In my thought, this "breakthrough" is done by realizing easy-to-understand learning materials, and this "easy-to-understand" is realized by the way of "visualizing mathematical subjects".
Then, very timely for me, came "multimedia" and "Internet" (in particular, "WWW"). Their meanings for me are "the media that enable me to visualize mathematical subjects" and "the way of sending multimedia learning materials to learners", respectively.
In this way, the idea of "making breakthrough in mathematics education" was my starting point. And "WWW online class" is one of the options which would be applied when we intends to solve the problem by the way of "informationalization".
In subjecting "making breakthrough in mathematics education", it is important to accept a variety of options from the standpoint of "the right option in the right place".
In such options,
- "Multimedia presentation", in the meanings of "a multimedia version of the traditional instruction"
- "Televised video instruction" (especially, the one where the satellite communication is applied), in the meanings of "a remote (sometimes, wide-areal) version of the traditional instruction
"Multimedia presentation" is what I have been practicing since the facilitis of digital presentation was installed in the Iwamizawa campus in 1966. (
Digital-presentation-facilities in Iwamizawa campus)
But "televised video instruction" remains untouched. And I have been keeping it to be my subject of practice, too.