Original Site Title: Appetizers and Lessons for Mathematics and Reason, June 1995 to April 2012. New site title:
Logic and Mathematics Skill & Concept Development with How-TOs Français: 26 pages
for college students, gifted teens, home-tutoring and K1-12 schooling. Avid readers in school and out may like Site Volumes.

Logic 5 Chapters Arithmetic 10 Steps Algebra 12 Starter Steps & 5 Advanced Steps
Work & Study 23 Tips Geometry 15 Steps Calculus 70 Lessons. See Site Map

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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50 matches:

  1.    wt: 5:   Mathematics Skills Year by Year/
  2.    wt: 3:   12 Comparison of Unsigned and Signed Numbers/
  3.    wt: 3:   11 Squares and Square Roots/
  4.    wt: 3:   10 LCM GCD and Euclid GCD Algorithm/
  5.    wt: 3:   9 Combinatorics Trees Tables and Products/
  6.    wt: 3:   7 Arithmetic and Fractions with Units/
  7.    wt: 3:   6 Fractions and Ratios/
  8.    wt: 3:   4 Remainder Arithmetic and Divisibility/
  9.    wt: 3:   3 Prime Factorization Skills/
  10.    wt: 3:   B Decimal Comparing and Subtracting Methods/
  11.    wt: 3:   A Decimal Counting and Adding Methods/
  12.    wt: 3:   PreSchool and Primary Mathematics or Quantitative Skills/
  13.    wt: 3:   Mathematics Skill Development Framework/
  14.    wt: 2:   9 Proportionality Backwards and Forwards/
  15.    wt: 2:   7 Axioms Logic and Equivalent Equations/
  16.    wt: 2:   2 Formula Forward Use Evaluation/
  17.    wt: 2:   8 Arithmetic with Signed Numbers/
  18.    wt: 2:   5 Integers/
  19.    wt: 2:   D Decimal Long Division Methods/
  20.    wt: 2:   C Decimal Multiplication Methods/
  21.    wt: 2:   2 Arithmetic with Decimals/
  22.    wt: 2:   1 Decimal Place Value/
  23.    wt: 2:   Arithmetic and Number Theory Skills/
  24.    wt: 2:   Volume 2 Three Skills For Algebra/
  25.    wt: 1:   LAMP Lean Applied Mathematics Program/
  26.    wt: 1:   Progressive Observable Motivated Mathematics Education/
  27.    wt: 1:   Mathematics Education Essays/
  28.    wt: 1:   14 Degrees to Radians and Radians to Degrees/
  29.    wt: 1:   12 Function Translating and Rescaling/
  30.    wt: 1:   11 Parallel Straight Lines and Transversals/
  31.    wt: 1:   10 Intersecting Straight Lines and Transversals/
  32.    wt: 1:   9 Lines and Slopes Take 2 with tangent function/
  33.    wt: 1:   4 Lines and Slopes Take 1/
  34.    wt: 1:   3 Cartesian and Polar Coordinates/
  35.    wt: 1:   B Real Numbers Extrinsic Development/
  36.    wt: 1:   A Origins of Counting and Figuring Methods/
  37.    wt: 1:   8 Unifying Theme For Algebra/
  38.    wt: 1:   6 More Less Greater Than Inequalities and Comparison/
  39.    wt: 1:   4 Computation Rules and Function Notation/
  40.    wt: 1:   Step 2 Algebraic solutions for one unknown/
  41.    wt: 1:   Step 1 Stick diagram and fractions/
  42.    wt: 1:   Time Date Matters/
  43.    wt: 1:   Skills with take home value/
  44.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  45.    wt: 1:   13 Lessons on Limits and Continuity/
  46.    wt: 1:   Volume 1B Mathematics Curriculum Notes/
  47.    wt: 1:   Work and Study Tips/
  48.    wt: 1:   Resources and Reciprocal Links/
  49.    wt: 1:   Mathematics 506 Lessons/
  50.    wt: 1:   Secondary Mathematics A Practical Approach/

Web Page Search

456 matches:

  1.    wt: 5:   V Reasons and Motivations for Logic and Mathematics
  2.    wt: 4:   1 Written work formats for developing and showing skill
  3.    wt: 4:   38 Formulas and derivatives for powers and roots
  4.    wt: 4:   I. Logic and language skills
  5.    wt: 4:   G. Written work formats for developing and showing skill
