A study of teaching materials development of integrated learning according to students' mathematical modelling competence

本研究旨在针对学生的数学建模能力，设计整合性学习教案，并明确教材的有效性。我们为一年级和二年级的学生开发了一门跨课程课程，使用CBL（基于计算器的实验室）和TI-83（图形计算器）。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。学生们对行走的人的运动、物体的下落、水的冷却速度、摆动的钟摆的运动和声波进行了实验。学生能够（1）选择最合适的数学模型，（2）确定各种拟议模型的有效性，（3）使用他们的数学模型预测未来可能的结果，（4）讨论了它们的数学模型的意义。

The purpose of this study is to develop integrated learning lesson plans according to students' mathematical modelling competence and to make clear the effectiveness of the teaching materials. We have developed 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.The following findings were obtained : Students were able to (1) choose the most appropriate mathematical model, (2) determine the validity of various proposed models, (3) predict the likely future outcomes using their mathematical model, and (4) discuss a meaning of their mathematical model.