What assures that a mathematical representation of a word problem is correct? The response of problem solvers to a request like “Explain your answer” does not necessarily provide assurance. Instead, we complement the traditional algebraic word problem with a request to establish a mathematical representation generalizing the problem situation and then to justify the derivation of this mathematical representation. Next, we suggest to construct a valid deductive argument and evaluate the justification. We give three examples of executing the suggestion. This contribution will increase the resources available to school teachers wishing to engage students in reasoning-and-proving activity.

是什么保证了一个单词问题的数学表示是正确的？问题解决者对“解释你的答案”之类的请求的回应并不一定能提供保证。相反，我们要求建立一个概括问题情况的数学表示，然后证明这种数学表示的推导是对传统代数单词问题的补充。接下来，我们建议构建一个有效的演绎论证并评估其理由。我们给出了三个执行建议的例子。这项贡献将增加希望让学生参与推理和证明活动的学校教师可用的资源。