Teacher empathy has often been considered vital to successful and equitable teaching practices; however, empirical results have been inconsistent as to the effect of teacher empathy on educational outcomes. Further, researchers have questioned the effectiveness of both recent operationalization's of teacher empathy as well as its application in…

This mixed methods study explores high school seniors' math course-taking decisions and what changes school leaders can take to increase the percentages of students taking four years of math in high school. Through an analysis of district-level administrative data and a survey completed by seniors at a high performing, diverse high school in…

Literature suggests that "current characterizations of the terms procedural knowledge and conceptual knowledge are limiting and are, in fact, impediments to careful investigation of these constructs" (Star, 2005, p. 405). We examined secondary mathematics teachers' understanding of procedural and conceptual knowledge at superficial and…

While the importance of collaborative problem-solving has been highlighted as an important skill by the OECD (Organisation for Economic Co-operation and Development), no specific model exists for mathematics facilitators to implement when engaging their students in group problem-solving. In this paper, we introduce the CoPs model for Collaborative…

Student's attitude towards 21st-century mathematics teaching is affected by factors such as content knowledge, knowledge of teaching and learning activities, attitude towards mathematics and technology knowledge. The aim of this study was to construct structural equation models for investigating 21st-century mathematics teaching and learning among…

A three-phase "task-first" lesson structure is frequently suggested when teaching mathematics through inquiry. We investigate how secondary school teachers of mathematics structure their inquiry lessons and examine how and why they deviate from a "task-first" structure. We present detailed lesson observation data from three…

The present research investigates the effects of an active and experiential learning approach on eighth-grade students' mathematics achievement employing a quasi-experimental research design. A total of 231 students from four Slovenian primary schools participated in the study, with 101 students assigned to the experimental group (EG) and 130 to…

The study explores the integration of technology in teaching mathematics, providing current secondary mathematics teachers with effective practices and guiding future mathematics teachers toward a technology-pedagogical approach. In this study, I focused on effective teaching practices with technology in teaching mathematics to current secondary…

What is the connection between advanced mathematics and teaching secondary mathematics? I address this question, drawing on insights from the Special Issue on "Personal Mathematical Knowledge in the Work of Teaching" ("CJSMTE" 13(2), 2013) and reflecting on my personal teaching experience.

In this paper, we will examine the mathematical knowledge that prospective mathematics teachers draw upon when graphing function graphs and curves, with a special focus on the occurrence of asymptotes. Three tasks which involved a graph of a rational and exponential function and a hyperbola as a conic section were designed and administered to…

In the mathematical community, two notions of "function" are used: the set-theoretic definition as a univalent set of ordered pairs, and the Bourbaki triple. These definitions entail different interpretations and answers to mathematical questions that even a secondary student might be prompted to answer. However, mathematicians and…

Proofs are attempts to conclusively demonstrate the validity of the claim for all cases indicated within its domain, which implies that proving should involve thoughtful consideration of the domain. This study analyzed the enactment of three general claim tasks, or tasks where the domain of the claim referred to an infinite number of cases, that…

This article pushes back against the "evalu-centric view of improvement" (Hazi, 2018; 2020) in the supervision literature by advocating for a democratic pedagogy and supervision framework developed to support instructional supervision and evaluation dialogue between teachers and leaders. This democratized approach honors and centers the…

How would students feel when learning through the use of mathematical modeling? On investigation, this article reveals that students felt better prepared for assessments, learned valuable life skills, and saw the relevance of mathematics to their lives outside of the classroom.

The unsatisfactory academic performance of students in Nigerian secondary schools has been blamed on the quality of teachers, and professional development has been identified as a remedy. Hence, this study examined the effects of teacher collaboration as a form of professional development on students' academic achievement in mathematics. The…