Gestures play a role in perception, production, and comprehension of language and have been shown to differ cross-linguistically and cross-culturally in aspects of performance and form-meaning relationships. Furthermore, gestures can serve as analytical tools to access tacit embodied-imagistic mathematical meanings that add to verbal-linguistic…

Many studies have investigated students' problem-posing activities. However, there has not been a strong focus on affective aspects in mathematical problem-posing. Also, students' understanding of the function concept whilst generating functions has not previously been investigated. This paper investigated students' misconceptions of the function…

The aim of this study reveal the effect of philosophy education on students' mathematics achievement. The research sample consists of a total of 38 students, 18 of whom are experimental and 20 of them are control groups, studying in the 7th grade in Sehit Koray Akoguz Secondary School in Ipekyolu, Van in the second semester of the academic year…

In this paper, we examine the national curricula for primary mathematics for each of the four constituent nations of the United Kingdom (England, Northern Ireland, Scotland and Wales) for the estimation-related opportunities they offer children. Framed against four conceptually and procedurally different forms of estimation (computational,…

This study reports on in-service mathematics teachers' views of geometry in the context of ethnomathematics. A convergent parallel mixed method design which includes both quantitative and qualitative methods was used to provide a deeper understanding of how the participants view geometry from an ethnomathematics perspective. Questionnaires and…

Designed for this study as a conceptual framework comprising particular educational approaches and techniques for mathematics teaching and learning, the Successful Mathematics Classroom (SMC) aimed to promote college students' mathematics self-efficacy, motivation, and achievement. Through using a case study methodology, a range of tests and…

In this article, the authors define numberless math stories and highlight three strategies for supporting equitable problem solving: (1) The Turn-and-Tell Strategy; (2) Storyboard and Story Mat; and (3) The Act-It-Out Strategy. These three strategies open up problem solving and give every student access to a challenging mathematics curriculum…

Being outdoors encourages content creativity, inclusion of new ideas and perspectives, student voice and agency, authentic contextualization, and connection to nature. In this article, the authors share why integrating mathematics and nature is beneficial for both students and teachers, provide an example of a middle-grades lesson taught outside,…

This article discusses a set of tasks that introduce dilations using nonstandard figures, incorporating snippets of classroom conversations as students try to make sense of the specified tasks, to show how they progress in their understanding. The authors provide a theoretical foundation for the tasks and discuss the pedagogical implications for…

South African teacher education policy expects initial teacher education programmes to introduce integrated and applied knowledge to underpin a teacher's practice in diverse classroom contexts. This paper explores how a one-year Postgraduate Certificate in Education responds to this expectation in terms of training prospective teachers to teach…

We examined how parent math attitudes and practices relate to emergent math skills in 72 preschoolers from low-income households. Specifically, we investigated parents' views about the importance of math learning, their confidence in teaching math, their perceptions of child interest in math, and their time spent engaging their child in math…

This article is a review of the literature on the use of history of mathematics in combination with use of digital technologies in the teaching and learning of mathematics. The review identifies 33 peer-reviewed publications (book chapters, journal articles, and papers in conference proceedings) that address an actual interplay between use of…

Although reformers have embraced learning trajectories (LT, also called learning progressions) as an important tool for improving mathematics education, the efficacy and assumptions of LT-based instruction are largely unproven. The aim of a recently completed research project was to fill this void. Fulfilling this aim was more challenging than…

The nature of the development of arithmetic performance has long been intensively studied, and available scientific evidence can be evaluated and synthesized in light of Nelson and Narens' model of metacognition. According to the Nelson-Narens model, human cognition can be split into two or more interrelated levels. Obviously, in the case of more…

This article addresses the nature of student-generated representations that support students' early algebraic reasoning in the realm of generalized arithmetic. We analyzed representations created by students for the following qualities: representations that distinguish the behavior of one operation from another, that support an explanation of a…