Appetizers and Lessons for Mathematics & Reason Français: 26 pages
A 1100+ page site with math-free logic chapters and wordy algebra chapters.
For comprehension, study site chapters and steps. Go beyond rote learning.

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.

Site Review: Mathphobics, this site may ease your fears of the subject, perhaps even help you njoy it. ... unintimidating, sometimes funny and very clear. ... . Read all. Continue with Volume 2, Three Skill for Algebra.

Site Review. Math resources ... span ... arithmetic, logic, algebra, calculus, complex numbers, and Euclidean geometry. Lessons and how-tos .... provide a good foundation ... Read all. See site books as well.

Teachers & Tutors: Site material uniquely explains common troubles in terms of steps too large or missing. Plus, this December 2011, 5-phase framework offers a context for mathematics & logic education. Phases 1 to 3 may focus on skills with actual or potential local 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.

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  1.    wt: 4:   Mathematics Education Essays/
  2.    wt: 2:   Progressive Observable Motivated Mathematics Education/
  3.    wt: 2:   6 Trigonometry first steps/
  4.    wt: 2:   1 Maps Plans Measurement/
  5.    wt: 1:   LAMP Lean Applied Mathematics Program/
  6.    wt: 1:   Archives/
  7.    wt: 1:   15 Arc or Inverse Trigonometric Function/
  8.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  9.    wt: 1:   13 Vectors/
  10.    wt: 1:   12 Function Translating and Rescaling/
  11.    wt: 1:   11 Parallel Straight Lines and Transversals/
  12.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  13.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  14.    wt: 1:   8 Unit Circle Trigonometry/
  15.    wt: 1:   7 Complex Numbers/
  16.    wt: 1:   5 What is Similarity/
  17.    wt: 1:   4 Lines and Slopes Take 1/
  18.    wt: 1:   3 Cartesian and Polar Coordinates/
  19.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  20.    wt: 1:   Geometry maps plans trigonometry vectors/
  21.    wt: 1:   Work and Study Tips/

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43 matches:

  1.    wt: 1:   K LAMP Musings Science Education
  2.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  3.    wt: 1:   links Education Resources online
  4.    wt: 1:   Mathematics Education Professors
  5.    wt: 1:   modern education
  6.    wt: 1:   Education Reform Inconsistencies
  7.    wt: 1:   Maps Plans Drawings
  8.    wt: 1:   teaching tips
  9.    wt: 1:   three goals for Mathematics Education
  10.    wt: 1:   02 20 mathematics education references
  11.    wt: 1:   Education in mathematics science and technology
  12.    wt: 1:   Four ways to improve education reform
  13.    wt: 1:   education an empirical art
  14.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  15.    wt: 1:   16 Secondary Mathematics Tips
  16.    wt: 1:   11 Help and Defend Your Child or Teens Education
  17.    wt: 1:   Quadratics in 10 steps
  18.    wt: 1:   PS H Distributive Law For Complex Numbers
  19.    wt: 1:   PS G Rotation Distributes over Addition
  20.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  21.    wt: 1:   PS E Multiplication with Polar Coordinates
  22.    wt: 1:   PS D Addition with Cartesian Coordinates
  23.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  24.    wt: 1:   PS B Parallelogram Construction Methods
  25.    wt: 1:   PS A Kite Construction Methods
  26.    wt: 1:   8 More Use of Maps Not Drawn to Scale
  27.    wt: 1:   6 Figuring with Maps Not to Scale
  28.    wt: 1:   4 Angles on Maps Plans drawn to scale
  29.    wt: 1:   3 Lengths and Areas on Maps and Plans
  30.    wt: 1:   4 Commutative Law Groups Counting Form
  31.    wt: 1:   8 Coordinates for Maps and Planes
  32.    wt: 1:   3 signed coordinates for maps and planes
  33.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  34.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  35.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  36.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  37.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  38.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  39.    wt: 1:   5 Jumps and absence of unlimited error control
  40.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  41.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  42.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  43.    wt: 1:   Postscript B Mathematics Education References

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367 matches:

