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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11 matches:

  1.    wt: 6:   Volume 1A Pattern Based Reason/
  2.    wt: 2:   Volume 1A Regles et modeles/
  3.    wt: 2:   Volume 1 Elements of Reason/
  4.    wt: 1:   2 Euclidean Geometry Constructions Theory extras/
  5.    wt: 1:   10 Examples of Algebraic Reasoning/
  6.    wt: 1:   7 Axioms Logic and Equivalent Equations/
  7.    wt: 1:   12 Webvideo Lessons on Area and Volume Calculation/
  8.    wt: 1:   Advanced Calculus Volume 3 Appendices/
  9.    wt: 1:   Volume 3 Why Slopes A Calculus Intro Etc/
  10.    wt: 1:   Volume 2 Three Skills For Algebra/
  11.    wt: 1:   Volume 1B Mathematics Curriculum Notes/

Web Page Search

41 matches:

  1.    wt: 2:   Chapter 6 Rule Based Reason in Mathematics
  2.    wt: 2:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  3.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  4.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  5.    wt: 1:   Skills Chapter 4 Logic
  6.    wt: 1:   7 logic review and decimals an odd combination
  7.    wt: 1:   3 Euclidean Geometry Leanly
  8.    wt: 1:   teaching tutoring algebraic reason
  9.    wt: 1:   Different Kinds of Reasoning in maths
  10.    wt: 1:   three kinds of reason in mathematics
  11.    wt: 1:   13 Velocity Vectors in Physics
  12.    wt: 1:   Euclidean Geometry Elsewhere LINKS
  13.    wt: 1:   Short Course on Euclidean Geometry
  14.    wt: 1:   11 Volume of Sphere
  15.    wt: 1:   10 Volume of Pyramid
  16.    wt: 1:   9 Volume of Cone
  17.    wt: 1:   5 Box Volume Formula Example
  18.    wt: 1:   8 GCD from Euclidean Algorithm
  19.    wt: 1:   Example 2 volume of a cone
  20.    wt: 1:   Example 1 volume of a pyramid
  21.    wt: 1:   Volume of Solid by Cross Sections Lesson
  22.    wt: 1:   A Related Material in Volume 3
  23.    wt: 1:   A Related lessons in Volume 3
  24.    wt: 1:   Chapter 31 Direct and Indirect Reason
  25.    wt: 1:   Chapter 4 Longer Chains of Reason
  26.    wt: 1:   Chapter 3 Chains of Reason
  27.    wt: 1:   Postscript C Consistency as a Tool for Reason
  28.    wt: 1:   Postscript B More on Story Telling and Reason
  29.    wt: 1:   Chapter 24 Direct and Indirect Reason
  30.    wt: 1:   Chapter 16 Origins and Limitations of Rules and Patterns
  31.    wt: 1:   Chapter 11 Accidental Patterns
  32.    wt: 1:   Chapter 7 Longer Chains of Reason
  33.    wt: 1:   Chapter 6 Chains of Reason
  34.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  35.    wt: 1:   I. Logic and language skills
  36.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  37.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  38.    wt: 1:   Helping the Blind in Logic and Mathematics
  39.    wt: 1:   More Algebra and Slope based Calculus Preview
  40.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  41.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

Extended Search

238 matches:

  1.    wt: 8:   Chapter 13 Geometric Thinking Euclidean Model For Reason
  2.    wt: 7:   Postscript C Consistency as a Tool for Reason
  3.    wt: 7:   Postscript B More on Story Telling and Reason
