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Peer reviewedKamii, Constance; Warrington, Mary Ann – Hiroshima Journal of Mathematics Education, 1995
Describes an attempt to encourage fifth- and sixth-graders to invent their own ways of solving problems involving division with fractions. Emphasizes the importance of social interaction in Piaget's constructivism and explains why debate and verification are important for children's construction of logico-mathematical knowledge. (22 references)…
Descriptors: Algorithms, Constructivism (Learning), Division, Elementary Education
Peer reviewedKamii, Constance; And Others – Arithmetic Teacher, 1993
Prior studies indicate that, given time to develop their own algorithms, primary students will process multidigit addition or subtraction problems from left to right. Gives evidence to support that idea, describes methods of getting students to invent their own algorithms, and discusses advantages of child-invented procedures. (21 references) (MDH)
Descriptors: Addition, Algorithms, Classroom Communication, Computation
