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'…

One of the aims of the present study was to reveal and compare the performance of ChatGPT versions (GPT-4o, GPT-4, and GPT-3.5), MathGPT, and Gemini in solving 390 mathematical problems in interactive mathematics e-textbooks across various dimensions. The other aim was to identify the affordances and constraints of ChatGPT through the instrumental…

This report focuses on the 2023-2024 implementation of "My Math Academy" at Epic Charter Schools in Oklahoma. "My Math Academy" was first used with a small pilot group of students and educators at the charter school network in school year 2022-2023, and based on the initial positive results, the implementation of the program…

This research, conducted between 2020 and 2024 in Romania, investigates the challenges and strategies related to teaching and solving mathematical word problems, based on insights from 163 teachers of grades 0 to 8. The study found that students often experience anxiety when solving word problems, especially during exams, due to difficulties with…

This study investigated the relationship between primary school students' mathematics motivation and problem-solving skills in mathematics. A total of 429 students were selected through convenience sampling, using a relational survey model. Data were collected using the Mathematics Problem-solving Achievement Test and the Mathematics Course…

This study investigated the extent to which domain-general and domain-specific antecedents contributed to pre-algebra's initial level and growth rate among students who experience word-problem difficulty (WPD). We examined if such a profile differs for English-language learners (ELLs; n = 75) and non-ELLs (n = 55) with WPD. We assessed 130 U.S.…

Equations are often used in mathematics and other subjects, which means that a media can teach students how to solve equations, particularly linear equations of two variables, or "Sistem Persamaan Linear Dua Variabel" (SPLDV) as it is called in Indonesian, is needed. However, most teachers are still focused on developing the learning…

This paper reports on research which explored the mathematics teaching efficacy beliefs of preservice primary teachers, where efficacy beliefs describe individuals' beliefs in their potential to enact teaching to promote learning. Efficacy was conceptualised as a bi-faceted construct consisting of personal efficacy and outcome expectancy. This…

Increasing the performance of secondary students with learning disabilities (LD) in mathematics on word problem-solving tasks involving ratios and proportions is challenging for secondary math teachers. Teachers must use evidence-based practices to enhance secondary students' problem-solving proficiency and math achievement. Schema-based…