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Salehi Kahrizsangi, Farzaneh; Barwell, Richard – Discourse Processes: A Multidisciplinary Journal, 2021
Metaphors are recognized as bridging scientists' challenges in communication with the public. In mathematics, however, which often involves abstract concepts and relations, less attention has been paid to the role of metaphors in public communication. In this article we examine the metaphors appearing in the discourse of 10 mathematicians in five…
Descriptors: Radio, Figurative Language, Mathematics, Mathematical Concepts
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Engelke Infante, N. – PRIMUS, 2021
In calculus, related rates problems are some of the most difficult for students to master. This is due, in part, to the nature of the problems, which require constructing a nuanced mental model and a solid understanding of the function. Many textbooks present a procedure for their solution that is unlike how experts approach the problem and elide…
Descriptors: Mathematics Instruction, College Mathematics, Calculus, Schemata (Cognition)
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Andrews-Larson, Christine; Johnson, Estrella; Peterson, Valerie; Keller, Rachel – Journal of Mathematics Teacher Education, 2021
Given the prevalence of research in undergraduate mathematics education focused on student reasoning and the development of instructional innovations that leverage student reasoning, it is important to understand the ways undergraduate mathematics instructors make sense of these innovations. We characterize pedagogical reasoning about…
Descriptors: College Mathematics, Mathematics Instruction, Mathematics Teachers, Mathematics Skills
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Hanna, Gila; Larvor, Brendan – ZDM: Mathematics Education, 2020
It is commonplace in the educational literature on mathematical practice to argue for a general conclusion from isolated quotations from famous mathematicians. In this paper, we supply a critique of this mode of inference. We review empirical results that show the diversity and instability of mathematicians' opinions on mathematical practice.…
Descriptors: Mathematics Education, Mathematics Instruction, Expertise, Mathematics
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Sánchez Aguilar, Mario; Castaneda, Apolo – International Journal of Science and Mathematics Education, 2020
We report on a study focused on identifying how the notion of "the mathematician" is constructed in lower secondary Mexican mathematics textbooks. To conduct the study, we adopted a Foucauldian approach that allows us to identify the way in which the notion of the mathematician is constructed but also to delineate the possible effects…
Descriptors: Foreign Countries, Mathematics Instruction, Textbooks, Textbook Content
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Weiss, Michael K.; Moore-Russo, Deborah – Mathematics Teacher, 2012
What does it mean to think like a mathematician? One of the great paradoxes of mathematics education is that, although mathematics teachers are immersed in mathematical work every day of their professional lives, most of them nevertheless have little experience with the kind of work that research mathematicians do. Their ideas of what doing…
Descriptors: Educational Opportunities, Mathematics Education, Mathematics Teachers, Cognitive Processes
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Misfeldt, Morten; Johansen, Mikkel Willum – Educational Studies in Mathematics, 2015
Developing abilities to create, inquire into, qualify, and choose among mathematical problems is an important educational goal. In this paper, we elucidate how mathematicians work with mathematical problems in order to understand this mathematical process. More specifically, we investigate how mathematicians select and pose problems and discuss to…
Descriptors: Mathematics Instruction, Problem Solving, Educational Practices, Mathematics Education
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Merrotsy, Peter – Australian Mathematics Education Journal, 2020
This is the second of two articles on the life and mathematical legacy of the Indian mathematician Ramanujan, who died one hundred years ago. The first article, "The Life and Times of the Indian Mathematician Ramanujan (1887-1920)" (EJ1269466), which appeared in the previous issue of "Australian Mathematics Education Journal,"…
Descriptors: Mathematics, Professional Personnel, Indians, Foreign Countries
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Hall, Jennifer; Suurtamm, Christine – International Electronic Journal of Mathematics Education, 2020
Media play an important role in young people's lives as an agent of socialization, both generally and with regard to mathematics. To understand the mathematics-related messages disseminated to young people via popular media, we analyzed portrayals of mathematics and mathematicians in over 40 media examples (television shows, movies, websites,…
Descriptors: Mass Media Role, Socialization, Mathematics, Personality Traits
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Hatisaru, Vesife; Murphy, Carol – International Journal of Education in Mathematics, Science and Technology, 2019
The present study aimed to examine lower secondary students? images of mathematics comprised of stated attitudes to and perceived needs for mathematics, and their views about mathematicians and their work. A group of 1284 lower secondary students drew a picture of mathematicians and described their drawings. The students? drawings fell into two…
Descriptors: Mathematics, Professional Personnel, Mathematics Instruction, Student Attitudes
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Lee, Shiree – Australasian Journal of Early Childhood, 2012
This article reports a recent case study providing evidence that toddlers explore mathematical concepts in their outdoor play. The play experiences the toddlers engaged in gave rise to seven mathematical categories. In each of these categories examples are given of some of the ways the toddlers displayed their mathematical knowledge and skill.
Descriptors: Play, Toddlers, Mathematical Concepts, Mathematics Skills
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Merrotsy, Peter – Australian Mathematics Education Journal, 2020
This is the first of two articles on the life and mathematical legacy of the Indian mathematician Ramanujan, who died one hundred years ago. Here, the story of Ramanujan's life is related. His cultural and social background are briefly described and his educational experiences are outlined. Attention is then drawn to the deep nature of his…
Descriptors: Mathematics, Professional Personnel, Biographies, Cultural Background
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Barlow, Elizabeth K.; Barlow, Angela T. – Middle School Journal, 2020
Often, when middle-school students make mistakes, they tend to erase their work and record the correct answer without trying to understand what led to the mistake. In response, this article describes three opportunities educators can leverage for engaging students in the processes of reasoning and sense making about mathematics.
Descriptors: Middle School Students, Middle School Mathematics, Thinking Skills, Failure
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Dawkins, Paul Christian; Weber, Keith – Educational Studies in Mathematics, 2017
In this theoretical paper, we present a framework for conceptualizing proof in terms of mathematical values, as well as the norms that uphold those values. In particular, proofs adhere to the values of establishing a priori truth, employing decontextualized reasoning, increasing mathematical understanding, and maintaining consistent standards for…
Descriptors: Values, Norms, Mathematical Logic, Validity
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Fitzherbert, John – Australian Senior Mathematics Journal, 2017
Jagadguru Shankaracharya Swami Bharati Krishna Tirtha (commonly abbreviated to Bharati Krishna) was a scholar who studied ancient Indian Veda texts and between 1911 and 1918 (vedicmaths.org, n.d.) and wrote a collection of 16 major rules and a number of minor rules which have collectively become known as the "sutras of Vedic…
Descriptors: Mathematics, Professional Personnel, Mathematics Instruction, Equations (Mathematics)
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