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Unpacking"" the ideas related to multiplication and division is a
critical step in developing a deeper understanding. To those
without specialised training, many of these ideas might appear to
be easy to teach. But those who teach in grades 3-5 are aware of
their subtleties and complexities. This book identifies and
examines two big ideas and related essential understandings for
teaching multiplication and division in grades 3-5. Big Idea 1
captures the notion that multiplication is usefully defined as a
scalar operation. Problem situations modelled by multiplication
have an element that represents the scalar and an element that
represents the quantity to which the scalar applies. Big Idea 2
relates to the algorithms that problem solvers have invented - some
of which have become "standard" - for multiplying and dividing. The
authors examine the ways in which counting, adding and subtracting
lead to multiplication and division, as well as the role that these
operations play in algebraic expressions and other advanced topics.
The book examines challenges in teaching, learning and assessment
and is interspersed with questions for teachers' reflection.
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