Teaching and Learning About Whole Numbers in Primary School

Abstract

1 on the traditional teaching of arithmetic and helped to create a climate in which the study of mathematics education could flourish.At the same time, Piaget's constructivism (Piaget 1950;1953) was coming to the attention of mathematics education researchers.Gérard Vergnaud, one of Piaget's students, co-founded with Guy Brousseau the French society for the study of didactics of mathematics in the 1970s and wrote his theory of conceptual fields, which drew on Piaget's ideas and which has had a huge impact on mathematics education research.In the same year, the National Council of Teachers of Mathematics in the United States founded the Journal for Research in Mathematics Education (JRME) to provide more information on theoretical foundations and methods than was possible in the journals it already published, Arithmetic Teacher and Mathematics Teacher (Johnson 1970).Piaget's influence on the research published in the first 10 years of JRME is registered in some 20 papers that report research on conservation (Becher 1978;Callahan and Passi 1971;Carpenter and Lewis 1976;

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