This study investigated two undergraduate mathematics students' meanings for derivatives of univariable and multivariable functions when creating linear approximations. Both participants completed multivariable calculus at least two semesters prior to participating in a sequence of four to five exploratory teaching interviews. One purpose of the…

Providing students the autonomy and choice to learn when productive struggle becomes unproductive is a core teaching belief in the author's classroom. The author teaches in a multiage classroom where he has 16 first- and second-grade students, ages 6, 7, and 8. Like other educators, he believes in the importance of productive struggle. The author…

Many students enter higher education with poor preparation for college mathematics courses. These students are often placed through high-stakes placement testing into developmental coursework that bear no credit towards graduation, but many students who begin in developmental coursework never succeed in a college-level mathematics course. Recent…

In corequisite models of instruction, marginally prepared students are placed directly into college-level coursework, taught with a paired support course. Initial research suggests that such models yield significant improvements in the number of students passing credit-level mathematics when compared to previous models of prerequisite remediation.…

During the COVID-19 pandemic, schools in the United States and across the world were forced into rethinking their teaching approaches for the 2020-2021 school year. In the US, the hyflex model was adopted by many schools to serve the needs of both students in person and online simultaneously. Within this new challenge is the ongoing issue of lack…

Changes in U.S. textbooks indicate that U.S. first-grade students in the Common Core era were exposed to a wider variety of word problem types than students in previous generations were. We compared the performance of U.S. first graders in the Common Core era with that of previous generations in solving 11 types of additive word problems to…

This study explored how prospective elementary teachers developed mathematics teaching that used the cultural, linguistic, and cognitive resources from home and community settings to promote learning school mathematics with robotics. Drawing on lesson planning artifacts and written reflections following lesson enactments, the authors describe how…

Fractions remain a challenging area of school mathematics at every stage of education, with impacts that extend far beyond the school years. For this study, researchers engaged in classroom-based design research over a 6-year period to investigate effective strategies for teaching fractions with Canadian students. Participants included 86 teachers…

This study provides the first large-scale quantitative exploration of mathematical language use in U.S. classrooms. Our approach employs natural language processing techniques to describe variation in the use of mathematical language in 1,657 fourth and fifth grade lessons by teachers and students in 317 classrooms in four districts over three…

The author wants her students to see any new mathematics--fractions, negative numbers, algebra--as logical extensions of what they already know. This article describes two students' efforts to make sense of their conflicting interpretations of 1/2 × -6, both of which were compelling and logical to them. It describes how discussion, constructing…

Adoption of online resources to support instruction and student performance has amplified with technological advances and increased standards for mathematics education. Because teachers play a critical role in the adoption of technology, analysis of data pertaining to how and why teachers utilize online resources is needed to optimize the design…

Adoption of online resources to support instruction and student performance has amplified with technological advances and increased standards for mathematics education. Because teachers play a critical role in the adoption of technology, analysis of data pertaining to how and why teachers utilize online resources is needed to optimize the design…

Students with learning disabilities identify teachers' understanding of them as learners as crucial for their empowerment and success in school. This study provides insight into how the analysis of students' academic and social situational tendencies can provide teachers with better understanding of their students' educational experiences and lead…

The researchers conducted an exploratory, qualitative case study to describe a combination of mathematics teaching strategies for a sixth-grade student with high-functioning autism spectrum disorder as he engaged with sixth-grade level mathematics. The interventions utilised in this study combined the use of visual representations with a variation…

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…