Self-Directed Problem Solving: Idea Production in Mathematics
In order to achieve standards recommended by the National Council of Teachers of Mathematics and other groups pressing for substantial change in instruction, students must confront the ways in which they approach learning. This book develops levels of self-direction in which students use problem solving to break through misconceptions.
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A Program for SelfDirection
The Power of SelfDirected Thinking
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activities algorithms answer ask students assessment beliefs challenge choices classroom Cognitive Cognitive Science college student complex computation connections construct Constructive Mathematical context contribute cost decisions directions drawing Educational Testing Service evaluation example expect experience Figure fractions given facts grade groups help students Hillsdale idea listing idea production individuals initiate instruction interpretations invention Jersey large number Latoya Lawrence Erlbaum learning and problem levels of self-direction list ideas math mathematical power Mathematical Problem Solving Mathematics Education meaning metacognition monitor multiple original thinking Paul Duguid possible prior knowledge productive thinking question Radical Constructivism Reading Activity recall rectangle response restate routine thinking score self-directed problem solving self-help Self-Regulated Learning Situated Cognition situations solutions solve problems solvers steer fit students learn students list students produce ideas symbols Terry Wood thinking strategies transfer of learning understanding word problems write