Habermas' construct of rationality is a tool adapted from social sciences into mathematics education to identify the difficulties in the proving process and to plan the teaching of proof for reducing these difficulties. According to Habermas, people engaged in an activity/action are considered to "act rationally" if they choose and use…

Trigonometry is an area of mathematics that students believe to be particularly difficult and/or abstract compared to other areas of mathematics. It is introduced as the concept in the right-angled triangle from the basic level, but the curriculum of Nepal introduced it from grade nine onwards as a separate chapter. Its content area has a…

The results of this study revealed students' solution strategies progressed from inefficient strategies e.g., counting on fingers to more efficient strategies with mathematical connections. These findings should enable educators to gain more insight to use Number Talks to help student develop computational fluency with numbers.

Rehearsals have become an increasingly popular pedagogy to support preservice teachers in developing competency in enacting challenging instructional practices and communicating associated pedagogical commitments. To understand how best to support learners participating in rehearsals, researchers have begun to analyse the facilitation of teacher…

The aim of this research is to determine the mental processing strategies used by 3rd grade primary school students in addition and subtraction using the empty number lines. The model of the research is a case study, one of the qualitative research methods. The participants consist of 143 students; 75 girls and 68 boys, attending the third grade…

College algebra is regarded as a gatekeeper course for attaining degrees, higher paying jobs, and overall individual empowerment. Educational stakeholders have reconsidered alternative instructional approaches such as computer-assisted instruction (CAI) to curb high failure rates and increase retention rates among college algebra students. One…

Mathematics is one of the critical subjects studied worldwide and is a major for all science faculties and careers. However, it is 1 of the subjects in which performance is poor in all educational phases and bands. Therefore, with this research we aimed to consider the use of mother tongue in the learning and teaching of mathematics in schools.…

Even though it has been recognized that prospective teachers' conceptions of the nature of mathematics, and of mathematics learning and teaching shape their teaching decisions, and, thereby, students' engagement and achievement, to date no research has examined these conceptions from a person-centered perspective taking into account year of…

Australian primary school teachers have reported that they use games frequently in teaching mathematics. In this paper, the authors discuss the game mechanics of five types of whole-class games that can be particularly powerful for supporting mathematical thinking and student engagement in mathematics.

In response to decreasing motivation in high school math classrooms, teachers are transforming classrooms with various instructional techniques. Traditional math instruction relies on direct instruction and memorization of content, processes, and skills. Teachers are transitioning to more constructivist student-led approaches. Utilizing multiple…

Tracking is the practice of sorting students into courses based on their perceived ability. Middle school mathematics programs commonly track students into leveled courses with differential access to curriculum, instructional practices and future courses. With 40 years of research to draw on, every professional organization of mathematics…

This qualitative, multiple case study provided comprehensive descriptions of the conceptual difficulties and learning experiences of in-service teachers as they improved their ability to effectively model fraction division with pictorial diagrams. Video data were collected on eight teachers as they individually progressed through a professional…

In fall 2016, CAPR began a randomized controlled trial of multiple measures assessment (MMA) in community colleges in the State University of New York (SUNY) to learn whether MMA yields placement determinations that lead to better student outcomes than a system based on test scores alone. In 2020, a report was released on students' outcomes after…

Designing professional development (PD) that helps teachers enact more ambitious math instruction that is responsive to emergent student thinking is challenging work. Two approaches to this sort of PD, practice-based professional development and lesson study, have different mechanisms for fostering change and choose different focus points for…

This study applies Indigenous Oral Research Methods to amplify the voice and story of math educators working within Indigenous communities. Publicly posted podcast interviews with five participants of the Fire Circles Professional Development were used to disseminate their experiences and views of professional development programs that they had…