In this report we show an investigation of how high-school students learn strategies to find intermediate numbers in an interval to understand the property of numerical density. Research has shown that some high-school students have difficulty in understanding this property. To mitigate this difficulty, we proposed a Hypothetical Learning…

In this study, I present how eight U.S. college calculus instructors with different patterns of inquiry practices used instructional situations to frame instructional tasks for introducing derivatives graphically to students. During four interviews, the instructors proposed up to eight tasks for introducing derivatives physically, graphically,…

The purpose of this action research study was to develop and implement common formative assessments for mathematics teachers to inform instructional practices. To address the purpose of this action research study, the following research questions guided this study: 1. How can the district instructional leadership team support professional learning…

The typical collegiate introductory statistics course poses significant challenges for students. Many do not fully comprehend key course skills, and it is common for students to exit the class with a neutral or negative attitude toward statistics. To measure the impact of using relevant contextual examples as an instructional strategy during a…

The typical collegiate introductory statistics course poses significant challenges for students. Many do not fully comprehend key course skills, and it is common for students to exit the class with a neutral or negative attitude toward statistics. To measure the impact of using relevant contextual examples as an instructional strategy during a…

Exploring non-Euclidean geometries is a common way for College Geometry instructors to highlight subtleties in Euclidean geometry. The concept of congruence, going undefined or informally defined in multiple axiomatic systems, is particularly susceptible to conflation with the idea of "same measure." Taxicab geometry provides a context…

When students are learning to use math in physics, one of the most important ideas they need to learn is that equations are not just calculational tools; they represent relationships between physical variables that change together (co-vary). How much a change in one variable or parameter is associated with a change in another depends on how they…

Even though students in the United States have varying access to an equitable education, education is commonly regarded as the greatest equalizer. The achievement gap impacts students such as African Americans, Hispanics, and other minorities. Addressing the achievement gap in mathematics and other content areas has grown more crucial as the…

To help alleviate the alarming performance of students in Mathematics, teachers are encouraged to devise different strategies to address the challenges of students in dealing with mathematics. This may include crafting learning materials such as Self-Directing Learning material. This kind of learning material is crucial in developing students'…

Artificial intelligence (AI) shows increasing potential to improve mathematics instruction, yet integrative quantitative evidence currently is lacking on its overall effectiveness and factors influencing success. This systematic review and meta-analysis investigate the effectiveness of AI on improving mathematics performance in K-12 classrooms…

Project-based learning (PBL) is increasingly recognised as a transformative alternative to traditional, instructor-centred education, fostering positive student attitudes towards learning. However, public schools in Pakistan largely adhere to conventional teaching methods, contributing to poor mathematics achievement and negative student…

This study provides a model of a school-based, parent intervention to support parents in building children's mathematics understanding at home. Participating parents received instruction on how to support elementary children's mathematical homework using literacy strategies. The researchers designed and implemented a five-week model with the goal…

This study explores the factors influencing mathematics performance, teacher satisfaction, and school environment across six economies using data from PISA 2022. Employing hierarchical linear modeling, the research examines individual and institutional variables at the student, teacher, and school levels. Key findings reveal significant…

Background/purpose: This study examines the effectiveness of Jordan's National Program for Remedial Interventions (NPRI) in mathematics, launched in response to the COVID-19 pandemic, by analyzing its implementation mechanisms, remedial content, and impact on student performance from the perspective of mathematics teachers. Materials/methods: The…

In Singapore, where primary and secondary students routinely top standardized worldwide mathematics examinations, a paradox emerges: when reaching university, many struggle to apply their skills critically in real-world contexts. This commentary examines the challenges and strategies involved in teaching quantitative reasoning (QR) to…