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Margherita Piroi – Educational Studies in Mathematics, 2025
This study aims at elaborating a well-established theoretical framework that distinguishes three modes of thinking in linear algebra: the analytic-arithmetic, the synthetic-geometric, and the analytic-structural mode. It describes and analyzes the bundle of signs produced by an engineering student during an interview, where she was asked to recall…
Descriptors: Undergraduate Students, Engineering Education, Case Studies, Algebra
Ilknur Reisoglu; Muhibe Nur Marangoz – International Journal of Education in Mathematics, Science and Technology, 2025
This study aims to examine postgraduate theses focusing on technology integration in the field of mathematics education in Turkey between 2015-2023, taking into account the didactic focus classification. In this research, systematic literature review was used to address research questions. This systematic literature review followed the Preferred…
Descriptors: Mathematics Education, Educational Technology, Technology Integration, Masters Theses
Alexandre Cavalcante – International Electronic Journal of Mathematics Education, 2025
This article examines the integration of financial numeracy in secondary mathematics textbooks. It addresses the gap in literature on how financial concepts are portrayed in textbooks, contributing to the establishment of financial numeracy as a field of research and practice. The study analyzed financial numeracy tasks in three published textbook…
Descriptors: Financial Literacy, Secondary Education, Textbooks, Textbook Content
Demetra Pitta-Pantazi; Maria Chimoni; Constantinos Christou – International Journal of Science and Mathematics Education, 2025
This article reports on an empirical study that investigates the way students' performance in solving arithmetical tasks may be related to their performance in solving algebraic tasks. The sample consisted of 203 Grade 6 students. The arithmetical tasks involved arithmetical expressions with known quantities, whereas the algebraic tasks involved…
Descriptors: Thinking Skills, Arithmetic, Mathematics Instruction, Algebra
Karen Zwanch; Brooke Mullins – Educational Studies in Mathematics, 2025
To understand the ways that manipulatives might support changes in students' reasoning about algebraic generalizations, a constructivist teaching experiment was conducted with two sixth-grade students. The students interpreted numerical situations with units of one and could construct units of units in mental activity. Initially, the students'…
Descriptors: Mathematics Education, Mathematics Instruction, Teaching Methods, Algebra
María D. Torres; Antonio Moreno; Rodolfo Vergel; María C. Cañadas – International Journal of Science and Mathematics Education, 2024
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…
Descriptors: Grade 2, Elementary School Mathematics, Arithmetic, Algebra
Elena M. Silla; Christina Areizaga Barbieri; Kristie J. Newton – Journal of Educational Psychology, 2024
Procedural flexibility is an important skill for algebra. Although prior work has focused on measuring students' procedural flexibility using arithmetic problems, word problems may also capture students' flexibility because of their open-ended nature. To date, no published study has examined the use of word problems as another measure of…
Descriptors: Middle School Students, Grade 6, Grade 7, Grade 8
Konstantinos P. Christou; Despoina Ioanna Kyrvei; Xenia Vamvakoussi – Mathematical Thinking and Learning: An International Journal, 2024
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…
Descriptors: Algebra, Mathematics Instruction, Grade 8, Grade 9
Marios Pittalis – Mathematics Education Research Journal, 2025
A theoretical model describing Grade 7 students' rational number sense was formulated and validated empirically (n = 360), hypothesizing that rational number sense is a general construct consisting of three factors: basic rational number sense, arithmetic sense, and flexibility with rational numbers. Data analysis suggested that rational-number…
Descriptors: Middle School Mathematics, Middle School Students, Grade 7, Numbers
Marianna Bosch; Angel Gutierrez; Salvador Llinares – ZDM: Mathematics Education, 2024
This survey paper presents recent relevant research in mathematics education produced in Spain, which allows the identification of different broad lines of research developed by Spanish groups of scholars. First, we present and describe studies whose research objectives are related to student learning of specific curricular contents and…
Descriptors: Foreign Countries, Mathematics Education, Preservice Teacher Education, Mathematics Skills
Kristine C. Glasener – ProQuest LLC, 2024
This study explored the mathematical learning experiences of adult students enrolled in a community college developmental mathematics course during the Fall 2023 semester. The study's main objective was to identify the types of experiences that help adult students learn foundational mathematics. Another goal of the study was to provide empirical…
Descriptors: Community College Students, Mathematics Instruction, College Mathematics, Arithmetic
Jeffrey Kramer Bye; Jenny Yun-Chen Chan; Avery H. Closser; Ji-Eun Lee; Stacy T. Shaw; Erin R. Ottmar – Journal of Numerical Cognition, 2024
Students often perform arithmetic using rigid problem-solving strategies that involve left-to-right-calculations. However, as students progress from arithmetic to algebra, entrenchment in rigid problem-solving strategies can negatively impact performance as students experience varied problem representations that sometimes conflict with the order…
Descriptors: Middle School Students, Middle School Mathematics, Arithmetic, Mathematics Skills
Duli Pllana – Online Submission, 2024
The aim of the exploratory method research centered on the presence of mathematical tools in STEM through three main questions: Is mathematics an essential tool in the field of STEM? Can mathematics complete projects solely with mathematical and digital tools? Does understanding mathematical modeling affect STEM teaching? A better understanding of…
Descriptors: STEM Education, Mathematics, Mathematical Models, Mathematics Instruction
Marian Small – National Council of Teachers of Mathematics, 2025
This extensively updated teaching resource provides over 100 engaging, full-color visuals with explanations of how they can be used to stimulate mathematics learning, to explain mathematical concepts, and to assess students' mathematical understanding in grades K-8. Readers are provided with a strong mathematical background, downloadable copies of…
Descriptors: Mathematical Concepts, Teaching Methods, Mathematics Instruction, Kindergarten