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In the context of a full credit system, the course Foundations of Mathematics for Artificial Intelligence faces the challenge of linking foundational mathematical knowledge to real-world engineering problems. This paper introduces the teaching philosophy of “integration of theory and practice” and the model of “interest inspiration-project progression-AI coaching-classroom competition”, supported by diverse evaluation mechanisms to ensure course objectives are met. Curriculum reform has led to excellent student performance, with an average score of 3.61, far surpassing the 3-point graduation benchmark, and a 93% pass rate. Surveys show that 100% of students appreciate the course content design and its comprehensive assessment system. Additionally, 92% believe the course model significantly enhanced their learning efficiency.
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针对完全学分制背景下“人工智能数学基础”课程面临的如何有效关联数学基础知识与实际工程问题,本文提出“理实融合,课程融通”教学思想及“兴趣启发-项目进阶-AI陪练-课堂竞赛”的教学模式,并结合多种评价机制保证课程目标达成情况。课程改革实践表明,学生表现优异,课程目标平均得分3.61,远超毕业达标标准(3分),课程及格率达93%。教学的满意度调查显示,100%的学生对课程内容设计表示认可,表明课程的考核体系全面有效;92%的学生认为课程模式提升了学习效率。
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2024(13): 146-150., articleTitle=基于CANVAS平台的课程评价及其在高校教师职称晋升中的应用, refAbstract=null)], funds=[Fund(id=1192825666421800961, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, awardId=Hnjg2024ZD-2, language=CN, fundingSource=海南省高等学校科学研究项目“《人工智能数学基础》课程建设研究与实践探索”(Hnjg2024ZD-2), fundOrder=null, country=null), Fund(id=1192825666514075650, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, awardId=Hnjg2023ZD-16, language=CN, fundingSource=海南省高等学校教育教学改革研究项目“专业学位研究生产教融合育人模式研究”(Hnjg2023ZD-16), fundOrder=null, country=null)], companyList=[AuthorCompany(id=1192825663666144179, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, xref=null, ext=[AuthorCompanyExt(id=1192825663674532788, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, companyId=1192825663666144179, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=School of Information and Communication Engineering, Hainan University, Haikou 570228), AuthorCompanyExt(id=1192825663678727093, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, companyId=1192825663666144179, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=海南大学信息与通信工程学院, 海口 570228)])], figs=[ArticleFig(id=1192825665192870872, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, language=EN, label=null, caption=null, figureFileSmall=IksIXEQgF1ASRM0yqaKV9w==, figureFileBig=wEDjWqZKc63f9QebuXifzg==, tableContent=null), ArticleFig(id=1192825665264174044, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, language=CN, label=图1, caption=
