Productive struggle is crucial to students' mathematics learning. However, it has proven difficult for teachers to sustain struggle when it is productive or make it so when it is not. Studies show that teachers may offer students support when their struggles are productive or even refrain from offering support when students' struggles are…

In mathematics education, students are repeatedly confronted with the tasks of interpreting and relating different representations. In particular, switching between equations and diagrams plays a major role in learning mathematical procedures and solving mathematical problems. In this article, we investigate a rather unexplored topic with…

The aim of this study is to reveal the impact of Inquiry-Based Learning (IBL) on students' ability to come up with the rules of divisibility themselves and on their academic achievement in the 8th grade Mathematics course as well as to obtain students' views on the learning and teaching process, through the use of a mixed-methods sequential…

Math skills are critical for students' success in other subjects and later in life, yet far too many teacher prep programs fail to give aspiring teachers the essential knowledge they need to be effective math teachers--undermining student learning before the first lesson even begins. To develop great math teachers, teacher prep programs must…

The purpose of this study was to determine if the use of the i-Ready program with a group of eighth grade students, who most were behind on average four years in math, influenced their math achievement and their math attitudes. The i-Ready program is an online adaptive program which school districts are purchasing and are requiring teachers to…

Across the world, standards and practices for preparing teachers of mathematics emphasize the importance of math modeling (MM) in developing students' mathematical thinking. The aim of this research study was to develop the Mathematical Modeling Knowledge Scale (MAMKS), capable of determining preservice teachers' (PSTs') knowledge of MM. The study…

Self-efficacy, the beliefs learners hold about what they can do, develops largely from whether learners perceive and interpret their experiences as successful (i.e., perceived mastery). In mathematics, the relationship between perceived mastery and self-efficacy has been well established. Less is known about the factors that may influence…

This paper reports on our study of the effectiveness of the course instruction in the numeracy course 'Numbers for Life', offered at McMaster University, Canada, and taught by one of the co-authors. In this course students explore the ways to reason with numbers in a variety of contexts important not only for their individual lives and their…

Blended Learning has gained significant attention for its potential to enhance student achievement. However, its implementation in secondary education, especially in developing countries like Ethiopia, faces barriers such as infrastructure limitations, pedagogical challenges, and socio-economic factors. This study aimed to evaluate the effect of a…

This paper shares a flexible activity for engaging people in mathematical inquiry that does not depend on fixed prior knowledge built on a famous property of Möbius strips. The discussion includes the implementation of the activity and its extensions, facilitator moves and common participant thinking, suggestions for adaptation and integration…

Assessments play a pivotal role in Mathematics education, serving as vital gauges of students' mathematical proficiency and informing teaching strategies. Despite calls for contextualization, some educators still rely on abstract teaching methods and decontextualized tasks. This study aims to address these concerns by designing and implementing a…

The aim of this pilot study is to evaluate the relevance of the use of history in mathematics education. This paper presents an experiment carried out in France with sixth-grade students (n=108) in which an ancient number system is used, an approach that is commonly suggested in French sixth-grade textbooks but has previously been unassessed.…

This article describes an instructional sequence used with inservice secondary mathematics teachers as part of a graduate course. The instructional sequence focused on designing tasks using Interactive Geometry Software (IGS). This study answers a call for replication studies to investigate the use of an established instructional sequence. Results…

In this "Perspective on Practice," we describe an application of recommendations made in "Formative Assessment in Secondary ­Mathematics: Moving Theory to Recommendations for Evidence-Based Practice" (Kenney et al., 2022), which was recently published in this journal. The authors made recommendations for mathematics teacher…

Passing the introductory calculus sequence is critical to undergraduate students' retention in STEM programs. This study examines the relations between three interrelated processes found to influence mathematics learning and achievement: spatial skills, spatial anxiety, and math anxiety. Additionally, it examines the role of gender on these…