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Direct linkKonstantinos 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
Download full textHunter, Jodie; Miller, Jodie; Bowmar, Alex; Jones, Ian – Mathematics Education Research Group of Australasia, 2022
In this paper, we explore student solutions to a free response mathematical assessment task which had opportunities for students to notice structural properties in the context of number systems. In total, 308 students aged between 10 years to 13 years participated in the study. Their responses were analysed to determine whether they noticed…
Descriptors: Middle School Students, Mathematics Instruction, Mathematics Skills, Thinking Skills
Zwanch, Karen – North American Chapter of the International Group for the Psychology of Mathematics Education, 2019
The number sequences describe a hierarchy of students' concepts of number. This research uses two defining cognitive structures of the number sequences--units coordination and the splitting operation--to model middle-grades students' abilities to write linear equations representing the multiplicative relationship between two unknowns. Results…
Descriptors: Middle School Students, Mathematics Instruction, Algebra, Thinking Skills
Tzur, Ron; Johnson, Heather L.; McClintock, Evan; Risley, Rachael – North American Chapter of the International Group for the Psychology of Mathematics Education, 2012
In this paper we articulate an approach, termed culturally-mathematically relevant pedagogy (CMRP), for fostering urban English language learners' mathematical progression. CMRP integrates three aspects, the use of (1) adaptive teaching to build on students' funds of knowledge for mathematics, (2) tasks that make sense to students given their…
Descriptors: Culturally Relevant Education, Mathematics Instruction, Teaching Methods, Cultural Background
