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Direct linkOktaç, Asuman; Trigueros, María; Romo, Avenilde – For the Learning of Mathematics, 2019
Certain aspects of theoretical frameworks in mathematics education can remain unexplained in the literature, hence unnoticed by the readers. It is thus interesting to participate in a dialogue where they can be discussed and compared in terms of the aims, objects studied, results and their relation to teaching. This study is focused on how APOS…
Descriptors: Mathematics Instruction, Learning Theories, Knowledge Level, Constructivism (Learning)
Ulrich, Catherine – For the Learning of Mathematics, 2015
This is the first of a two-part article that presents a theory of unit construction and coordination that underlies radical constructivist empirical studies of student learning ranging from young students' counting strategies to high school students' algebraic reasoning. My explanation starts with the formation of arithmetical units, which presage…
Descriptors: Mathematics Education, Secondary School Mathematics, High School Students, Constructivism (Learning)
Peer reviewedWinslow, Carl – For the Learning of Mathematics, 2000
Proposes an entirely different perspective and challenges both the current para-dogmatic character of constructivism in some quarters of mathematics education and the dismissive attitude towards 'humanist non-sense' in others. Discusses the linguistic aspects of mathematical knowledge through a language acquisition device and a language…
Descriptors: Constructivism (Learning), Elementary Secondary Education, Language, Learning Theories
Peer reviewedConfrey, Jere – For the Learning of Mathematics, 1994
Part 1 of a three-part article analyzing radical constructivism (as one interpretation of Piaget) and the socio-cultural perspective (as one interpretation of Vygotsky), including major principles, primary contributions to mathematics education, and potential limitations. Introduces an integration of the two theories through a feminist…
Descriptors: Constructivism (Learning), Elementary Secondary Education, Epistemology, Learning Theories
Peer reviewedVan Den Brink, Jan – For the Learning of Mathematics, 1995
Shows similarities between realism and radical constructivism by presenting examples of using children's ideas in order to create education in the context of teaching spherical geometry. (18 references) (MKR)
Descriptors: Constructivism (Learning), Geometry, Learning Theories, Mathematics Education
Peer reviewedChristiansen, Iben – For the Learning of Mathematics, 1999
Discusses the gap between educational theories and practice and focuses on constructivism in mathematics classrooms. Contains 12 references. (ASK)
Descriptors: Constructivism (Learning), Elementary Secondary Education, Learning Theories, Mathematics Instruction
