Algebra is a gatekeeper. For the 6% of students with dyscalculia (i.e., mathematical learning disabilities), an inability to pass algebra may significantly limit academic and career opportunities. Unfortunately, prior research on dyscalculia has focused almost exclusively on elementary-aged students' deficits in speed and accuracy in arithmetic…

In March 2020, COVID-19 restrictions required our university courses to be offered in online mode only. This quick transition meant that lecturers were suddenly tasked with adapting their classroom-based teaching approaches and materials to the online space. For mathematics teacher educators (MTEs), whose on-campus classes were characterized by…

Many mathematics students require support for learning challenges, such as those invoked by mathematics anxiety. Support for these learning challenges is imparted through personal interactions between the student and the instructor, support staff or their peers. The online delivery of mathematics classes and support meetings reduced the quality of…

Research has revealed the extent and mechanism of the relation between language (dominated by alphabetic systems) and students' mathematics learning, but when it comes to Chinese language (an orthographic system), nature remains elusive. In this meta-analysis we aim to quantify the size of the relation between Chinese language and mathematics and…

The purpose of this study was firstly to investigate the mathematical metacognitive characteristics of high-efficiency students by comparing high-efficiency and low-efficiency students. Secondly, the aim was to explore the pathways of mathematical metacognition of efficient mathematics learners in mathematics achievement. In this study,…

This study attempts to describe characteristics of graph thinking in solving a mathematical problem. Three students at the 10th grade of senior-high schools were involved as the subject. The data was collected from the result of an optimization problem task (OPT), video recording, interviews, and field notes. The results showed two major…

The overall purpose of this study was to investigate the role of personal relevance in conceptual change. First, we used an experimental design to investigate the role of augmented activation--which directly implicated teachers' personal prior beliefs about mathematics learning and instruction--and refutational text manipulations on short and…

This exploratory study reports on characteristics of proof production and proof writing observed in the work of first-year university students who took part in workshops on the theorem prover LEAN (https://leanprover.github.io). These workshops were voluntary and offered alongside a transition to proof module in a UK university. Through…

In this article, the authors share frameworks for problem types and students' reasoning about integers. The authors found that all ways of reasoning (WoRs) were used across grade levels and that specific problem types tended to evoke particular WoRs. Specifically, students were more likely to use analogy-based reasoning on all-negatives problems…

This study was conducted to examine whether newly enrolled 9th grade students were ready to directly engage in the theoretical discursive process from the perspective of Duval's Cognitive Model. The sample of the study was comprised of 51 newly enrolled 9th grade students between the ages of 14 and 15, who had not received any prior geometry…

This study explores Saudi students' perceptions of their motivation to learn Mathematics using metacognitive strategies. Data were collected using a qualitative case study design among 13 Saudi secondary school students. The findings from the data collected through semi-structured interviews show that several motives encourage the participants to…

This research focuses on ways in which balance scales mediate students' relational understandings of the equal sign. Participants included 21 Kindergarten-Grade 2 students who took part in an early algebra classroom intervention focused in part on developing a relational understanding of the equal sign through the use of balance scales. Students…

We introduce a ruler and compass activity designed around Islamic Geometry and provide a detailed description of the various components of the activity along with ideas for students exhibitions in both digital and print form. In our experience, this activity helps students to "buy into" actively doing mathematics, making it an ideal…

Objective: In numerous calls for reform to community college math instruction, contextualization has been identified as an effective approach to teaching and learning. Yet, little is known about how faculty contend with math contextualization and how they make decisions about its adoption. This study explored how community college faculty teaching…

This qualitative research study sought to help community colleges aid math faculty in making a transformation in their teaching practices. The research questions were: (a) What did it take for faculty to change their teaching style from traditional lecture-based instruction to one that incorporates low-stakes collaborative practice, just-in-time…