  1.    wt: 5:   links Education Resources online
  2.    wt: 5:   Mathematics Education Professors
  3.    wt: 5:   modern education
  4.    wt: 5:   Education Reform Inconsistencies
  5.    wt: 5:   Maps Plans Drawings
  6.    wt: 5:   teaching tips
  7.    wt: 5:   three goals for Mathematics Education
  8.    wt: 5:   02 20 mathematics education references
  9.    wt: 5:   Education in mathematics science and technology
  10.    wt: 5:   Four ways to improve education reform
  11.    wt: 5:   education an empirical art
  12.    wt: 4:   why bother
  13.    wt: 4:   which way to go
  14.    wt: 4:   website reviews
  15.    wt: 4:   three goals to set for students
  16.    wt: 4:   Teach the teachers plus goals
  17.    wt: 4:   permissions for teachers
  18.    wt: 4:   Math Ed if it must be short make it lean effective
  19.    wt: 4:   Applied Maths Program14092009 POMME variant
  20.    wt: 4:   activities for students
  21.    wt: 4:   site origins
  22.    wt: 4:   site eurekas
  23.    wt: 4:   About site lesson plans
  24.    wt: 4:   key notes and themes
  25.    wt: 4:   teacher certification
  26.    wt: 4:   learning takes time
  27.    wt: 4:   grouping students according to ability
  28.    wt: 4:   what should be learnt and When
  29.    wt: 4:   mathematics in context
  30.    wt: 4:   Postscript 2007 01 10
  31.    wt: 4:   five decades make a difference
  32.    wt: 4:   how letters appear
  33.    wt: 4:   Secondary Three Mathematics
  34.    wt: 4:   Secondary Two Mathematics
  35.    wt: 4:   Secondary One Mathematics
  36.    wt: 4:   talk the algebra talk
  37.    wt: 4:   three difficulties
  38.    wt: 4:   What to Tell Students
  39.    wt: 4:   mathematics curriculum shifts
  40.    wt: 4:   geometric implications for algebra
  41.    wt: 4:   teaching tutoring algebraic reason
  42.    wt: 4:   Lessening Algebra Difficulties
  43.    wt: 4:   the trouble with algebra
  44.    wt: 4:   05 13 OldSiteEntrancePage
  45.    wt: 4:   04 29 New Mathematics Curriculum
  46.    wt: 4:   04 25 when to stop or suspend mathemat
  47.    wt: 4:   02 21 words for teachers
  48.    wt: 4:   three aims for mathematics students
  49.    wt: 4:   standards for course material
  50.    wt: 4:   Operational Viewpoint to Value
  51.    wt: 4:   formal or informal peer review
  52.    wt: 4:   Theory of Knowledge
  53.    wt: 4:   mathematics instruction in general
  54.    wt: 4:   Different Kinds of Reasoning in maths
  55.    wt: 4:   three kinds of reason in mathematics
  56.    wt: 4:   cultivating intelligence
  57.    wt: 4:   How to be a better instructor
  58.    wt: 4:   Motivation and Context Problem
  59.    wt: 4:   need for a mixed mathematics curriculum
  60.    wt: 4:   Leaner mathematics curriculum
  61.    wt: 4:   Prequel In For A Penny In For A Pound
  62.    wt: 4:   fairness and inductive principles for instruction
  63.    wt: 4:   words for mathematics instructor
  64.    wt: 3:   8 More Use of Maps Not Drawn to Scale
  65.    wt: 3:   6 Figuring with Maps Not to Scale
  66.    wt: 3:   4 Angles on Maps Plans drawn to scale
  67.    wt: 3:   3 Lengths and Areas on Maps and Plans
  68.    wt: 2:   K LAMP Musings Science Education
  69.    wt: 2:   C LAMP Introduction Culture in Mathematics Education
  70.    wt: 2:   11 pure mathematics
  71.    wt: 2:   10 statistics
  72.    wt: 2:   9 combinatorics probability sets
  73.    wt: 2:   8 analytic geometry etc
  74.    wt: 2:   7 logic review and decimals an odd combination
  75.    wt: 2:   6 polynomials etc
  76.    wt: 2:   5 logarithms and exponentials etc
  77.    wt: 2:   4 algebra
  78.    wt: 2:   3 Euclidean Geometry Leanly
  79.    wt: 2:   2 arithmetic with signed numbers
  80.    wt: 2:   1 arithmetic with unsigned numbers
  81.    wt: 2:   What is POMME
  82.    wt: 2:   8 Triangles Cascade Problem Solving
  83.    wt: 2:   7 Trignometric Ratios Unit Circle
  84.    wt: 2:   6 Trigonometry Sines of Supplementary Angles
  85.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  86.    wt: 2:   4 Trigonometric Ratios For Two Special Triangles