  4.    wt: 7:   Chapter 24 Direct and Indirect Reason
  5.    wt: 7:   Chapter 16 Origins and Limitations of Rules and Patterns
  6.    wt: 7:   Chapter 11 Accidental Patterns
  7.    wt: 7:   Chapter 7 Longer Chains of Reason
  8.    wt: 7:   Chapter 6 Chains of Reason
  9.    wt: 6:   Postscript D Reflections on Law of the Excluded Middle
  10.    wt: 6:   Postscript A Story Telling
  11.    wt: 6:   Chapter 23 Truth Tables
  12.    wt: 6:   Chapter 22 Contrapositive and Vacuously True Implications
  13.    wt: 6:   Chapter 21 Occurrence Tables
  14.    wt: 6:   Chapter 20 Shorthand Symbols as Pronouns
  15.    wt: 6:   Chapter 19 What is in chapters 20 to 24
  16.    wt: 6:   Chapter 18 Sense and Knowledge
  17.    wt: 6:   Chapter 17 Objective Ways Trial and Error Discovery
  18.    wt: 6:   Chapter 15 Objective Processes
  19.    wt: 6:   Chapter 14 Deductive and Empirical Views of Mathematics
  20.    wt: 6:   Chapter 12 Islands and Divisions of Knowledge
  21.    wt: 6:   Chapter 10 Responsibility
  22.    wt: 6:   Chapter 9 What is in Chapters 10 to 18
  23.    wt: 6:   Chapter 8 Change of Language
  24.    wt: 6:   Chapter 5 Deception
  25.    wt: 6:   Chapter 4 Implication Rules Forwards and Backwards
  26.    wt: 6:   Chapter 3 What is in chapters 4 to 8
  27.    wt: 6:   Chapter 2 Skill Development
  28.    wt: 6:   Chapter 1 Introduction
  29.    wt: 6:   Three Remarks
  30.    wt: 6:   Foreword
  31.    wt: 3:   Chapter 6 Rule Based Reason in Mathematics
  32.    wt: 2:   chapitre 12 00 les iles et division
  33.    wt: 2:   chapitre 07 01 principle D induction mathematique
  34.    wt: 2:   chapitre 07 00 Des chaines plus longues de la raison
  35.    wt: 2:   chapitre 06 00 Chaines de la raison
  36.    wt: 2:   chapitre 05 00 Deception
  37.    wt: 2:   chapitre 04 10 Etapes pour une meilleur raison
  38.    wt: 2:   chapitre 04 09 Regles accidentelles
  39.    wt: 2:   chapitre 04 08 Limitations et benefices
  40.    wt: 2:   chapitre 04 07 RepetablesEtReproductibles
  41.    wt: 2:   chapitre 04 06 engagements
  42.    wt: 2:   chapitre 04 05 Implication versus suggestion
  43.    wt: 2:   chapitre 04 04 Parlons de la logique
  44.    wt: 2:   chapitre 04 03 Unidirectionnel versus bidirectionnel
  45.    wt: 2:   chapitre 04 02 Deuxieme enigme
  46.    wt: 2:   chapitre 04 01 Premiere enigme
  47.    wt: 2:   chapitre 04 00 Les regles d implication
  48.    wt: 2:   chapitre 03 A Propos Des Prochains Chapitre
  49.    wt: 2:   chapitre 02 00 La Communication des idees
  50.    wt: 2:   chapitre 01 00 Introduction
  51.    wt: 2:   Euclidean Geometry Elsewhere LINKS
  52.    wt: 2:   Short Course on Euclidean Geometry
  53.    wt: 2:   Example 2 volume of a cone
  54.    wt: 2:   Example 1 volume of a pyramid
  55.    wt: 2:   Volume of Solid by Cross Sections Lesson
  56.    wt: 2:   Area Between Curves Lesson Take 2
  57.    wt: 2:   A Related Material in Volume 3
  58.    wt: 2:   Chapter 31 Direct and Indirect Reason
  59.    wt: 2:   Chapter 4 Longer Chains of Reason
  60.    wt: 2:   Chapter 3 Chains of Reason
  61.    wt: 2:   V Reasons and Motivations for Logic and Mathematics
  62.    wt: 2:   Math Free Euclidean Logic and Non Terminating Decimals 2 Topics
