations
  492.    wt: 1:   4 Comparison of Negative Numbers
  493.    wt: 1:   8 Coordinates for Maps and Planes
  494.    wt: 1:   3 Geometric Formulas and Function Notation
  495.    wt: 1:   11 Volume of Sphere
  496.    wt: 1:   10 Volume of Pyramid
  497.    wt: 1:   9 Volume of Cone
  498.    wt: 1:   3 Triangle Area Formula Example
  499.    wt: 1:   2 Another Rectangle Area Formula Example
  500.    wt: 1:   8 Sets of Numbers
  501.    wt: 1:   6 Three Notions of What is a Variable
  502.    wt: 1:   4 A Brief Story of numbers and algebra
  503.    wt: 1:   arithmetic videos Real Player Format
  504.    wt: 1:   5 Square Roots with primes more still
  505.    wt: 1:   4 Square Roots with primes more
  506.    wt: 1:   2 Square Roots with Prime
  507.    wt: 1:   1 Squares and Square Roots Introduction
  508.    wt: 1:   13 GCD from given Prime Factorization
  509.    wt: 1:   11 GCD 2700 288 via Euclid Algorithm
  510.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  511.    wt: 1:   8 GCD from Euclidean Algorithm
  512.    wt: 1:   7 GCD and LCM from prime factorization
  513.    wt: 1:   6 GCD from Prime
  514.    wt: 1:   5 Common Divisors 60 45 via Prime
  515.    wt: 1:   LCM 60 45 Avoid List Method Use Prime
  516.    wt: 1:   2 Least Common Multiple LCM intro via list method
  517.    wt: 1:   1 Least Common Multiples LCM Introduction
  518.    wt: 1:   12 GCD 2700 288 via Prime
  519.    wt: 1:   5 Counting with Tables Trees Product Rule Take II
  520.    wt: 1:   4 Counting with Trees Product Rule Take I
  521.    wt: 1:   3 Counting with Tables and Trees II
  522.    wt: 1:   2 Counting with Tables and Trees I
  523.    wt: 1:   1 Counting and Counting Methods I
  524.    wt: 1:   11 What are real lengths and numbers
  525.    wt: 1:   10 dividing signed numbers
  526.    wt: 1:   9 subtracting signed numbers
  527.    wt: 1:   8 multiplying signed numbers
  528.    wt: 1:   7 negative and additive inverse
  529.    wt: 1:   6 adding signed numbers
  530.    wt: 1:   4 signed coordinates for regions in space
  531.    wt: 1:   2 signed and unsigned numbers as coordinates
  532.    wt: 1:   7 Converting or Changing Units
  533.    wt: 1:   5 Reciprocals and Division for Fractions with Units
  534.    wt: 1:   4 Fractions with Units
  535.    wt: 1:   3 Multiplying Units and Numbers
  536.    wt: 1:   2 Equality and Units
  537.    wt: 1:   1 Addition and Subtraction with Units
  538.    wt: 1:   D Three Term Ratios
  539.    wt: 1:   C Equality for Fractions and Two Term Ratios and Fractions
  540.    wt: 1:   B Fractions and Two Term Ratios
  541.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  542.    wt: 1:   22 Complex Compound Fractions
  543.    wt: 1:   21 Working With Signs
  544.    wt: 1:   21 Reciprocals for Fractions and Wholes
  545.    wt: 1:   19 Dividing Fractions How TO
  546.    wt: 1:   18 Efficient Ways to Multiply
  547.    wt: 1:   17 Efficient Ways to Add and Subtract
  548.    wt: 1:   16 Addition Subtraction Comparision Compared
  549.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  550.    wt: 1:   14 Adding and Subtracting with Like Denominators
  551.    wt: 1:   12 Fraction Comparison
  552.    wt: 1:   9 Improper Fractions and Mixed Numbers
  553.    wt: 1:   8 Numerals Fractionals Quantals Take II
  554.    wt: 1:   7 Numerals Fractionals Quantals
  555.    wt: 1:   6 Multiplication Algebraically Take II
  556.    wt: 1:   5 Equivalent Fractions
  557.    wt: 1:   4 Fraction Multiplication
  558.    wt: 1:   2 Unit Fraction Multiplication
  559.    wt: 1:   1 What is a fraction Take II
  560.    wt: 1:   1 What is a fraction
  561.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  562.    wt: 1:   D Remainders Modulo 11 Pair Rule
