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William D. Riihiluoma; Zeynep Topdemir; John R. Thompson – Physical Review Physics Education Research, 2025
The ability to relate physical concepts and phenomena to multiple mathematical representations--and to move fluidly between these representations--is a critical outcome expected of physics instruction. In upper-division quantum mechanics, students must work with multiple symbolic notations, including some that they have not previously encountered.…
Descriptors: Undergraduate Students, College Faculty, Physics, Science Instruction
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Shengqing He; Chen Chen – International Journal of Science and Mathematics Education, 2025
Students expose various intuitions in probability comparison and calculation tasks. Large volumes of research looked into these intuitions by categorizing learners' strategies, but fewer studies considered how these intuitions may be associated with learners' judgments. Even fewer examined the mixed effects of multiple intuitions held by the same…
Descriptors: Foreign Countries, Middle School Mathematics, Middle School Students, Mathematics Instruction