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Callejo, M. Luz; Pérez-Tyteca, Patricia; Moreno, Mar; Sánchez-Matamoros, Gloria – International Journal of Science and Mathematics Education, 2022
The objective of the study was to characterise how pre-service kindergarten teachers used a Hypothetical Learning Trajectory on length and its measurement to notice children's mathematical thinking. A total of 64 pre-service kindergarten teachers enrolled in an Early Years Education mathematics teaching course were asked to notice teaching…
Descriptors: Preservice Teachers, Preschool Teachers, Sequential Learning, Measurement
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Melike Yigit Koyunkaya; Burcak Boz-Yaman – International Electronic Journal of Mathematics Education, 2023
This study aims to examine the changes in students' mental constructions of function transformation based on the designed activities, classroom discussions, exercises (ACE) teaching cycle in the light of the action, process, object, schema (APOS) theoretical framework. The study was conducted by seven volunteer students who were enrolled in…
Descriptors: Foreign Countries, Mathematics Education, Mathematical Concepts, Learning Processes
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Simon, Martin A. – PNA, 2016
This paper describes an emerging approach to the design of task sequences and the theory that undergirds it. The approach aims at promoting particular mathematical concepts, understood as the result of reflective abstraction. Central to this approach is the identification of available student activities from which students can abstract the…
Descriptors: Instructional Design, Sequential Learning, Mathematics Instruction, Mathematical Concepts