The primary purpose of this qualitative study was to examine the Algebra I and Algebra II mathematics course curriculum documents at a local high school to determine alignment to the mathematics section of the Texas Success Initiative Assessment (TSIA) and to identify content necessary for students to demonstrate college readiness in mathematics…

An important approach for developing children's algebraic thinking involves introducing them to generalized arithmetic at the time they are learning arithmetic. Our aim in this study was to investigate children's attention to and expression of generality with the subtraction-compensation property, as evidence of a type of algebraic thinking known…

The study advances the instrumental approach to mathematics education (Drijvers et al., 2013; Trouche, 2003), aiming to elucidate the interplay between students' reasoning competency, conceptual knowledge and tool utilisation in dynamic digital geometry and algebra environments. The dynamic properties of these environments pose a nuanced…

Recognizing, building, describing, extending, and analyzing patterns are key components of algebraic reasoning. Oftentimes pattern-based instruction is used to support the understanding of functions and variables. In this study, elementary preservice teachers (n = 23) were asked to explore, extend, explain, create equations for, and analyze…

In this study, we investigated how secondary students interpret algebraic expressions that contain literal symbols to stand for variables. We hypothesized that the natural number bias (i.e., the tendency to over-rely on knowledge and experiences based on natural numbers) would affect students to think that the literal symbols stand for natural…

With the system changes made in 2012 in Turkey, the fifth grade was transferred from the primary school level to the secondary school level. For this reason, secondary school teachers were forced to teach mathematics courses to a group of students they had never met before. Fifth-grade students do not deal with algebra and cannot use equations to…

In this paper the author explores and demonstrates the vital role mathematics plays in technology by showing how algebra, and in particular Boolean algebra, has become an essential part of how computers and computer languages work. Both Boolean logic and algebra are core competencies in Computer Science at the university level which may encourage…

"Epistemological justification" is a way of thinking that manifests itself through perturbation-resolution cycles revolving around the question "why and how was a piece of mathematical knowledge conceived?" The paper offers a conceptual framework for constituent elements of epistemological justification. The framework provides:…

For the first time in 32 years, the national average scale score in mathematics dropped by seven points across the country in grades four and eight, according to the latest results of the National Assessment on Educational Progress (NAEP). The 2022 results in mathematics were staggering, in which "math performance fell for the first time in…

With growing demand for online courses, it is important to assess the efficacy of quality online virtual instruction. This study investigates the impact of Edmentum's Courseware Algebra I on student achievement using data on 1,205 ninth-grade students from a large urban school district in the Midwest during the 2020-2021 school year. Utilizing a…

This scholarly inquiry critically examines the pedagogical aspects pertaining to the instruction and acquisition of Abstract Algebra within the realm of University Mathematics Education (UME). Drawing upon multiple lenses, including epistemological, cognitive, phenomenological, and institutional perspectives, this study investigates the formidable…

Some countries, including Indonesia, have a framework for understanding how students receive and process math concepts as new knowledge through learning styles. Learning style, particularly Kolb's model, is one of the learning styles that contribute to students' success in learning. Experts have explored the characteristics of Kolb's learning…

Objectives: The main objective of this study is to understand the factors that encourage the use of mobile ebooks among mathematics postgraduate students. Method: This study employed a qualitative case study approach. Eight mathematics postgraduate students from the algebra research group participated in the study. Data were collected via…

This study describes how 24 third graders (8-9 years old) relate and represent the relationships between variables when working with a functional thinking problem. This aspect contributes to providing insights about how elementary school students attend properties and relationships between covarying quantities rather than isolated computations.…

This paper describes the difficulties faced by a group of middle school students (13- to 15-year-olds) attempting to translate algebraic statements written in verbal language into symbolic language and vice versa. The data used were drawn from their replies to a written quiz and semi-structured interviews. In the former, students were confronted…