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Mathematical Generality, Letter-Labels, and All That

Phronesis, 2020
Abstract This article focusses on the generality of the entities involved in a geometric proof of the kind found in ancient Greek treatises: it shows that the standard modern translation of Greek mathematical propositions falsifies crucial syntactical elements, and employs an incorrect conception of the denotative letters in a Greek geometric proof ...
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A mathematical physics for all students

The Physics Teacher, 1999
For 23 years I have been teaching physics and other subjects in science and math in Chicago public high schools. In the 1970s, an integration consent decree issued in federal court mandated that, except for impaired learners, all students in the high school where I was teaching must take four years of science and mathematics.
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Gender differences in mathematics performance: a meta-analysis.

Psychological bulletin, 1990
Reviewers have consistently concluded that males perform better on mathematics tests than females do. To make a refined assessment of the magnitude of gender differences in mathematics performance, we performed a meta-analysis of 100 studies.
J. Hyde, E. Fennema, S. Lamon
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Mathematical Quotations for all Occasions

The Mathematics Teacher, 1976
Quotations can inspire, delight, and provoke much thought about the many roles and aspects of mathematics. Quotations have a wide range of uses in the mathematics classroom. For example, these “stimulators” can be placed on assignment sheets, tests, duplicated exercises, or even in a special corner of a chalkboard or bulletin board—daily, weekly, or as
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Mathematics by All

1994
The argument in this chapter is that mathematics, even before its professionalisation, has always been the domain of the select few. Attempts have been made, in recent times, to challenge the Eurocentric bias in mathematics and this has led to a greater appreciation of the mathematical contributions of different cultures.
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We all teach mathematics

The Arithmetic Teacher, 1969
Many people think of a subject in the school curriculum as one to be taught by the person employed by the school board for that purpose. Although they do not consider themselves teachers, most people teach at one time or another.
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Five Decades of Mathematics Education Research

Journal for Research in Mathematics Education, 2018
Mathematics educators have been publishing their work in international research journals for nearly 5 decades. How has the field developed over this period? We analyzed the full text of all articles published in Educational Studies in Mathematics and the
M. Inglis, Colin Foster
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One Mathematics for All?

2002
Further subdivisions, and in particular decisions as to differential weighting, are likely to introduce ideological biases (discussed fully, for instance, by Ernest, 1991). Nevertheless most countries find it useful to attempt some more detailed statement in order to provide a basis for discussion of the curriculum.
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The Mathematics of Text Structure

Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics, 2019
In previous work we gave a mathematical foundation, referred to as DisCoCat, for how words interact in a sentence in order to produce the meaning of that sentence.
B. Coecke
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Celebrating the mathematical brilliance of all children

Teaching Children Mathematics, 2019
Students come to school with varying degrees of prior mathematics experiences, understandings, and levels of confidence—all of which can be challenging for teachers. Below are three strategies based on Universal Design for Learning (cast.org) to highlight and leverage the mathematical brilliance of all children, including children with dis/abilities.
Cathery Yeh, Theodore Chao
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