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Peer reviewedMatsuhita, Kayo – Human Development, 1994
Pragmatic and semantic problem solving are examined as processes that enhance acquisition of mathematical knowledge. It is suggested that development of mathematical cognition involves restructuring and that math teachers can help restructure children's knowledge systems by providing them with situations in which semantic and pragmatic problem…
Descriptors: Abstract Reasoning, Children, Cognitive Development, Cognitive Processes
Tasmanian Education Dept., Hobart (Australia). – 1987
Learning activities and questioning skills that teachers in Tasmania can use to determine a child's mathematics understanding are presented. Covered topics include division, multiplication, subtraction, addition, sorting and classification, one-to-one correspondence, patterns, ordering, and counting. Included for each topic are the aim, needed…
Descriptors: Arithmetic, Classification, Cognitive Development, Concept Formation
Peer reviewedMulligan, Joanne – Mathematics Education Research Journal, 1992
Children's (n=70) solution strategies to a variety of multiplication and division word problems were analyzed to determine performance levels and strategies used. Solution strategies were classified at three levels: direct modeling with counting; no direct modeling with counting, additive, or subtractive strategies; and use of known derived facts.…
Descriptors: Cognitive Development, Cognitive Processes, Cognitive Style, Constructivism (Learning)
Download full textEnglish, Lyn D. – 1993
The focus of this report is children's construction and analogical transfer of mathematical knowledge during novel problem solving, as reflected in their strategies for dealing with isomorphic combinatorial problems presented in "hands-on" and written form. Case studies of 9-year-olds, one low and one high achieving in school…
Descriptors: Academic Achievement, Analogy, Case Studies, Cognitive Development
Mulcahy, Robert F., Ed.; And Others – 1991
This book presents 16 papers on programs and approaches that have been developed around the world to enhance learning and thinking skills for children and adults. Papers are divided among three main sections focussing respectively on issues and applications, specific applications to school content, and assessment and evaluation. Papers have the…
Descriptors: Cognitive Development, Cognitive Processes, Curriculum Development, Educational Environment
Chick, Helen L., Ed.; Vincent, Jill L., Ed. – International Group for the Psychology of Mathematics Education, 2005
The first volume of the 29th annual conference of the International Group for the Psychology of Mathematics Education contains plenary lecture and research forum papers as listed below. Short oral communications papers, poster presentations, brief summaries of discussion groups, and working sessions are also included in the volume. The plenary…
Descriptors: Educational Theories, Elementary School Mathematics, Semiotics, Mathematics Education
