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…

We present the results of a study involving 175 Italian prospective secondary school special education teachers. Participants were engaged in a Workshop and were asked to design inclusive striped problems, that is, mathematical story-problems obtained by combining Zan's Context and Question (C&Q) model with the principles of Universal Design…

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.…

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…

Building on research on teacher noticing, the goal of this study was to understand what and how mathematics teacher educators notice critical events and how they make connections to consider the characteristics of distinguished coach noticing, meaning the noticing we would hope those coaching would attain to support teachers. We interviewed 29…

To support children's transition to school mathematics, it is important to maintain sensitivity to notations that children produce in the domain of number and support connections between their informal number knowledge and written symbols. This paper presents an exploratory longitudinal study of the notations that 3-5-year-old children produced…

Principals who serve as strong instructional leaders directly impact student learning. In this article, principals from Tustin, California, come together to help each other learn how to support teachers implementing a new problem-based mathematics curriculum.