The aim of this study is to identify the basic components of the mathematical proof process in abstract algebra and to organize the proof process into phases with the help of these basic components. A basic component form was prepared by arranging a draft basic component form, which was created as a result of a document analysis in accordance with…

This article discusses algebraic thinking regarding positive integers and rational numbers when students, 6 to 9 years old in multilingual classrooms, are engaged in an algebraic learning activity proposed by the El'konin and Davydov curriculum. The main results of this study indicate that young, newly arrived students, through tool-mediated joint…

In this paper, we present the spontaneous and reasoned approaches by a Physicist (B.C.) and a Mathematician (T.B.). Section 1 is by B.C and section 2 is by T.B.

The purpose of this study was to investigate the gender differences in students' attitude toward mathematics and how attitude impacts achievement in the course. The sample consisted of 172 undergraduate health science students (123 women, 49 men) enrolled in mathematics courses at a University in the Midwestern United States. Data were collected…

Current recommendations for school mathematics include teaching algebra as a K-12 content stranding beginning in the elementary-school grades. The focus of this study was on preservice elementary mathematics teachers' knowledge of algebra content in the intended curriculum for K-8 mathematics. In the Common Core State Standards for Mathematics…

This research aimed to analyze Algebra unit in both the old and new Palestinian curriculum for the ninth grade by using deductive content analysis based on the social semiotic approach. The results of this study showed that, in both books, the mental, behavioral, and verbal processes were more frequent than the relational, existential, and…

Contribution: In this study, an alternative educational approach for introducing quantum computing to a wider audience is highlighted. The proposed methodology considers quantum computing as a generalized probability theory rather than a field emanating from physics and utilizes quantum programming as an educational tool to reinforce the learning…

The aim of this study is to determine the algebraic thinking levels, misconceptions and understanding levels of algebraic expressions of 6th, 7th and 8th grade students. In this research, developmental research methods, which is one of the descriptive studies, were used. This study was carried out with secondary school students (6th, 7th and 8th…

Increasingly individuals with Intellectual Disability (ID) are showing the capability of learning abstract mathematical skills like algebra. The purpose of the study was to show a method for teaching high school-aged individuals with ID the algebra skill of creating an equation from a line using a time-delay strategy and equation template. We…

Undeniably omnipresent in our everyday lives, electronic signal compression is a classical example that illustrates the ubiquity of mathematics in high-end technology and sciences. When dealing with piles of files, it is essential that each file takes up as little storage space as possible while maintaining quality. The cloud-based--available…

This implementation project focused on supporting teachers who provide mathematics instruction and/or intervention to students with mathematics learning disabilities (MLD) and mathematics difficulties (MD). The research team worked with three schools, over three years. Instructional delivery differed across schools, primarily in setting and amount…

The purpose of this explanatory, sequential mixed-methods (QUAN [right arrow] qual) study was to investigate undergraduates' attitudes toward mathematics and perceptions of a community of inquiry in the fully online (FO) mathematics learning environment. Specifically, the study aimed to learn more about relationships between undergraduates'…

Integrating visual representations in an interactive learning activity effectively scaffolds performance and learning. However, it is unclear whether and how "sustaining" or "interleaving" visual scaffolding helps learners solve problems efficiently and learn from problem solving. We conducted a classroom study with 63…

This journal-ready dissertation contains three articles related to the developmental mathematics redesign at Chandler-Gilbert Community College (CGCC). The first article covers background information related to the Maricopa Community College District (MCCCD) sponsored initiative from Fall 2011 through implementation at CGCC in Fall 2017. The…

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…