  563.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  564.    wt: 1:   B Integer Long Division Multiple Choices
  565.    wt: 1:   13 Subtraction with Additive Inverse
  566.    wt: 1:   12 Adding Integers More Examples
  567.    wt: 1:   11 Adding Integers Formulas and Examples
  568.    wt: 1:   10 Integer Multiplication Formulas
  569.    wt: 1:   9 Multiplying Integers
  570.    wt: 1:   8 Multiplication by Signed Numbers Integers
  571.    wt: 1:   7 Multiplication by Signs
  572.    wt: 1:   6 Multiplication by Natural Numbers
  573.    wt: 1:   5 Zero Movement and Additive Inverses
  574.    wt: 1:   4 Adding Movements wiht opposite directions
  575.    wt: 1:   3 Adding Movements with same direction
  576.    wt: 1:   1 Integers as Coordinates
  577.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  578.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  579.    wt: 1:   26 Divisibility by 2 3 5 Example
  580.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  581.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  582.    wt: 1:   23 Remainder Arithmetic Modulo 2
  583.    wt: 1:   22 Remainder Arithmetic Modulo 3 more
  584.    wt: 1:   21 Remainder Arithmetic Modulo 3
  585.    wt: 1:   16 Remainder Arithmetic Modulo 9 Example 2
  586.    wt: 1:   15 Remainder Arithmetic Modulo 9 Example
  587.    wt: 1:   14 Remainder Arithmetic Modulo 9 Example
  588.    wt: 1:   13 Remainder Arithmetic Modulo 5 Example
  589.    wt: 1:   12 Remainder Arithmetic Modulo 10 Example
  590.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  591.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  592.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  593.    wt: 1:   8 Remainder Arithmetic Morulo 5 Examples II
  594.    wt: 1:   7 Remainder Arithmetic Modulo 5 Examples I
  595.    wt: 1:   6 Remainder Arithmetic Modulo 5 Propertie
  596.    wt: 1:   5 Remainder Arithmetic Modulo 5
  597.    wt: 1:   4 Remainder Arithmetic Modulo 10 in general
  598.    wt: 1:   3 Remainder Arithmetic Modulos 10 more still
  599.    wt: 1:   2 Remainder Arithmetic Modulo 10 more
  600.    wt: 1:   1 Remainder Arithmetic Modulo 10
  601.    wt: 1:   19 video Prime Factorization Unique
  602.    wt: 1:   18 video Count Factors given Prime Factorization
  603.    wt: 1:   17 Identify and Count Factors using Primes
  604.    wt: 1:   12 LCD GCD and LCM using Primes
  605.    wt: 1:   11 Efficient Square Rule Use
  606.    wt: 1:   10 video Prime Factorization upto 23 squared
  607.    wt: 1:   9 video Prime Factorization upto 19 squared
  608.    wt: 1:   8 video Prime Factorization upto 19
  609.    wt: 1:   7 Calculator Usage Notes and Cautions
  610.    wt: 1:   5 Prime Factorization and a Square Rule
  611.    wt: 1:   4 video Prime Factorization Introduction
  612.    wt: 1:   3 video Primes and Composites from 9 times table
  613.    wt: 1:   2 Prime and Composites less than 16
  614.    wt: 1:   1 video how Products are bigger than factor
  615.    wt: 1:   Long Division Backwards more
  616.    wt: 1:   Long Division Backward
  617.    wt: 1:   Division with Counts and Length
  618.    wt: 1:   Long Division forwards and backwards Example 3
  619.    wt: 1:   Long Division forwards and backwards Example 2
  620.    wt: 1:   Long Division forwards and backwards Example 1
  621.    wt: 1:   12 Why Long Division Works Take III
  622.    wt: 1:   10 Division by Five Long and Short Ways
  623.    wt: 1:   9 Why Long Division Works Take II
  624.    wt: 1:   7 Long Divison Mistake Catching
  625.    wt: 1:   6 Why Decimal Long Division Methods Works Take I
  626.    wt: 1:   5 Long Division Include Zeroes or not
  627.    wt: 1:   4 Division with 2 Digit Divsors
  628.    wt: 1:   3 Division Single Digit Divisor Example
  629.    wt: 1:   2 Division with Single Digit Divisors
