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Direct linkAnna Shvarts; Rogier Bos; Michiel Doorman; Paul Drijvers – Educational Studies in Mathematics, 2024
Grasping mathematical objects as related to processes is often considered critical for mathematics understanding. Yet, the ontology of mathematical objects remains under debate. In this paper, we theoretically oppose internalist approaches that claim mental entities as the endpoints of process-object transitions and externalist approaches that…
Descriptors: Mathematics Education, Mathematical Concepts, Learning Processes, Mathematical Formulas
Alena Egorova; Vy Ngo; Allison S. Liu; Molly Mahoney; Justine Moy; Erin Ottmar – Mind, Brain, and Education, 2024
Perceptual learning theory suggests that perceptual grouping in mathematical expressions can direct students' attention toward specific parts of problems, thus impacting their mathematical reasoning. Using in-lab eye tracking and a sample of 85 undergraduates from a STEM-focused university, we investigated how higher-order operator position (HOO;…
Descriptors: Undergraduate Students, STEM Education, Mathematical Formulas, Mathematics Instruction
Download full textMaknun, Churun Lu'lu'il; Rosjanuardi, Rizky; Jupri, Al – Mathematics Teaching Research Journal, 2022
Epistemological obstacle is emphasized in mathematics education. Students often have limited students' context of knowledge in understanding trigonometry. Knowing the epistemology obstacle can help a teacher understand the student's misconception. Therefore, this study aimed to identify students' epistemological obstacles of trigonometry and…
Descriptors: Barriers, Epistemology, Learning Processes, Grade 11
Allison Dorko; John Paul Cook; Isaiah DeHoyos – Investigations in Mathematics Learning, 2023
In an online asynchronous vector calculus course, we observed exam answers solved with a formula from online homework instead of the formula from lecture. Our exploratory study investigated (1) why students learned from homework instead of lecture for this topic and (2) their epistemological frames (e-frames) for lecture and homework. Per (1),…
Descriptors: Mathematics Instruction, Homework, Calculus, Online Courses
Segal, Ruti; Stupel, Moshe – International Electronic Journal of Mathematics Education, 2023
The benefits of technological and theoretical scaffolding were observed when pre-service teachers aiming to teach upper elementary grades were given three learning-based geometrical inquiry tasks involving inscribed circles. They were asked to collaboratively examine the accompanying geometrical illustration and data for some new or interesting…
Descriptors: Preservice Teachers, Mathematics Teachers, Mathematics Instruction, Mathematics Skills
Svensson, Kim; Campos, Esmeralda – Physical Review Physics Education Research, 2022
The study of students' use of representations is one of the main topics of physics education research and is guided by the overarching field of semiotics. In this paper we compare two semiotic frameworks, one coming from didactics of mathematics and one from physics education research; "the theory of registers of semiotic…
Descriptors: Comparative Analysis, Semiotics, Science Instruction, Physics
