A Survey of Cross-curricular Integrated Learning in Mathematics and Physics

我们为一年级和二年级的学生使用CBL（基于计算器的实验室）和TI-83（图形计算器）进行了跨课程课程。该课程的目标是让学生通过动手活动了解数学和物理之间的联系。学生们进行实验，一个步行的人的运动，一个物体的下降，水的冷却速度，摆动的钟摆的运动，和声波。这是CBL和TI-83在日本首次用于根据日本数学和物理课程在课堂情境中探索物理现象。（1）学生将自己对物理定律的幼稚概念转化为科学概念;（2）学生自己将实验结果与已有的数学知识联系起来;（3）学生对身边的物理现象保持兴趣;（4）学生认识到数学的必要性;（5）学生认识到合作学习的重要性。

We have conducted a cross-curricular course for first-year and second-year students using CBL (Calculator Based Laboratory) and TI-83 (Graphing Calculator). The goal of the course is for students to learn about the connection between mathematics and physics through hands-on activities. Students conduct experiments on the motion of a walking person, the dropping of an object, the cooling rate of water, the motion of a swinging pendulum, and sound waves. This is the first time that CBL and TI-83 have been used in Japan to explore physical phenomena in a classroom situation based on the Japanese curriculum for mathematics and physics.The following findings were obtained ; (1) Students changed their naive concepts regarding the laws of physics into scientific concepts, (2) Students by themselves connected their experiment's results with their previous mathematical knowledge, (3) Students kept their interest in physical phenomena in their immediate circle, (4) Students realized the necessity of mathematics, (5) Students realized the importance of cooperative work.