2014 年 20 巻 2 号 p. 49-61
The objective of this study is to clarify the significance of connecting science and mathematics by focusing on methodological difference between science and mathematics. First, methodological difference between pure science and pure mathematics was identified based on Popper’s three world theory. In pure science temporal theory is developed through the interaction between World One and World Three. On the other hand, in pure mathematics temporal theory is developed through the interaction within World Three. Next, the difference of functional thinking in science and mathematics education was discussed. In science education functional thinking is used in concrete world and in mathematics education it is used in not only concrete world but also abstract world. Finally, significance of connecting science and mathematics was considered. The discussion concludes that connecting science and mathematics enable to discuss based on free interaction between World One and World Three.