  6.    wt: 4:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years
  7.    wt: 3:   24 Standards For Skill Develoment Take II
  8.    wt: 3:   24 Standards For Skill Develoment
  9.    wt: 3:   12 Goals and Objectives For Mathematics
  10.    wt: 3:   6 Formulas for Even and Odd Roots with Logarithms
  11.    wt: 3:   Construction Methods and Criteria for Isometric and Similar Triangles
  12.    wt: 3:   26 Formulas for products of sines and cosines
  13.    wt: 3:   17E Trig Formulas for dot and cross Products
  14.    wt: 3:   17D cis formulas for sine cosines and tangent
  15.    wt: 3:   13 Trig Formulas for dot and cross Products
  16.    wt: 3:   12 cis formulas for sine cosines and tangent
  17.    wt: 3:   9 Circle Area and Perimeter Formula Backwards Forwards
  18.    wt: 3:   2 More and Less Than for Counts and Measures
  19.    wt: 3:   1 More and Less Than for Counts and Measures
  20.    wt: 3:   C Equality for Fractions and Two Term Ratios and Fractions
  21.    wt: 3:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  22.    wt: 3:   Chapter 14. Forward and Backward Use of a Formula
  23.    wt: 3:   Chapter 2 For and Against Mathematics
  24.    wt: 3:   Chapter 4 Logic for Reading Writing and Geometry etc
  25.    wt: 3:   Primary and Secondary Skills and Practices with Take Home Value
  26.    wt: 3:   Helping the Blind in Logic and Mathematics
  27.    wt: 3:   Ends Values Methods For Skill Development Framework Prequel
  28.    wt: 3:   Multiple Ways to Improve Mathematics Skill Development
  29.    wt: 2:   B LAMP Introduction Curriculum Development Standards
  30.    wt: 2:   Skills Chapter 4 Logic
  31.    wt: 2:   7 logic review and decimals an odd combination
  32.    wt: 2:   mathematics in context
  33.    wt: 2:   three goals for Mathematics Education
  34.    wt: 2:   three aims for mathematics students
  35.    wt: 2:   standards for course material
  36.    wt: 2:   formal or informal peer review
  37.    wt: 2:   Education in mathematics science and technology
  38.    wt: 2:   Motivation and Context Problem
  39.    wt: 2:   need for a mixed mathematics curriculum
  40.    wt: 2:   Prequel In For A Penny In For A Pound
  41.    wt: 2:   fairness and inductive principles for instruction
  42.    wt: 2:   words for mathematics instructor
  43.    wt: 2:   27 Graduated Correction and Penalties for Young Offenders
  44.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take IV
  45.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take III
  46.    wt: 2:   23 Modularized Skill Development Modularized Rigor Take II
  47.    wt: 2:   23 Modularized Skill Development Modularized Rigor
  48.    wt: 2:   21 Calculus Oriented Highschool Mathematics Winners and Orphans Take II
  49.    wt: 2:   20 Calculus Oriented Highschool Mathematics Winners and Orphans Take I
  50.    wt: 2:   17 Math Booklets for children and young teenagers
  51.    wt: 2:   5 Patience Please for Yourself and Your Charges
  52.    wt: 2:   4 Learning Takes Time and Effort
  53.    wt: 2:   2 Reading and Writing Skills
  54.    wt: 2:   Ages 3 to 14 Terminal Objectives for Arithmetic and Statistics
  55.    wt: 2:   Ages 3 to 14 Terminal Objectives for Algebra Geometry and Probability
  56.    wt: 2:   6 Set Existence Formation and Notation
  57.    wt: 2:   5 Function notation for geometric transformations
  58.    wt: 2:   4 Function notation in and beyond mathematics
  59.    wt: 2:   9 quadratics physical and further context
  60.    wt: 2:   9 Formulas for Real Exponents with Logarithms
  61.    wt: 2:   8 Formulas for Fractional Exponents with Logarithms
  62.    wt: 2:   7 Formulas for Roots with Logarithms Derivation