  87.    wt: 2:   3 Trigonometric Ratios sine and cosine
  88.    wt: 2:   2 Similar Triangles Equality of Corresponding Side Ratios
  89.    wt: 2:   1 Angle Measurement with Degrees
  90.    wt: 2:   Why Trigonometry the whyslopes view
  91.    wt: 2:   Right Triangle and Unit Circle Trigonometry
  92.    wt: 2:   PS H Distributive Law For Complex Numbers
  93.    wt: 2:   PS G Rotation Distributes over Addition
  94.    wt: 2:   PS F Scalar Multiplication Distributes over Addition
  95.    wt: 2:   PS E Multiplication with Polar Coordinates
  96.    wt: 2:   PS D Addition with Cartesian Coordinates
  97.    wt: 2:   PS C Similarity Use Recognize it in Trigonometry
  98.    wt: 2:   PS B Parallelogram Construction Methods
  99.    wt: 2:   PS A Kite Construction Methods
  100.    wt: 2:   A Measurement with Ruler Proper Use
  101.    wt: 2:   5 Drawing to Scale Avoids Angle Distortions
  102.    wt: 2:   2 Measuring Area Directly
  103.    wt: 2:   1 Length Measurement
  104.    wt: 1:   Appendix 2 primary school Arithmetic 01
  105.    wt: 1:   Appendix 1 primary and preschool mathematic
  106.    wt: 1:   J LAMP Introduction Extrinsic Origins
  107.    wt: 1:   I LAMP Introduction Study Habits
  108.    wt: 1:   H LAMP Introduction Instructional Concepts
  109.    wt: 1:   G LAMP Introduction Problem Solving Skills
  110.    wt: 1:   F LAMP Introduction Prerequisites
  111.    wt: 1:   E LAMP Introduction Modern Mathematics
  112.    wt: 1:   B LAMP Introduction Curriculum Development Standards
  113.    wt: 1:   A Introduction Objectives
  114.    wt: 1:   Skills Chapter 5 Calculus
  115.    wt: 1:   Skills Chapter 4 Logic
  116.    wt: 1:   Ramblings Extrinsic numbers theory
  117.    wt: 1:   Ramblings Introduction Algebra Essay
  118.    wt: 1:   Skills Chapter 3 Algebra
  119.    wt: 1:   Skills Chapter 2 Geometry
  120.    wt: 1:   Skills Chapter 1 Arithmetic
  121.    wt: 1:   Skills Chapter 0 Introduction
  122.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  123.    wt: 1:   16 Secondary Mathematics Tips
  124.    wt: 1:   11 Help and Defend Your Child or Teens Education
  125.    wt: 1:   Quadratics in 10 steps
  126.    wt: 1:   16 cotangent function Definition Graph and Inverse
  127.    wt: 1:   15 cosecant function Definition Graph and Inverse
  128.    wt: 1:   14 secant function Definition Graph and Inverse
  129.    wt: 1:   13 cosecant function Definition Graph and Inverse
  130.    wt: 1:   12 motivation for term arctan
  131.    wt: 1:   11 arctan left inverse of tangent Graph
  132.    wt: 1:   10 arctan left inverse of tangent Definition
  133.    wt: 1:   9 motivation for name arcsin
  134.    wt: 1:   8 arcsin left inverse of sine Graph
  135.    wt: 1:   7 arcsin left inverse of sine Definition
  136.    wt: 1:   6 Graph of arccos function
  137.    wt: 1:   5 Swapping Coordinates is a reflection
  138.    wt: 1:   4 possible motivation for term arccos
  139.    wt: 1:   3 Left Inverse of cosine arccos definition
  140.    wt: 1:   2 cosine function more properties
  141.    wt: 1:   1 cosine function properties
  142.    wt: 1:   9 Summary Degrees to Radians and back
  143.    wt: 1:   8 Radian Measures of Common Angles
  144.    wt: 1:   7 Radian Measures in special Triangles
  145.    wt: 1:   6 Radian Measure to Degrees
  146.    wt: 1:   5 Degrees to Radian Measure
  147.    wt: 1:   4 Circle Sector Area proportional to Central Angle
  148.    wt: 1:   3 Circle Arclengh Proportional to Central Angle
  149.    wt: 1:   2 Radian Measure Numerical Value of one degree
  150.    wt: 1:   1 Degrees and Radians Introduction
  151.    wt: 1:   A Global Time and Navigation
  152.    wt: 1:   15 Dot and Cross Product
  153.    wt: 1:   14 Why Scalar Multiplication Distributes Physical Argument
  154.    wt: 1:   13 Velocity Vectors in Physics
  155.    wt: 1:   12 From Applied To Pure Mathematics
  156.    wt: 1:   11 Component Method
  157.    wt: 1:   10 Parallelogram Addition Method
  158.    wt: 1:   9 Head to Tail Coordinate View
  159.    wt: 1:   8 Parallel Vectors
