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

数学教育陷入了不可避免的恶性循环。典型的僵化的数学课增加了不喜欢数学的学生的数量。这些学生长大成人后，他们变成了家长和老师，有着典型的僵化的数学观念。当这样的家长和老师教学生数学时，这些学生又会不喜欢数学。因此，恶性循环不断增加不喜欢数学的学生人数。培养具有高度灵活的数学观念和课堂教学观念的优秀教师是摆脱恶性循环的有效具体措施。为此，将基于数学课程教育方法的课堂教学与学校实际课堂相结合，努力开发教材。研究结果如下：1。1 .教师应具备丰富的数学知识和教学技巧，灵活开展课堂，实现课堂上数学活动的自由展开；教师或想成为教师的学生可以通过角色扮演来学习有效而具体的课堂教学场景。他们应该多次体验实际的数学课，扮演一个解决未知问题的学生的角色。对场景的实际体验自然会引发对学习心理学、教学方法、课程和背景数学的发展研究的动机。学生和教师的共同努力产生了效果。结果取决于所选的教材。在此过程中可以开发出新的优质教材。特别是，以下是有吸引力和实质性的问题：- 120日元有多少种支付方式？初等几何复习（带故事的问题结构）-速写图的数学背景

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