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Siegel, Marjorie; Borasi, Raffaella – Focus on Learning Problems in Mathematics, 1992
Explores the learning opportunities that might be created in mathematics instruction if reading were reconceptualized as described in the NCTM statement on communication. Develops the notion of "reading to learn mathematics" by enunciating and illustrating its key components. (44 references) (MDH)
Descriptors: Educational Change, Educational Strategies, Elementary Secondary Education, Integrated Activities
Cobb, Paul – Focus on Learning Problems in Mathematics, 1991
Challenged is the traditional model for the transmission of mathematics in the elementary school classroom. An inquiry approach to learning mathematics is proposed and supported with results of a year long research project that exposed second graders to mathematical learning experiences using this approach. (MDH)
Descriptors: Beliefs, Cognitive Development, Cognitive Processes, Concept Formation
Behr, Merlyn; Harel, Guershon – Focus on Learning Problems in Mathematics, 1990
Discussed are some situations students face that result in cognitive conflict, possible sources of these conflicts, and strategies which students use to resolve, remove, or circumvent them. A global account for observed systematic errors is offered based on a general problem-solving rule called the "Matching Rule." (KR)
Descriptors: Abstract Reasoning, Cognitive Development, Cognitive Dissonance, Cognitive Structures
Garofalo, Joe – Focus on Learning Problems in Mathematics, 1992
Illustrates and discusses one class of strategies to solve word problems referred to as "number-consideration strategies." Contrasts actions and goals of students who focus mainly on number considerations with those of students who focus mainly on problem understanding. (MDH)
Descriptors: Cognitive Processes, Context Effect, Elementary Education, Learning Strategies