  63.    wt: 2:   29 secant cosecant and cotangent for acute angles
  64.    wt: 2:   21 sine and cosine Half Angle Formulas
  65.    wt: 2:   20 sine and cosine Double Angle Formulas
  66.    wt: 2:   19 Pythagorean Identity For sine and cosine functions
  67.    wt: 2:   17C sine and cosine double triple angle formulas
  68.    wt: 2:   14 cosine even and sine and tangent are odd
  69.    wt: 2:   6 sines and cosines for reference angle 30 degrees
  70.    wt: 2:   5 sines and cosines for reference angle 60 degrees
  71.    wt: 2:   4 sines and cosines for reference angle 45 degrees
  72.    wt: 2:   3 sines and cosines for reference angle 90 degrees
  73.    wt: 2:   11 sine and cosine double triple angle formulas
  74.    wt: 2:   5 Trigonometric Ratios For Tangent and Special Triangles
  75.    wt: 2:   7 Exercises to test skill and concept mastery
  76.    wt: 2:   4 Equations for lines three forms
  77.    wt: 2:   16 Angles Subtended By Chords and Diameters
  78.    wt: 2:   3 Lengths and Areas on Maps and Plans
  79.    wt: 2:   2 Combing Counts Addition Skills and Principles
  80.    wt: 2:   6 Compound Interest Forward and Backwards
  81.    wt: 2:   4 Rectangle Area and Like Formulas Backwards
  82.    wt: 2:   8 Coordinates for Maps and Planes
  83.    wt: 2:   3 Geometric Formulas and Function Notation
  84.    wt: 2:   1 Formulas Dependence and Function Notation
  85.    wt: 2:   Skill Development Notes
  86.    wt: 2:   Formula Usage Show Work Format
  87.    wt: 2:   1 Three Skills For Algebra
  88.    wt: 2:   3 signed coordinates for maps and planes
  89.    wt: 2:   5 Reciprocals and Division for Fractions with Units
  90.    wt: 2:   21 Reciprocals for Fractions and Wholes
  91.    wt: 2:   11 Adding Integers Formulas and Examples
  92.    wt: 2:   Long Division forwards and backwards Example 3
  93.    wt: 2:   Long Division forwards and backwards Example 2
  94.    wt: 2:   Long Division forwards and backwards Example 1
  95.    wt: 2:   10 Division by Five Long and Short Ways
  96.    wt: 2:   8 What skills and work habits to require
  97.    wt: 2:   6. Counting and adding units and mixed units
  98.    wt: 2:   10 Names for Big Numbers and Powers of Ten Expansion
  99.    wt: 2:   Practical Methods Ends and Values for Arithmetic
  100.    wt: 2:   D1 Sets and Sequences GLBs and LGBs
  101.    wt: 2:   PostScript For and Against Decimal Perspectives
  102.    wt: 2:   Chapter 14 Limits and Continuity with and sans Decimals
  103.    wt: 2:   Postscript For Better Performance
  104.    wt: 2:   Appendix E. How To Study Mathematics and Why
  105.    wt: 2:   Postscript Unifying Theme A Fourth Skill For Algebra
  106.    wt: 2:   Chapter 8 Three Skills For Algebra
  107.    wt: 2:   Chapter 5 Islands and Divisions of Knowledge
  108.    wt: 2:   Chapter 2 Implication Rules Forwards and Backwards
  109.    wt: 2:   Chapter 16 Origins and Limitations of Rules and Patterns
  110.    wt: 2:   Chapter 14 Deductive and Empirical Views of Mathematics
  111.    wt: 2:   Chapter 12 Islands and Divisions of Knowledge
  112.    wt: 2:   Chapter 4 Implication Rules Forwards and Backwards
  113.    wt: 2:   Chapter 2 Skill Development
  114.    wt: 2:   R Why Learn Mathematics Skills
  115.    wt: 2:   Q How Logic and Proofs extend Show Work Practices
  116.    wt: 2:   O On Learning Mathematics and Science
  117.    wt: 2:   N Mathematics Prepare for College Studies
  118.    wt: 2:   J. More on written work and showing skill
  119.    wt: 2:   How to Build Skills and Confidence
  120.    wt: 2:   7 Games and Activities for Instruction
  121.    wt: 2:   5 Interpreting and Drawing Maps and Plans.
