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Davis, Brent – For the Learning of Mathematics, 2018
Based on input from several scholars, Gascón and Nicolás (2017) attempted "to start a dialogue aimed at laying the foundations for a better understanding and a scientific cooperation between different theories in Didactics." Consistent with that goal, I examine uninterrogated assumptions that shaped their analysis. I assert that such…
Descriptors: Mathematics Education, Educational Research, Educational Theories, Ideology
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Davis, Brent – For the Learning of Mathematics, 2014
An argument is presented for including exponentiation as a "basic" of school mathematics. Key elements of the argument include the topic's increasing relevance in a rapidly changing world and its utility for supporting understandings of role of analogy in mathematical thought. The discussion is illustrated with an account of a…
Descriptors: Mathematics Instruction, Mathematical Concepts, Grade 8, Inquiry
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Davis, Brent; Renert, Moshe – For the Learning of Mathematics, 2009
We report on a two-year "concept study" in which a cohort of middle school teachers collectively deconstructed and reconstructed the concept of multiplication. Defining concept study as a collaborative structure through which mathematics educators identify, interpret, interrogate, invent, and elaborate images, metaphors, analogies, examples,…
Descriptors: Mathematics Education, Middle School Teachers, Mathematics Teachers, Mathematical Concepts
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Davis, Brent – For the Learning of Mathematics, 2001
Discusses the question "why teach mathematics to all students"? Clarifies, elaborates, and abdicates a previous article on the same subject. (Contains 18 references.) (ASK)
Descriptors: Elementary Secondary Education, Equal Education, Mathematics Education, Relevance (Education)
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Davis, Brent – For the Learning of Mathematics, 1995
Attempts to answer the question, why teach mathematics? by drawing from recent developments in philosophy, biology, ecological thought, phenomenology, and curriculum theory. (23 references) (MKR)
Descriptors: Elementary Secondary Education, Mathematics, Mathematics Education, Mathematics Instruction