  630.    wt: 1:   1 Divsion Physical Examples
  631.    wt: 1:   D Decimal Multiplication Methods Derived
  632.    wt: 1:   A Elementary Basis for Multiplication Methods
  633.    wt: 1:   6 Multiplication Commutes Order Not Important
  634.    wt: 1:   5 Decimal Fraction Multiplication
  635.    wt: 1:   4 Two and Three Digit Multipliers
  636.    wt: 1:   3 More One Digit Multipliers
  637.    wt: 1:   2 One Digit Multipliers
  638.    wt: 1:   Video Power Notation in Decimal Expansion
  639.    wt: 1:   1 Why 3 times 5 gives 15
  640.    wt: 1:   Appendix 2 Three Decimal Subtraction Methods
  641.    wt: 1:   Appendix 1 Decimals Comparison Method Take II
  642.    wt: 1:   Subtraction with J Conversions Example
  643.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  644.    wt: 1:   6 Subtraction with Conversion Example with Exercises
  645.    wt: 1:   5 A Tip for Efficent Subtraction
  646.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  647.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  648.    wt: 1:   2 Subtraction Easy Case Examples
  649.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  650.    wt: 1:   Appendix 1 Counting Revisited 15 minute video
  651.    wt: 1:   8 What skills and work habits to require
  652.    wt: 1:   7 Adding decimal fractions using decimal point
  653.    wt: 1:   6. Counting and adding units and mixed units
  654.    wt: 1:   5. How to add decimals C. Examples
  655.    wt: 1:   4. How to add with decimals B with conversions
  656.    wt: 1:   3. How to add with decimals A sans conversions
  657.    wt: 1:   2 Decimal Counting Practices
  658.    wt: 1:   1. Explaining Addition Table
  659.    wt: 1:   11 Place Value SI Standard International way
  660.    wt: 1:   1 Place Value in Three Digit Whole Numbers
  661.    wt: 1:   Exact Arithmetic Wholes and Fractions
  662.    wt: 1:   Formula Evaluation how to show work
  663.    wt: 1:   Expression Evaluation how to show work
  664.    wt: 1:   Practical Methods Ends and Values for Arithmetic
  665.    wt: 1:   About folder contents
  666.    wt: 1:   012 Division of Time Intervals by Time Intervals
  667.    wt: 1:   011 Division of Time Intervals By Numbers
  668.    wt: 1:   010 Repeated Addition of Time Intervals
  669.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  670.    wt: 1:   8 Addition of Time Intervals via subtotaling
  671.    wt: 1:   7 Addition of Time Intervals
  672.    wt: 1:   4 Mixing and Changing Units of Time
  673.    wt: 1:   3 Units and Lengths of Time
  674.    wt: 1:   1 Intro of Kids To Time Date Skills
  675.    wt: 1:   Example 2 volume of a cone
  676.    wt: 1:   Example 1 volume of a pyramid
  677.    wt: 1:   Volume of Solid by Cross Sections Lesson
  678.    wt: 1:   Example 4 with x function of y
  679.    wt: 1:   34 Derivative of exponential function
  680.    wt: 1:   31 Derivatives of inverse functions
  681.    wt: 1:   30Chain Rule A Proof
  682.    wt: 1:   28 Chain Rule Preparation for a Proof
  683.    wt: 1:   8 Differentiation of polynomials
  684.    wt: 1:   5 Jumps and absence of unlimited error control
  685.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  686.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  687.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  688.    wt: 1:   F.5b Extreme Value Theorem
  689.    wt: 1:   F.5a Equicontinuity Theorems
  690.    wt: 1:   F.4 Finite Covering Theorem
  691.    wt: 1:   F.3 Intermediate Value Theorem
  692.    wt: 1:   F.2 Closed Range Theorem
  693.    wt: 1:   E2 Algebraic Properties of Limits
  694.    wt: 1:   D2 Limits of Monotone Sequences
  695.    wt: 1:   C Triangle Inequalities
  696.    wt: 1:   B3 Bolzano Weierstrass Theorem
