Operationalizing authentic mathematical proof activity using disciplinary tools

Melhuish, Kathleen; Vroom, Kristen; Lew, Kristen; Ellis, Brittney

doi:10.1016/j.jmathb.2022.101009

Cited by 3 publications

(2 citation statements)

References 62 publications

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“…It seems apparent that further strengthening of this themes' internal bonds may be achieved by developing respective frameworks that can be utilized in different abstract algebra contexts. One example of such a framework has recently been published by Melhuish et al (2022)-the Authentic Mathematical Proof Activity (AMPA) framework has been developed to help analyzing and documenting mathematical activity in proof-based settings and to expand "what competency can look like in the undergraduate mathematics classroom" (Melhuish et al, 2022, p. 28).…”

Section: Discussion Of Science Mapping Resultsmentioning

confidence: 99%

Mathematics education research on algebra over the last two decades: quo vadis?

Veith,

Beste,

Kindervater

et al. 2023

Front. Educ.

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Algebra is a crucial component of mathematics education as it introduces learners to the mathematical world of modeling relationships and handling abstract quantities. The increasing volume of scholarly work in the field has been analyzed qualitatively in numerous systematic reviews—a quantitative breakdown of the field, however, remains a desideratum to date. With this study we contribute to closing this gap by reporting on the results of a bibliometric analysis. We retrieved data from Scopus and Web of Science databases and analyzed 1,825 articles published between 2003 and 2022. On the one hand, we provide insight into the current state of algebra education from primary up to tertiary education by describing the scientific production and its bibliographic topography. On the other hand, we analyzed the data to identify trends and future directions. The results of our study indicate, among other aspects, that APOS Theory and Realistic Mathematics Education are emerging themes in the field that have great potential to shape future research.

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Section: Discussion Of Science Mapping Resultsmentioning

confidence: 99%

Mathematics education research on algebra over the last two decades: quo vadis?

Veith,

Beste,

Kindervater

et al. 2023

Front. Educ.

View full text Add to dashboard Cite

show abstract

“…According to Fisher (2018), mathematicians use different strategies when reading scholarly texts than do historians or chemists. Some other scientific studies have also revealed that the ways of reading scientific texts by disciplinary experts are specific to the given discipline (Burton, Morgan, 2000;Shanahan Shanahan, 2008;Johnson, Watson, 2011;Mejia-Ramos, Weber, 2014;Melhuish et al, 2022).…”

Section: Reading In Mathematicsmentioning

confidence: 99%

Interpretation of Mathematical Tasks Misunderstanding in the Context of Disciplinary Literacy of University Students

2023

European Journal of Contemporary Education

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In the article, we focus on the investigation of the disciplinary literacy of technical university students with an emphasis on understanding the mathematical language and symbolism in the tasks assignment. As part of the pedagogical research, we were looking for an answer to the research question "How do students interpret the misunderstanding of the assignment?". In the first phase of the research, the students solved a test that contained four pairs of mathematical tasks: a standard task and its equivalent, which required the mastery of mathematical symbolic language at a higher level. In the second phase of the research, students filled out a questionnaire that contained possible causes of failure in solving tasks in the test. Based on the research findings, we can state that the teachers and students agreed on only one item of the questionnaire, namely that the primary cause of the students' failure was a misunderstanding of the assignment. Teachers and students differed statistically significantly in their responses to the other items of the questionnaire. Based on the students' statements, we conclude that their understanding of the assignment of the task corresponds with the ability to assign the learned calculation procedure to the task, that is, with procedural knowledge. Teachers attributed the causes of student failure in the test to insufficient knowledge of the mathematical language.

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Sociomathematical scaffolding as students engage in revising draft definitions, conjectures, and proofs

Vroom,

Ellis

2024

Educ Stud Math

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Operationalizing authentic mathematical proof activity using disciplinary tools

Cited by 3 publications

References 62 publications

Mathematics education research on algebra over the last two decades: quo vadis?

Mathematics education research on algebra over the last two decades: quo vadis?

Interpretation of Mathematical Tasks Misunderstanding in the Context of Disciplinary Literacy of University Students

Sociomathematical scaffolding as students engage in revising draft definitions, conjectures, and proofs

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