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Livy, Sharyn; Muir, Tracey; Sullivan, Peter – Australian Primary Mathematics Classroom, 2018
Productive struggle leads to productive classrooms where students work on complex problems, are encouraged to take risks, can struggle and fail yet still feel good about working on hard problems (Boaler, 2016). Teachers can foster a classroom culture that values and promotes productive struggle by providing students with challenging tasks. These…
Descriptors: Mathematics Instruction, Problem Solving, Mathematics, Professional Personnel
Muir, Tracey; Bragg, Leicha A.; Livy, Sharyn – Australian Primary Mathematics Classroom, 2015
The concept of functional thinking as a foundational idea associated with algebraic thinking is explored by Tracey Muir, Leicha Bragg and Sharyn Livy. They provide ideas for using children's literature as a context to promote functional thinking
Descriptors: Elementary School Mathematics, Thinking Skills, Childrens Literature, Algebra
Muir, Tracey – Australian Primary Mathematics Classroom, 2012
Although number sense is difficult to define, it involves having a good intuition about numbers and their relationships, including the ability to have a "feel" for the relative size of numbers and to make reasonable estimations. Students with good number sense typically recognise the relative magnitude of numbers, appreciate the effect…
Descriptors: Numbers, Grade 5, Elementary School Students, Mathematical Concepts
Muir, Tracey – Australian Primary Mathematics Classroom, 2007
When asked to calculate the area of a particular shape, one student responded by asking, "Is that the outside or the inside?" while another student replied, "I think it's the one where you put a little 2 next to it." Both of these responses indicate a lack of conceptual understanding of area and reinforce the research findings…
Descriptors: Grade 4, Grade 3, Elementary School Students, Mathematical Concepts