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Bossé, Michael J.; Bayaga, Anass; Fountain, Catherine; Sevier, John – International Journal for Mathematics Teaching and Learning, 2021
This study applies a framework for mathematical cognition and learning (Bossé, et al., 2018a; Bossé et al., 2019; Bossé et al., 2018b) to examples of students' comprehension of geometric concepts related to angles. This framework utilizes key concepts from second language acquisition (SLA) to elucidate processes involved in mathematical learning.…
Descriptors: Geometry, Mathematical Concepts, Mathematics Instruction, Concept Formation
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Bossé, Michael J.; Young, Erica Slate; Bayaga, Anass; Lynch-Davis, Kathleen; DeMarte, Ashley M.; Fountain, Catherine – International Journal for Mathematics Teaching and Learning, 2020
While one branch of literature is replete with investigations of problem solving and another branch frequently investigates student use of dynamic mathematics environments (DMEs), most of the studies in both of these fields consider whether or not students can solve problems. Far fewer number of studies consider the cognitive processes associated…
Descriptors: Cognitive Processes, Problem Solving, Mathematics Education, Mathematics Skills
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Bossé, Michael J.; Bayaga, Anass; Fountain, Catherine; Young, Erica Slate – International Journal for Mathematics Teaching and Learning, 2019
This study investigates representational code-switching (RCS) by considering three high school students' communications in the process of comparing and contrasting pairs of representations (e.g., equation and graph) in the context of rational functions. Supporting this study is research in the realms of students interacting with mathematical…
Descriptors: Code Switching (Language), Mathematics Instruction, Mathematical Concepts, Concept Formation
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Bossé, Michael J.; Ringler, Marjorie Campo; Bayaga, Anass; Fountain, Catherine; Young, Erica Slate – International Journal for Mathematics Teaching and Learning, 2018
Research in second language acquisition and the learning of mathematics has matured through long, albeit disconnected, histories. This study examines how theories and models of second language acquisition can be applied to the learning of mathematics and, through this, develops a novel framework defining stages in the learning of mathematics. This…
Descriptors: Second Language Learning, Mathematics Instruction, Teaching Methods, Cognitive Processes