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International Journal of Mathematical Education in Science and Technology Volume 45, 2014 - Issue 3
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Original Articles

The emergence of algebraic structure: students come to understand units and zero-divisors

John Paul CookDepartment of Mathematics, University of Science and Arts of Oklahoma, Chickasha, Oklahoma, USACorrespondence[email protected]
Pages 349-359 | Received 23 Jan 2013, Published online: 07 Oct 2013

Citations (17)

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Read on this site (6)

Paul Christian Dawkins. (2018) Student interpretations of axioms in planar geometry. Investigations in Mathematics Learning 10:4, pages 227-239.
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Elise Lockwood & Craig A. Swinyard. (2016) An Introductory Set of Activities Designed to Facilitate Successful Combinatorial Enumeration for Undergraduate Students. PRIMUS 26:10, pages 889-904.
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Timothy Fukawa-Connelly. (2016) Responsibility for proving and defining in abstract algebra class. International Journal of Mathematical Education in Science and Technology 47:5, pages 733-749.
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John Paul Cook & Tim Fukawa-Connelly. (2015) The Pedagogical Examples of Groups and Rings That Algebraists Think Are Most Important in an Introductory Course. Canadian Journal of Science, Mathematics and Technology Education 15:2, pages 171-185.
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John Paul Cook. (2015) Moving Beyond Solving for “x”: Teaching Abstract Algebra in a Liberal Arts Mathematics Course. PRIMUS 25:3, pages 248-264.
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Frank Feudel & Alexander Unger. Development and implementation of Concept-Test questions in abstract algebra. International Journal of Mathematical Education in Science and Technology 0:0, pages 1-30.
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Articles from other publishers (11)

Michael D. Hicks & Kyle Flanagan. (2024) Analogical structure sense: A case study of students’ analogical reasoning between groups and rings. The Journal of Mathematical Behavior 73, pages 101136.
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Megan Wawro, Christine Andrews-Larson, Michelle Zandieh & David Plaxco. 2022. Practice-Oriented Research in Tertiary Mathematics Education. Practice-Oriented Research in Tertiary Mathematics Education 329 348 .
Rachel Rupnow, Meredith Hegg, Tim Fukawa-Connelly, Estrella Johnson & Keith Weber. (2021) How mathematicians assign homework problems in abstract algebra courses. The Journal of Mathematical Behavior 64, pages 100914.
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Elise Lockwood & Knut Mørken. (2021) A Call for Research that Explores Relationships between Computing and Mathematical Thinking and Activity in RUME. International Journal of Research in Undergraduate Mathematics Education 7:3, pages 404-416.
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Estrella Johnson, Rachel Keller, Valerie Peterson & Timothy Fukawa-Connelly. (2019) Individual and situational factors related to undergraduate mathematics instruction. International Journal of STEM Education 6:1.
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Estrella Johnson, Rachel Keller & Timothy Fukawa-Connelly. (2017) Results from a Survey of Abstract Algebra Instructors across the United States: Understanding the Choice to (Not) Lecture. International Journal of Research in Undergraduate Mathematics Education 4:2, pages 254-285.
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John Paul Cook. (2018) An investigation of an undergraduate student’s reasoning with zero-divisors and the zero-product property. The Journal of Mathematical Behavior 49, pages 95-115.
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Sean Larsen, Erin Glover, Anna Marie Bergman & John Caughman. 2018. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers 71 84 .
John Paul Cook. 2018. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers 47 70 .
Rose Mary Zbiek & M. Kathleen Heid. 2018. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers. Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers 189 209 .
Dov Zazkis & John Paul Cook. 2018. Scripting Approaches in Mathematics Education. Scripting Approaches in Mathematics Education 205 228 .

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