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Siemon, Dianne; Day, Lorraine; Stephens, Max; Horne, Marj; Callingham, Rosemary; Watson, Jane; Seah, Rebecca – Mathematics Education Research Group of Australasia, 2017
The Australian Curriculum: Mathematics calls for the concurrent development of mathematical skills and mathematical reasoning. What are the big ideas of mathematical reasoning and is it possible to map their learning trajectories? Using rich assessment tasks designed for middle-years students of mathematics, this symposium reports on the…
Descriptors: Mathematics Instruction, Mathematical Logic, Thinking Skills, Middle School Students

Torok, Rob; Watson, Jane – Mathematics Education Research Journal, 2000
Presents an exploratory study in which four students from each of grades 4, 6, 8, and 10 were interviewed individually on aspects of variation present in three settings. The first setting was an isolated random sampling situation whereas the other two settings were real world sampling situations. Identifies and describes four levels of responding…
Descriptors: Cognitive Processes, Concept Formation, Elementary Secondary Education, Grade 10