id: 06344374
dt: b
an: 2014f.00528
au: Otto, Albert; Caldwell, Janet; Hancock, Sarah Wallus; Zbiek, Rose Mary
ti: Developing essential understanding of multiplication and division for
teaching mathematics in grades 3‒5.
so: Reston, VA: National Council of Teachers of Mathematics (NCTM) (ISBN
978-0-87353-667-7/pbk; 978-0-87353-799-5/ebook). 84~p. (2011).
py: 2011
pu: Reston, VA: National Council of Teachers of Mathematics (NCTM)
la: EN
cc: F32 F33
ut:
ci:
li:
ab: Publisher’s description: “Unpacking" the ideas related to
multiplication and division is a critical step in developing a deeper
understanding. To those without specialized training, may 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 modeled 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.
rv: