Math Secrets. Wisdom Institute Education District (c) 1998 Math Secrets TM Learning Enrichment and Personal Development Program

Math Secrets. Wisdom Math Secrets. Wisdom Institute Education Institute Education District (c) 1998District (c) 1998

Math SecretsMath SecretsTMTM

Learning Enrichment and Personal Learning Enrichment and Personal Development ProgramDevelopment Program


Students Learn their Neural/Cognitive Students Learn their Neural/Cognitive Capacity and CapabilityCapacity and Capability

• Cerebral Hard driveCerebral Hard drive

• Glia Processing THzGlia Processing THz

• One Octagoogol bytes/cOne Octagoogol bytes/c

• 10^800 data units 10^800 data units storagestorage

• 1.9 Terabytes!/g 1.9 Terabytes!/g processing RAMprocessing RAM


Origins of High Level ConceptsOrigins of High Level Concepts

• Culturally RelevantCulturally Relevant

• Even, odd, prime numbersEven, odd, prime numbers

• African Origin of MathAfrican Origin of Math

• World history in chessWorld history in chess

• King, queen, bishop, King, queen, bishop, knightknight, castle, pawn, castle, pawn

• History and primes History and primes

• Cosmic constants – Cosmic constants – φφ,,εε,,ππ**


Conceptual ConnectionsConceptual ConnectionsIREPIREP

I. Arithmetic

II. Geometry

III. Algebra

IV. Calculus

V. Communications


Operation of Operation of UNIONUNION

• Unitary principle of Unitary principle of ConvergenceConvergence

• Operations and Operations and expressions may be expressions may be performed/represented performed/represented interchangeablyinterchangeably

• Each are a refraction of Each are a refraction of the Operation of the Operation of UNIONUNION


Multiplication through UNIONMultiplication through UNION

• Multiply using Subtraction (multiples of 9)Multiply using Subtraction (multiples of 9)

• Multiply 7 times 9 Multiply 7 times 9 using Subtractionusing Subtraction

• Subtract 1 from 7 = Subtract 1 from 7 = 66

• Subtract 7 from 10 = 3Subtract 7 from 10 = 3

• 7 x 9 = 637 x 9 = 63

• No memory of tables required!No memory of tables required!


Multiplication through DivisionMultiplication through Division

• Multiply 7 x 9Multiply 7 x 9

• Divide reciprocal (inverse) of 9 into 7Divide reciprocal (inverse) of 9 into 7

• Divide 0.11111 into 7 = 63Divide 0.11111 into 7 = 63

• 7 x 9 = 637 x 9 = 63

• No tables required!No tables required!


Multiplication through AdditionMultiplication through Addition

• Multiply 7 x 9Multiply 7 x 9

• Combine nineCombine nine addends addends of 7 of 7

• 7+7+7+7+7+7+7+7+7 = 637+7+7+7+7+7+7+7+7 = 63

• No tables required!No tables required!


Logic and Reasoning ModalitiesLogic and Reasoning Modalities

• Arithmetic Arithmetic

• Geometric Geometric

• AlgebraicAlgebraic

• Systemic Systemic

• Multi-dimensionalMulti-dimensional


Distinction between Distinction between ArithmeticArithmetic and and AlgebraicAlgebraic Thought Thought

• Beginning with three (3) cups and (10) coins, Beginning with three (3) cups and (10) coins, place an ODD number of coins in each cup.place an ODD number of coins in each cup.

• Answer: Answer:

• 1. Place any odd number of coins in cup #11. Place any odd number of coins in cup #1

• 2. Place any odd number of coins in cup #22. Place any odd number of coins in cup #2

• 3. Place remaining coins (even) in cup #33. Place remaining coins (even) in cup #3

• 4. Stack cup #2 into cup #3!4. Stack cup #2 into cup #3!


Foundations of Mathematical ConstantsFoundations of Mathematical Constants

• Meaning of Phi Meaning of Phi

• Meaning of Meaning of ee

• Foundation of PiFoundation of Pi

• Integral functionsIntegral functions

• Synchronicity and Synchronicity and ConvergenceConvergence


Basis of CompetencyBasis of Competency

Students:Students:

* Integrate “* Integrate “Connecting Concepts”Connecting Concepts”

* Acquire * Acquire “Powerful Tools”“Powerful Tools”

* Master * Master “Simple Techniques”“Simple Techniques”

That promote Competency and ConfidenceThat promote Competency and Confidence


Creative Application of Pygmalion Creative Application of Pygmalion EffectEffect

• Students are engaged within a climate of High Level Students are engaged within a climate of High Level ExpectationExpectation

• Students will either live up, or down to the levels of Students will either live up, or down to the levels of their expectations!their expectations!

• Students very quickly realize their Students very quickly realize their “unbounded”“unbounded” potential and competencypotential and competency

• Students are inspired to challenge themselves beyond Students are inspired to challenge themselves beyond customary comfort levelscustomary comfort levels


Proficiency Case Study ProjectProficiency Case Study Project

• One of several creative One of several creative “math scenarios”“math scenarios” requiring requiring integrated hierarchical math skillsintegrated hierarchical math skills

• Arithmetic, geometry, algebra, physics, astronomy, Arithmetic, geometry, algebra, physics, astronomy, social science, statistics, etc.social science, statistics, etc.

• Leadership role plays, collaborative learning, and Leadership role plays, collaborative learning, and research intensiveresearch intensive

• Facilitates Facilitates literalliteral, , graphicgraphic,, and and mathematicalmathematical representation and reasoning.representation and reasoning.


RESULTS!RESULTS!

• Students in the St. Louis Metropolitan Statistical Area Students in the St. Louis Metropolitan Statistical Area School Districts made School Districts made intra-school gainsintra-school gains by as much by as much as as 26 percent Adequate Yearly Progress (AYP)26 percent Adequate Yearly Progress (AYP)

• Exceeded Exceeded AYP gainsAYP gains amongamong schools in schools in control groupcontrol group by as much as by as much as 32.4 percent32.4 percent

• Exceeded District, State, Inter-, and Intra-school Exceeded District, State, Inter-, and Intra-school statistical gainsstatistical gains

• Achieved Achieved advanced placementadvanced placement among AYP among AYP

Documents

Math Secrets. Wisdom Institute Education District (c) 1998 Math Secrets TM Learning Enrichment and Personal Development Program