# Problem Solving Is that a problem by dffhrtcv3

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```									   Problem Solving

presented by
Donna McLeish
to
Deming Elementary School Teachers
January 19, 2005
Problem solving is MUCH MORE than
solving word problems.
Problem solving is a process
of building a mathematical model of a
situation
and then reasoning with the model
situation.
Problem solving is NOT a new
idea or process…
1977 – National Council of Supervisors of
Mathematics issued a position paper on
basic skills. The first basic skill listed was
problem solving: “Learning to solve
problems is the principal reason for
studying mathematics.”
NCSM defined problem solving as “the
process of applying previously acquired
knowledge to new and unfamiliar
situations.”
1980 – George Polya, in his classic
How to Solve It, wrote “Solving a
problem is finding the unknown means
to a distinctly conceived end.”

1998 – The Principles and Standards
the National Council of Teachers of
Mathematics states “Problem solving
means engaging in a task for which
the solution method is not known in
Everyday Mathematics

defines problem solving
as the process of modeling everyday
situations
using tools from mathematics.
Problem solving involves some or all
of the following steps:
1.   Identifying precisely what the problem is
2.   Analyzing what is known and seeking further data as
necessary
3.   Playing with the data to try to discover patterns and
meaning
4.   Identifying mathematical techniques that can help in
finding a solution
5.   Looking back and asking “Does the solution make
sense?”
Everyday Mathematics K-3
focuses on four problem-solving
representations
1.   Concrete
2.   Verbal
3.   Pictorial
4.   Symbolic
Representations are closely related to solution
strategies.
Often, translating a problem into another
representation is the key to solving it.
As you discuss problem and solutions, compare
various representations and ask children to
translate from one to another.
By encouraging multiple representations and
translations among representations, you can
help children develop into more powerful
problem solvers.

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