Generated meanings in the comprehension of word problems in mathematics |
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| Authors: | Zimra Peled M C Wittrock |
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| Institution: | (1) Ben Gurion University, Beer-Sheva, Israel;(2) University of California, 90024 Los Angeles, CA, U.S.A. |
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| Abstract: | A  Generative-Predicational Model is proposed and applied to the generation of meanings of simple mathematical word-problems. The model suggests that a fundamental property of cognition is a generative process that takes arguments and that produces results, such as events, answers and inferences. This fundamental property, called predication, generates a task-environment i.e., a problem and its corresponding problem-space i.e., its solution. More precisely, a task-environment is a predication consisting of a written mathematical problem and a writer's life experience. A problem-space is a predication consisting of a leamer's problem solving schema and of the meaning that the learmer generates for the text.The case with which relations can be established between a task-environment and a problem-space depends on the problem's coherence and complexity and the leamer's experiences and thought processes. Faceted definitions of task-environment and problem-space are used to analyze talk-aloud protocols of fifty Israeli sixth-graders tested with thirty word-problems. The empirical results support the proposed model. |
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