  63.    wt: 1:   Skills Chapter 4 Logic
  64.    wt: 1:   7 logic review and decimals an odd combination
  65.    wt: 1:   3 Euclidean Geometry Leanly
  66.    wt: 1:   teaching tutoring algebraic reason
  67.    wt: 1:   Different Kinds of Reasoning in maths
  68.    wt: 1:   three kinds of reason in mathematics
  69.    wt: 1:   13 Velocity Vectors in Physics
  70.    wt: 1:   PS H Distributive Law For Complex Numbers
  71.    wt: 1:   PS G Rotation Distributes over Addition
  72.    wt: 1:   PS F Scalar Multiplication Distributes over Addition
  73.    wt: 1:   PS E Multiplication with Polar Coordinates
  74.    wt: 1:   PS D Addition with Cartesian Coordinates
  75.    wt: 1:   PS C Similarity Use Recognize it in Trigonometry
  76.    wt: 1:   PS B Parallelogram Construction Methods
  77.    wt: 1:   PS A Kite Construction Methods
  78.    wt: 1:   21 Parallelograms
  79.    wt: 1:   19 Right Triangle Similarity
  80.    wt: 1:   18 Triangle Similarity Take 1
  81.    wt: 1:   17 Right Bisectors of Triangle Sides
  82.    wt: 1:   16 Angles Subtended By Chords and Diameters
  83.    wt: 1:   15 Triangle Angle Sum is 180 degrees
  84.    wt: 1:   14 Parallel Lines Postulate
  85.    wt: 1:   13 Angle Side Angle Failure
  86.    wt: 1:   12 Side Angle Side Failure
  87.    wt: 1:   11 Triangle Construction Fails
  88.    wt: 1:   10 Dropping a perpendicular to line
  89.    wt: 1:   9 Construction of a right bisector
  90.    wt: 1:   8 Isoceles Triangles
  91.    wt: 1:   7 Angle Side Angle
  92.    wt: 1:   6 Ruler and compass Angle Bisection
  93.    wt: 1:   5 Side Angle Side
  94.    wt: 1:   4 Side Side Side
  95.    wt: 1:   3 Isometry of Triangles Congruence
  96.    wt: 1:   2 Correspondence between Triangles
  97.    wt: 1:   1 Initial Concepts and Terms
  98.    wt: 1:   5 Areas of Rectangles Revisited
  99.    wt: 1:   4 Fraction Operations Axiomatic Development
  100.    wt: 1:   3 Inequalities Algebraically
  101.    wt: 1:   2 Fraction Operations Physical Development
  102.    wt: 1:   1 Decimals Modular and Remainder Arithmetic
  103.    wt: 1:   6 Equations and Systems Equivalent or Implied
  104.    wt: 1:   5 Equality in Algebra
  105.    wt: 1:   4 Subtraction and Division Axioms
  106.    wt: 1:   3 Product Axioms Two Forms
  107.    wt: 1:   2 Addition and Multiplication Axioms
  108.    wt: 1:   1 Equivalent Computation Rules
  109.    wt: 1:   11 Volume of Sphere
  110.    wt: 1:   10 Volume of Pyramid
  111.    wt: 1:   9 Volume of Cone
  112.    wt: 1:   5 Box Volume Formula Example
  113.    wt: 1:   8 GCD from Euclidean Algorithm
  114.    wt: 1:   Example 1. Area Between x and x squared
  115.    wt: 1:   Area Between Crossing Curves Lesson Take 2
  116.    wt: 1:   Area Between Crossing Curves Lesson Take 1
  117.    wt: 1:   Example 4 with x function of y
  118.    wt: 1:   Example 3
  119.    wt: 1:   Example 2
  120.    wt: 1:   Example 1
  121.    wt: 1:   Area Between Curves Lesson Take 1
  122.    wt: 1:   Summary
  123.    wt: 1:   A Related lessons in Volume 3
  124.    wt: 1:   Postscript One Sided and Intermediate Value Theorems
  125.    wt: 1:   G.2 Lipshitz Conditions Integration Calculus Reform
