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Path Tracing and Vote Counting
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Lepowsky, William L. – Mathematics Teacher, 1976
The similarity between two apparently dissimilar problems is explored. Pascal's triangle is involved. (SD)
Descriptors: Instruction, Mathematical Models, Mathematics, Mathematics Education
The Lemming Simulation Pattern
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Reed, R. – Mathematics in School, 1974
An activity sequence is described. Several aspects of a population problem are developed using isoperimetric graph paper and symmetry principles to derive general rules. (SD)
Descriptors: Graphs, Induction, Learning Activities, Mathematical Models
Visualizing the Geometric Series.
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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
Three-Dimensional Discovery
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Prichett, Gordon D. – Mathematics Teacher, 1976
Geometric concepts and theorems can be discovered by high school students using the materials described. Among the topics explored are Platonic solids and Euler's formula. (SD)
Descriptors: Discovery Learning, Geometric Concepts, Geometry, Instruction
Mathematical Exercises in Paper Folding, Part VIII
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Brunton, James – Mathematics in School, 1975
The use of paper folding to demonstrate polygons which give plane tessellations, conic sections, and the solutions to several problems is described. (SD)
Descriptors: Experiential Learning, Geometric Concepts, Geometry, Instruction
Fraction Patterns--Visual and Numerical.
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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
Activities. Mathematics as Communication: Graphing Information Collected Over Time.
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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
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
Proceedings of the Conference of the International Group for the Psychology of Mathematics Education (30th, Prague, Czech Republic, July 16-21, 2006). Volume 4
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Novotna, Jarmila, Ed.; Moraova, Hana, Ed.; Kratka, Magdalena, Ed.; Stehlikova, Nad'a, Ed. – International Group for the Psychology of Mathematics Education, 2006
This document contains the fourth volume of the proceedings of the 30th Conference of the International Group for the Psychology of Mathematics Education. Conference presentations are centered around the theme "Mathematics at the Centre." This volume features 59 research reports by presenters with last names beginning between Kun and…
Descriptors: Program Effectiveness, Foreign Countries, Teacher Education, Psychology