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learn more
Tell your students: Getting help in
doing your homework is fine, but identifying the source of your weakness
(examples fractions are hard, the role of letters in math is a mystery, too
much algebra in calculus, I became lost there and there and there, not
understanding exactly what a text book or notes says or means, there, there
and there) is even better.
Word processors and spell checkers to help us write. Yet to
read and write, we still need to learn the alphabet and how to use words.
Likewise, calculators and spreadsheets may help us with arithmetic, but to
mathematics, we still need to learn methods to represent, compare add,
multiply, subtract and divide whole numbers <101 by themselves or in
fractions, and how to use or describe arithmetic. Decimals approximation are
fine until we need to do arithmetic & algebra exactly in ways others can
follow.
Two Treatments of Geometry
Euclidean Geometry is cover in this site area. The right column links to the
treatment of analytic geometry, etc, in another site area. Bon Appetit.
More from Volume 2, Three Skills for Algebra
Complex Numbers, Trig and Vectors
An Earlier Treatment.
| Complex
Numbers (2001) - an earlier development with
connections to vectors and trig. Items B2 to B10 are still
recommended. |
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This Complex
Number (java) applet , online earlier, illustrates the addition
and multiplication of points, arrows and complex numbers in the plane.
See B2 to B10 for
the easy consequences of the key arithmetic properties of complex
numbers, normally algebraically described include the Pythagorean
theorem, trig formulas for dot- and cross-products, the cosine law and
a converse to the Pythagorean Theorem.
The sequence of lessons A1 to A6, B1 to B11, C1, C2
and D1 to D9 represents an older development of mateiral which can be
replaced by Analytic Geometry
lessons. In the older sequence the two webpages Complex
Numbers & Trig for Today's Students and Distributive
Law for Complex Numbers, could be read first and followed by easy
consequences B2 to B10.
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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
More Site
Sections & Topics
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,
20 Complex
numbers
21 Logic with Symbols+truth
tables
22 Consistent Story Telling
23. Even
More Logic
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