Re: [MATHEDCC] Curriculum Guide (generic)

Kirby Urner (pdx4d@teleport.com)
Tue, 03 Mar 1998 19:27:24 -0800

Here's some content outline for K-12 as per the Oregon Curriculum Network.
No effort made here to sort into grade levels. Just topics we would
like to visit pre-college (homeschooling parents can use this as a guide
as well).

The HTML versions are available via: http://www.inetarena.com/~pdx4d/ocn/

Kirby Urner
Curriculum writer
4D Solutions

---------------

SYMBOLS AND OPERATIONS

Overview

Symbols

Storage and Retrieval
Binary system and Permutations
ASCII
Keyboards, alphanumeric sets
256 extended code page maps to symbols
Unicode
History and Prospects
Overview of Alphabets and Ideograms

Numbers

Ordering Permutations
Abacus and Place Value with zero as 'no beads' symbol
Symbols in the sand when no abacus handy (numerals)
Place value and bases

Operators
Unary and binary operators
Overview of calculator functions
Boolean logic

Math Notations

Variables
Function notation
Sigma notation
Polynomials and Roots of Equations
Arrays
Sub/super scripts
Matrix Notation
Algorithms
Overview of flow structures
Databases for storage/retrieval (lookup tables, key
fields, SQL)
Business rules, triggers, stored procedures, data
validation

---------------

SPATIAL CONCEPTS

Static Networks

Euler's Law (V+F=E+2)
Descartes' Angular Deficit
Taxonomies of Polyhvertexia (=polyhedra)
The ArchiPlatonics and "Periodic Tables" for Polyhedra
Transformations (morphs)
Concentric Hierarchy
Primitive Volumes
Frequency and Powering
Jitterbug Transformation

Rotating Networks

Axes of Spin
Great Circle Networks
Central and Surface Angles
Symmetry Families
3,4-fold Symmetry
Root of 2
A & B-modules
5-fold Symmetry
phi
T-modules
LCD triangles


Macro & Micro Architecture

3,4-fold Symmetry
crystals
octet truss
5-fold Symmetry
quasicrystals
fullerenes and nanotechnology
geodesic domes
viral sheaths


---------------

Kirby

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