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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
Stillman, Gloria Ann; Brown, Jill P. – Mathematical Thinking and Learning: An International Journal, 2023
This paper investigates students' mathematical modeling activity in data-rich modeling tasks. It aims at gaining insight into how students develop meaning when modeling data-rich situations and the mathematical models produced. A tendency to model a particular dataset, rather than the phenomenon that the dataset is a particular instance of, has…
Descriptors: Mathematical Models, Data Analysis, Grade 10, Grade 11
Kop, Peter M. G. M.; Janssen, Fred J. J. M.; Drijvers, Paul H. M.; van Driel, Jan H. – Mathematical Thinking and Learning: An International Journal, 2021
Student insight into algebraic formulas, including the ability to identify the structure of a formula and its components and to reason with and about formulas, is an issue in mathematics education. In this study, we investigated how 16- and 17-year-old pre-university students' insight into algebraic formulas can be promoted through graphing…
Descriptors: Algebra, Mathematics Instruction, Teaching Methods, Secondary School Students
Zahner, William; Wynn, Lynda – Mathematical Thinking and Learning: An International Journal, 2023
Learning trajectory (LT) research in mathematics education has shaped both instructional materials and assessments. But, the body of LT research has also been critiqued for not adequately considering equity and addressing student diversity. This study begins to fill this gap by characterizing the reasoning of 23 multilingual students who…
Descriptors: Educational Change, Teaching Methods, Learning Trajectories, Multilingualism