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Schloff, Charles E. – Arithmetic Teacher, 1969
Descriptors: Arithmetic, Division, Elementary School Mathematics, Instruction
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Cramer, Kathleen; Bezuk, Nadine – Arithmetic Teacher, 1991
Applies the Lesh Translation Model to develop conceptual understanding by showing relationships between five modes of representation proposed by Lesh to learn multiplication of fractions. Presents five teaching activities based on the translation model. (MDH)
Descriptors: Cognitive Development, Concept Formation, Elementary Education, Fractions
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Akaishi, Amy; Saul, Mark – Arithmetic Teacher, 1991
Presents seven scenes showing everyday classroom situations that give students the options of applying their own problem-solving strategies to solve everyday problems of life and enable them to experience mathematical power coming from self-initiated insights into mathematical concepts. (MDH)
Descriptors: Classroom Communication, Classroom Environment, Discovery Learning, Elementary Education
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Buschman, Larry – Arithmetic Teacher, 1993
Describes an activity that demonstrates a teaching-learning model in which students ask yes or no questions to determine an unknown number on a number line. Provides a sequence of five steps to carry out the activity and suggestions for extending and expanding the activity for different grade levels. (MDH)
Descriptors: Class Activities, Discovery Processes, Discussion (Teaching Technique), Elementary Education
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Sgroi, Richard J. – Arithmetic Teacher, 1992
Presents two spreadsheets for middle school students applying Polya's heuristic to help develop number sense, reasoning abilities, and problem-solving skills. Spreadsheet 1, "the coin problem," allows students to vary coin quantities to total $8.32. Spreadsheet 2, "ratios," develops number relationships while finding 3 3-digit…
Descriptors: Cognitive Processes, Computer Assisted Instruction, Computer Uses in Education, Elementary Secondary Education
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Greenes, Carole; And Others – Arithmetic Teacher, 1992
Describes seven problems designed to enhance the development of four types of student communication in mathematics: (1) describing observations; (2) justifying solutions and solution processes; (3) documenting thinking; and (4) completing or creating mathematical problems. (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Communication (Thought Transfer), Communication Skills
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Friel, Susan N. – Arithmetic Teacher, 1992
Provides excerpts from videotaped dialogue between two third grade students and their interactions with their teacher while solving a counting problem to describe student thinking and communication during the task. Discusses the teachers' role in the dialogue and implications for classroom practice. (MDH)
Descriptors: Classroom Techniques, Cognitive Processes, Elementary Education, Grade 3
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Fortunato, Irene; And Others – Arithmetic Teacher, 1991
Presents the results of a survey of 165 seventh grade students asked to respond yes, no, or maybe to 21 metacognitive statements about their cognitive activity on a mathematical word problem. Suggests how to use the responses as a basis for developing classroom activities. (MDH)
Descriptors: Cognitive Processes, Cognitive Style, Discussion (Teaching Technique), Grade 7