  160.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  161.    wt: 1:   6 Vectors with Coordinates
  162.    wt: 1:   5 Head To Tail Arrow Addition
  163.    wt: 1:   4 Resultant of a Sum of Movements
  164.    wt: 1:   3 Navigation with Arrows or Vectors
  165.    wt: 1:   2 Signed Coordinates
  166.    wt: 1:   1 Unsigned Coordinates
  167.    wt: 1:   Vector and Complex Number Applet
  168.    wt: 1:   4 graphing y=Asin(x c)
  169.    wt: 1:   3 graphing y=f(x c) plus K
  170.    wt: 1:   2 Graphing y=Af(x) Vertical Scaling
  171.    wt: 1:   1 graphing y=f(x a)
  172.    wt: 1:   Parallel Lines and Parallel Transversals
  173.    wt: 1:   Proportionality of Line Segments From Parallel Transversals
  174.    wt: 1:   Triangle Angles Sum To 180 Degrees
  175.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  176.    wt: 1:   Parallel Lines and Interior Angles
  177.    wt: 1:   Construction Methods and Criteria for Isometric and Similar Triangles
  178.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  179.    wt: 1:   Analytic View of Triangle Construction or Line Instersection More
  180.    wt: 1:   Straight Lines ASA Intersection Study More
  181.    wt: 1:   Straight Lines ASA Intersection Study
  182.    wt: 1:   Straight Lines Instersection Solving Equations
  183.    wt: 1:   Straight Lines Intersection of
  184.    wt: 1:   D Straight Lines Slope from Coordinates Examples
  185.    wt: 1:   C Straight Lines Slope from Coordinates
  186.    wt: 1:   B Straight Line Slope Scaling Properties More
  187.    wt: 1:   A Straight Line Slope Scaling Properties
  188.    wt: 1:   14 Straight Lines Equations General Case
  189.    wt: 1:   13 Straight Lines Finding Equations from 2 points
  190.    wt: 1:   12 Straight Lines Graphing mx plus b
  191.    wt: 1:   11 Straight Lines Graphing y=mx
  192.    wt: 1:   10 Straight Lines through Origin Equations More
  193.    wt: 1:   9 Straight Lines through Origin Equations
  194.    wt: 1:   8 Straight Lines Equation for vertical
  195.    wt: 1:   7 Tangent Function is odd on this domain
  196.    wt: 1:   6 Tangent Function Inclination Angle Take 2
  197.    wt: 1:   5 Tangent Function Graph
  198.    wt: 1:   4 Tangent Function Properties
  199.    wt: 1:   3 Straight Lines Slope as Tangent of Inclination Angle
  200.    wt: 1:   2 Straight Lines Slopes As Rise Over Run
  201.    wt: 1:   1 Straight Lines Slope Concept
  202.    wt: 1:   17 tangent function angle sum formulas
  203.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  204.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  205.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  206.    wt: 1:   32 seven rows of pascals triangle
  207.    wt: 1:   31 basic secant cosecant cotangent trig identities
  208.    wt: 1:   30 unit circle calculation of six trigonometric functions
  209.    wt: 1:   29 secant cosecant and cotangent for acute angles
  210.    wt: 1:   28 Expressing products of sines cosines as sums
  211.    wt: 1:   27 Logarithmic use of products of sines and cosines
  212.    wt: 1:   26 Formulas for products of sines and cosines
  213.    wt: 1:   25 tangent double angle formula Slope connection
  214.    wt: 1:   24 tangent Angle Difference Formula
  215.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  216.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  217.    wt: 1:   21 sine and cosine Half Angle Formulas
  218.    wt: 1:   20 sine and cosine Double Angle Formulas
  219.    wt: 1:   19 Pythagorean Identity For sine and cosine functions
  220.    wt: 1:   18 sum of sinusoidal waves as a single wave
  221.    wt: 1:   17G Pythagorean Theorem Converse
  222.    wt: 1:   17F Law of cosines
  223.    wt: 1:   17E Trig Formulas for dot and cross Products
  224.    wt: 1:   17D cis formulas for sine cosines and tangent
  225.    wt: 1:   17C sine and cosine double triple angle formulas
  226.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  227.    wt: 1:   17A The complex number valued trig function cis
  228.    wt: 1:   16 Right Triangle Complementary Angle Relations
