My mathtivities invoke accumulated resources of centuries. Ignored riches! The "divine madness" of mathematics relieves children from the contingency of classroom events, while planting the flowers of advanced concepts. And introduces children to "Life as a Pattern".

TABLE OF MATHTIVITIES (KIDMATH)

MATHTIVITY	AGE GROUP	DESCRIP.	HICONEK
Colored Multiplication Patterns: Colored Conservation Laws	3rd Grade, up	Multiples are colored to reveal conserved patterns projected by decimal base	Factor theory; "algebraic" patterns; physics conservation laws
Pecking Order	Preschool, up	Pattern like pecking order of chicks in barnyard	Lattice theory; additive-subtractive color theory; quarks in particle physics; hierarchies in business and military
Hoppy, the Kid-Friendly Computer	1st Grade, up	"Logic circuitry" child hops on flow-chart, giving computing commands to child hopping on "sidewalk" squares to calculate, write sentences, etc.	Turing tables; computer systems; algorithms
Hoppy's Box- Addition Trick (Algorithm)	1st Grade, up	Emptying sticks from one box to another; number in final box is sum of number of sticks in the 2 boxes	Transforms any addition problem into one a child easily solves; plants ideas of Bypass and G-Process
Hoppy's Stairstep- Subtraction Trick (Algorithm)	1st Grade, up	Minuend-child and subtrahend-child descend stairs in cadence; when subtrahend-child is at bottom, minuend-child's position is difference of subtraction problem	Transforms any subtraction problem into one a child easily solves; plants ideas of Bypass and G-Process
Hoppy's Vector Trick	2nd Grade, up	Like Hoppy's S-S Trick, except "subtrahend" now carries head of vector arrow, "minuend" carries its tail, when head at bottom, position of "tail" is vector length	Prepares for vector algebra; plants ideas of Bypass and G-Process
Trapping the Wild Word	4th Grade, up	Child picks "wild word" in dictionary of 1000 pages or less; 10 halvings of this interval finds page; 5 halvings of word position on page finds it	Interpretation in binary numeration used in computing; binary search is one of most efficient methods for search in "unimodel-space"; applications in math, science, business
Pegboard (or Tile) Geometry	2nd Grade, up	Irregular closed figure formed by string fixed on pegs; its area easily found by formula: A = i + b/2 - 1, i = interior pegs, b = boundary pegs	Prepares for synthetic geometry; actually very advanced Minkowski geometry (related to number theory)
Egyptian Keeper of the Grain	6th Grade, up	Like the Biblical Joseph, Pharoah appoints you Keeper of the Grain to prepare against the Years of the Famine	Use the 3-period moving average to estimate future demand, a method much in use in business math
Critter Census	5th Grade, up	Sample of 10 beans drawn randomly from jar of 10 red beans & 90 white beans, and proportion of red-to-white in sample is noted	Simulates estimations of wildlife populations, using formula of R. A. Fisher (as described in "Int. to Prob. Theory", v. I, W. Feller)
How to Build a Googol World in a Shoebox	3rd Grade, up	Shows that 9 independent elements created a googol (vast number) of choices	googol: 1 followed by 100 zeros
Measure-Worm Me	3rd Grade, up	A child derives units of length, weight, time, etc., from body characteristics, uses to charge tariff on "goods" passing border between his/her country and another's	Motivates study of fractions; introduces children to foundations of measurement which most students never study
TransTones	3rd Grade, up	permutations (interchanges) on various musical tones (as in chimes of "Big Ben")	Teaches combinatorics and groups , like "ringing all the changes on bells" in English Cathedral towns
TransChromes	3rd Grade, up	Like TransTones except	Uses colors
TransDanceSteps	3rd Grade, up	Like TransChromes	Ex cept uses dance steps
TransDramatics	3rd Grade, up	Like TransChromes except	Uses dramatic scenes
TransMantras	3rd Grade, up	Like TransChromes except	Uses mantras
Transtimuli	Infancy, up	Like TransChromes except uses different stimuli of cribsters	Such as light, sound, movements, etc.
Modified Musical Chairs Game	1st Grade, up	Like traditional game, except a chair is never removed, so that permutation of occupancy is noted as conservation of chair-child occupancy when music stops	Like global aspect of gauge conservation in particle physics, planting "a seed"
Musical Child-Chair Game	2nd Grade, up	"chair" is child wearing chair-like costume, during music a child and "chair" may interchange roles, with no "chair" removed, so have one-one correspondence when music stops	Like local invariance in gauge invariance of particle physics, "planting a seed"
Tinkertoy GrafLaf	Kindergarten, up	Open and closed grafs of rods and spools	Like graph theory, leading to distinction of different types of graphs, wide application in math, physics, business math, etc.
The Creeping Baby Group	Preschool, up	Kids creep (on knees and hands) to practice concatenation of creeps, pauses, inverse creeps	Later to be interpreted by teacher as constructing operations of a group: Closure, associativity, identity, inverse -- vast extension of group theory in math, physics, etc.
t-Lojit (Zero-Order Logic Mathtivity)	5th grade, up	Vowels for operations, consonants for operands, for conjunction ("A"), disjunction ("O"), implication ("I"), equivalence ("E"), negation ("U"), using Polish prefixtest for valid forms	Prepares for study of zero-order statement logic and its equivalents
o-Lojit (including t-Lojit)	6th Grade, up	Also with "Y" for x, ? for ?, for o-logic	Preparing for nonstandard ("Brouwerian" or Heyting) statement logic
Topo-me-this (like "Riddle-me-this")	Pre-School, on	"Riddler" indicates familiar structure (say, coffee mug); "riddlee" to say topological "clone" of doughnut