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Bossé, Michael J.; Bayaga, Anass; Lynch-Davis, Kathleen; DeMarte, Ashley M. – International Journal for Mathematics Teaching and Learning, 2021
In the context of an analytical geometry, this study considers the mathematical understanding and activity of seven students analyzed simultaneously through two knowledge frameworks: (1) the Van Hiele levels (Van Hiele, 1986, 1999) and register and domain knowledge (Hibert, 1988); and (2) three action frameworks: the SOLO taxonomy (Biggs, 1999;…
Descriptors: Geometry, Mathematics Instruction, Teaching Methods, Taxonomy
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
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