The purpose of this article is to investigate empirically the development of solutions through looking-back activities in terms of potential ability for mathematics learning (Nakahara, 2002). In order to investigate whether there is any development of solutions after a specific looking-back activity, a control group and three experimental groups were set up. Each experimental treatment consisted of replying to a pair of questions: the first question requested subjects to explain their own solution; the second one was intended for implementing a specific looking-back activity with the corresponding function of "checking your own solution" (Check-Solution Treatment), "inquiring into another or better solution" (Another/Better-Solution Treatment), and "examining the validity or generalizability of your own solution" (Validation/Generalization Treatment), respectively. The results were examined in terms of the treatments and the subjects' potential ability for mathematics learning, and we could find the following points. (1) For the high potential ability group, the Another/ Better-Solution Treatment was effective. (2) For the low potential ability group, all of the three treatments were effective; in particular, the Another/ Better-Solution Treatment and the Validation/Generalization Treatment contributed to the development of solutions. This was compared with the control group, whose members appeared to have the common difficulty of developing their own solution without any looking-back activity.
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