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Stephan, Michelle; Akyuz, Didem – Journal for Research in Mathematics Education, 2012
This article presents the results of a 7th-grade classroom teaching experiment that supported students' understanding of integer addition and subtraction. The experiment was conducted to test and revise a hypothetical learning trajectory so as to propose a potential instructional theory for integer addition and subtraction. The instructional…
Descriptors: Mathematics Education, Numbers, Concept Formation, Subtraction
Steffe, Leslie P.; Cobb, Paul – Focus on Learning Problems in Mathematics, 1998
Discusses the development of multiplicative and divisional schemes within a constructivist framework. Illustrates child thinking and child methods relative to the meanings of these operations using interviews with children. Compares the constructivist perspective on the development of meanings of multiplication and division to what is found in…
Descriptors: Arithmetic, Concept Formation, Constructivism (Learning), Division

Kamii, Constance; Warrington, Mary Ann – Hiroshima Journal of Mathematics Education, 1997
Describes a method for teaching multiplication of fractions based on Piaget's constructivism. Instead of teaching the algorithm of multiplying the numerators and denominators, students are presented with many problems and ask to invent their own ways of solving them. (DDR)
Descriptors: Arithmetic, Cognitive Processes, Concept Formation, Constructivism (Learning)

Mukhopadhyay, Swapna – Hiroshima Journal of Mathematics Education, 1997
Examines the performance of children in different grades as they attempt to solve simple equations involving addition and subtraction of integer numbers. The extended task involves creating a story that matches the equations. (DDR)
Descriptors: Arithmetic, Cognitive Processes, Concept Formation, Constructivism (Learning)

Wentworth, Nancy M.; Monroe, Eula Ewing – Mathematics Teaching in the Middle School, 1995
Discusses ways teachers can encourage students to construct useful meanings for the fractional unit. Provides three examples of representations of common fractions and illustrates misconceptions in fraction problems. Includes a brief summary of constructivist mathematics education and an example in which a teacher misunderstands a fractional unit.…
Descriptors: Arithmetic, Concept Formation, Constructivism (Learning), Fractions
Wood, Terry, Ed.; Cobb, Paul, Ed.; Yackel, Erna, Ed.; Dillion, Deborah, Ed. – 1993
This monograph chronicles a field-based investigation of children's learning in a second grade mathematics classroom over the course of a school year. The interrelated aspects of the processes by which children learn mathematics with meaning are illustrated here. The investigation was expanded to include a sociological analysis in an attempt to…
Descriptors: Arithmetic, Basic Skills, Classroom Environment, Cognitive Psychology
Zazkis, Rina; Campbell, Stephen – 1994
This study contributes to a growing body of research on the development of elementary teacher's content knowledge of mathematics. Individual clinical interviews were conducted with preservice elementary teachers (N=21) enrolled in a professional development course called "Foundations of Mathematics for Teachers." An instrument that…
Descriptors: Abstract Reasoning, Arithmetic, Concept Formation, Constructivism (Learning)
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