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Visualizing the Geometric Series.
Peer reviewed Peer reviewed
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
Fraction Patterns--Visual and Numerical.
Peer reviewed Peer reviewed
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
Activities. Mathematics as Communication: Graphing Information Collected Over Time.
Peer reviewed Peer reviewed
Moody, Marian – Mathematics Teacher, 1990
Described is a learning activity that requires students to observe, read, and interpret graphs and organize and describe data. Included are the grade level, materials, objectives, prerequisites, directions, answers to questions, and copies of handouts. (KR)
Descriptors: Cognitive Development, Estimation (Mathematics), Graphs, Junior High Schools
Using Computer Visualization to Motivate and Support Mathematical Dialogues.
Peer reviewed Peer reviewed
Thomas, David A. – Journal of Computers in Mathematics and Science Teaching, 1992
Discusses the use of computer visualization to motivate and support mathematical dialogues. Describes the "Scientific Visualization Software Suite," a set of public domain visualization tools from the National Center for Supercomputing Applications. (Author/MDH)
Descriptors: Computer Assisted Instruction, Computer Software Reviews, Courseware, Discovery Learning
Fourth-Grade Book. Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades K-6.
Burton, Grace; And Others – 1992
The "Curriculum and Evaluation Standards for School Mathematics" (1989) provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. The document not only addresses what mathematics students should…
Descriptors: Arithmetic, Concept Formation, Curriculum Development, Curriculum Enrichment
Fifth-Grade Book. Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades K-6.
Burton, Grace; And Others – 1992
The "Curriculum and Evaluation Standards for School Mathematics" (1989) provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. The document not only addresses what mathematics students should…
Descriptors: Arithmetic, Concept Formation, Curriculum Development, Curriculum Enrichment
A Core Curriculum: Making Mathematics Count for Everyone. Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades 9-12.
Meiring, Steven P.; And Others – 1992
The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. When completed, it is expected that the Addenda Series will…
Descriptors: Concept Formation, Core Curriculum, Curriculum Design, Curriculum Development
Second-Grade Book. Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades K-6.
Burton, Grace; And Others – 1992
The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. This book, one in a series designed to interpret and…
Descriptors: Concept Formation, Curriculum Enrichment, Data Collection, Discovery Learning
Sixth-Grade Book. Curriculum and Evaluation Standards for School Mathematics Addenda Series, Grades K-6.
Burton, Grace; And Others – 1992
The 1989 document, "Curriculum and Evaluation Standards for School Mathematics," provides a vision and a framework for revising and strengthening the K-12 mathematics curriculum in North American schools and for evaluating both the mathematics curriculum and students' progress. This book, one in a series designed to interpret and…
Descriptors: Computer Assisted Instruction, Curriculum Enrichment, Data Analysis, Discovery Learning