  122.    wt: 2:   2 Identifying Size and Position Place and Spatial Sense
  123.    wt: 2:   Phase 5. Calculus Light to Rigourous for 1 to 2 years
  124.    wt: 2:   Phase 4. Preparation for Calculus with Cross Curricula but no take home value 1 year
  125.    wt: 2:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  126.    wt: 2:   Systematic Algebra Skill Development Missing Links
  127.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  128.    wt: 2:   Phase 2. More Basic Skills with likely take home value 1 to 2 years
  129.    wt: 2:   Phase 1. Basics Skills with clear take home value 5 to 6 years
  130.    wt: 2:   The Math Forum and Site Content
  131.    wt: 1:   Appendix 1 primary and preschool mathematic
  132.    wt: 1:   G LAMP Introduction Problem Solving Skills
  133.    wt: 1:   E LAMP Introduction Modern Mathematics
  134.    wt: 1:   C LAMP Introduction Culture in Mathematics Education
  135.    wt: 1:   Skills Chapter 5 Calculus
  136.    wt: 1:   Skills Chapter 3 Algebra
  137.    wt: 1:   Skills Chapter 2 Geometry
  138.    wt: 1:   Skills Chapter 1 Arithmetic
  139.    wt: 1:   Skills Chapter 0 Introduction
  140.    wt: 1:   11 pure mathematics
  141.    wt: 1:   5 logarithms and exponentials etc
  142.    wt: 1:   three goals to set for students
  143.    wt: 1:   permissions for teachers
  144.    wt: 1:   activities for students
  145.    wt: 1:   key notes and themes
  146.    wt: 1:   Mathematics Education Professors
  147.    wt: 1:   what should be learnt and When
  148.    wt: 1:   Education Reform Inconsistencies
  149.    wt: 1:   Secondary Three Mathematics
  150.    wt: 1:   Secondary Two Mathematics
  151.    wt: 1:   Secondary One Mathematics
  152.    wt: 1:   mathematics curriculum shifts
  153.    wt: 1:   geometric implications for algebra
  154.    wt: 1:   04 29 New Mathematics Curriculum
  155.    wt: 1:   02 21 words for teachers
  156.    wt: 1:   02 20 mathematics education references
  157.    wt: 1:   mathematics instruction in general
  158.    wt: 1:   three kinds of reason in mathematics
  159.    wt: 1:   Four ways to improve education reform
  160.    wt: 1:   Leaner mathematics curriculum
  161.    wt: 1:   C Electromotive force conventional current02
  162.    wt: 1:   B Electromotive force conventional current01
  163.    wt: 1:   Home Tutoring and Home Schooling
  164.    wt: 1:   25 Mathematics Education Leaving A Good Impression
  165.    wt: 1:   22 Student Centered Highschool Mathematics
  166.    wt: 1:   19 Extending the Oral Dimension of Mathematics
  167.    wt: 1:   18 Primary School Mathematics
  168.    wt: 1:   16 Secondary Mathematics Tips
  169.    wt: 1:   15 Counting For Parents
  170.    wt: 1:   14 Multiplication and Times Tables
  171.    wt: 1:   13 Addition and Addition Tables
  172.    wt: 1:   11 Help and Defend Your Child or Teens Education
  173.    wt: 1:   10 Ends values for work study instruction
  174.    wt: 1:   9 Streaming by Student Cooperation
  175.    wt: 1:   3 Preparing for Science Studies
  176.    wt: 1:   1 Speaking Skills
  177.    wt: 1:   Ages 12 to 14 Skills with take home value
  178.    wt: 1:   26 Function definitions done and coming
  179.    wt: 1:   25 Absolute Value greatest integer and saw tooth functions
  180.    wt: 1:   24 Monotoncity Injectivity and Inverse Functions
  181.    wt: 1:   21 Graphs of functions given by Horizontal Line Method
  182.    wt: 1:   19 Horizontal line rule and method
  183.    wt: 1:   18 Vertical Line Rule and Method
  184.    wt: 1:   17 Function maxima minima and their location
  185.    wt: 1:   11 Function Domain Range Source and Targets
  186.    wt: 1:   8 Set view of relations and functions
  187.    wt: 1:   3 Formula or function graphing exercise
  188.    wt: 1:   8 quadratics backward use of various formulas
  189.    wt: 1:   7 quadratic formulla derivation
  190.    wt: 1:   3 quadratics factoring by inspection
  191.    wt: 1:   11 Growth and Decay in Biology
  192.    wt: 1:   10 Exponential Growth and Decay Models
