{"title":"通过交互式虚拟现实和增强现实技术加强微积分学习:沉浸式教育工具研究","authors":"Logan Pinter, Mohammad Faridul Haque Siddiqui","doi":"10.3390/mti8030019","DOIUrl":null,"url":null,"abstract":"In the realm of collegiate education, calculus can be quite challenging for students. Many students struggle to visualize abstract concepts, as mathematics often moves into strict arithmetic rather than geometric understanding. Our study presents an innovative solution to this problem: an immersive, interactive VR graphing tool capable of standard 2D graphs, solids of revolution, and a series of visualizations deemed potentially useful to struggling students. This tool was developed within the Unity 3D engine, and while interaction and expression parsing rely on existing libraries, core functionalities were developed independently. As a pilot study, it includes qualitative information from a survey of students currently or previously enrolled in Calculus II/III courses, revealing its potential effectiveness. This survey primarily aims to determine the tool’s viability in future endeavors. The positive response suggests the tool’s immediate usefulness and its promising future in educational settings, prompting further exploration and consideration for adaptation into an Augmented Reality (AR) environment.","PeriodicalId":508555,"journal":{"name":"Multimodal Technologies and Interaction","volume":"53 8","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Enhancing Calculus Learning through Interactive VR and AR Technologies: A Study on Immersive Educational Tools\",\"authors\":\"Logan Pinter, Mohammad Faridul Haque Siddiqui\",\"doi\":\"10.3390/mti8030019\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the realm of collegiate education, calculus can be quite challenging for students. Many students struggle to visualize abstract concepts, as mathematics often moves into strict arithmetic rather than geometric understanding. Our study presents an innovative solution to this problem: an immersive, interactive VR graphing tool capable of standard 2D graphs, solids of revolution, and a series of visualizations deemed potentially useful to struggling students. This tool was developed within the Unity 3D engine, and while interaction and expression parsing rely on existing libraries, core functionalities were developed independently. As a pilot study, it includes qualitative information from a survey of students currently or previously enrolled in Calculus II/III courses, revealing its potential effectiveness. This survey primarily aims to determine the tool’s viability in future endeavors. The positive response suggests the tool’s immediate usefulness and its promising future in educational settings, prompting further exploration and consideration for adaptation into an Augmented Reality (AR) environment.\",\"PeriodicalId\":508555,\"journal\":{\"name\":\"Multimodal Technologies and Interaction\",\"volume\":\"53 8\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Multimodal Technologies and Interaction\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3390/mti8030019\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Multimodal Technologies and Interaction","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3390/mti8030019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
在大学教育领域,微积分对学生来说是一个相当大的挑战。许多学生很难将抽象概念形象化,因为数学往往是严格的算术而非几何理解。我们的研究针对这一问题提出了一种创新的解决方案:一种身临其境的交互式 VR 制图工具,能够绘制标准的二维图形、旋转实体以及一系列被认为对有困难的学生有潜在帮助的可视化图形。该工具是在 Unity 3D 引擎中开发的,虽然交互和表达解析依赖于现有的库,但核心功能是独立开发的。作为一项试验性研究,它包含了一项针对目前或以前学习微积分 II/III 课程的学生的定性调查信息,揭示了其潜在的有效性。这项调查的主要目的是确定该工具在未来工作中的可行性。积极的回应表明了该工具的直接实用性及其在教育环境中的广阔前景,促使我们进一步探索和考虑将其调整到增强现实(AR)环境中。
Enhancing Calculus Learning through Interactive VR and AR Technologies: A Study on Immersive Educational Tools
In the realm of collegiate education, calculus can be quite challenging for students. Many students struggle to visualize abstract concepts, as mathematics often moves into strict arithmetic rather than geometric understanding. Our study presents an innovative solution to this problem: an immersive, interactive VR graphing tool capable of standard 2D graphs, solids of revolution, and a series of visualizations deemed potentially useful to struggling students. This tool was developed within the Unity 3D engine, and while interaction and expression parsing rely on existing libraries, core functionalities were developed independently. As a pilot study, it includes qualitative information from a survey of students currently or previously enrolled in Calculus II/III courses, revealing its potential effectiveness. This survey primarily aims to determine the tool’s viability in future endeavors. The positive response suggests the tool’s immediate usefulness and its promising future in educational settings, prompting further exploration and consideration for adaptation into an Augmented Reality (AR) environment.