Key to developing equitable mathematics classrooms is educators making explicit connections to and building on the cultural, social, and linguistic contexts of diverse learners. The project "Weaving our knowledge together" focused on recognising and recording the mathematical funds of knowledge of young Pacific students, sharing this…

This study evaluates the mathematical autobiographies of college and university faculty in order to identity (1) barriers that hinder success in mathematics, especially among groups underrepresented in STEM, and (2) strategies to reduce existing inequalities and promote effective pedagogy in both mathematics and quantitative reasoning (QR)…

Adaptive tutoring systems often model student knowledge in ways that break away from a "one size fits all" approach to learning. Nonetheless, the strengths of these systems can often be limited, as knowledge representations are not easily interpreted by teachers, which make these systems difficult to integrate into pedagogical practices.…

Online learning became a necessity in many places during the COVID-19 pandemic. In the case of Hong Kong SAR, the pandemic provided a unique opportunity to establish blended learning as a norm. The authors discuss the insights and challenges related to delivering mathematics lessons online in a secondary school during and after the pandemic. A…

This paper demonstrated how to apply Machine Learning (ML) techniques to analyze student interaction data collected in an online mathematics game. Using a data-driven approach, we examined 1) how different ML algorithms influenced the precision of middle-school students' (N = 359) performance (i.e. posttest math knowledge scores) prediction and 2)…

Problem solving has long been a priority in mathematics education, and the first Common Core mathematical practice (SMP1) focuses on this priority through the language of "Make sense of problems and persevere in solving them." We present findings from a survey about how prospective elementary teachers' (PTs) make sense of potential…

Thinking development processes among high-school students is an important and significant issue that has been widely investigated (Leviathan, 2012; Ball, 1996; De Risi, 2015). A few studies discuss the development of mathematical thinking as this field contains additional difficulties to the traditional factors, teachers, students, and parents,…

Rational number and fractions concepts are inherently difficult; and lack of mastery often holds students back from success in subsequent mathematics courses. This paper describes design characteristics of a software based, adaptive, rational number tutor with virtual manipulatives, realistic contexts, and procedural feedback. Then, the paper…

This study presents three students who are bilingual with learning dis/abilities in small group mathematics discussions. The three students showcased their abilities as problem solvers, justifiers, and evaluators of basic operation and fractional understanding. This paper presents the teaching practices used to support the mathematical agency of…

Social-Emotional Learning (SEL) programs are school-based preventive interventions that aim to improve children's social-emotional skills and behaviors. Although meta-analytic research has shown that SEL programs implemented in early childhood can improve academic and behavioral outcomes in the short-term, there is limited work examining program…

There is a general consensus that both conceptual and procedural knowledge are essential for students' mathematical development. A common argument is that differences in mathematical performance are caused by differences in conceptual and procedural knowledge. Therefore, it is important to investigate to what extent such differences in conceptual…

This study explores how online mathematics games contribute to Grade 8 learners' understanding of basic principles and more sophisticated aspects of algebra. This project documents the trajectory of a purposive sample of 30 Grade 8 learners doing mathematics and one mathematics educator. The study is premised on the argument that learners with the…

In this paper I explore the question of what counts as successful implementation of a mathematics professional development (PD) project at scale. Two kinds of upscale are presented and differentiated from one another: upscale of settings and upscale of values, and the link between this differentiation and how success may be defined is discussed.…

Many states are redesigning their college remediation policies to increase postsecondary degree completion. In 2012, Tennessee began waiving college math remediation for high school students who completed a computer-based remedial math course (SAILS) during their senior year. Using a regression discontinuity design, we find that the high school…

Although trigonometry is an important section in secondary school mathematics curricula, many teachers find it challenging to teach as a result of insufficient pedagogical content knowledge (PCK). Therefore, the aim of this article was to report on how PCK on trigonometry manifests itself in teachers' practice. This exploratory case study was…