  193.    wt: 1:   3 Natural Logarithms and Exponentials Basic Properties
  194.    wt: 1:   8 Notes for instructors or tutors
  195.    wt: 1:   6 Polynomial Operations and Equivalent Computation Rules
  196.    wt: 1:   16 cotangent function Definition Graph and Inverse
  197.    wt: 1:   15 cosecant function Definition Graph and Inverse
  198.    wt: 1:   14 secant function Definition Graph and Inverse
  199.    wt: 1:   13 cosecant function Definition Graph and Inverse
  200.    wt: 1:   12 motivation for term arctan
  201.    wt: 1:   9 motivation for name arcsin
  202.    wt: 1:   4 possible motivation for term arccos
  203.    wt: 1:   9 Summary Degrees to Radians and back
  204.    wt: 1:   1 Degrees and Radians Introduction
  205.    wt: 1:   A Global Time and Navigation
  206.    wt: 1:   15 Dot and Cross Product
  207.    wt: 1:   12 From Applied To Pure Mathematics
  208.    wt: 1:   7 Coordinate Addition and Scalar Multiplication
  209.    wt: 1:   Vector and Complex Number Applet
  210.    wt: 1:   Parallel Lines and Parallel Transversals
  211.    wt: 1:   Parallel Lines and Alternating Corresponding Angles
  212.    wt: 1:   Parallel Lines and Interior Angles
  213.    wt: 1:   SAS Method For Isometric Or Proportional Triangle Construction
  214.    wt: 1:   8 Straight Lines Equation for vertical
  215.    wt: 1:   17 tangent function angle sum formulas
  216.    wt: 1:   35 sines and cosines of 2A 3A 4A 5A
  217.    wt: 1:   34 sines and cosines of 2A 3A 4A 5A
  218.    wt: 1:   33 sines and cosines of 2A 3A 4A 5A
  219.    wt: 1:   27 Logarithmic use of products of sines and cosines
  220.    wt: 1:   25 tangent double angle formula Slope connection
  221.    wt: 1:   24 tangent Angle Difference Formula
  222.    wt: 1:   23 sine and cosine of 180 plus 22.5 degrees
  223.    wt: 1:   22 sine of 22.5 degrees via half angle formulas
  224.    wt: 1:   17B sine cosine Angle Sum Formulas via cis
  225.    wt: 1:   12 Graph of tangent function for one period
  226.    wt: 1:   10 Graphs of sines and cosines many periods
  227.    wt: 1:   9 Graphs of sine and cosine over one period
  228.    wt: 1:   7 period of sine and cosine
  229.    wt: 1:   Unit Circle Development of Trigonometry
  230.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  231.    wt: 1:   21 Logarithms Powers and Exponentials
  232.    wt: 1:   16 References and Originality Question
  233.    wt: 1:   10 sine cosine Angle Sum Formulas via cis
  234.    wt: 1:   8 Unit Circle Development of Trigonometry
  235.    wt: 1:   4 Trigonometric Ratios For Two Special Triangles
  236.    wt: 1:   3 Trigonometric Ratios sine and cosine
  237.    wt: 1:   Right Triangle and Unit Circle Trigonometry
  238.    wt: 1:   13 Navigation Location from Angles to 2 Landmarks
  239.    wt: 1:   8 Similarity of Triangles and Polygons
  240.    wt: 1:   5 Similarity of Circles Squares and Rectangles
  241.    wt: 1:   3 Similarity by Design with coordinates
  242.    wt: 1:   2 Similarity By Design
  243.    wt: 1:   10 Midpoint of [a b] and [b a]
  244.    wt: 1:   8 Mid Point Formula
  245.    wt: 1:   6 Intersection of lines by solving linear systems
  246.    wt: 1:   3 Slope product for perpendicular lines
  247.    wt: 1:   2 point slope equation for a line
  248.    wt: 1:   1 Numerical view of lines and their equations
  249.    wt: 1:   What is and is not here
  250.    wt: 1:   13 Pythagorean spatial distance formulas
  251.    wt: 1:   10 Pythagorean plane distance formula
  252.    wt: 1:   6 Polar Multiplication and Rotation
  253.    wt: 1:   5 Cartesian Addition and Translation
  254.    wt: 1:   4 Polar Coordinates to and from
  255.    wt: 1:   PS H Distributive Law For Complex Numbers
  256.    wt: 1:   6 Ruler and compass Angle Bisection
  257.    wt: 1:   1 Initial Concepts and Terms
  258.    wt: 1:   A Modular and Remainder Arithmetic
  259.    wt: 1:   20 Length and Direction of Collinear Vector Sums How to Add Definition
  260.    wt: 1:   14 Vector Head to Tail Sums and Resultants
