This study explored the influence of proof understanding strategies and negative self-concept on undergraduate Afghan students' achievement in modern algebra 1. To examine the relationships among proof understanding strategies, negative self-concept and achievement in modern algebra 1, we used structural equation modeling on data collected from…

Numerical magnitude knowledge is related to current math abilities and predictive of future math learning. However, this relationship has previously been shown only for knowledge of positive magnitudes; the present study is the first, to our knowledge, to examine the connection between magnitude knowledge and math ability with negative integers.…

This study explores the impact of Peer-Assisted Reflection (PAR), a structured active learning strategy that emphasizes peer feedback and reflection, on students' perceptions of mathematical thinking, and of the roles their peers and their instructors play in their learning process. This study also examines the impact of PAR on the students'…

We describe the process of adjusting the balance between computer-based learning and peer interaction in a college algebra course. In our first experimental class, students used the adaptive-learning program ALEKS within an emporium-style format. Comparing student performance in the emporium format class with that in a traditional lecture format…

Purpose: The main purpose of this study was to examine mathematics teachers' abilities in developing formative assessments when teaching algebraic reasoning after utilizing two innovations: lesson study and open approach. Methodology: A single group quasi-experimental research design was employed in two mathematics classes in a school in…

This study aims to compare mathematical modelling abilities of prospective mathematics teachers. 38 Turkish prospective mathematics teachers studying at the Department of Primary Mathematics Education and 26 English prospective mathematics teachers studying at Initial Mathematics Teacher Education Program of the Graduate School of Education…

Building off of other studies that examined the effectiveness of double-dose algebra programs such as Nomi and Allensworth (2009), this dissertation compared the performance outcomes of students enrolled in one of two alternatives to traditional high school algebra, a double-dose and a single-dose algebra program. This work utilized multiple…

Although algebra often functions as a gatekeeper to higher-level mathematics courses and higher education admissions, few quality measures exist for assessing conceptual understanding. This study explored the technical adequacy of three procedural and two conceptual algebra screening measures. We administered three rounds of assessments throughout…

South African Mathematical Literacy (ML) learners are unlikely to have mastered the mathematical skills essential for undergraduate degree studies in Business Science and are most likely to commence tertiary studies in a foundation programme (FP). One such FP at one private higher education institution included an algebra course and provided an…

Structure sense can be interpreted as an intuitive ability towards symbolic expressions, including skills to perceive, to interpret, and to manipulate symbols in different roles. This ability shows student algebraic proficiency in dealing with various symbolic expressions and is considered important to be mastered by secondary school students for…

This article describes a carefully structured exploration of formative assessment, conducted in the form of a classroom research experiment. The authors are an instructor and a student in a graduate course that assigned teachers to research formative assessment strategies, implement one or more strategies for several weeks, collect data from…

In collegiate mathematics, college algebra continues to be a barrier to graduation for students (specifically non-science, mathematics, engineering, and science majors). Each year, nearly half of enrolled students struggle to "pass" this course with a grade of C or better (Herriott, 2006). Using innovative constructed lessons geared…

This study uses "Critical Race Theory," "Settler Colonialism," and "Critical Whiteness Studies" to frame how property is recognized only under the auspices of whiteness. In the college algebra classroom, this is born out through white entitlement, racialized senses of sharing, and resource allocation. This study uses…

From 2016 to 2021, the Better Math Teaching Network (BMTN) aimed to transform high school mathematics teaching in New England. Researchers and teachers worked together to make high school Algebra I classes more student centered. Network leaders organized the BMTN as a networked improvement community (NIC) to address a common problem of practice…

The central purpose of this dissertation was to examine the difference in achievement levels between one- and two-way feedback between the student and teacher and the impact it has on achievement levels in a northeastern Texas school district. Effective feedback from the teacher had shown to improve student outcomes in mathematics on a regular…