Practical Research to Unite Class Teaching Based on Education Method of Mathematical Course with Actual School Classes

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Math education has fallen in an inescapable vicious cycle, Typical rigid math classes increase the number of students who dislike math. Those students become adult, and they become parents and teachers with typical rigid mathematical concept. When such parents and teachers teach math to students, again, these students will dislike math. So, the vicious cycle never stops increasing the number of students who dislike math. To nurture good teachers with great flexible mathematical concept and class teaching concept is an effective concrete measure to escape from the vicious cycle. As a step for the purpose, efforts to develop teaching materials were made by uniting class teaching based on education method of mathematical course with actual school classes. Findings are as follows :1. Teachers should have great knowledge on math and teaching technique to conduct a class flexibly, for realizing a class where mathematical activities freely develop,2. Teachers or students who want to be teachers can study effective and concrete class teaching scenes through roll playing. They should experience actual math classes many times, by playing the pail of a student who tackles with unknown problems.3. Actualexperience of the scenes naturally triggers motivations toward developmental study on psychology of learning, teaching method, curriculum and mathematics in the background.4. Joint efforts by students and schoolteachers produce effects.5. Results depend on chosen teaching materials. New good teaching materials could be developed in the efforts. Especially, followings were attractive and substantial problems :- How many ways for paying 120 yen?- Class development on open-ended approach Review on elementary geometry (Problem structure with a story) - Mathematical background of sketchmap