id: 05763843
dt: j
an: 2010e.00506
au: Brown, Susan A.; Mehilos, Megan
ti: Using tables to bridge arithmetic and algebra.
so: Math. Teach. Middle Sch. 15, No. 9, 532-538 (2010).
py: 2010
pu: National Council of Teachers of Mathematics (NCTM), Reston, VA
la: EN
cc: H23 U73
ut: graphing calculators; equations; arithmetic; elementary algebra;
comprehension; educational technology; lower secondary; teaching
methods
ci:
li: http://www.nctm.org/eresources/article_summary.asp?URI=MTMS2010-05-532a&from=B
ab: Summary: Many students and adults feel that algebra is merely the shuffling
of symbols. The three interrelated concepts of variable, expression,
and equation are central to beginning algebra, and in recent years,
helping students understand the idea of a variable has been emphasized.
Although graphing calculators help students solve equations, it is also
important that students understand algebraic expressions. Students are
often asked to "combine like terms" or "expand" or "factor," which
requires that they apply the properties of algebra to transform an
expression into an equivalent one. But before these topics are
addressed, it is worthwhile to help students build meaning for the
concept of equivalent expressions. TABLE on a graphing calculator is a
powerful tool for helping students understand expressions. This
capability has been available for decades, but it is often overlooked.
However, it can be a key representation that helps students see the
meaning behind symbols. By effortlessly listing many specific examples,
this feature allows students to show that the value of an expression
depends on the value of its variable. In this article, the authors show
some of the ways in which TABLE acts as a powerful tool to help
students to make sense of variables, expressions, and equations. This
feature allows students to see algebraic symbols as general
descriptions of specific numbers, which is particularly valuable for
those students who need to develop an understanding of abstract
symbols. For all students, TABLE can act as a bridge from studentsâ€™
past experience with arithmetic to the new world of algebra. (Contains
9 figures.) (ERIC)
rv: