id: 06258994
dt: b
an: 2014b.00389
au: Schliemann, Analúcia D.; Carraher, David W.; Brizuela, Bárbara M.
ti: Bringing out the algebraic character of arithmetic. From children’s ideas
to classroom practice.
so: Studies in Mathematical Thinking and Learning Series. Mahwah, NJ: Erlbaum
(ISBN 978-0-8058-4338-5/hbk; 978-0-8058-5873-0/pbk). xviii, 144~p.,
with CD-ROM. (2006).
py: 2006
pu: Mahwah, NJ: Erlbaum
la: EN
cc: F10
ut:
ci:
li:
ab: Publisher’s description: This book contributes to a growing body of
research relevant to efforts to make algebra an integral part of early
mathematics instruction, an area of studies that has come to be known
as early algebra. It provides both a rationale for promoting algebraic
reasoning in the elementary school curriculum and empirical data to
support it. The authors regard early algebra not as accelerated
instruction but as an approach to existing topics in the early
mathematics curriculum that highlights their algebraic character. Each
chapter shows young learners engaged in mathematics tasks where there
has been a shift away from computations on specific amounts toward
thinking about relations and functional dependencies. The authors show
how young learners attempt to work with mathematical generalizations
before they have learned formal algebraic notation. The book, suitable
as a text in undergraduate or graduate mathematics education courses,
includes a CD-ROM with additional text and video footage on how
students reason about addition and subtraction as functions; on how
students understand multiplication when it is presented as a function;
and on how children use notations in algebraic problems involving
fractions. These three videopapers (written text with embedded video
footage) present relevant discussions that help identify students’
mathematical reasoning. The printed text in the book includes
transcriptions of the video episodes in the CD-ROM.
rv: