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Direct linkFelix Lensing – For the Learning of Mathematics, 2024
Research in mathematics education constantly oscillates between theoretical or 'Is' questions and practical or 'Ought' questions: Researchers are not only pursuing theoretical questions by investigating what those involved in the teaching and learning of mathematics do, but they are also working on practical recommendations for what they ought to…
Descriptors: Mathematics Education, Educational Research, Teaching Methods, Learning Processes
Scheiner, Thorsten; Pinto, Marcia M. F. – For the Learning of Mathematics, 2022
Earlier approaches to sense-making in mathematics have looked at the ways students comprehend a mathematical concept. Recent research suggests that some students make sense not only of mathematical objects that have a being, but also of objects that have yet to become. In such cases, learning mathematics is not just an act of comprehending a given…
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Learning Processes
Scheiner, Thorsten; Bowers, David M. – For the Learning of Mathematics, 2023
This paper problematizes the metaphors of unpacking, deconstructing, and decompressing mathematics that are prevalent in discourses about mathematics teacher knowledge. It is argued that the logic of these metaphors is based on the reversibility of packing, constructing, and compressing mathematics and seems to suggest the view that knowledge is…
Descriptors: Mathematics Instruction, Teaching Methods, Colonialism, Mathematics Teachers
Peck, Frederick A. – For the Learning of Mathematics, 2022
In this paper I analyze a problem solving event in a secondary mathematics classroom. As the event unfolds, the teachers, including me, understand the event as involving interactions that were not related to learning. By adopting an expansive view of learning, I advance a different interpretation, that the interactions tell a story of student…
Descriptors: Mathematics Instruction, Secondary School Students, Learning Processes, Personal Autonomy
Rumbelow, Michael – For the Learning of Mathematics, 2021
"Where Mathematics Comes From" (Lakoff & Núñez 2000) proposed that mathematical concepts such as arithmetic and counting are constructed cognitively from embodied metaphors of actions on physical objects, and four actions, or 'grounding metaphors' in particular: collecting, stepping, constructing and measuring. This article argues…
Descriptors: Arithmetic, Mathematics Instruction, Mathematical Concepts, Figurative Language
Morgan, Patricia; Abrahamson, Dor – For the Learning of Mathematics, 2016
We consider designs for conceptual learning where students first engage in pre-symbolic problem solving and then articulate their solutions formally. An enduring problem in these designs has been to support students in accessing their pre-conceptual situated process, so that they can reflect on it and couch it in mathematical form. Contemplative…
Descriptors: Mathematics Education, Problem Solving, Learning Processes, Reflection
