This study accumulated empirical evidence pertaining to preservice teachers' (n = 62) reasoning processes while choreographing group formations with embedded algebra tasks. The activities were designed to facilitate examination of the potential pedagogical connections between choreographing formation and mathematics, with particular emphasis on…

This study aimed to investigate prospective middle school mathematics teachers' noticing of students' algebraic thinking based on students' correct and incorrect solutions within the context of pattern generalization. Designed as a qualitative case study, three noticing prompts were asked of thirty-two prospective middle school mathematics…

This research examines the integration of computational thinking in mathematics education, specifically examining its impact on students' algebraic reasoning. By teaching core computational concepts such as pattern recognition, decomposition, and algorithmic thinking, students develop a deeper understanding of algebraic structures and processes.…

Interest in using mathematics and science videos in educational settings has surged in recent years. Yet there remains a gap in researchers' understanding of the ways in which students make sense of the ideas expressed in the videos. In this study, thematic analysis was used to identify how eight high school students made sense of and engaged with…

Isomorphism and homomorphism are topics central to abstract algebra, but research on mathematicians' views of these topics, especially with respect to sameness, remains limited. This study examines 197 mathematicians' views of how sameness could be helpful or harmful when studying isomorphism and homomorphism. Instructors saw benefits to…

Mathematical creative thinking skill often becomes the orientation of mathematics learning, aiming to enhance students' creativity in mathematics. Recognizing that creativity encompasses the capacity for thinking creatively and creativity disposition is essential. Building on this conceptual foundation, the primary objective of this study is to…

In this paper, we examine the relationships between teachers' subject matter preparation and experience in teaching and their performance on an instrument measuring mathematical knowledge for teaching Algebra 1. We administered the same instrument to two different samples of teachers-high school practicing teachers and community college…

Understanding how young learners come to construct viable mathematical arguments about general claims is a critical objective in early algebra research. The qualitative study reported here characterizes empirically developed progressions in Grades K-1 students' thinking about parity arguments for sums of evens and odds, as well as underlying…

This qualitative research study explores how students negotiate their identities as mathematics learners in a college algebra quadratics unit that implements asset-based frameworks that reframe mathematics curriculum to support student awareness of their capacities. This study adds to existing research discourse on teaching and learning…

This large-scale study characterizes the algebraic learning of a cohort of nearly 800 French students during the last year of middle school (9th grade, 14-15 years old) and examines their evolution in relation to the composition of the classes to which the students belong. Based on the Anthropological Theory of the Didactic (ATD), the study is…

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…

This quantitative study examines how support facilitation instruction affects high school students without disabilities end-of-course assessment scores and Algebra l-B grades using descriptive statistics, t-test two-sample assuming equal variances, F-test two-sample for variances, and Pearson correlation coefficient (r) analysis. The two-sample…

This paper is part of broader research being conducted in the area of algebraic thinking in primary education. Our general research objective was to identify and describe generalization of a 2nd grade student (aged 7-8). Specifically, we focused on the transition from arithmetic to algebraic generalization. The notion of structure and its…

To be successful in algebra, students need access to high-quality instruction that includes opportunities to develop their algebraic understanding. Yet research on algebra teaching suggests that instruction remains procedurally focused, indicating that teachers may need additional support to provide students such opportunities. One possible lever…

Despite the growing popularity of both flipped classrooms and digital manipulatives, there is a need for empirical research to examine the impact of combining these instructional strategies in the context of an Algebra 1 course (Alsaeed, 2017; Brown et al., 2001). This study is grounded in Kolb's learning cycle, the Technological Pedagogical…