  229.    wt: 1:   15 sine cosine Complementary Angle Relations
  230.    wt: 1:   14 cosine even and sine and tangent are odd
  231.    wt: 1:   13 Graph of tangent function many periods
  232.    wt: 1:   12 Graph of tangent function for one period
  233.    wt: 1:   11 tangent function undefined when terminal side vertical
  234.    wt: 1:   10 Graphs of sines and cosines many periods
  235.    wt: 1:   9 Graphs of sine and cosine over one period
  236.    wt: 1:   8 period of tangent function
  237.    wt: 1:   7 period of sine and cosine
  238.    wt: 1:   6 sines and cosines for reference angle 30 degrees
  239.    wt: 1:   5 sines and cosines for reference angle 60 degrees
  240.    wt: 1:   4 sines and cosines for reference angle 45 degrees
  241.    wt: 1:   3 sines and cosines for reference angle 90 degrees
  242.    wt: 1:   2 Quadrant I reference Angles
  243.    wt: 1:   1 Unit Points Reflections Rotations
  244.    wt: 1:   Unit Circle Development of Trigonometry
  245.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  246.    wt: 1:   21 Logarithms Powers and Exponentials
  247.    wt: 1:   20 N th Roots of Complex Numbers
  248.    wt: 1:   19 N th Roots of Unity
  249.    wt: 1:   18 Sixth Roots of Unity
  250.    wt: 1:   17 Cube Roots of unity
  251.    wt: 1:   16 References and Originality Question
  252.    wt: 1:   15 Pythagorean Theorem Converse
  253.    wt: 1:   14 Law of cosines
  254.    wt: 1:   13 Trig Formulas for dot and cross Products
  255.    wt: 1:   12 cis formulas for sine cosines and tangent
  256.    wt: 1:   11 sine and cosine double triple angle formulas
  257.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  258.    wt: 1:   9 The complex number valued trig function cis
  259.    wt: 1:   8 Unit Circle Development of Trigonometry
  260.    wt: 1:   7 Second Way to Calculate Products
  261.    wt: 1:   6 Field Properties of Complex Number
  262.    wt: 1:   5 An Easy Proof of the Distributive Law
  263.    wt: 1:   4 Multiplication Properties
  264.    wt: 1:   3 Addition Properties
  265.    wt: 1:   2 Complex Numbers made easier we hope
  266.    wt: 1:   1 Rectangular Polar Coordinates Review
  267.    wt: 1:   Appetizer A Complex Number Applet
  268.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  269.    wt: 1:   12 Triangles Similarity More Problems
  270.    wt: 1:   11 Triangle Similarity Missing Side Problem
  271.    wt: 1:   10 Similarity of Triangles Equivalent of Two Criteria
  272.    wt: 1:   9 Similarity of Triangles Usual Criteria
  273.    wt: 1:   8 Similarity of Triangles and Polygons
  274.    wt: 1:   7 Translations Rotations Reflections Dilatations
  275.    wt: 1:   6 Geometric Diagrams in Class
  276.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  277.    wt: 1:   4 Similarity Definition with Coordinate
  278.    wt: 1:   3 Similarity by Design with coordinates
  279.    wt: 1:   2 Similarity By Design
  280.    wt: 1:   1 Early Concept of Like or Similar Shapes
  281.    wt: 1:   Four Simple Exercises
  282.    wt: 1:   12 Links Lessons elsewhere
  283.    wt: 1:   11 A Partial Summary
  284.    wt: 1:   10 Midpoint of [a b] and [b a]
  285.    wt: 1:   9 Midpoint Coordinates Half Endpoint Sum
  286.    wt: 1:   8 Mid Point Formula
  287.    wt: 1:   7 Exercises to test skill and concept mastery
  288.    wt: 1:   6 Intersection of lines by solving linear systems
  289.    wt: 1:   5 Algebraic View of Slopes
  290.    wt: 1:   4 Equations for lines three forms
  291.    wt: 1:   3 Slope product for perpendicular lines
  292.    wt: 1:   2 point slope equation for a line
  293.    wt: 1:   1 Numerical view of lines and their equations
  294.    wt: 1:   What is and is not here
  295.    wt: 1:   13 Pythagorean spatial distance formulas
  296.    wt: 1:   12 Spatial Coordinates
  297.    wt: 1:   11 Triangle Inequality
  298.    wt: 1:   10 Pythagorean plane distance formula
  299.    wt: 1:   9 Pythagorean Theorem Chinese Square Proof
  300.    wt: 1:   8 Distance Between Points on a Line
  301.    wt: 1:   7 Complex Numbers Appetizer
