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Maheux, Jean-Francois; Roth, Wolff-Michael – For the Learning of Mathematics, 2011
Current conceptualizations of knowing and learning tend to separate the knower from others, the world they know, and themselves. In this article, we offer "relationality" as an alternative to such conceptualizations of mathematical knowing. We begin with the perspective of Maturana and Varela to articulate some of its problems and our alternative.…
Descriptors: Mathematics Instruction, Geometry, Learning, Critical Thinking
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Roth, Wolff-Michael – Curriculum Inquiry, 2013
In this article, I (1) argue for approaching processes, events-in-the-making, by means of process categories--to learn, to teach--not by means of categories that denote differences in state and (2) exemplify doing and writing research consistent with process philosophy. To understand process we must not think, research, and write them in terms of…
Descriptors: Curriculum, Educational Theories, Geometry, Elementary School Mathematics
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Bautista, Alfredo; Roth, Wolff-Michael – Educational Studies in Mathematics, 2012
Much of the evidence provided in support of the argument that mathematical knowing is embodied/enacted is based on the analysis of gestures and bodily configurations, and, to a lesser extent, on certain vocal features (e.g., prosody). However, there are dimensions involved in the emergence of mathematical knowing and the production of mathematical…
Descriptors: Mathematics Education, Geometric Concepts, Grade 3, Mathematics Instruction
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Roth, Wolff-Michael – For the Learning of Mathematics, 2010
As the end result of metaphysics, the Kantian and constructivist mind is not present in the world but withdrawn into the netherworld of its representations and constructions. First phenomenology then the embodied cognition research showed how there could be no cognition without the human body. There is something unsatisfying and lacking, however,…
Descriptors: Mathematics, Constructivism (Learning), Phenomenology, Social Systems