  697.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  698.    wt: 1:   Chapter 23 Links To Trigonometry
  699.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  700.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  701.    wt: 1:   Appendix E. How To Study Mathematics and Why
  702.    wt: 1:   Chapter 25. Mathematical Induction Examples
  703.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  704.    wt: 1:   Chapter 16. Painless Theorem Proving
  705.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  706.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  707.    wt: 1:   Chapter 6 Change of Language
  708.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  709.    wt: 1:   Chapter 4 Longer Chains of Reason
  710.    wt: 1:   Chapter 3 Chains of Reason
  711.    wt: 1:   Annotated Links to Material Elsehwere
  712.    wt: 1:   Postscript A Three Remarks
  713.    wt: 1:   Chapter 12 Four Phases
  714.    wt: 1:   Chapter 11 Elementary Instruction
  715.    wt: 1:   Chapter 10 Transition
  716.    wt: 1:   Chapter 8 Modern Instruction
  717.    wt: 1:   Chapter 5 Four References
  718.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  719.    wt: 1:   Chapter 3 Algebra Difficulties
  720.    wt: 1:   Chapter 1 Introduction
  721.    wt: 1:   Foreword
  722.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  723.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  724.    wt: 1:   Chapter 12 Islands and Divisions of Knowledge
  725.    wt: 1:   Chapter 8 Change of Language
  726.    wt: 1:   Chapter 7 Longer Chains of Reason
  727.    wt: 1:   Chapter 6 Chains of Reason
  728.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  729.    wt: 1:   R Why Learn Mathematics Skills
  730.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  731.    wt: 1:   O On Learning Mathematics and Science
  732.    wt: 1:   N Mathematics Prepare for College Studies
  733.    wt: 1:   F. The student teacher tutor feedback loop
  734.    wt: 1:   C. Domino effect of being careful
  735.    wt: 1:   B. Domino effect of errors
  736.    wt: 1:   Chapter 8 Skipped Topics and Why
  737.    wt: 1:   Chapter 6 More Algebra and Geometry
  738.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  739.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  740.    wt: 1:   Chapter 3 Algebra Starter Lessons
  741.    wt: 1:   Chapter 2 Why Sets
  742.    wt: 1:   Chapter 1 Arithmetic
  743.    wt: 1:   Primary and Secondary Skills and Practices with Take Home Value
  744.    wt: 1:   7 Games and Activities for Instruction
  745.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  746.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  747.    wt: 1:   2 Identifying Size and Position Place and Spatial Sense
  748.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  749.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  750.    wt: 1:   Ends Values Methods For Skill Development Framework Prequel
  751.    wt: 1:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  752.    wt: 1:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  753.    wt: 1:   Implementation Notes
  754.    wt: 1:   Systematic Algebra Skill Development Missing Links
  755.    wt: 1:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  756.    wt: 1:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  757.    wt: 1:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  758.    wt: 1:   Which Way To Go
  759.    wt: 1:   The Math Forum and Site Content
  760.    wt: 1:   Site Reviews
Secondary Mathematics for Ages 11+, A Practical Approach for home-tutoring or -schooling, or for schools & colleges with local curriculum control. Study how to include site content - its skill development how-TOs and innovations into present or future lesson plans - some reading required.