  302.    wt: 1:   6 Polar Multiplication and Rotation
  303.    wt: 1:   5 Cartesian Addition and Translation
  304.    wt: 1:   4 Polar Coordinates to and from
  305.    wt: 1:   3 Rectangular Coordinates Review
  306.    wt: 1:   2 Cartesian Coordinates with signs
  307.    wt: 1:   1 Cartesian Coordinates sans signs
  308.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  309.    wt: 1:   21 Parallelograms
  310.    wt: 1:   19 Right Triangle Similarity
  311.    wt: 1:   18 Triangle Similarity Take 1
  312.    wt: 1:   17 Right Bisectors of Triangle Sides
  313.    wt: 1:   16 Angles Subtended By Chords and Diameters
  314.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  315.    wt: 1:   14 Parallel Lines Postulate
  316.    wt: 1:   13 Angle Side Angle Failure
  317.    wt: 1:   12 Side Angle Side Failure
  318.    wt: 1:   11 Triangle Construction Fails
  319.    wt: 1:   10 Dropping a perpendicular to line
  320.    wt: 1:   9 Construction of a right bisector
  321.    wt: 1:   8 Isoceles Triangles
  322.    wt: 1:   7 Angle Side Angle
  323.    wt: 1:   6 Ruler and compass Angle Bisection
  324.    wt: 1:   5 Side Angle Side
  325.    wt: 1:   4 Side Side Side
  326.    wt: 1:   3 Isometry of Triangles Congruence
  327.    wt: 1:   2 Correspondence between Triangles
  328.    wt: 1:   1 Initial Concepts and Terms
  329.    wt: 1:   Short Course on Euclidean Geometry
  330.    wt: 1:   About Folder Contents
  331.    wt: 1:   4 Commutative Law Groups Counting Form
  332.    wt: 1:   8 Coordinates for Maps and Planes
  333.    wt: 1:   3 signed coordinates for maps and planes
  334.    wt: 1:   7 More on Groups of 3 Place Value in Mixed Decimal Fractions
  335.    wt: 1:   6 Groups of 3 Place Value in Mixed Decimal Fractions
  336.    wt: 1:   5 More on Groups of 3 Place Value in Decimal Fractions
  337.    wt: 1:   4 Groups of 3 Place Value in Decimal Fractions
  338.    wt: 1:   3 More on Groups of 3 Multi Digit Place Value
  339.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  340.    wt: 1:   5 Jumps and absence of unlimited error control
  341.    wt: 1:   .H2 Lipshitz Conditions Integration Calculus Reform
  342.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  343.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  344.    wt: 1:   Postscript B Mathematics Education References
  345.    wt: 1:   1 Links to Online Resources Elsewhere Take 1
  346.    wt: 1:   V Reasons and Motivations for Logic and Mathematics
  347.    wt: 1:   S Adding words to algebra
  348.    wt: 1:   R Why Learn Mathematics Skills
  349.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  350.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  351.    wt: 1:   O On Learning Mathematics and Science
  352.    wt: 1:   N Mathematics Prepare for College Studies
  353.    wt: 1:   M Words to extend arithmetic
  354.    wt: 1:   L Skills with take home value
  355.    wt: 1:   N Improving Marks on Tests and Finals
  356.    wt: 1:   J. More on written work and showing skill
  357.    wt: 1:   I. Logic and language skills
  358.    wt: 1:   H more Routine to non routine problem solving
  359.    wt: 1:   H Jigsaw puzzles and problem solving
  360.    wt: 1:   G. Written work formats for developing and showing skill
  361.    wt: 1:   F. The student teacher tutor feedback loop
  362.    wt: 1:   E. When and how to correct errors
  363.    wt: 1:   D. Check work a must with a caution
  364.    wt: 1:   C. Domino effect of being careful
  365.    wt: 1:   B. Domino effect of errors
  366.    wt: 1:   A. Skill has to be seen to believed
  367.    wt: 1:   How to Build Skills and Confidence

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Parents: Help your child or teen learn:

Parent-friendly Work Booklets for ages 3+ to 13 Use these or others to check or build skills.

Mathematics Skills For Ages 3 to 14

Skills with take home value

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


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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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