This quantitative study explored how well the "Big Ideas Math (BIM)" curriculum helped third-grade students in Title I schools within the Polston School District (pseudonym) improve their math skills and high-stakes testing scores. Thirteen elementary schools were selected based on factors such as diversity, poverty rates, and academic…

Spanish educational curriculum adopts a mathematical process-based approach, which encompasses problem solving, reasoning and proof, communication, connections and representation. A fundamental role in the integration of these processes in mathematics teaching is played by teachers' professional practice of designing tasks. According to this, our…

The aim of this study was to examine the effects of self-regulated Jigsaw IV on mathematics achievement, self-efficacy beliefs, and mathematics anxiety among 5th-grade students. The pretest and post-test non-equivalent control group design was utilized in the study. The participants consisted of 40 fifth graders, half of them were assigned to the…

Math achievement plays a pivotal role in students' success in school and beyond. Algebra, in particular, serves as a crucial gateway: it increases the chances a student takes advanced math in high school, which has implications for their college and career prospects. In 2023 and 2024, the American Mathematics Educator Study (AMES) surveyed…

In this study, the authors highlight the differences in classroom-, teacher-, and school-level factors in 8th and 9th grade algebra experiences along socioeconomic and racial/ethnic lines using nationally representative survey data from the American Mathematics Educator Study. Several takeaways emerge from this analysis. The analysis shows that…

We present an example of one of the modelling projects we assign to students in our differential equations classes. Students are asked to determine how to run a cost-efficient hot water heating system. We consider a cylindrical tank filled with water and heated by a heating element immersed in it. Together with students we discuss physical laws…

This study contributes to Action, Process, Object, Schema (APOS) theory research by showing two approaches used by advanced mathematics students to construct relations between higher-order derivatives to solve complex problems. We show evidence of students' ability to perform Actions on their graphing derivative Schema, that is, of its…

Terence Mills introduces us to Keynsian probability and discusses its implications for teaching probability. The author considers it unlikely that Keynes's theory would replace how we teach probability, but argues that it may make us think more deeply about the use of terms such as chance and probability when used in our lessons.

Student underachievement in math and social-emotional difficulties represent two urgent problems in our schools which have only been exacerbated since COVID-19. The reciprocal relationship between academic challenges and social-emotional problems, along with limited time and resources, suggest that a combined academic and growth mindset…

Through galleries of graphs and short filmstrips, this paper aims to sharpen students' eyes for visually recognizing continuous functions. It seeks to develop intuition for what visual features of a graph continuity does and does not allow for. We have found that even students who can work correctly with rigorous definitions may not be able to…

This study contributes to the growing body of research that highlights the usefulness of professional noticing of children's mathematical thinking for understanding the complexity and variability in teaching expertise. We explored the noticing expertise of 72 upper elementary school teachers engaged in multi-year professional development focused…

The multiplication principle (MP) is foundational for combinatorial problem-solving. From a units-coordination perspective, applying the MP with justification entails establishing unit relationships between the number of options at each independent stage of a counting process and the total number of combinatorial outcomes. Existing research…

As part of an effort to examine students' mathematical sensemaking (MSM) in a spins-first quantum mechanics course during the transition from discrete (spin) to continuous (position) systems, students were asked to construct an eigenvalue equation for a one-dimensional position operator. A subset of responses took the general form of an eigenvalue…

In tracing recent research trends and directions in mathematical problem-solving, it is argued that advances in mathematics practices occur and take place around two intertwined activities, mathematics problem formulation and ways to approach and solve those problems. In this context, a problematizing principle emerges as central activity to…

This report provides the perspectives of multiple respondent groups -- districts, principals, and math teachers -- on math-focused professional learning (PL) for teachers. The authors explore the factors that district and school leaders consider when selecting math-focused PL. These factors include principal autonomy to select PL; teachers'…