GeoGebra中建模、可视化和编程的综合作为教授和学习STEM主题的有效方法
Synthesis of Modeling, Visualization, and Programming in GeoGebra as an Effective Approach for Teaching and Learning STEM Topics
摘要：
GeoGebra是一个交互式的几何，代数，统计和微积分应用程序，旨在教授和学习数学，科学和工程。它的动态界面允许用户准确和交互地可视化他们的工作，模型和结果。GeoGebra采用了三个关键功能的综合：建模，可视化和编程（MVP）。许多研究表明，GeoGebra对与科学，技术，工程和数学相关的学习和教学主题的效率和有效性产生了积极影响。在这项研究中，我们讨论了GeoGebra如何提供一个学习环境，是非常互动和协作的学习者和教师之间。我们还展示了如何将GeoGebra集成到学习计划中，可以帮助提高学校和大学学生在许多高级数学课程中的技能和知识，如计算，数理统计，线性代数，线性规划，计算机辅助设计，计算机辅助几何设计，解析和射影几何，以及图形表示。因此，本研究显示了GeoGebra及其MVP关键功能在科学和工程领域的有效性，特别是在与数学相关的主题中。深入分析了GeoGebra的每个关键特性，并讨论了进一步的分析以及GeoGebra如何在不同的主题中提供帮助。
英文摘要：
GeoGebra is an interactive geometry, algebra, statistics, and calculus application designed for teaching and learn-ing math, science, and engineering. Its dynamic interface allows its users to accurately and interactively visualize their work, models, and results. GeoGebra employs the synthesis of three key features: modeling, visualization, and programming (MVP). Many studies have shown the positive effects of GeoGebra on the efficiency and effectiveness of learning and teaching topics related to science, technology, engineering, and mathematics. In this study, we dis-cuss how GeoGebra provides an environment for learning that is very interactive and collaborative between the learner and the instructor. We also show how integrating GeoGebra into the learning scheme can help improve the skills and knowledge of school and university students in numerous advanced mathematical courses, such as calcu-lus, mathematical statistics, linear algebra, linear programming, computer-aided design, computer-aided geomet-ric design, analytic and projective geometry, and graphical representation. Therefore, this study shows the effec-tiveness of GeoGebra and its MVP key features in science and engineering, particularly in topics related to mathe-matics. Each key feature of GeoGebra is thoroughly analyzed, and further analyses, along with how GeoGebra can be helpful in different topics, are discussed.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
