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Peer reviewedThompson, Frances M. – Mathematics Teacher, 1992
Presents activities that use visual-geometric models to help students develop their understanding of exponents and division of powers with the same base. Presents opportunities for students to discover patterns for themselves and communicate these findings to others. (MDH)
Descriptors: Cognitive Development, Concept Formation, Diagrams, Discovery Learning
Peer reviewedAvital, Shmuel; Barbeau, Edward J. – For the Learning of Mathematics, 1991
Presents 13 examples in which the intuitive approach to solve the problem is often misleading. Presents analysis of these problems for five different sources of misleading intuitive generators: lack of analysis, unbalanced perception, improper analogy, improper generalization, and misuse of symmetry. (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Generalization, Geometric Concepts
Peer reviewedOkolica, Steve; Macrina, Georgette – Mathematics Teacher, 1992
Describes a geometry course that integrates transformation geometry into traditional high school geometry. Discussion of the scope and sequence of the course includes the topics of proof, congruence, translations, rotations, reflections, dilations, quadrilaterals, parallel lines, and similarity. (MDH)
Descriptors: Cognitive Development, Concept Formation, Congruence (Mathematics), Course Descriptions


