In this paper, we share about specific tenets of joy in mathematics and conditions for supporting joy. A pair of students, Julia and Javier, young Latinx mathematicians in Grades 3 and 4 respectively, participated in a study that involved addition and subtraction with negative integers within game play. Drawing on descriptions of joy and…

Students who are not proficient in math are more likely to face negative long-term effects. In addition to adults with a lack of math skills facing a range of potential economic and mental health issues, the nation is also negatively impacted by a society of individuals who cannot contribute to the technological infrastructure. Project-based…

It is widely acknowledged that communicating mathematical thinking is complex, difficult, and often messy. In this article, the authors explore how mathematical thinking is communicated, providing examples of strategies for teachers and students to use in the mathematics classroom.

This study utilized a partially nested randomized control design to investigate the impact of Fusion, a first-grade math intervention. Blocking on classrooms, students were randomly assigned to one of the three conditions: a Fusion two-student group, a Fusion five student group, or a no-treatment control group. Two primary research questions were…

Schools are facing increasing demands to prepare students for rapid economic, environmental and social changes, for jobs that have not yet been created, for technologies that have not yet been invented, and to solve social problems that have not yet been anticipated. Underpinning the E2030 project is the premise that education needs to do more…

Informed by a cultural understanding of human sense-making, the mathematical identities of Grades 7-12 learners, teachers, and conventional curricula are explored. Due to a clash of values between mathematics and the humanities, a majority of learners do not achieve their mathematical potential. This frustrates both these learners and their…

The ability to distinguish between exact and inexact differentials is an important part of solving first-order differential equations of the form Adx + Bdy = 0, where A(x,y) [not equal to] 0 and B(x,y) [not equal to] 0 are functions of x and y However, although most undergraduate textbooks motivate the necessary condition for exactness, i.e. the…

The authors discuss the status of college algebra and related offerings and their relationship to introductory statistics education. They also describe an innovative approach to college algebra that integrates a significant amount of statistical reasoning and concepts and statistical methods as natural applications of basic ideas that are part of…

Recent research demonstrates that mathematics teachers rely on a variety of curriculum materials and must make meaning and synthesize these materials for use in a particular place with particular students. While there are multiple theories about the nature of this work and the factors which influence this work, the field continues to lack a…

This article describes the results of an investigation based on a Models and Modeling Perspective [MMP]. We present the evolution of the models built by university students when solving a model development sequence designed to promote their learning of the exponential function. As a result, we observed that students' thinking was modified,…

This article draws on the notion of epistemic agency to illustrate how the enactment of shared epistemic agency is enabled or hindered in a mathematics classroom for student teachers. I used data from an ethnographic study that was conducted in a third-year class of mathematics for educators. Data was drawn from verbal interactions that took place…

It is time to reimagine what is possible and celebrate the brilliance that multilingual learners bring to today's classrooms. Innovative teaching strategies can position these learners as leaders in mathematics. Yet, even as the number of multilingual learners in North American schools grows, many teachers have not had opportunities to gain the…

Proficiency in foundational math skills for all students is an educational goal. Students will build and rely on these foundational skills for the rest of their lives. A solid understanding of mathematics is needed every day, no matter the job or career. Some students are lacking these fundamental math skills needed for their future. This research…

Geometry education is an important aspect of STEM education and career development, but it is often overlooked in K-12 education in the United States. Although there is some research on teaching geometry to students with learning difficulties at the elementary level, there is a lack of research on teaching advanced geometry skills at high school…

Many students arrive at colleges and universities underprepared for college-level mathematics courses. In the United States, these students are required to complete developmental mathematics courses before completing the required mathematics courses for their degrees. Students who are required to take developmental mathematics courses frequently…