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Direct linkSpeiser, Robert; Schneps, Matthew H.; Heffner-Wong, Amanda; Miller, Jaimie L.; Sonnert, Gerhard – Journal of Mathematical Behavior, 2012
In school, at least in the US, we were taught to multiply by hand according to a standard algorithm. Most people find that algorithm difficult to use, and many children fail to learn it. We propose a new way to make sense of this difficulty: to treat explicit computation as perceptually supported physical and mental action. Based on recent work in…
Descriptors: Evidence, Mathematics, Urban Schools, Short Term Memory
Hackenberg, Amy J.; Tillema, Erik S. – Journal of Mathematical Behavior, 2009
This article reports on the activity of two pairs of sixth grade students who participated in an 8-month teaching experiment that investigated the students' construction of fraction composition schemes. A fraction composition scheme consists of the operations and concepts used to determine, for example, the size of 1/3 of 1/5 of a whole in…
Descriptors: Numbers, Concept Formation, Grade 6, Mathematics Instruction
Peer reviewedLampert, Magdalene – Journal of Mathematical Behavior, 1986
How multiplication is usually taught in school and how it could be taught are discussed. Development of understanding is illustrated through children's words and work. (MNS)
Descriptors: Cognitive Development, Concept Formation, Elementary Education, Elementary School Mathematics