  261.    wt: 1:   13 Arrows and Vectors in a Plane
  262.    wt: 1:   11 Signed Number Addition and Addition Properties
  263.    wt: 1:   10 Numbers given by Infinite Aperiodic Decimal Expansions
  264.    wt: 1:   8 Division and Mulplication of Compound Fractions
  265.    wt: 1:   B Decimal Comparison and Subtraction
  266.    wt: 1:   6 Column Methods for Decimal Multiplication
  267.    wt: 1:   5 Distributive Law for Whole Numbers
  268.    wt: 1:   4 Commutative Law Groups Counting Form
  269.    wt: 1:   3 Multiplicative Counting Skills Principles
  270.    wt: 1:   4 Fraction Operations Axiomatic Development
  271.    wt: 1:   2 Fraction Operations Physical Development
  272.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  273.    wt: 1:   4 Rates Ratios and Proporitionality
  274.    wt: 1:   8 Pythagorean Relation Forwards Backwards
  275.    wt: 1:   5 Triangle Area Formula Backwards
  276.    wt: 1:   6 Equations and Systems Equivalent or Implied
  277.    wt: 1:   4 Subtraction and Division Axioms
  278.    wt: 1:   3 Product Axioms Two Forms
  279.    wt: 1:   2 Addition and Multiplication Axioms
  280.    wt: 1:   3 More and Less Than with Unlike Signs
  281.    wt: 1:   10 Real Number Lengths and Signs
  282.    wt: 1:   9 Coordinates for Regions in Space
  283.    wt: 1:   1 Whole and Natural Numbers
  284.    wt: 1:   5 Gaussian Elimination for 3 unknowns 2nd example
  285.    wt: 1:   3 GE III Equation Addition and Multiplication
  286.    wt: 1:   Using Letters for Physical Quantities
  287.    wt: 1:   13 Naming Identifying Formulas with Words
  288.    wt: 1:   8 Compound Interest Formula Evaluation
  289.    wt: 1:   7 Compound Interest Formula Introduction
  290.    wt: 1:   5 Box Volume Formula Example
  291.    wt: 1:   4 Circle Area Formula Example
  292.    wt: 1:   3 Triangle Area Formula Example
  293.    wt: 1:   2 Another Rectangle Area Formula Example
  294.    wt: 1:   9 Sets in Probability and Statistics
  295.    wt: 1:   5 Talking about Numbers and Quantities
  296.    wt: 1:   4 A Brief Story of numbers and algebra
  297.    wt: 1:   arithmetic videos Real Player Format
  298.    wt: 1:   2 More and Less Than with Unlike Signs
  299.    wt: 1:   1 Squares and Square Roots Introduction
  300.    wt: 1:   17 GCD LCM of 85 and 60 via Prime
  301.    wt: 1:   16 GCD and LCM of 650 225 via Prime
  302.    wt: 1:   10 Euclid Algorithm with 129 125 and with 45 14
  303.    wt: 1:   9 GCD of 360 110 via Primes and Euclid Algorithm
  304.    wt: 1:   7 GCD and LCM from prime factorization
  305.    wt: 1:   4 LCM of 8 and 10 via Prime
  306.    wt: 1:   3 Counting with Tables and Trees II
  307.    wt: 1:   2 Counting with Tables and Trees I
  308.    wt: 1:   1 Counting and Counting Methods I
  309.    wt: 1:   11 What are real lengths and numbers
  310.    wt: 1:   7 negative and additive inverse
  311.    wt: 1:   5 lengths and signs of numbers
  312.    wt: 1:   4 signed coordinates for regions in space
  313.    wt: 1:   2 signed and unsigned numbers as coordinates
  314.    wt: 1:   3 Multiplying Units and Numbers
  315.    wt: 1:   2 Equality and Units
  316.    wt: 1:   1 Addition and Subtraction with Units
  317.    wt: 1:   B Fractions and Two Term Ratios
  318.    wt: 1:   A Similarities between Fractions and Two Term Ratios
  319.    wt: 1:   17 Efficient Ways to Add and Subtract
  320.    wt: 1:   15 Adding and Subtracting with Unlike Denominators
  321.    wt: 1:   14 Adding and Subtracting with Like Denominators
  322.    wt: 1:   10 Simplification of Fractions and Mixed Numerals
  323.    wt: 1:   9 Improper Fractions and Mixed Numbers
  324.    wt: 1:   Fraction Operations by Raising Terms A Simple Innovation
  325.    wt: 1:   C Divisibility by 11 Integer Recognition Method
  326.    wt: 1:   10 Integer Multiplication Formulas
  327.    wt: 1:   8 Multiplication by Signed Numbers Integers
  328.    wt: 1:   7 Multiplication by Signs
  329.    wt: 1:   6 Multiplication by Natural Numbers
