| 摘要 |
An apparatus and method for computer-implemented tools for mathematics instruction are provided. These tools enable providing a context for a given problem, e.g. a mathematical problem. Such tools enable demonstrating understanding of the problem by enabling paraphrasing the context. The tools enable further understanding of the problem by enabling using models to depict the paraphrase. The tools further enable solving the problem. For example, a tool enables students to learn what it means to multiply fractions, to represent multiplication of fractions using visual models, and to use equations to compute answers. For example, students may be given a story problem as context. They paraphrase this context, choosing between two types of multiplication problems: groups of and part of. Students use one of two models to depict the paraphrase: the Two Number Line Model or the Double Area Model. Students solve the equation.
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