Road Safety Messages and Questions: When and why should you face traffic when walking along a road or cycle path? Is it a good idea to hang limbs outside of cars etc? What gives more protection in a crash: a car, motorbike or bicycle? See too, the BBC-Belgium story Texting and Driving - texting & the impossible test - the article links to a gruesome utube video on the subject

The Logic of Injustice: How Texas sent an innocent man to his death - The wrong Carlos. Some judgments are irreversible. Procescution: Where and when prosectors play to win rather than for justice, guilt beyond a reasonable doubt goes unrespected due to prosecutors who putting winning first, those innocence before the law may be convicted. Some procescutors offices in continuing to accuse after a pardon due to reasonable doubt or innocent being shown, may sucessfully oppose compensaton for false convictions by asserting a pardon individual is still under suspicion. Then the pardoned individual or the latter's estate is not compensation for years or decade of improper or false imprisonment, or for execution. Site chapters on Logic
and some in Pattern Based Reason may slowly lead to greater precision in reading, applying and writing laws.

May 2012, Composition Starting: Pre-School and Primary Mathematics - Quantitative Skills, An Intellectual View, Feedback Welcome:

The 8 Most Popular Site Inlinks

20 Times Table - the most popular site page - popular pages - unexpected.
Fractions & Ratios - with lesson on raising terms to introduce & justify times, division & comparison as well addition & subtraction
Parent Center - See below
Volume 1, Elements of Reason - Intro to all site books.
What is a Variable - best for ages 13+
Written work formats for Arithmetic and Algebra - a skill method and standard!
Complex Numbers Visually - best for ages 13+
Natural Logs, Exponentials, Powers, Roots

Division of Labour: This site offers advice and directions with pointers to resources elsewhere, if known, when they help or lessen the need to write more.

Parent Center: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills. Other booklets are available but these booklets allow parents unsure of themselves in mathematics to help their children. The selection acquired in Canada is published in the USA. So it has a US orientation. In retrospect, the selection shows parents what to check with the booklets or by other ways, the choice is theirs. But in retrospect, the selection does not cover integral and fractions liquid weights and measures - ask the publishers to correct that! For ages 9 to 12 say, parents may compensate by showing boys and girls how to use weights or mass, and further measures in food preparation. Beyond that children may be shown how to measure and calculate angles, lengths and areas [proportional amounts too] directly or by using maps and plans drawns to scale. Learning how to gather and measure all the ingredients, pots and pans for a dish or a meal, along with cleaning up sets the stage for like activities or experiments in science courses, and in developing organizational skills, gives boys and girls a head start. Good luck. At the other extreme, more comprehensive than light, if your motto is McCainian: drill, drill, drill then Toronto mathematician and actor John Mighton's jump math organization has jump math workbooks for at least grades 3 to 8 for at-home and in-school use - training sessions for teachers available. Jump math has been expanding to cover older students. Jump Math Samples: plus Fractions for Grades 3-4 & Grades 5-6 [Read] Free Resources grades 1 to 8 [unread - likely to be good]. and

Mathematics Skills For Ages 3 to 14 - technical!

Skills with take home value - A few ideas

Basic skills include time-date-calendar Matters; money matters; map, plan and scale diagram matters;counting, measuring and figuring; decision making with logic and likelyhood; being careful and being aware of the domino effect of mistakes; reading and writing with precision.

Is your child able to add, subtract and multiply amounts of money, work with fractions, work with clocks and calendars, work with maps and plans, and measure length, weight-mass and volume? Schools may promote your son or daughter without providing basic skills in reading, writing and arithmetic.

