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Strategies for the Interactive Resolution of Calculus Problems

机译:微积分问题的交互式解决策略

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摘要

In this work we show how MathEdu, an authoring tool for the design of collections of interactive problems of Mathematics that involve symbolic computation allows the use of resolution strategies. We also describe the mechanisms related to these strategies. MathEdu allows for the definition of interactive problems and their generalization. MathEdu allows also for the definition of resolution strategies and for the characterization of the cases when they can be applied. This process is based on the pattern matching of mathematical expressions. Specific problems are generated in MathEdu from generalized problem patterns by random generation, and students can solve them by means of an interactive dialog with the system, that validates the strategy used by the student and the results of the accomplished tasks.
机译:在这项工作中,我们展示了MathEdu(一种用于设计涉及符号计算的数学交互式问题的集合的创作工具)如何允许使用解析策略。我们还将描述与这些策略相关的机制。 MathEdu允许定义交互式问题及其概括。 MathEdu还允许定义解决方案策略,并在可应用案例时对其进行表征。此过程基于数学表达式的模式匹配。在MathEdu中,通过随机生成从广义问题模式中生成特定问题,学生可以通过与系统的交互式对话来解决它们,从而验证学生所使用的策略以及完成任务的结果。

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