Wheel-spinning is unproductive persistence without the mastery of skills. Understanding wheel-spinning during the use of intelligent tutoring systems (ITSs) is crucial to help improve productivity and learning. In this study, following Beck and Gong (2013), we defined wheel-spinning students (unsuccessful students in ITSs) as those who practiced…

We address a problem of promoting instructional transformation in early undergraduate mathematics courses, via an intervention incorporating novel digital resources ("techtivities"), in conjunction with a faculty learning community (FLC). The techtivities can serve as boundary objects, in order to bridge different communities to which…

The examples used in the teaching-learning process of mathematics have a crucial role in fostering conceptual understanding, and some variables can affect instructors' qualified example usage. This longterm study focused on mathematics teachers' exemplification process in face-to-face and online learning environments. In this regard, the change in…

In this article, I explore the impact of receiving mentorship into research and theory of the field that was guided by a social constructivist learning lens. I reflect on the ways that my conception of research and research agenda were framed subconsciously by early experiences investigating my secondary mathematics teaching practice under the…

This article builds on the work of social-emotional learning, culturally responsive teaching, and culturally responsive mathematics teaching to provide a framework that establishes learning spaces where equitable mathematics instruction can flourish.

Learn how to engage students in geometry concepts through a real-world task that leverages GeoGebra to provide students with generalization and authorship opportunities. This article shares the story of a geometry task that asked students to choose a city that would best work for their new trucking company. Throughout the task, students noticed…

As computer-science-for-all initiatives continue to grow, many schools are looking for ways to introduce computer science skills and thinking to elementary-age children. Some initiatives have focused on coding as its own endeavor, not integrated with other subjects like mathematics, science, or literacy. Increasingly, developers and researchers…

What tales would students tell about their mathematical experiences? Are they stories of triumph, boredom, despair, exhilaration, or, perhaps, all of these emotions? How do teachers access these stories to understand students' experiences and build from them? In this article, the authors describe a task, The Math Metaphor, and how it was used in a…

This study examined the creative teaching for high school mathematics teachers in Saudi Arabia. The original data set included 200 teachers in high public schools in the province of Dammam, Saudi Arabia. The researcher also prepared a creative teaching questionnaire for mathematics teachers in high schools and a qualitative analysis method was…

This article presents a mathematical modeling activity for students related to the process of memorization in which students collect their own data to drive their model development, parameterization, and validation. Engaging in the data collection gives them insight to critique and evaluate various models. This task is a low-floor high ceiling…

Children's multiplicative thinking as the recognition of equal group structures and the enumeration of the composite units was the subject of this research. In this paper, we provide an overview of the Multiplication and Division Investigations project. The results were obtained from a small sample of Australian children (n = 21) in their first…

The paper evaluates math performance at four high-need middle schools during a four-year intervention, which was designed to help math teachers diagnose students' areas of need and to design lesson plans responsive to those needs. Before the intervention began, the researchers pre-selected four comparison schools by matching based on achievement…

The purpose of this study was to explore secondary mathematics teachers' perceptions of detracking including benefits, challenges, and needed support as well as their individual and collective efficacy beliefs for teaching in a detracked class. Shifting to heterogeneous and inclusive secondary mathematics classes is a significant shift from past…

This book argues that mathematical challenge can be found at any level and at every age and constitutes an essential characteristic of any mathematics classroom aimed at developing the students' mathematical knowledge and skills. Since each mathematics classroom is heterogeneous with respect to students' mathematical potential, quality…

This study was undertaken to systematically analyze instructional interventions employed to enhance the mathematical performance of elementary school students with math learning difficulties (MLD). Over 20 years (2003-2023), 34 articles that met the inclusion criteria were included in the analysis. The articles in the study were analyzed in terms…