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Hunter, 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
Carrier, James A. – ProQuest LLC, 2010
Many students encounter difficulty in their transition to advanced mathematical thinking. Such difficulty may be explained by a lack of understanding of many concepts taught in early school years, especially multiplicative reasoning. Advanced mathematical thinking depends on the development of multiplicative reasoning. The purpose of this study…
Descriptors: Formal Operations, Test Items, Number Systems, Grade 4
Latham, Dorothy – Mathematics Teaching Incorporating Micromath, 2007
In the renewed "Primary Framework for Mathematics" for England, great emphasis is given to calculation and its prerequisites (DfES, 2006). Expectations are increased for calculations and the recall of number facts, with mental calculation owning a higher profile, while progression in written calculation is clarified. The greater focus on…
Descriptors: Foreign Countries, Computation, Number Systems, Manipulative Materials