MATHEMATICAL PROBLEM SOLVING
by
James W. Wilson, Maria L. Fernandez, and Nelda Hadaway
Your problem may be modest; but if it challenges your curiosity and brings into play your
inventive faculties, and if you solve it by your own means, you may experience the tension
and enjoy the triumph of discovery. Such experiences at a susceptible age may create a
taste for mental work and leave their imprint on mind and character for a lifetime. (26, p.
v.)
Problem solving has a special importance in the study of mathematics. A primary goal of
mathematics teaching and learning is to develop the ability to solve a wide variety of
complex mathematics problems. Stanic and Kilpatrick (43) traced the role of problem
solving in school mathematics and illustrated a rich history of the topic. To many
mathematically literate people, mathematics is synonymous with solving problems --
doing word problems, creating patterns, interpreting figures, developing geometric
constructions, proving theorems, etc. On the other hand, persons not enthralled with
mathematics may describe any mathematics activity as problem solving.
Learning to
MATHEMATICAL PROBLEM SOLVINGbyJames W. Wilson, Maria L. Fernandez, and Nelda HadawayYour problem may be modest; but if it challenges your curiosity and brings into play yourinventive faculties, and if you solve it by your own means, you may experience the tensionand enjoy the triumph of discovery. Such experiences at a susceptible age may create ataste for mental work and leave their imprint on mind and character for a lifetime. (26, p.v.)Problem solving has a special importance in the study of mathematics. A primary goal ofmathematics teaching and learning is to develop the ability to solve a wide variety ofcomplex mathematics problems. Stanic and Kilpatrick (43) traced the role of problemsolving in school mathematics and illustrated a rich history of the topic. To manymathematically literate people, mathematics is synonymous with solving problems --doing word problems, creating patterns, interpreting figures, developing geometricconstructions, proving theorems, etc. On the other hand, persons not enthralled withmathematics may describe any mathematics activity as problem solving.Learning to
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