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概率论和贝叶斯理论的项目进阶, figureFileSmall=usRODjZWpsmTsH4bweKOsg==, figureFileBig=iJMuX+yWr7IEIDwUrkcrvQ==, tableContent=null), ArticleFig(id=1192825665599718376, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, language=EN, label=null, caption=null, figureFileSmall=7Yjq8YKe/sxlsqDEkdz72A==, figureFileBig=CP8gjjE+RPKzfpKTVexWjA==, tableContent=null), ArticleFig(id=1192825665662632938, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, language=CN, label=图4, caption=
概率论和贝叶斯理论的AI陪练, figureFileSmall=7Yjq8YKe/sxlsqDEkdz72A==, figureFileBig=CP8gjjE+RPKzfpKTVexWjA==, tableContent=null), ArticleFig(id=1192825665729741804, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, language=EN, label=null, caption=null, figureFileSmall=U5PmjP4Y7nUYIVWoc9xfCA==, figureFileBig=b31IMTPIkbIK2H3nULoZeg==, tableContent=null), ArticleFig(id=1192825665796850672, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, language=CN, label=图5, caption=
概率论和贝叶斯理论的课堂竞赛, figureFileSmall=U5PmjP4Y7nUYIVWoc9xfCA==, figureFileBig=b31IMTPIkbIK2H3nULoZeg==, tableContent=null), ArticleFig(id=1192825665868153841, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, language=EN, label=null, caption=null, figureFileSmall=PPqq+Kmkq3qgamhJCvUcsw==, figureFileBig=FxTUgnoz4yvrx5j5OKbXMw==, tableContent=null), ArticleFig(id=1192825665931068403, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, language=CN, label=图6, caption=
多元考核评价模式, figureFileSmall=PPqq+Kmkq3qgamhJCvUcsw==, figureFileBig=FxTUgnoz4yvrx5j5OKbXMw==, tableContent=null), ArticleFig(id=1192825666031731703, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, language=EN, label=null, caption=null, figureFileSmall=null, figureFileBig=null, tableContent=
| 课程目标 | 等级 |
| 远超预期(5分) | 超出预期(4分) | 达到预期(3分) | 未达预期(2分) | 远未达预期(1分) |
| 课程目标1 | 在兴趣启发和AI陪练环节熟悉掌握全部基本概念与知识点;课堂回答准确;在Canvas平台上学完全部理论知识,完成全部在线练习和测验,完成情况优秀 | 掌握全部概念与知识点;课堂回答准确;学完全部理论知识,完成全部在线练习和测验,完成情况良好 | 基本掌握全部概念与知识点;课堂回答准确;基本学完理论知识,完成部分在线练习和测验 | 少数基本概念与知识点未掌握;课堂回答准确率差;未完成全部理论知识的学习及在线练习和测验 | 多数基本概念与知识点未掌握;课堂回答准确率差;理论知识的学习及在线练习和测验未完成 |
| 课程目标2 | 在所有环节上课认真;课堂课后作业准确规范;积极参与项目与竞赛并有重大贡献;数学建模和算法分析的能力优秀 | 上课认真;作业准确规范;积极参与项目与竞赛并有一部分贡献;数学建模和算法分析的能力优秀 | 上课认真;作业准确规范;积极参与项目与竞赛并有少部分贡献;数学建模和算法分析的能力良好 | 上课认真;作业准确规范;不参与项目与竞赛或没有贡献;数学建模和算法分析的能力差 | 上课认真;未完成课堂课后作业;不参与项目与竞赛或没有贡献;数学建模和算法分析的能力差 |
| 课程目标3 | 在项目进阶和课堂竞赛环节具备抽象化思维,使用数学的相关方法和理论解决实际的AI问题;带领团队协作,使用编程实现模型,解决方案优秀 | 具备抽象化思维,使用数学的相关方法和理论解决问题;团队协作,编程实现模型,解决方案优秀 | 具备抽象化思维,使用数学的相关方法和理论解决问题;团队协作,编程实现模型,解决方案良好 | 具备抽象化思维,使用数学的相关方法和理论解决问题;不会编程实现模型,解决方案差 | 不具备抽象化思维,不会使用数学的相关方法和理论解决问题;不会编程实现模型,解决方案差 |
