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Bennett, Albert B., Jr. – Mathematics Teacher, 1989
Mathematical proofs often leave students unconvinced or without understanding of what has been proved, because they provide no visual-geometric representation. Presented are geometric models for the finite geometric series when r is a whole number, and the infinite geometric series when r is the reciprocal of a whole number. (MNS)
Descriptors: Diagrams, Geometric Concepts, Mathematical Models, Mathematics Instruction
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Bennett, Albert B., Jr. – Arithmetic Teacher, 1978
The number concepts of greatest common divisor and least common multiple are related to star patterns created through line designs. (JT)
Descriptors: Elementary Education, Elementary School Mathematics, Experiential Learning, Fractions
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Bennett, Albert B., Jr. – Mathematics Teacher, 1989
A visual model of fractions, the tower of bars, is used to discover patterns. Examples include equalities, inequalities, sums of unit fractions, sums of differences, symmetry, and differences and products. Infinite sequences of numbers, infinite series, and concepts of limits can be introduced. (DC)
Descriptors: Charts, Class Activities, Discovery Learning, Fractions