Abstract
Mathematical modeling appeared in the 1980's during the historical trend
when students were encouraged to study mathematics on their initiative. Since
then, educational practice of mathematical modeling has been developed
multifariously, and has made progress in Japan. Today, the diversification of
learners and the need to raise their ability both individually and as a group are
increasing even more than before. On the other hand, confusion has begun over
"Mathematical Activity" (a new junior high school course of study). In this
situation, it can be said that we are at a phase where research and practice of
mathematical modeling must also search for a new direction. Considering the
above mentioned issues, the authors in this paper look back earnestly on the
mathematical modeling research and practice up to now, illustratively show their
current state and limits, and conclude by proposing a new direction in mathematical
modeling research and practice.
