First-year engineering students show difficulties in connecting basic vector algebra with manipulations using the graphical representation. Experiencing vectors in real applications can improve the process of learning vectors. Thus, we introduce a unique approach for using digital technologies, namely augmented reality. We utilized a video…

This research examined the impact of the Cognitive-Communicative (C-C) model as a pedagogical strategy for teaching algebraic word problems (AWPs). The C-C model integrates structured dialogue, concept clarification, and systematic problem-solving steps to enhance students' comprehension and reasoning. Employing a mixed-methods framework, the…

This study contributes to the literature on linear algebra instruction by designing and researching a teaching sequence based on APOS Theory to introduce engineering students to vector spaces. The sequence offers students multiple opportunities to understand the concept. Another contribution is the evidence that introducing prerequisite…

The presented article is dedicated to a new way of teaching substitution in algebra. In order to effectively master the subject matter, it is necessary for students to perceive the equal sign equivalently, to learn to manipulate expressions as objects, and to perceive and use transformations based on defining their own equivalences. According to…

When analyzing instructional quality in mathematics, observational measures can consider domain-specific instructional approaches (e.g., effective teaching of mathematics) and content-focused practices (e.g., effective teaching of a specific mathematical topic). In this study, we analyze lesson videos from secondary algebra classrooms using two…

This paper provides information on datasets for the research project that examined the efficacy of three educational technologies including "From Here to There!", a research-based game for improving algebraic understanding. The dataset contains 4,092 7th-grade students' data collected through a randomized control trial conducted in…

South African learners' performance in mathematics, both locally and internationally, has raised significant concerns, particularly in the realm of algebra. To address this issue, a mixed-methods study was conducted to explore the effectiveness of using algebra tiles to teach algebraic expressions. The study aimed to investigate algebraic…

This study evaluates the effectiveness of inquiry-oriented instruction in introductory linear algebra classes by comparing the performance of students who learned introductory linear algebra concepts in inquiry-oriented settings (TIMES students) with the students who attended other linear algebra classes (Non-TIMES students). We used the…

This quasi-experimental design study aimed to examine how exposure to supporting productive struggle teaching practice impacts students' conceptual understanding, procedural fluency, and strategic competence when solving high-demanding quadratic functions problem solving tasks. Results suggested that students in the supporting productive struggle…

This convergent parallel mixed-methods study examines the relationship between high school mathematics teachers' research-based instructional practices and students' learning outcomes in Algebra 1 classrooms at a high school in a central region of a Southern U.S. State. The research addresses improving mathematics proficiency in the United States,…

Providing all students with equitable treatment and access has been a cornerstone of mathematics education reform (Association of Mathematics Teacher Educators, 2015; National Council of Teachers of Mathematics, 2014). Studies in mathematics classrooms show that using hands-on and interactive materials (i.e., "manipulatives") support…

Effective math instruction is crucial for developing students' problem-solving abilities. This Spotlight explores key strategies and approaches to enhance math teaching and learning. From laying the foundation for algebra in kindergarten to improving understanding of fractions, these articles offer valuable perspectives. Discover how to help…

Algebra I encompasses several topics that serve as a basis for students' subsequent mathematics courses as they progress in school. Some of the key topics that students struggle with is solving linear equations and algebraic word problems. There are several factors that may contribute to this ongoing struggle for students such as the structure of…

Productive learning of algebra is supported when students reflect on multiple strategies, compare them and discuss the rationale behind and relative merits of particular strategies. Comparison and Discussion of Multiple Strategies (CDMS) is an instructional approach designed to support these processes in math classrooms. In the current study, 16…

Generalizing is a critical aspect of mathematics learning, with researchers and policy documents highlighting generalizing as a core mathematical practice. It can also be challenging to foster in class settings, and teachers need access to better resources to teach generalizing, including an understanding of effective forms of instruction. This…