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For years, the teaching and learning of fractions has been
associated with rote memorization. But this mechanical approach to
instruction-which strips students of an ability to reason or make
sense of math-has resulted in a failure of understanding. Author
Monica Neagoy, drawing on decades of research studies, evidence
from teacher practice, and 25 years of experience working around
the world with teachers, students, and parents, addresses seven big
ideas in the teaching and learning of fractions in grades 2-6. Each
idea is supported by a vignette from a real classroom, common
misconceptions, a thorough unpacking of productive mathematical
thinking, and several multistep and thought-provoking problems for
teachers to explore. She offers three fundamental reasons why it's
imperative for us to take a closer look at how we teach fractions:
Fractions play a key role in students' feelings about mathematics.
Fractions are fundamental to school math and daily life. Fractions
are foundational to success in algebra. While a solid grounding in
algebra is necessary for a STEM career, the worthy goal of "algebra
for all" will not be possible until "fractions for all" is a
reality. Unpacking Fractions provides teachers with concrete
strategies for achieving that reality-in short, helping all
students gain the knowledge they need to feel at ease with
fractions.
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