Session 5     February 27, 2008
Dr. Sybilla Beckmann Kazez introduced Singapore Math- Using Strip Diagrams to Solve Problems.
Sybilla Beckmann is Professor of Mathematics at the University of Georgia. She was in Tucson to participate in the Elementary Teacher Preparation in Mathematics Conference at the U of A sponsored by the Institute for Mathematics and Education (IME) . Her current main interest is the mathematical education of teachers.
Sybilla described the Singapore method of problem-solving in an article she wrote for The Mathematics Educator.
Simple
pictures and diagrams accompany many problems, and
the same types of pictures and diagrams are used
repeatedly, as supports for different types of problems,
and across grade levels. These simple pictures and
diagrams are not mere procedural aids designed to help
children produce speedy solutions without
understanding. Rather, the pictures and diagrams
appear to be designed to help children make sense of
problems and to use solution strategies that can be
justified on solid conceptual grounds. Because of this
pictorial, sense-making approach, the elementary texts
used in Singapore can include problems that are quite
complex and advanced. Children can reasonably be
expected to solve these problems given the problemsolving
and sense-making tools they have been
exposed to.(The Mathematics Educator
2004, Vol. 14, No. 1, 42–46)
Some of the AIMS Standards addressed include:
1.1.4 Determine the equivalency between and among fractions, decimals, and percents in contextual situations.
1.2.1 Select grade-level appropriate operation to solve word problems.
1.2.2 Solve word problems using grade-level appropriate operations and numbers.
1.2.3 Apply grade-level appropriate properties tO assist in computation.
1.2.4 Use grade-level appropriate mathematical terminology.
1.2.14 Solve problems involving fractions or decimals in contextual situations.
3.3.2 Use variables in contextual situations.
5.1.1 Discriminate necessary information from unnecessary information in a given grade-level appropriate word problem.
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| Sybilla and Carolyn discuss one of the problems. |