賴以威Lai, I-Wei黃暐家Huang, Wei-Chia2024-12-172024-01-022024https://etds.lib.ntnu.edu.tw/thesis/detail/c23b9ee4d1239dfb91899e417c666c1d/http://rportal.lib.ntnu.edu.tw/handle/20.500.12235/122903在當今數位學習非常盛行的時代，教學影片已經是許多人學習的管道。為了減少教學影片製作的時間，本實驗室先前提出了自動生成教學影片的系統，然而該系統生成的數學詳解影片（explanatory math animation, EMA）動畫呈現較固定，且動畫設計也較耗時。本篇研究提出利用逐步解題器分析出解題步驟，並根據解題步驟設計名為詳解工具的動畫模板，再藉由結合各步驟的動畫生成 EMA 之技術。此技術生成之 EMA 相較於先前的系統擁有更多元的動畫呈現，也因各步驟的數學運算大多較為基本，詳解工具設計的時間成本也相對較低。此外，本篇論文所設計之詳解工具對於相同的數學運算，可以呈現不同的教學方式，再藉由本研究提出之步驟解法分類，分析出各步驟合適的詳解工具，可以使本研究生成之 EMA 更加貼近教學現場，進而提升學生的學習體驗與效率。本研究成果與現有數位學習資源相比，可以在短時間內生成與均一教育平台相似，甚至更高品質且不限數學題目類型的 EMA。本研究不僅擁有 Wolfram Alpha 所沒有的動態視覺化呈現，也可提供 Photomath 所沒有的完整數學解題動畫。Due to the development of digital learning, instructional videos become a popular method for learning. To reduce the time cost of producing instructional videos, our laboratory proposed a system for automatically generating instructional videos. However, the types of explanatory math animation (EMA) generated from the system are limited, and the animation design is also time-consuming. In this paper, we propose using the step-by-step solver to analyze the mathematical problem solution steps and design the explanatory tool, the animation template based on the solution steps. Then, we merge the animations of each step to generate EMA. Compared with the previous system, our research can generate EMA with more animation presentation styles. Since most of the mathematical operations in each step are relatively basic, the time cost of designing the explanatory tool is lower.In addition, the explanatory tool designed in this paper can present different teaching methods for the same mathematical operation. By classifying the solution of the step proposed in this paper and analyzing the appropriate explanatory tool for each step, the generated EMA can be more closely aligned with the teaching environment.Compared with existing digital learning resources, our research can generate EMA similar to the Junyi Academy, and even higher quality EMA in a short time without being limited to the type of mathematical problem. Our research not only has dynamic visualization that Wolfram Alpha does not have, but also provides better problem-solving animation compare with Photomath.數學詳解影片影片生成逐步解題器數位學習教學呈現explanatory math animationvideo generatingstep-by-step solverdigital learningteaching presentation學術論文