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Morris, Emily; Bossé, Michael J.; Sevier, John – International Journal for Mathematics Teaching and Learning, 2022
Students enrolled in post-secondary developmental mathematics courses hold mathematical misunderstandings that begin before their college careers. Specifically, these students struggle with conceptual understanding of fractions, ratios, and proportions. The Common Core State Standards in Mathematics outline standards for K-12 mathematics…
Descriptors: College Students, Developmental Studies Programs, Remedial Mathematics, Misconceptions
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
Toluk-Ucar, Zulbiye; Bozkus, Figen – International Journal for Mathematics Teaching and Learning, 2018
The purpose of this study was to investigate how prospective elementary school mathematics teachers and elementary school students' ability to distinguish proportional situations from nonproportional situations differ or are alike. Participants of the study were 319 prospective primary and middle school teachers and 320 elementary school students…
Descriptors: Elementary School Students, Preservice Teachers, Mathematics Instruction, Elementary Education
Çelik, Derya – International Journal for Mathematics Teaching and Learning, 2015
Linear algebra is one of the most challenging topics to learn and teach in many countries. To facilitate the teaching and learning of linear algebra, priority should be given to epistemologically analyze the concepts that the undergraduate students have difficulty in conceptualizing and to define their ways of reasoning in linear algebra. After…
Descriptors: Algebra, Mathematics Instruction, Mathematical Concepts, Concept Formation
Kalder, Robin S. – International Journal for Mathematics Teaching and Learning, 2012
The National Council of Teachers of Mathematics and numerous mathematics educators promote the combination of conceptual understanding and procedural learning in the successful instruction of mathematics. Despite this, when geometric mean is taught in a typical American geometry class, it is taught as a process only despite the many connections…
Descriptors: Geometric Concepts, Mathematics Teachers, Mathematics Instruction, Secondary School Mathematics