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Roth, Wolff-Michael – For the Learning of Mathematics, 2016
It has become a truism to state that mathematical knowledge or "meaning" and the norms and practices of (school) mathematical communities are negotiated and socially constructed before individuals construct (internalize) them for themselves. In this study I suggest that the social in existing conceptualizations is based on a trivial…
Descriptors: Elementary School Mathematics, Grade 2, Mathematics Curriculum, Social Environment
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Radford, Luis – For the Learning of Mathematics, 2010
In this article, I focus on what can be termed "the domestication of the eye"--that is to say, the lengthy process during which we come to see and recognize things according to "efficient" cultural means. This is the process that converts the eye into a sophisticated intellectual organ--a "theoretician" as Marx put it. In particular, I focus on…
Descriptors: Grade 2, Perception, Culture, Individual Development
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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As the end result of metaphysics, the Kantian and constructivist mind is not present in the world but withdrawn into the netherworld of its representations and constructions.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
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Brizuela, Barbara; Schliemann, Analucia – For the Learning of Mathematics, 2004
In this article, the authors seek to re-conceptualize the perspective regarding students' difficulties with algebra. While acknowledging that students "do" have difficulties when learning algebra, they also argue that the generally espoused criteria for algebra as the ability to work with the syntactical rules for solving equations is…
Descriptors: Equations (Mathematics), Elementary School Mathematics, Elementary School Students, Problem Solving