Background/purpose. Geometric reasoning is essential for students' cognitive development, yet middle school learners in Morocco face major difficulties in this area. This study investigates the challenges perceived by teachers and aims to identify effective pedagogical strategies to enhance students' geometric reasoning skills. Materials/methods.…

A student's experience of mathematics in their school years has a lasting impact on many students through to adulthood. How we can improve this experience is a question of significance, as it directly impacts practice and importantly the futures of our students. This paper reports on a study exploring pedagogical approaches to support an increase…

The active processing theory of self-questioning instruction suggests that comprehension occurs when students generate questions during reading because it allows students to engage in deeper processing of the text as their attention is drawn to the content. Four secondary students with reading fluency and comprehension deficit were taught to…

Mathematical ability is a crucial component of human cognitive function, which is defined as the ability to acquire, process, and store mathematical information. While many studies have documented a close relationship between elementary school children's inhibitory control and their mathematical ability, existing empirical evidence remains…

In this paper, we provide a conceptual framework of the central aspects of mathematical definitions discussed in the mathematics education literature. Based on a systematic literature review, we found that characterizations of definitions in the mathematics education literature can be classified into five main themes: requirements, preferred…

Background: While it's clear that autonomous motivation significantly boosts academic success, there are conflicting findings regarding the opposite relation. Besides, the reciprocal relations among controlled motivation and achievement present mixed results. Adequately distinguishing between variations among individuals and within individuals…

Simplifying equations via assumptions is integral to the "engineering method." Algebraic scaling helps in teaching the engineering skill of making good assumptions. Algebraic scaling is more than a pedagogical tool. It can create a solution where one was not possible before scaling. Scaling helps in engineering proper design…

Recent scholarship has explored mathematical demands faced by mathematics teacher educators and ways to support their development, but little attention has been given to the basic question of how mathematics teacher educators think about content knowledge for teaching. Knowing what they think could inform efforts to support them. Our analysis…

We offer ways that the inspection paradox can be usefully presented, even in the most elementary statistics courses, and provide guidance about how it can be revisited subsequently in the same course and in succeeding courses. Numerous situations in which the inspection paradox might occur are mentioned, and mathematically simple demonstrations…

Hands-on experiments with overturning some prisms (partially filled with water) lead students to a conjecture which can be confirmed by using a 3D geometry programme and reinterpreting the process of "overturning of a prism" in an appropriate way. But such confirmations are not a proof and particularly cannot answer the question…

Who doesn't love a good story? In this article, the authors share how teachers can utilize the idea of mathematical stories to significantly enhance existing lessons. They use a creative framework to reimagine lessons as mathematical stories and make lessons more engaging for students. The authors will first describe how to think about a lesson…

This study aims to investigate the influence of an undergraduate course on teaching statistics and probability on the statistical knowledge of preservice mathematics teachers. Statistics Concept Inventory (SCI) was used to measure the statistical understanding of the participants. It was implemented at both the beginning and the end of the course.…

Functional thinking has long been recognized as a crucial entry point into algebraic thinking in elementary school. This mixed-method study investigates the learning progression for elementary students' functional thinking within the context of routine classroom instruction. Drawing on the existing research, a theoretical framework was constructed…

We introduce a geometric-mechanical artefact designed for laboratory activities related to Calculus topics (3D models and construction instructions are freely available online). With new capabilities and a new design, this instrument adopts some mechanisms historically introduced to solve inverse tangent problems (that analytically correspond to…

The paper focuses exclusively on the famous geometry lesson given by Socrates to the slave-boy in Plato's Meno, providing an in-depth analysis that emphasizes the pedagogical aspects of the lesson. This approach allows for an examination of the lesson that teachers, educators and students alike--regardless of their interest in the philosophical…