  330.    wt: 1:   5 Zero Movement and Additive Inverses
  331.    wt: 1:   A Decimals Modular and Remainder Arithmetic
  332.    wt: 1:   27 Divisibility by 2 3 6 5 9 10 Example
  333.    wt: 1:   26 Divisibility by 2 3 5 Example
  334.    wt: 1:   25 Divisibility Tests for 2 3 5 9 10 Example
  335.    wt: 1:   24 Divisibility Tests for 2 3 5 9 10
  336.    wt: 1:   20 Remainder Arithmetic Rule of 9 for checking sums IV
  337.    wt: 1:   19 Remainder Arithmetic Rule of 9 for checking sums III
  338.    wt: 1:   18 Remainder Arithmetic Rule of 9 for checking sums II
  339.    wt: 1:   17 Remainder Arithmetic Rule of 9 for checking sums I
  340.    wt: 1:   11 Remainder Arithmetic Long Division by 5 Quickly more
  341.    wt: 1:   10 Remainder Arithmetic Long Division by 5 Quickly
  342.    wt: 1:   9 Remainder Arithmetic Divisibility by 5
  343.    wt: 1:   17 Identify and Count Factors using Primes
  344.    wt: 1:   12 LCD GCD and LCM using Primes
  345.    wt: 1:   7 Calculator Usage Notes and Cautions
  346.    wt: 1:   6 Sieve of Eratosthenes and Square Rule
  347.    wt: 1:   5 Prime Factorization and a Square Rule
  348.    wt: 1:   3 video Primes and Composites from 9 times table
  349.    wt: 1:   2 Prime and Composites less than 16
  350.    wt: 1:   Division with Counts and Length
  351.    wt: 1:   A Elementary Basis for Multiplication Methods
  352.    wt: 1:   4 Two and Three Digit Multipliers
  353.    wt: 1:   7 Subtraction for Decimal Fractions with Exercises
  354.    wt: 1:   5 A Tip for Efficent Subtraction
  355.    wt: 1:   4 Subtraction with Conversions Borrows and Letter J
  356.    wt: 1:   3 Harder Cases Convert to Compare and Subtract
  357.    wt: 1:   1 Comparison and Subtraction Easy Direct Cases
  358.    wt: 1:   11 Place Value SI Standard International way
  359.    wt: 1:   9 Place Value Review Decimal form of Avogrados number included
  360.    wt: 1:   8 Review Lesson 1 2 4 and 6 All in One
  361.    wt: 1:   2 Groups of Three Place Value for Multidigit Decimals
  362.    wt: 1:   Quick history of numbers and algebra
  363.    wt: 1:   Exact Arithmetic Wholes and Fractions
  364.    wt: 1:   Formula Evaluation how to show work
  365.    wt: 1:   015 School and work day counting tables
  366.    wt: 1:   012 Division of Time Intervals by Time Intervals
  367.    wt: 1:   011 Division of Time Intervals By Numbers
  368.    wt: 1:   9 Comparison and Subtraction of Time Intervals
  369.    wt: 1:   4 Mixing and Changing Units of Time
  370.    wt: 1:   3 Units and Lengths of Time
  371.    wt: 1:   2 Time and Date Matters in School
  372.    wt: 1:   1 Intro of Kids To Time Date Skills
  373.    wt: 1:   Volume of Solid by Cross Sections Lesson
  374.    wt: 1:   Example 1. Area Between x and x squared
  375.    wt: 1:   28 Chain Rule Preparation for a Proof
  376.    wt: 1:   22 Chain Rule for polynomials
  377.    wt: 1:   21 Chain Rule for powers
  378.    wt: 1:   20 Chain Rule for Pulley Systems
  379.    wt: 1:   19 Chain Rule for linear functions
  380.    wt: 1:   17 Derivatives of quotients of sine and cosine
  381.    wt: 1:   16 Derivatives of reciprocals of sine and cosine
  382.    wt: 1:   15 sine and cosine derivatives 3rd step
  383.    wt: 1:   14 sine and cosine derivatives 2nd step
  384.    wt: 1:   13 sine and cosine derivatives 1st step
  385.    wt: 1:   10 Power rule for negative integers
  386.    wt: 1:   3 Motivation for Limit Definition Take 2
  387.    wt: 1:   2 Motivation for Limit Definition Take 1
  388.    wt: 1:   13 Limits with Parameters and Derivatives Take II
  389.    wt: 1:   12 Limits with Parameters and Derivatives Take I
  390.    wt: 1:   9 Limits Continuity and Composition
  391.    wt: 1:   7 Evaluation by immediate or delayed substitution
  392.    wt: 1:   5 Jumps and absence of unlimited error control
  393.    wt: 1:   3 Decimal insights for limits continuity convergence
