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Direct linkEriksson, Gota – Journal of Mathematical Behavior, 2008
This article focuses on spontaneous knowledge-building in the field of "the arithmetic "of" the child." The aim is to investigate the conceptual progress of fifteen children during their early school years in the compulsory school. The study is based on the epistemology of radical constructivism and the methodology of…
Descriptors: Constructivism (Learning), Arithmetic, Epistemology, Teaching Methods
Peer reviewedSchliemann, Analucia Dias; And Others – Journal of Mathematical Behavior, 1993
A 14-year-old Brazilian boy in the fourth grade was given 170 problems orally, each asking for the sum of 2 2-digit numbers. Responses indicated he had invented his own algorithm for addition, similar to the school one, based largely on his experiences with money. (Contains 13 references.) (JAF)
Descriptors: Addition, Algorithms, Case Studies, Computation
Peer reviewedLauten, A. Darien; And Others – Journal of Mathematical Behavior, 1994
Describes five college and two high school students' understandings of function and limit in a graphics calculator-based environment and identifies instances where students' understanding seems to have been influenced by the availability of a graphing calculator. (27 references) (MKR)
Descriptors: Calculus, College Students, Constructivism (Learning), Functions (Mathematics)
