Abstract
In the paper, the ideal mathematics education research method for the future was reviewed from a perspective of problem-solving based on both narrow and broad sense. As a result, it has been pointed out that further enhancement of the teaching via problem-solving in high school mathematics is an urgent problem with a necessity of structural reform on high school mathematics texts. From a perspective of problem-solving in a broad sense, it has been described that a concept of “Exemplarity” is important, which connects generic skills to be exerted in the learning scenes of mathematics class with educational practice while indicating an emphasis on sociality. While “Exemplarity” itself is believed to transform along with the era and social background, it could become a task of curriculum research for the future how to identify “Exemplarity” in each subject.
