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Book Review: What Is A Mathematical Concept? Edited By Elizabeth De Freitas, Nathalie Sinclair, And Alf Coles, Brendan P. Larvor
Book Review: What Is A Mathematical Concept? Edited By Elizabeth De Freitas, Nathalie Sinclair, And Alf Coles, Brendan P. Larvor
Journal of Humanistic Mathematics
This is a review of What is a Mathematical Concept? edited by Elizabeth de Freitas, Nathalie Sinclair, and Alf Coles (Cambridge University Press, 2017). In this collection of sixteen chapters, philosophers, educationalists, historians of mathematics, a cognitive scientist, and a mathematician consider, problematise, historicise, contextualise, and destabilise the terms ‘mathematical’ and ‘concept’. The contributors come from many disciplines, but the editors are all in mathematics education, which gives the whole volume a disciplinary centre of gravity. The editors set out to explore and reclaim the canonical question ‘what is a mathematical concept?’ from the philosophy of mathematics. This review comments …
Creating Steam With Design Thinking: Beyond Stem And Arts Integration, Danah Henriksen
Creating Steam With Design Thinking: Beyond Stem And Arts Integration, Danah Henriksen
The STEAM Journal
This article suggests the value in a broad view of STEAM beyond arts-integration, as well as the potential of design thinking for STEAM. Despite much interest in STEAM it is often challenging for many teachers to integrate into their teaching of school subject matter. I suggest that as an interdisciplinary crossroads, design thinking provides a natural bridge between the arts, sciences, and other subjects. In this it can offer guiding flexible structure and in-road for teachers to design STEAM-based lessons, and to incorporate as an integrated aspect of students’ STEAM learning. I discuss an example of an elementary Spanish teacher, …
Changing The Order Of Mathematics Test Items: Helping Or Hindering Student Performance?, Kristin T. Kennedy, Allison G. Butler
Changing The Order Of Mathematics Test Items: Helping Or Hindering Student Performance?, Kristin T. Kennedy, Allison G. Butler
Journal of Humanistic Mathematics
This paper recounts an experiment by a mathematics professor who primarily teaches mathematics majors. The main question explored is whether the ordering of the questions makes a difference as to how students perform in a test. More specifically we focus here on the following research questions:\ (1) Does arranging a math test with easy-to-hard items versus hard-to-easy items impact student performance? and (2) If so, does item order impact male and female mathematics majors and non-majors in unique ways? We examine data collected over multiple semesters with several different classes. We find that for most of the mathematics students who …
The Reform Calculus Debate And The Psychology Of Learning Mathematics, James M. Cargal
The Reform Calculus Debate And The Psychology Of Learning Mathematics, James M. Cargal
Humanistic Mathematics Network Journal
No abstract provided.
Patterns Of Emotion Within Mathematics Problem-Solving, Frances A. Rosamond
Patterns Of Emotion Within Mathematics Problem-Solving, Frances A. Rosamond
Humanistic Mathematics Network Journal
There is often a divide between the experience of positive emotions toward math on the part of mathematical educators and negative emotions toward math on the part of students. This paper utilizes psychologist Richard Lazarus's work on the effects of positive emotions in order to highlight their benefits for mathematical pedagogy, to explain the author's experiment applying Lazarus's theory, and to suggest ways this application might support and foster positive emotions in students.