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Shinno, Yusuke; Fujita, Taro – International Journal of Mathematical Education in Science and Technology, 2022
In this study we aim to characterize a way of proving which can be produced in a primary mathematics classroom and explore the factors that influence these processes and lead to changes in the way of proving. Assuming proving as a socially embedded activity, we conceptualize it as the interplay between 'construction' and 'substantiation' based on…
Descriptors: Elementary School Mathematics, Mathematics Instruction, Mathematical Logic, Validity
Li, Hui-Chuan – International Journal of Mathematical Education in Science and Technology, 2014
This study examines students' procedural and conceptual achievement in fraction addition in England and Taiwan. A total of 1209 participants (561 British students and 648 Taiwanese students) at ages 12 and 13 were recruited from England and Taiwan to take part in the study. A quantitative design by means of a self-designed written test is adopted…
Descriptors: Comparative Analysis, Addition, Mathematics Instruction, Foreign Countries