Undergraduates’ Example Use in Proof Construction: Purposes and Effectiveness
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2010/09/01
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Indian UGC (journal)
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Refrences42
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Citations22
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Lara Alcock Loughborough University
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Keith Weber Rutgers University
Cite
Alcock, Lara, and Keith Weber. “Undergraduates’ Example Use in Proof Construction: Purposes and Effectiveness”. Investigations in Mathematics Learning, vol. 3, no. 1, 2010, pp. 1-22, https://doi.org/10.1080/24727466.2010.11790298.
Alcock, L., & Weber, K. (2010). Undergraduates’ Example Use in Proof Construction: Purposes and Effectiveness. Investigations in Mathematics Learning, 3(1), 1-22. https://doi.org/10.1080/24727466.2010.11790298
Alcock, Lara, and Keith Weber. “Undergraduates’ Example Use in Proof Construction: Purposes and Effectiveness”. Investigations in Mathematics Learning 3, no. 1 (2010): 1-22. https://doi.org/10.1080/24727466.2010.11790298.
Alcock L, Weber K. Undergraduates’ Example Use in Proof Construction: Purposes and Effectiveness. Investigations in Mathematics Learning. 2010;3(1):1-22.
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Exemplifying definitions: a case of a square | Educational Studies in Mathematics |
| 71 | 2008 |
| What makes a counterexample exemplary? | Educational Studies in Mathematics |
| 49 | 2008 |
| Doctoral students’ use of examples in evaluating and proving conjectures | Educational Studies in Mathematics |
| 44 | 2008 |
| Convergence of Sequences and Series 2: Interactions Between Nonvisual Reasoning and the Learner’s Beliefs about their own Role | Educational Studies in Mathematics |
| 24 | 2005 |
| 10.1023/B:EDUC.0000047051.07646.92 | 2004 |
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
How mathematicians characterize and attempt to develop understanding of concepts and definitions in proof-based courses | Frontiers in Education |
| 2024 | |
Undergraduate students’ attitudes towards mathematical proving in an introduction to proof course | Educational Studies in Mathematics |
| 2023 | |
| Generic examples in undergraduate topology: a case study | International Journal of Mathematical Education in Science and Technology |
| 2023 | |
Knowledge Organisers for learning: Examples, non-examples and concept maps in university mathematics | STEM Education | 2023 | ||
| Teaching practices promoting meta-level learning in work on exploration-requiring proving tasks | The Journal of Mathematical Behavior |
| 4 | 2022 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Education: Theory and practice of education | 17 |
| Education | 5 |
| Social Sciences | 4 |
| Science: Mathematics | 1 |
| Education: Education (General) | 1 |
The category
Education: Theory and practice of education 17
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled On the different ways that mathematicians use diagrams in proof construction and was published in 2012. The most recent citation comes from a 2024 study titled How mathematicians characterize and attempt to develop understanding of concepts and definitions in proof-based courses. This article reached its peak citation in 2016, with 4 citations. It has been cited in 13 different journals, 23% of which are open access. Among related journals, the The Journal of Mathematical Behavior cited this research the most, with 7 citations. The chart below illustrates the annual citation trends for this article.