Collaborative learning is a group learning paradigm in which individuals or students work together to solve problems or complete tasks, exemplifying the essence of collective educational efforts. There are a lot of collaborative learning methods available; however, finding one that is suitable for the complex nature of mathematical problem-solving…

This study compares the effects of student-centred teaching methods, teacher-centred methods, and teacher-student interactive methods on students' mathematics academic achievement. For this purpose, calculus, compound interest, annuities, and depreciation topics were taught to first-year college students in three different groups: traditional…

This study investigates the characteristics of Japanese primary school mathematics lessons that adopt a problem-solving approach. We argue that these characteristics are reflected in three key aspects: collective teaching and learning, the lesson as a "drama" (i.e., its structured flow), and the focus on mathematical knowledge. In this…

Calculus has long been known as a "gateway course" to STEM fields in postsecondary education. To moderate this gatekeeping effect, Montclair State University researchers developed a peer-led, inquiry-based instructional support (IBIS) to run parallel to Calculus classes. The design of the IBIS model was informed by an instructional…

This study investigated the effect of teaching rehearsals on 22 preservice secondary mathematics teachers (PSMTs) who were in their first mathematics pedagogy course. The objective of the teaching rehearsal was to introduce PSMTs to student-centered teaching. PSMTs worked in groups to complete a learning cycle consisting of analyzing a mathematics…

Mathematical modelling has great potential to motivate students towards studying mathematics. This article discusses several different approaches to integrating research work with a second-year undergraduate, mathematical modelling subject. I found sourcing papers from the areas of epidemiology and ecology to be a fruitful source area,…

In the spring of 2020, many colleges and universities had to move their classes online due to COVID-19. This move to the virtual environment highlighted a growing problem in higher education, being increase failure rates for online students. This study addressed two research questions: 1) To what extent does the use of short lectures and small…

The authors wondered if there was a way to support their reluctant Grades 4, 5, and 6 students in contributing their starting points and strategies and advancing their collective knowledge. They wanted to ensure that the students had the space to develop and take ownership of the strategies they produced through a visual representation of ideas…

The debate between cooperative group learning and individual instruction has long been a focal point in educational discourse. This research study explored these two instructional methodologies' comparative efficacy and benefits in fostering learning outcomes and skill development. This research study was conducted using fifth-grade classes from…

This dissertation examines the development of combinatorial reasoning in high school students through an in-depth analysis of a problem-solving session involving the Pizza Problem. The study, part of the long-term Rutgers-Kenilworth longitudinal research project, focuses on four 11th-grade students as they explore and connect concepts related to…

Teachers can make number talks more ambitious and increase learning opportunities for students by debugging errors, promoting multi-student thinking, and orienting to make connections. This article describes the basic number talks routine and examines some common tendencies, such as "Serial Sharing." It concludes with a vignette to…

Studies show that supporting argumentation in mathematics classrooms is challenging for teachers. This study reports on the experience of seven elementary and middle-school mathematics teachers in an afterschool classroom-based program where they had the opportunity to facilitate research sessions on students' development of mathematical ideas and…

Over the last three decades, educational researchers and policymakers have increasingly promoted instructional strategies that centralize group work in mathematics. One difficulty teachers face in implementing group-based instruction in mathematics involves facilitating meaningful group interaction amongst students. In this paper, we explore…

A growing consensus holds that preservice K-8 teachers (PSTs) need to experience the modeling process as learners to understand it and envision teaching modeling in their future classrooms. We examine this recommendation by exploring how PSTs construct models and how collaborative learning practices influence them in revising and refining their…

Math self-competence beliefs, namely, math self-efficacy and math self-concept, are crucial factors in sustaining math learning. Since there is a lack of literature on interventions targeting math self-competence beliefs in middle school students, the aim of this systematic review is to provide a narrative synthesis of the characteristics of…