Background: Evaluation methodologies often elevate and prioritize causal evidence especially in large scale studies (What Works Clearinghouse, 2022). Such approaches, including randomized controlled trials (RCTs), can induce rigid learning environments that may limit naturally occurring and dynamic educational activity in order to control for…

The dismal results from the fall 2024 release of "The Nation's Report Card" (the National Assessment of Educational Progress) confirmed what many who follow schooling outcomes for children already feared: post-pandemic academic recovery for students was middling at best, with reading and math scores still falling short of their…

Adaptive number knowledge represents the understanding and use of numerical characteristics and relations. However, there is a lack of knowledge about the role of adaptive number knowledge in solving problems that require the recognition of patterns. Therefore, we studied 61 sixth grade students' adaptive number knowledge and its connections to…

In this article we investigate the extent to which characteristics used to describe mathematical definitions in mathematics education research literature reflect what is important to research mathematicians and mathematics teacher educators. We report results from a comparative judgement survey of 57 research mathematicians and 62 mathematics…

This study used an instrumental approach (Drijvers et al., 2013) to investigate how artificial intelligence (AI) or large language models (LLMs), specifically ChatGPT 3.5, transitioned from an artifact into an instrument for four prospective secondary mathematics teachers through the development of schemes and techniques in using the AI to…

The multi-faceted nature of mathematics knowledge for teaching, including pedagogical content knowledge (PCK), has been studied widely in elementary classrooms, but little research has focused on senior secondary mathematics teaching. This study utilised the Knowledge Quartet (Rowland et al., "Research in Mathematics Education," 17(2),…

In this article, the authors (a mathematics educator and a literacy educator) offer a framework to engage students with mathematics and children's literature through a read-aloud experience in which teacher and students engage with the text while problem solving. The authors describe the narrative-first approach as a strategy during which the…

In the multivariable calculus course, a standard application of triple integration is to find volumes of bounded regions in R[superscript 3]. In this article, we consider the problem of computing volumes, by way of examples, of regions bounded by planes and quadric surfaces. For illustration, we present the solution to two basic but non-standard…

Mathematics is traditionally taught using direct instruction, which has been found to engender negative affective responses towards the subject, including anxiety and low self-efficacy (Borko et al., 1992; Mischo & Maas, 2013). Direct instruction places authority on the instructor and involves teaching students about mathematics instead of…

Close to a decade ago Hong Kong completed the implementation of a New three-year Senior Secondary (NSS) curriculum by introducing the Hong Kong Diploma of (HKDSE) examination. Because mathematics is one of the core subjects intricately involved in this education reform, it is necessary to evaluate the connection between the Hong Kong S1 - S6…

Achievement in mathematics, particularly in advanced mathematics courses (such as trigonometry, precalculus, calculus, or Advanced Placement courses), is important for long-term college and career success. However, many students--particularly students who are Black, Hispanic, or from low-income households--do not have access to advanced…

The purpose of this study was to examine the effects of an online multi-component intervention (video modeling, virtual manipulatives, digital games, self-monitoring and least to most prompting techniques) on the acquisition of several mathematical skills of two autistic elementary school students. We used a multiple probe design of a single-case…

In this portfolio, I reflect on my efforts to provide professional development targeted to support teachers during the launch phase of their mathematics teaching, to elicit and respond to student ideas and experiences. I grounded my study in research on ambitious teaching practices for launching complex mathematical tasks using problem-based…

Purpose: This study was done to compare the modes of teaching mathematics in higher education in the United Arab Emirates (UAE). The three teaching methods were used as follow: before, during and after the COVID-19 pandemic. The three teaching methods are: (1) Normal on-campus face-to-face teaching and learning activity before the COVID-19…

Fostering a culture of professionalism is the work of all stakeholders in a school and can be influenced by participating in self-selected professional development. Professionalism is a trait among teachers that has garnered significant attention within mathematics education. Central to the principle of professionalism is the recognition that…