| 课程目标4 | 在项目进阶和课堂竞赛环节,团队任务完成优秀;解决方案及项目成果展示情况优秀 | 团队任务完成优秀;解决方案及项目成果展示情况良好 | 团队任务完成良好;解决方案及项目成果展示情况良好 | 未完成团队任务;解决方案及项目成果展示情况良好 | 未完成团队任务;解决方案及项目成果展示情况差 |
), ArticleFig(id=1192825666111423481, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, language=CN, label=表1, caption=
课程目标达成情况评估方法
, figureFileSmall=null, figureFileBig=null, tableContent=
| 课程目标 | 等级 |
| 远超预期(5分) | 超出预期(4分) | 达到预期(3分) | 未达预期(2分) | 远未达预期(1分) |
| 课程目标1 | 在兴趣启发和AI陪练环节熟悉掌握全部基本概念与知识点;课堂回答准确;在Canvas平台上学完全部理论知识,完成全部在线练习和测验,完成情况优秀 | 掌握全部概念与知识点;课堂回答准确;学完全部理论知识,完成全部在线练习和测验,完成情况良好 | 基本掌握全部概念与知识点;课堂回答准确;基本学完理论知识,完成部分在线练习和测验 | 少数基本概念与知识点未掌握;课堂回答准确率差;未完成全部理论知识的学习及在线练习和测验 | 多数基本概念与知识点未掌握;课堂回答准确率差;理论知识的学习及在线练习和测验未完成 |
| 课程目标2 | 在所有环节上课认真;课堂课后作业准确规范;积极参与项目与竞赛并有重大贡献;数学建模和算法分析的能力优秀 | 上课认真;作业准确规范;积极参与项目与竞赛并有一部分贡献;数学建模和算法分析的能力优秀 | 上课认真;作业准确规范;积极参与项目与竞赛并有少部分贡献;数学建模和算法分析的能力良好 | 上课认真;作业准确规范;不参与项目与竞赛或没有贡献;数学建模和算法分析的能力差 | 上课认真;未完成课堂课后作业;不参与项目与竞赛或没有贡献;数学建模和算法分析的能力差 |
| 课程目标3 | 在项目进阶和课堂竞赛环节具备抽象化思维,使用数学的相关方法和理论解决实际的AI问题;带领团队协作,使用编程实现模型,解决方案优秀 | 具备抽象化思维,使用数学的相关方法和理论解决问题;团队协作,编程实现模型,解决方案优秀 | 具备抽象化思维,使用数学的相关方法和理论解决问题;团队协作,编程实现模型,解决方案良好 | 具备抽象化思维,使用数学的相关方法和理论解决问题;不会编程实现模型,解决方案差 | 不具备抽象化思维,不会使用数学的相关方法和理论解决问题;不会编程实现模型,解决方案差 |
| 课程目标4 | 在项目进阶和课堂竞赛环节,团队任务完成优秀;解决方案及项目成果展示情况优秀 | 团队任务完成优秀;解决方案及项目成果展示情况良好 | 团队任务完成良好;解决方案及项目成果展示情况良好 | 未完成团队任务;解决方案及项目成果展示情况良好 | 未完成团队任务;解决方案及项目成果展示情况差 |
), ArticleFig(id=1192825666203698171, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, language=EN, label=null, caption=null, figureFileSmall=null, figureFileBig=null, tableContent=
| 课程目标 | 支撑毕业要求 | 远超预期 (5分)学生 人数占比/% | 超出预期 (4分)学生 人数占比/% | 达到预期 (3分)学生 人数占比/% | 未达预期 (2分)学生 人数占比/% | 远未达预期 (1分)学生 人数占比/% | 分值 |
| 课程目标1 | 1 | 20 | 34 | 43 | 2 | 1 | 3.70 |
| 课程目标2 | 1, 12 | 14 | 26 | 56 | 2 | 2 | 3.48 |
| 课程目标3 | 1, 3, 12 | 12 | 28 | 54 | 3 | 3 | 3.43 |
| 课程目标4 | 10, 12 | 25 | 35 | 39 | 1 | 0 | 3.84 |
| 总评分(平均值) | 3.61 |
), ArticleFig(id=1192825666270807039, tenantId=1146029695717560320, journalId=1190235702286704641, articleId=1192778884794953816, language=CN, label=表2, caption=
课程目标评价
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| 课程目标 | 支撑毕业要求 | 远超预期 (5分)学生 人数占比/% | 超出预期 (4分)学生 人数占比/% | 达到预期 (3分)学生 人数占比/% | 未达预期 (2分)学生 人数占比/% | 远未达预期 (1分)学生 人数占比/% | 分值 |
| 课程目标1 | 1 | 20 | 34 | 43 | 2 | 1 | 3.70 |
| 课程目标2 | 1, 12 | 14 | 26 | 56 | 2 | 2 | 3.48 |
| 课程目标3 | 1, 3, 12 | 12 | 28 | 54 | 3 | 3 | 3.43 |
| 课程目标4 | 10, 12 | 25 | 35 | 39 | 1 | 0 | 3.84 |
| 总评分(平均值) | 3.61 |
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