We present the result of an eight-year didactic experiment in two primary school classes involving comparative geometry activities: a comparison between Euclidean plane geometry and spherical geometry that took place over five years. Following the didactic experiment, three years on from the end of the experiment, final questionnaires were…

The main purpose of this paper was to explore mathematics educators' perception of the cultural relevance of basic level mathematics in Nepal. The design of this study involved an interpretive qualitative approach by administering in-depth interviews with five purposively selected mathematics educators teaching at five higher education…

In this article, the authors present a brief description of the different views of the "nature of mathematics" (NOM), share a five-point view of NOM that undergirds the teaching profession's guiding documents, and describe ways of providing opportunities for teachers and students to have conversations in the classroom that build…

The research presented in this article reports on the results of a case study examining the classroom practice of one early career Grade 4 teacher (Nox, pseudonym) as she teaches equivalent fractions. The goal was to explore the ways and extent to which her instruction reflected a dialogical teaching approach, defined as a pedagogical approach…

Research Findings: Two hundred and sixty-seven Chilean children from grades 1-3, their fathers and their mothers completed measures of implicit and explicit math-related beliefs (math-gender stereotypes, math self-concepts) and feelings (math anxiety), as well as tests of mathematical achievement. Children, fathers, and mothers exhibited…

This research focuses on the retention of students' algebraic understandings 1 year following a 3-year early algebra intervention. Participants included 1,455 Grade 6 students who had taken part in a cluster randomized trial in Grades 3-5. The results show that, as was the case at the end of Grades 3, 4, and 5, treatment students significantly…

A historical review of mathematics textbooks suggests a canonical method to solving equations that teachers often see as "the" way to solve equations. In this paper, we examine data from a nationally-distributed sample of 524 secondary mathematics teachers who responded to scenario-based survey items that represent the instructional…

This research focuses on the retention of students' algebraic understandings 1 year following a 3-year early algebra intervention. Participants included 1,455 Grade 6 students who had taken part in a cluster randomized trial in Grades 3-5. The results show that, as was the case at the end of Grades 3, 4, and 5, treatment students significantly…

This article explores a conceptual relationship between learner choice and mathematical sense-making. It argues that when learners can exercise choice in their mathematical activities, mathematical sense-making can be enhanced. The literature around mathematical modelling suggests a link between sense-making and learner choice. A three-tiered…

This article describes two heuristic strategies for problem solving: the "use of false assumption" strategy and the "use of double false assumption" strategy. Both of these strategies have their roots deep in history. In this article, we define these two strategies and illustrate their use in a problem developed by Frances…

There is an educational expectation that children's natural drawing will develop into proficient mathematical representations and formal diagrams, yet there is little research available to guide the assessment and development of children's mathematical drawing skills. The aim of this paper is to explore how Year 2 children (approx. 7 years) chose…

Mathematics-specific learning difficulties and disabilities (MLD) have received increasing attention in scholarly research. In this study, we place MLD research in its wider context of risk societies by discussing the manufacturing of MLD as "a risk." This framing of MLD builds on a certain idea of "hope" in how research could…

This inquiry examined the pedagogical practices in mathematics of elementary teachers (N = 27) who had been identified as experienced and successful and were working in an urban school district with underserved student populations. Also investigated were relationships between their instructional practices and other elements of proficient teaching…

Increasing numbers of students with disabilities (SWD) receive remote or online instruction in secondary mathematics. Unprecedented shifts in teaching modalities during the COVID-19 pandemic highlighted the need for effective remote instruction. The present study surveyed 31 general and special education teachers to identify features of remote…

This work studies mathematics word problems' use in a classroom of recent immigrants, or newcomers, to a United States public elementary school. I study how word problems foster the recontextualization of mathematical concepts in a lived reality experienced by newcomer students in their new cultural and educational setting. In this study's setting…