  126.    wt: 1:   G.1 First Fundamental Theorem of Calculus
  127.    wt: 1:   G.6 Bounded Derivatives implies Lipshitz Continuity
  128.    wt: 1:   G.5 Motions With Bounded Velocities
  129.    wt: 1:   G.4 Lipschitz Continuity implies EquiContinuity
  130.    wt: 1:   G.3 Constant Difference Theorem Proof
  131.    wt: 1:   G.2 Differentiable Functions Mean Value Theorem
  132.    wt: 1:   G.1 Differentiable Functions Rolles Theorem
  133.    wt: 1:   F.5b Extreme Value Theorem
  134.    wt: 1:   F.5a Equicontinuity Theorems
  135.    wt: 1:   F.4 Finite Covering Theorem
  136.    wt: 1:   F.3 Intermediate Value Theorem
  137.    wt: 1:   F.2 Closed Range Theorem
  138.    wt: 1:   F.1 What Functions are Continuous
  139.    wt: 1:   E2 Algebraic Properties of Limits
  140.    wt: 1:   E1 Error Control Inequalities
  141.    wt: 1:   D2 Limits of Monotone Sequences
  142.    wt: 1:   D1 Sets and Sequences GLBs and LGBs
  143.    wt: 1:   C Triangle Inequalities
  144.    wt: 1:   B3 Bolzano Weierstrass Theorem
  145.    wt: 1:   B1 Pigeon Hole Principles from combinatorics
  146.    wt: 1:   PostScript For and Against Decimal Perspectives
  147.    wt: 1:   A1. Introduction
  148.    wt: 1:   Foreword Calculus Reform and Proofs Decimal Style A Postscript
  149.    wt: 1:   Postscript Pythagorean Theorem yet another proof
  150.    wt: 1:   Chapter 24 Logarithms Powers and Exponentials
  151.    wt: 1:   Chapter 23 Links To Trigonometry
  152.    wt: 1:   Chapter 22 Complex Numbers
  153.    wt: 1:   Chapter 21 Arrow Addition
  154.    wt: 1:   Chapter 20 Vectors and Complex Numbers
  155.    wt: 1:   Chapter 19. Exponentials and Natural Logarithms
  156.    wt: 1:   Chapter 18. Slopes Areas Integration
  157.    wt: 1:   Chapter 17. Area Approximation
  158.    wt: 1:   Chapter 16. Velocity Approximation
  159.    wt: 1:   Chapter 15. Slope Approximation
  160.    wt: 1:   Chapter 15. Algebraic Evaluation of Limits
  161.    wt: 1:   Chapter 14 Limits and Continuity with and sans Decimals
  162.    wt: 1:   Chapter 13. Acceleration
  163.    wt: 1:   Chapter 12. Units and Slopes
  164.    wt: 1:   Chapter 11. Graphing Slope versus Position
  165.    wt: 1:   Chapter 10 Slopes and Units
  166.    wt: 1:   Chapter 9 About First Courses in Calculus
  167.    wt: 1:   Chapter 8. Slope Interpretation
  168.    wt: 1:   Chapter 7 Slopes and Velocity
  169.    wt: 1:   Chapter 6. Slopes and Vertical Shifts
  170.    wt: 1:   Chapter 5. Slope Sign Tests
  171.    wt: 1:   Chapter 4. More Slope Sign Analysis
  172.    wt: 1:   Chapter 3. Slope Sign Analysis
  173.    wt: 1:   Chapter 2. Slopes and Ski Trails
  174.    wt: 1:   Chapter 1.Introduction
  175.    wt: 1:   Fall 1983 Calculus Appetizer
  176.    wt: 1:   Foreword
  177.    wt: 1:   Postscript More on Better Performance
  178.    wt: 1:   Postscript For Better Performance
  179.    wt: 1:   Appendix E. How To Study Mathematics and Why
  180.    wt: 1:   Appendix D. What to do in School and Why
  181.    wt: 1:   Appendix C. How to Read
  182.    wt: 1:   Appendix B. How To Learn
  183.    wt: 1:   Appendix A. Reading Guide For Next Appendices
  184.    wt: 1:   Chapter 30 Truth Tables