Arithmetic and Number Theory Skills

Algebra Starter Lessons

1 Working With Sets
2 Formula Forward Use - Evaluation
3 Solving Linear Equations - Skip first step with students able to solve 1 eqn in 1 unknown.
4 Computation Rules and Function Notation
5 Real Numbers
6 More Less Greater Than Inequalities and Comparison
7 Axioms Logic and Equivalent Equations
8 Unifying Theme For Algebra
9 Proportionality Backwards and Forwards
10 Examples of Algebraic Reasoning
A Origins of Counting and Figuring Methods
B Real Numbers Extrinsic Development


Site coverage of formuala evaluation format, of computation rules and axioms, and of the forward and backward use of formulas and proportionality relations lessens the amount of natural talent needed to understand and explain algebra.

Geometry - maps plans trigonometry vectors

1 Maps Plans Measurement
2 Euclidean Geometry - Constructions + extras
3 Cartesian and Polar Coordinates
4 Lines and Slopes Take 1
5 What is Similarity
6 Trigonometry first steps
7 Complex Numbers
8 Unit-Circle Trigonometry
9 Lines and Slopes Take 2 with tangent function
10 Intersecting Straight Lines and Transversals
11 Parallel Straight Lines and Transversals
12 Function Translating and Rescaling
13 Vectors
14 Degrees to Radians and Radians to Degrees
15 Arc or Inverse Trigonometric Function

Pre-Teen and young teen mastery of skills and practices which should be common with map-plans-diagrams drawn to scale, contour interpretation included, has actual or potential take-home value for daily- and adult-life in solving routine problems. Elevating some practices to principles, axioms or postualates, provides a base for analytic and Euclidean geometry, an analytic view of similarity, and an efficient mastery of trigonometry and complex numbers. Right triangle trigonometry provide an analytic alternative to solving geometric problems by drawing diagrams to scale.

More Algebra

Natural-Logarithms Exponentials Powers Roots
Five Polynomial Operations
Quadratics Geometrically
Functions
5 Factored Polynomial Sign Analysis Examples
Rewriting algebraic substitution as function substitutions

The first topic leads to a full high school level theory for the forward and backward mastery of growth and decay models and for definition, range and domains of radicals, roots and powers. The next two topics make quadratics and polynomials easier to learn and teach. Site coverage of functions turns vertical and horizontal line rules into computation methods for evaluating functions.

70 Calculus Starter Lessons

Calculus Lessons Elsewhere:

  1. How to Ace Calculus: Street Wise Guide - Mostly Text.

  2. Flash Video for Calculus Phobics

They cover basic topics in ways likely to complement your notes, your textbooks and site material. When Goldilocks trespassed in the house of the three bears, she found three bowls of porridge, two not to her liking, and one just right. Different bears have different tastes. As invited guest here and elsewhere, if one or more explanations is not to liking, try another. It may be better or just right.

Unsolicited Advice

Learning to do and high marks if it comes to easy is often deceptive - light rather than deep. For that reason, students with learning difficulties determined not to let it get in their way may go deeper and farther than those with none. High marks, if the come easy, may be deceptive - provide a too light and not a deep mastery. That could have been your problem in secondary school, one that leads to comprehension shock or difficulties in calculus and more generally in the first year of college. Bon Appetite.

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Logic-Reason for all
Careful Thinking
Chains of Reason
Mathematical Induction
Responsibility
Bodies-of-Knowledge

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

Geometry
1 Maps + Plans Use
2 Euclidean Geometry
3 Rct +Polr Coordinates
4 Lines-Slopes [I]
5. What is Similarity 		Algebra Starters - the base
1. Better Work Format
2. Solve Linear Eqns
3. Computation Rules
4. Axioms, Item 3 Viewpnt
5. Formulas Backwards 		More Algebra
Logarithms-ax & m/nth roots
Five Polynomial Operations
Quadratics Geometrically
Functions || Vectors too
Arith. Skill Check+Answers 		Calculus Prep/Preview
What is a Variable
Why study slopes
Why factor polynomials
Complex Numbers
Limits + Continuity

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