Student Attitudes Toward Abstract Algebra

Clark, Julie Margaret; Hemenway, Clare; John, Dennis St; Tolias, Georgia; Vakil, Roozbeh

doi:10.1080/10511979908965918

Cited by 9 publications

(3 citation statements)

References 4 publications

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“…In addition to a lack of information about teaching practices in abstract algebra, there is considerable evidence documenting student difficulty with the subject's most basic concepts (e.g. [12,13]). For the purpose of this paper, we focus on both the mathematician and the student's journals on four lectures leading up to the proof of an elegant theory.…”

Section: Introductionmentioning

confidence: 99%

Accommodation in the formal world of mathematical thinking

Stewart

Schmidt

2017

International Journal of Mathematical Education in Science and

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In this study, we examined a mathematician and one of his students' teaching journals and thought processes concurrently as the class was moving towards the proof of the Fundamental Theorem of Galois Theory. We employed Tall's framework of three worlds of mathematical thinking as well as Piaget's notion of accommodation to theoretically study the narratives. This paper reveals the pedagogical challenges of proving an elegant theory as the events unfolded. Although the mathematician was conscious of the students'abilities as he carefully made the path accessible, the disparity between the mind of the mathematician and the student became apparent.

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Section: Introductionmentioning

confidence: 99%

Accommodation in the formal world of mathematical thinking

Stewart

Schmidt

2017

International Journal of Mathematical Education in Science and

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“…Mathematical concepts in abstract algebra are related to topological concepts and various studies have been carried about abstract algebra (e.g., Clark et al, 1999;Hazzan, 1999). Clark et al (1999) examined students' attitudes toward abstract algebra course.…”

Section: Introductionmentioning

confidence: 99%

“…Clark et al (1999) examined students' attitudes toward abstract algebra course. Curriculum development program named "An Abstract Algebra Story" was evaluated.…”

Section: Introductionmentioning

confidence: 99%