This dissertation explores the intricate dynamics between the self-perceptions of undergraduate mathematics (UM) educators and their conceptions of excellent teaching practices conducive to student learning. Employing a sequential mixed methods approach, the study addresses two primary research questions. First, it investigates educators'…

A Title I elementary school in New York City faced a challenge in supporting students in Grade 3 to Grade 5 who did not meet state proficiency standards in mathematics. The student body of approximately 300 was 80% Black and Brown students, with 40% of students identified as English language learners or students with disabilities. The assistant…

In this convergent mixed methods design study, single-subject and qualitative data were collected concurrently to provide an in-depth picture of the impact of a modified schema-based instructional intervention. The intervention was delivered using instructional trials embedded across general education math lessons and a modified…

This study aimed to examine the effect of cooperative problem-solving method on grade nine secondary school students' motivation towards learning algebra. In this study, pretest-posttest non-equivalent group quasi-experimental design was employed. The data were collected from 142 grade ninth students using mathematics motivation questionnaire and…

The mathematical reasoning ability is one of the essential hard skills of a student, especially in solving everyday problems. In supporting the achievement of this mathematical reasoning ability, meaningful teaching materials are an essential part of keeping exciting and not dull a learning process. This study aimed to design and develop an…

This study investigated the role of the bar model method, a significant aspect of the Singapore mathematics curriculum, in the remediation of seventh-grade students' errors on algebra word problems. To accomplish this purpose, we first assessed students' errors on a written test involving algebra problems and identified ten students based on the…

This study analysed the designs of algebraic problems in elementary mathematics textbooks used in Finland, Indonesia, Malaysia, Singapore, and Taiwan. This study employed a content-analysis method that focused on four dimensions: representational forms, cognitive demand levels (CDLs), contextual features, and types of responses. The result of the…

The purpose of the systematic review of mathematics intervention syntheses was to identify patterns and gaps in content areas, instructional strategies, effect sizes, and definitions of learning disabilities (LD), mathematics LD (MLD), and mathematics difficulty (MD). Using rigorous inclusion criteria, we evaluated 36 syntheses that included 836…

Quantitative reasoning is defined as reasoning about relationships between items, measurements of objects, and quantities rather than numbers. Both in the transition from arithmetic to algebra and in the problem-solving process, quantitative reasoning is seen as a critical instrument for the development of students' mathematical skills. In the…

Isomorphism and homomorphism appear throughout abstract algebra, yet how algebraists characterize these concepts, especially homomorphism, remains understudied. Based on interviews with nine research-active mathematicians, we highlight new sameness-based conceptual metaphors and three new clusters of metaphors: sameness/formal definition, changing…

This paper explores the correlation between mental calculation performance and the frequency of using written algorithms in mental calculation tasks. Mental calculation is a mathematical tool used in everyday life situations during and after our formal education. After presenting an overview of the professional literature on this topic, the paper…

In this Information Age, mathematics learning has shifted from independent to collaborative, and the ability to utilize both intrapersonal and interpersonal skills in learning has become essential. To cultivate multiple intelligences in mathematics classrooms, integrating project-based learning into mathematics instruction can be a promising…

Many primary school students have difficulties understanding mathematical equivalence with considerably poorer performance in some countries than in others. However, students' formal understanding of equivalence has significant and long-lasting effects, as it predicts arithmetic and algebra achievement throughout school years. Currently, little is…

This study examined post-test performance and retention performance of students in mathematics when learned and problem-solving ability through educational video games and traditional lecture method. The study adopted a quasi-experimental design. The sample was drawn from Alagappa Model Higher Secondary School in Karaikudi at Sivagangai district…

Improving the mathematical skills of undergraduate Engineering and Information Technology (EIT) students has been an enduring challenge for educators. Lecturers continually implement new strategies that try to overcome the challenges encountered in teaching university students with varying levels of success being encountered. This paper provides…