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Peer reviewed

Streefland, Leen – Educational Studies in Mathematics, 1984

Ideas on a teaching-learning theory of ratio are presented. Views of children and of members of an international panel are presented, and five questions and their responses are compared with real classroom experience. (MNS)

Descriptors: Cognitive Processes, Educational Research, Elementary Education, Elementary School Mathematics

Peer reviewed

Sfard, Anna – Educational Studies in Mathematics, 1991

This paper presents a theoretical framework for investigating the role of algorithms in mathematical thinking using a combined ontological-psychological outlook. The intent is to demonstrate that the processes of learning and of problem solving incorporate an elaborate interplay between operational and structural conceptualizations of the same…

Descriptors: Algorithms, Cognitive Development, Cognitive Structures, Concept Formation

Peer reviewed

Lerman, Stephen – Educational Studies in Mathematics, 1989

Examined is what radical constructivism in connection with Intuitionism might mean to mathematics instruction. Implications for mathematics education, especially the potential consequences for the teaching of mathematics of a relativist view of mathematical knowledge, are suggested. (YP)

Descriptors: Educational Philosophy, Epistemology, Learning, Mathematical Logic

Peer reviewed

Skovsmose, Ole – Educational Studies in Mathematics, 1985

The relationship between mathematical education (ME) and critical education (CE) is considered. Three alternatives in ME are discussed: structuralism, pragmatism, and process-orientation. These are related to key terms of CE to show the extent to which ME and CE contradict each other: there is no integration between the two. (MNS)

Descriptors: Educational Philosophy, Educational Theories, Learning Processes, Mathematics Education