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Concrete Materials and Teaching for Mathematical ...

Concrete Materials and Teaching for Mathematical Understanding Patrick W. ThompsonCenter for Research in mathematics and Science EducationSan Diego State UniversityRunning Head: Concrete MaterialsP. W. Thompson, Concrete Materials and Teaching for mathematicalunderstanding, Arithmetic Teacher 41(9) (1994) 556-558. Preparation of this paper was supported by National Science Foundation GrantsNo. MDR 89-50311 and 90-96275, and by a grant of equipment from AppleComputer, Inc., Office of External Research. Any conclusions orrecommendations stated here are those of the author and do not necessarily reflectofficial positions of NSF or Apple Materials -1 Learning without thought is labor lost. ConfuciusAn experience is not a true experience until it is reflective. John DeweyToday there seems to be common agreement that effective mathematicsinstruction in the elementary grades incorporates liberal use of Concrete in The Arithmetic Teacher no longer exhort us to use concretematerials, nor did the professional standards for Teaching mathematics (National Council of Teachers of mathematics 1991) include a standard on theuse of Concrete Materials .

materials, nor did the Professional Standards for Teaching Mathematics (National Council of Teachers of Mathematics 1991) include a standard on the use of concrete materials. The use of concrete materials seems to be assumed unquestioningly. My aim in …

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