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Math Secrets TM. Learning Enrichment and Personal Development Program. Students Learn their Neural/Cognitive Capacity and Capability. Cerebral Hard drive Glia Processing THz One Octagoogol bytes/c 10^800 data units storage 1.9 Terabytes!/g processing RAM. Origins of High Level Concepts.
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Math SecretsTM Learning Enrichment and Personal Development Program
Students Learn their Neural/Cognitive Capacity and Capability • Cerebral Hard drive • Glia Processing THz • One Octagoogol bytes/c • 10^800 data units storage • 1.9 Terabytes!/g processing RAM
Origins of High Level Concepts • Culturally Relevant • Even, odd, prime numbers • African Origin of Math • World history in chess • King, queen, bishop, knight, castle, pawn • History and primes • Cosmic constants – φ,ε,π*
Conceptual ConnectionsIREP V. Communications IV. Calculus III. Algebra II. Geometry I. Arithmetic
Operation of UNION • Unitary principle of Convergence • Operations and expressions may be performed/represented interchangeably • Each are a refraction of the Operation of UNION
Multiplication through UNION • Multiply using Subtraction (multiples of 9) • Multiply 7 times 9 using Subtraction • Subtract 1 from 7 = 6 • Subtract 7 from 10 = 3 • 7 x 9 = 63 • No memory of tables required!
Multiplication through Division • Multiply 7 x 9 • Divide reciprocal (inverse) of 9 into 7 • Divide 0.11111 into 7 = 63 • 7 x 9 = 63 • No tables required!
Multiplication through Addition • Multiply 7 x 9 • Combine nine addends of 7 • 7+7+7+7+7+7+7+7+7 = 63 • No tables required!
Logic and Reasoning Modalities • Arithmetic • Geometric • Algebraic • Systemic • Multi-dimensional
Distinction between Arithmetic and Algebraic Thought • Beginning with three (3) cups and (10) coins, place an ODD number of coins in each cup. • Answer: • 1. Place any odd number of coins in cup #1 • 2. Place any odd number of coins in cup #2 • 3. Place remaining coins (even) in cup #3 • 4. Stack cup #2 into cup #3!
Foundations of Mathematical Constants • Meaning of Phi • Meaning of e • Foundation of Pi • Integral functions • Synchronicity and Convergence
Basis of Competency Students: * Integrate “Connecting Concepts” * Acquire “Powerful Tools” * Master “Simple Techniques” That promote Competency and Confidence
Creative Application of Pygmalion Effect • Students are engaged within a climate of High Level Expectation • Students will either live up, or down to the levels of their expectations! • Students very quickly realize their “unbounded” potential and competency • Students are inspired to challenge themselves beyond customary comfort levels
Proficiency Case Study Project • One of several creative “math scenarios” requiring integrated hierarchical math skills • Arithmetic, geometry, algebra, physics, astronomy, social science, statistics, etc. • Leadership role plays, collaborative learning, and research intensive • Facilitates literal, graphic, and mathematicalrepresentation and reasoning.
RESULTS! • Students in the St. Louis Metropolitan Statistical Area School Districts made intra-school gains by as much as 26 percent Adequate Yearly Progress (AYP) • Exceeded AYP gainsamong schools in control group by as much as 32.4 percent • Exceeded District, State, Inter-, and Intra-school statistical gains • Achieved advanced placement among AYP