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Friedlander, Alex; Hershkowitz, Rina – Mathematics Teacher, 1997
Presents several examples of investigations which demonstrate the following: (1) algebra is connected to other mathematical topics; (2) algebra is an effective tool for representing patterns and relationships; and (3) algebra is an effective tool for analyzing patterns. (DDR)
Descriptors: Algebra, Concept Formation, Elementary Secondary Education, Learning Strategies
Hyerle, David – 1996
The brain works by making patterns, and this process can be visualized through a medium called visual tools. The book discusses three types of visual tools: brainstorming webs, task-specific organizers, and thinking-process maps. Sample lessons, assessments, and descriptions of visual tools in action are included. Emphasis is placed on the…
Descriptors: Brainstorming, Constructivism (Learning), Elementary Secondary Education, Higher Education

Andrews, Paul – Mathematics in School, 1990
Discussed are ways in which students can generalize both quadratic or cubic situations. Generalizations are produced using the factor method, repeated linear generalizations, means of the mean, and through the use of differences. (KR)
Descriptors: Computation, Elementary School Mathematics, Elementary Secondary Education, Factor Analysis

Long, Eleanor – Australian Mathematics Teacher, 1991
Chess experts remember meaningful knowledge in the form of networks or patterns. Applied to mathematics instruction, effective classroom approaches can use investigation to identify patterns or rules. Described are a class activity and a small-group activity to investigate addition of signed numbers and linear relationships. (MDH)
Descriptors: Classroom Techniques, Cognitive Processes, Concept Formation, Discovery Learning
Chick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
This document contains the second volume of the proceedings of the 29th Conference of the International Group for the Psychology of Mathematics Education. Conference papers are centered around the theme of "Learners and Learning Environments." This volume features 43 research reports by presenters with last names beginning between Adl…
Descriptors: Foreign Countries, Multilingualism, Research Reports, Symbols (Mathematics)