  394.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  395.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  396.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  397.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  398.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  399.    wt: 1:   Chapter 12. Units and Slopes
  400.    wt: 1:   Chapter 10 Slopes and Units
  401.    wt: 1:   Chapter 7 Slopes and Velocity
  402.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  403.    wt: 1:   Chapter 2. Slopes and Ski Trails
  404.    wt: 1:   Foreword
  405.    wt: 1:   Postscript More on Better Performance
  406.    wt: 1:   Appendix D. What to do in School and Why
  407.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  408.    wt: 1:   Chapter 31 Direct and Indirect Reason
  409.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  410.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  411.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  412.    wt: 1:   Chapter 23. Notation For Sums
  413.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  414.    wt: 1:   Chapter 20. Degrees and Radians
  415.    wt: 1:   Chapter 19. Functions and Sets
  416.    wt: 1:   Chapter 18. Rules for Algebra
  417.    wt: 1:   Chapter 12. Shorthand Usage Guide
  418.    wt: 1:   Chapter 11. Why Shorthand
  419.    wt: 1:   Chapter 10 Describing and Changing Calculations
  420.    wt: 1:   Solutions For Arithmetic Exercises
  421.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  422.    wt: 1:   Chapter 6 Change of Language
  423.    wt: 1:   Foreword
  424.    wt: 1:   Postscript B Mathematics Education References
  425.    wt: 1:   Chapter 6 Rule Based Reason in Mathematics
  426.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  427.    wt: 1:   Foreword
  428.    wt: 1:   Postscript C Consistency as a Tool for Reason
  429.    wt: 1:   Postscript B More on Story Telling and Reason
  430.    wt: 1:   Chapter 24 Direct and Indirect Reason
  431.    wt: 1:   Chapter 22 Contrapositive and Vacuously True Implications
  432.    wt: 1:   Chapter 20 Shorthand Symbols as Pronouns
  433.    wt: 1:   Chapter 18 Sense and Knowledge
  434.    wt: 1:   Chapter 17 Objective Ways Trial and Error Discovery
  435.    wt: 1:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  436.    wt: 1:   Chapter 8 Change of Language
  437.    wt: 1:   Foreword
  438.    wt: 1:   P Exact Arithmetic With Whole Numbers and Fractions
  439.    wt: 1:   L Skills with take home value
  440.    wt: 1:   N Improving Marks on Tests and Finals
  441.    wt: 1:   H Jigsaw puzzles and problem solving
  442.    wt: 1:   E. When and how to correct errors
  443.    wt: 1:   A. Skill has to be seen to believed
  444.    wt: 1:   Appendix A Calculus with Proofs for Keen or Gifted
  445.    wt: 1:   Chapter 8 Skipped Topics and Why
  446.    wt: 1:   Chapter 7 Calculus Previews and Calculus Lightly
  447.    wt: 1:   Chapter 6 More Algebra and Geometry
  448.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  449.    wt: 1:   4 Money Matters Saving Earning Buying Selling and Budgets
  450.    wt: 1:   3 Telling Tracking Time Temporal and More Place Sense
  451.    wt: 1:   1 From Number Recognition and Counting to Arithmetic B
  452.    wt: 1:   1 From Number Recognition and Counting to Arithmetic A
  453.    wt: 1:   Mathematics Education References
  454.    wt: 1:   Mathematics Education References
  455.    wt: 1:   More Algebra and Slope based Calculus Preview
  456.    wt: 1:   Talking pdf files for online lessons a webvideo alternative

Extended Search

905 matches:

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

Teachers & Tutors: Site pages offer better or best practices for providing skills - simpler than expected & comprehensive but for exercises. For your charges, your duty is to study them alone or in groups and develop skill building exercises & activities to share. Start now. The effort here is the best I can do. Others are welcome to refine or exceed it. Please do.

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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