Dancing Mathematics: Exploration and Application of 3D Calculus Instruction

摘要

The high-speed processing ability of recent computers has made it easier for people to understand the meaning expressed by mathematical theory in fields such as mathematics and engineering. Therefore, using 3D computer animation techniques with geometric figures to simulate mathematical models in physics and engineering can help learners understand mathematical theory with greater ease. The purpose of this study was to use computer programming code to convert static mathematical functions into mathematical curve animations, and then place such dynamic mathematical media into a website learning system platform. The learner could select mathematical functions in the platform and use it to display related mathematical figures with 3D dynamic movement to engage in mathematical learning, and at the same time engage in analysis and exploration of the learning accomplishments from dynamic mathematics simulated animation, in order to understand the effects and results of applying programming language to the learning of mathematical functions. Providing the learner with rich visual and dynamic images makes it easy to attract his attention and elicit active and proactive learning, which are beneficial to cultivating the observation and thinking abilities of a learner. This greatly inspires learning interest, enhances anthroposophic training and creative applied thinking for mathematics, leading to efficacy for the amount of effort expended.