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…

There has been an increase in the need for online instructional tools especially during the current global health crisis (i.e., pandemic) that people across many nations are experiencing. The purpose of this study was to examine the effects of an electronic application, "Mathspace," on high school students' performance on solving algebra…

This paper reports on the design, implementation, and evaluation processes of an activity that focused on the comparison meaning of the subtraction of integers and included the number line model as the primary representation. Finding the answer and determining the sign of the answer in the subtraction questions were targeted as the learning…

This study investigates the proof skills of gifted 5th -grade students. The study was conducted using the document analysis method, a type of qualitative study. The study included 25 students, 11 females and 14 males, all diagnosed as gifted and attending fifth grade in the center of the city in southern Turkey. The sample of the group was…

This study explored the mediating role of mathematics anxiety in the relationship between TPACK competencies and mathematics teaching anxiety. This mediation role was tested through structural equation modeling using data from 426 pre-service mathematics teachers selected through criterion sampling. TPACK Competencies Scale, Mathematics Anxiety…

This study seeks to offer a comparative analysis of the History of Mathematics (HoM) elements identified in the secondary school mathematics textbooks of different countries. Drawing on document analysis method, this study analyzes the secondary school mathematics textbooks of Turkey, Singapore, Ireland and Canada. The HoM elements in the…

Early algebraic thinking is the reasoning engaged in by 5- to 12-year-olds as they build meaning for the objects and ways of thinking to be encountered within the later study of secondary school algebra. Ever since the 1990s when interest in developing algebraic thinking in the earlier grades began to emerge, there has been a steady growth in the…

Practice-based pedagogies, such as representations of practice and approximations of practice, are increasingly common in mathematics teacher education. More needs to be known about how teacher candidates' (TCs') productions through such activities make visible the resources they bring to the work of teaching. In this paper, we highlight our use…