This article aims to share five practical approaches for how teachers can identify, adapt, and create their own writing prompts they assign to students: (1) Promote Students' Solution Paths; (2) Go beyond Asking Students to Simply "Explain"; (3) Prompt Students to Share Their Reasoning; (4) Have Students Consider the Validity of a Given…

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…

Educational board games are a promising teaching method due to their low cost, playful, exploratory, and engaging nature. By drawing on analogical research, we created a game whose structure of spatial relationships mirrored the structure of rational numbers. We expected that children playing this game would improve their knowledge of fractions.…

While there has been much research focused on beginning teachers; and mathematical problem solving in the classroom, little is known about beginning primary teachers' learning to teach mathematics through problem solving. This longitudinal study examined what supported beginning teachers to start and sustain teaching mathematics through problem…

Little is known about the impact of testing modality on math performance, particularly for students with autism spectrum disorder (ASD). In the current study, a multielement, single-case design was used with three students with ASD across three math fluency assessment modalities: paper-pencil, iPad with a stylus, and iPad with a keyboard. Each…

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…

Research on intelligence and competence has developed widely independent of each other. The present paper aims at relating these traditions and at integrating the dominant models to fill gaps in the respective theories. We test the structural models derived from this integration in a series of confirmatory factor analyses and a latent moderated…

In this article, five authors, one each from Brazil, Indonesia, Turkey, Uganda and the UK, all experienced designers and users of educational resources, consider the challenge of decolonizing educational design within school mathematics. We outline what we term 'multicultural responses' to this challenge -- such as attention to equality of…

For a significant number of students, attitudes towards mathematics decrease notably during secondary education. Thus, there is an urgent need to improve students' mathematics attitudes because attitudes may negatively affect conceptual understanding of mathematics or mathematics performance. However, without a clear unified construct of…

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…

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…

This study aims to describe the cognitive process of autism spectrum disorder (ASD) students in solving mathematical problems in order to provide recommendations towards ensuring an appropriate learning process. It was conducted qualitatively using three ASD students in senior high school in Indonesia with high, moderate, and low intelligence. The…