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Volume 1B
Mathematics
Curriculum
Notes
progressive,
observable,
skill development needed.
Volume
1 = 1A+1B
bounded together |
11 Cue Cards
11 Counting
11 Decimals - Addition
11 Decimals -Times
11 Decimals & Subtraction
11 Fractions and Division
11 Notational Conflict
11 Reciprocals Etc
11 Decimals - Ratios
11 Size Comparison
11 Numbers, +ve or -ve
11 Rename < Sign
11 Complex Numbers
Foreword
1. Introduction [4]
2 For & Against Math
3 Algebra [3]
4 Why Slopes & Complex No. [2]
5 References - Past Efforts
6 Euclidean Logic
7 Geometry in 2 Ways
8 Modern Instruction
9 The Two Ends
10 The Transition [3]
11 Primary School Math [13]
12 Four Phases
This explanation
of What
is a Variable differs from the common view (letters in algebra are
variables) and is compatible with the pure math view (variable in maths are placeholders for
element of a set).
Amazon Link: The VNR Concise
Encyclopedia of Mathematics
Amazon Book Ad:
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Chapter 11: Cue Cards, a Verbal Start
Primary school students, from five to ten years old say,
may see learning as part of the process of becoming an
adult. Why learn this or that need not be explained in the
first instance – an instance that is all to fleeting. Some
persuasion as to why learn will be eventually required as
otherwise initial reasons and enthusiasm for school, if any,
will be lost.
In teaching these students to read, we introduce them to
the alphabet and possibly the digits 1, 2, 3, 4, 5, 6, 7, 8
and 9. The mastery of arithmetic requires some minimal
reading skills: at least recognition of the symbols 1, 2, 3,
4, 5, 6, 7, 8 and 9. In counting, numbers describe how many.
Just as a child may learn to recognize the word cat
with the aid of a live animal or a picture on a cue card.
The child may similarly learn to recognize the digits 1 to
9, and possibly the digit zero 0, standing for nothing –
the content of an empty bag. Imagine a cue card bearing the
digit 4 or the word four along with the image of four
like or unlike objects by themselves or in a container. Cue
cards can also help children name and recognize common
geometric shapes: squares, circles, disks, triangles, etc.
And so, a mastery of some mathematics may begin.
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www.whyslopes.com
site
search
Parents: Help
your Child/Teen Learn covers Speaking
Skills, Reading
& Writing,
Preparing for Science &
Having Patience, etc
Math How-TOs
1. Arithmetic
2. Algebra
3. More
Algebra 4. Geometry
5 More
Geometry 6. Calculus
>> densely written
>> use as skill checklists
Online
Volumes (orders)
1, Elements of
Reason. 1996
1A. Pattern
Based Reason 1995
1B. Math
Curriculum Notes 1996
2. Three
Skills for Algebra 1995
3 .Why.Slopes.&.More.Math.1995
Skill
& Concept
Review or Development
1. Decimal
Arith - Video Based ]
2 Fractions
3. Fractions
with Units
3. Solving
Linear Equations -
making alg easier
4. Formulas
forwards & Backwards - unifying theme for Algebra
5. Proportionality,
Back- & For-wards - theme at work.
6. Logic
- Math Free, good for precision in work & studies
7. Euclidean-Geometry
(leanly)
8. Slopes
and Lines
9. Why
Study Slopes - a context
10. Quadratics
11 Polynomials
12 Factored
Polys - a context
13 Functions
- For-& Back -wards
14 Number
Theory, Richly
15. Exponents,
Radicals & logs.
16 Calculus
- Examples & Advice
17. Real
Analysis
18
Electric
Circuits Etc (So So)
19 Maps,
Similarity & Trig, (alt view)
20 Complex
numbers
21
Logic with Symbols+truth tables
22 Consistent
Story Telling
23. Even
More Logic
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