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Books > Social sciences > Education > Teaching of a specific subject
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Children's Fractional Knowledge (Hardcover, 1st ed. 2010)
Loot Price: R3,255
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Children's Fractional Knowledge (Hardcover, 1st ed. 2010)
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Children's Fractional Knowledge elegantly tracks the construction
of knowledge, both by children learning new methods of reasoning
and by the researchers studying their methods. The book challenges
the widely held belief that children's whole number knowledge is a
distraction from their learning of fractions by positing that their
fractional learning involves reorganizing-not simply using or
building upon-their whole number knowledge. This hypothesis is
explained in detail using examples of actual grade-schoolers
approaching problems in fractions including the schemes they
construct to relate parts to a whole, to produce a fraction as a
multiple of a unit part, to transform a fraction into a
commensurate fraction, or to combine two fractions multiplicatively
or additively. These case studies provide a singular journey into
children's mathematics experience, which often varies greatly from
that of adults. Moreover, the authors' descriptive terms reflect
children's quantitative operations, as opposed to adult
mathematical phrases rooted in concepts that do not reflect-and
which in the classroom may even suppress-youngsters' learning
experiences. Highlights of the coverage: Toward a formulation of a
mathematics of living instead of being Operations that produce
numerical counting schemes Case studies: children's part-whole,
partitive, iterative, and other fraction schemes Using the
generalized number sequence to produce fraction schemes Redefining
school mathematics This fresh perspective is of immediate
importance to researchers in mathematics education. With the
up-close lens onto mathematical development found in Children's
Fractional Knowledge, readers can work toward creating more
effective methods for improving young learners' quantitative
reasoning skills.
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