In this article we present a didactic proposal for teaching linear algebra based on two compatible theoretical models: emergent models and mathematical modelling. This proposal begins with a problematic situation related to the creation and use of secure passwords, which leads students toward the construction of the concepts of spanning set and…

Part of the research community that has followed the Early Algebra paradigm is currently delimiting the differences between arithmetic thinking and algebraic thinking. This trend could prevent new research approaches to the problem of learning algebra, hiding the importance of considering an arithmetico-algebraic thinking, a new approach which…

One of the primary expectations that the author has for her students is for them to develop greater independence when solving complex and unique mathematical problems. The story of how the author supports her students as they gain confidence and independence with complex and unique problem-solving tasks, while honoring their expectations with…

Teacher perceptions of student abilities can affect crucial placement decisions that, in turn, affect student opportunities to learn. The author's research shows that this is particularly the case with black students who have earned high scores on math assessments but who, on the basis of teacher judgment, have not been recommended for placement…

The purpose of this study was to examine the effect of the accelerated course learning format on student achievement in developmental English and math courses offered at a rural community college. Due to a rise in the number of underprepared students who enroll in community college, some college officials implemented the accelerated course…

When it comes to mathematics, standards aligned is achievement aligned… In the short time since "The Common Core Mathematics Companions" for grades K-2, 3-5 and 6-8 burst on the scene, they have been lauded as the best resources for making critical mathematics ideas easy to teach. With this brand-new volume, high school mathematics…

This article reports and analyzes different types of problems that nine students in a Master's Program in Mathematics Education posed during a course on problem solving. What opportunities (affordances) can a dynamic geometry system (GeoGebra) offer to allow in-service and in-training teachers to formulate and solve problems, and what type of…

"Connected Mathematics Project" (CMP) is a math curriculum for students in grades 6-8. It uses interactive problems and everyday situations to explore mathematical ideas, with a goal of fostering a problem-centered, inquiry-based learning environment. At each grade level, the curriculum covers numbers, algebra, geometry/measurement,…

Math achievement for U.S. high school students identified with math disabilities continues to fall below expected norms. Longitudinal national and state-level assessment data showed a flat or negative trend in math performance of students with disabilities, which may negatively affect their postsecondary outcomes. The purpose of this embedded…

Motivation and math anxiety are crucial in performance and satisfaction, and augmented reality (AR) may be a useful tool in enhancing these factors because it provides users with interesting visual experiences. Since related empirical research is limited in investigating the effects of using free mobile AR apps integrating Keller's ARCS…

The present study examined the effects of tootling, a peer-mediated positive behavior intervention, on students' classwide disruptive and academically engaged behavior in three general education high school classrooms. A withdrawal design was used to assess the effects of the intervention. Students wrote tootles anonymously on paper slips and…

An extensive body of research describes the stark social and academic disparities that characterize large, comprehensive public high schools. Advocates have argued that smaller high schools, with their necessarily more constrained curricula, have the potential to improve student academic outcomes and their equitable distribution. Using propensity…

In 2014, the U.S. Department of Labor (DOL) awarded $107 million in four-year grants to 24 applicants for the Youth CareerConnect (YCC) program, a high school-based program that blended academic and career-focused learning to better prepare students for both college and careers in high-growth industries that often rely on foreign workers. The…

These proceedings are a written record of the research presented at the 41st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in St. Louis, Missouri, November 14-17, 2019. This year's conference theme is "...against a new horizon." The papers comprise 67…

The aim of this research is to examine prospective mathematics teachers' quantitative reasoning, their support for students' quantitative reasoning and the relationship between them, if any. The teaching experiment was used as the research method in this qualitatively designed study. The data of the study were collected through a series of…