This paper is a practical how-to guide to help you start using active learning or to have greater success and more fun with it. We categorize active learning techniques as Think, Pair, Share, Composite, Group, Move, or Lead and discuss how to implement activities in each category, along with advice on creating engaging, effective, and equitable…

Integrating Artificial Intelligence [AI] into mathematics education offers promising advancements and potential pitfalls. Striking a balance between AI-driven developments and preserving core pedagogical principles is critical in the teaching and learning environment. AI has emerged as a transformative force in various fields, including education.…

The area under the curve is a fundamental concept for students to build their understanding of the Definite Integral. This research reveals how students comprehend the area under the curve in given contextual problems and how the Hypothetical Learning Trajectory (HLT) can help students find the concept. This research follows the development…

Mathematics is a collection of cognitive products that have unique characteristics from other scientific disciplines. As cognitive products, mathematics, and thought processes are two things that cannot be separated. Although in the literature there have been many approaches proposed to support the analysis of students' thinking processes, not…

This paper applies the well-known cognitive bias of loss aversion from behavioural economics to student decisions over engagement with mathematically demanding coursework. This bias is shown to predict behaviour that is consistent with mathematics anxiety in a dynamic model of student engagement. It is shown that these forces can imply…

In this study, the effect of the Mathematics Bag Early Education Program (MAÇEP) on the mathematics skills (number/counting, geometry, measurement) of 57-69-month-old preschool children was investigated. A quasi-experimental design with a pretest, posttest, follow-up test, and control group were used in the study. The study group consisted of 22…

Using picture books in teaching is a popular trend in early childhood education. However, little attention has been paid to such pedagogy in mathematics learning. For this article, we reviewed 16 empirical studies from the past two decades (2000-2022) regarding the use of picture books in mathematics instruction, in order to investigate their…

The world is in a period of rapid change. Climate chaos is leading to floods, droughts and exacerbating inequality. In this article, we ask, in such a context, what is the role of mathematics education and, in particular, what can mathematics teacher educators (MTEs) do in supporting teachers to respond to global challenges, and the associated…

Although the secondary-tertiary transition has been investigated in mathematics education research with different focuses and theoretical approaches, it remains a major issue for students in the transition. With success in a science, technology, engineering, or mathematics (STEM) major at stake, we investigated a novel approach to support the…

Considerable research has been conducted on the critical role of gesture and action in children's mathematical thinking. However, teacher professional development (PD) has not tended to include specific supports for attending to nonverbal student thinking. In this Brief Report, we argue for including supports for multimodal teacher noticing in…

The focus of this study was to examine the effect of teaching based on inquiry-based learning versus traditional learning on mathematics achievement scores of undergraduate students enrolled in a college algebra class in a university classified as a Predominantly Black Institution. A college algebra course was chosen in this study due to the…

A primary goal of ethnomodeling is to value, sustain, and in some instances introduce cultural practices and traditions that have often been lost or overshadowed because of an emphasis on modern methods (Orey & Rosa, 2010). Through an ethnomodeling task focusing on geometric transformations, the authors share a Model It! activity to engage…

Adopting corequisite mathematics models to accelerate students' completion of their introductory college-level mathematics course in their first year of college is prevalent across higher education institutions. This systematic review demonstrates the known research, evidence, and diversity of implemented corequisite mathematics models for…

A lack of student motivation in a higher-level high school mathematics class prompted the question: how does a teacher's belief in their ability to effectively teach content positively or negatively impact student motivation? The purpose of this phenomenological research study is to understand how teachers evaluate their self-efficacy and how that…

Designing and implementing purposefully developed tasks have been linked to students' understanding of mathematical topics. We report on design principles and intentions that guided the development of "inquiry-oriented tasks." Through a qualitative analysis of the tasks, we identified seven themes that encapsulated these design…