  185.    wt: 1:   Chapter 29 Contrapositive and Vacuously True Implications
  186.    wt: 1:   Chapter 28 Occurrence Tables
  187.    wt: 1:   Chapter 27 Shorthand Symbols as Pronouns
  188.    wt: 1:   Chapter 26 What is in chapters 27 to 31
  189.    wt: 1:   Chapter 25. Mathematical Induction Examples
  190.    wt: 1:   Chapter 24. Personal Investment and Pension EGS
  191.    wt: 1:   Chapter 23. Notation For Sums
  192.    wt: 1:   Chapter 22. Geometric Sums and Sequences
  193.    wt: 1:   Chapter 21. Third Reading Guide
  194.    wt: 1:   Chapter 20. Degrees and Radians
  195.    wt: 1:   Chapter 19. Functions and Sets
  196.    wt: 1:   Chapter 18. Rules for Algebra
  197.    wt: 1:   Chapter 17. Pythagorean Theorem Chinese Square Proof
  198.    wt: 1:   Chapter 16. Painless Theorem Proving
  199.    wt: 1:   Chapter 15. Solving Linear Equations
  200.    wt: 1:   Chapter 14. Forward and Backward Use of a Formula
  201.    wt: 1:   Postscript Unifying Theme A Fourth Skill For Algebra
  202.    wt: 1:   Chapter 13. Second Reading Guide
  203.    wt: 1:   Chapter 12. Shorthand Usage Guide
  204.    wt: 1:   Chapter 11. Why Shorthand
  205.    wt: 1:   Chapter 10 Describing and Changing Calculations
  206.    wt: 1:   Postscript What is a Variable
  207.    wt: 1:   Chapter 9 Talking about Numbers or Quantities
  208.    wt: 1:   Chapter 8 Three Skills For Algebra
  209.    wt: 1:   Solutions For Arithmetic Exercises
  210.    wt: 1:   Chapter 7 Prep for Calculus Arithmetic Exercises
  211.    wt: 1:   Chapter 6 Change of Language
  212.    wt: 1:   Chapter 5 Islands and Divisions of Knowledge
  213.    wt: 1:   Chapter 2 Implication Rules Forwards and Backwards
  214.    wt: 1:   Chapter 1 Introduction to Chapters 2 to 6
  215.    wt: 1:   Foreword
  216.    wt: 1:   Annotated Links to Material Elsehwere
  217.    wt: 1:   Postscript B Mathematics Education References
  218.    wt: 1:   Postscript A Three Remarks
  219.    wt: 1:   Chapter 12 Four Phases
  220.    wt: 1:   Chapter 11 Elementary Instruction
  221.    wt: 1:   Chapter 10 Transition
  222.    wt: 1:   Chapter 9 The Two Ends
  223.    wt: 1:   Chapter 8 Modern Instruction
  224.    wt: 1:   Chapter 7 Two Treatments of Geometry
  225.    wt: 1:   Chapter 5 Four References
  226.    wt: 1:   Chapter 4 Complex Numbers and Why Slopes
  227.    wt: 1:   Chapter 3 Algebra Difficulties
  228.    wt: 1:   Chapter 2 For and Against Mathematics
  229.    wt: 1:   Chapter 1 Introduction
  230.    wt: 1:   Foreword
  231.    wt: 1:   Q How Logic and Proofs extend Show Work Practices
  232.    wt: 1:   I. Logic and language skills
  233.    wt: 1:   Chapter 5 Coordinate Free and Coordinate Based Geometry
  234.    wt: 1:   Chapter 4 Logic for Reading Writing and Geometry etc
  235.    wt: 1:   Helping the Blind in Logic and Mathematics
  236.    wt: 1:   More Algebra and Slope based Calculus Preview
  237.    wt: 1:   Euclidean and Analytic Geometry with Complex Numbers and Trigonometry
  238.    wt: 1:   Phase 3. Logic and Mathematics with possible take home value 1 to 2 years

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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