{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T09:41:38Z","timestamp":1776937298013,"version":"3.51.4"},"publisher-location":"New York, NY, USA","reference-count":25,"publisher":"ACM","funder":[{"name":"This research was supported by the 2024 University-level Scientific Research Project (Grant Sponsor: Guizhou University of Commerce)","award":["This research was supported by the 2024 University-level Scientific Research Project (Grant Sponsor: Guizhou University of Commerce)"],"award-info":[{"award-number":["This research was supported by the 2024 University-level Scientific Research Project (Grant Sponsor: Guizhou University of Commerce)"]}]},{"name":"the 2022 University-level Teaching Reform Project (Grant Sponsor: Guizhou University of Commerce; Project Title: \u201cConstruction and Practice of \u2018Split Classroom\u2019 Teaching Model for \u2018Linear Algebra\u2019 Course Based on OBE Concept\u201d\uff09","award":["2022XJJG07"],"award-info":[{"award-number":["2022XJJG07"]}]},{"name":"the 2023 Guizhou Provincial Higher Education Teaching Content and Curriculum System Reform Project (Grant Sponsor: Guizhou Provincial Department of Education; Project Title: \u201cExploration of Blended Teaching Model for \u2018Applied Multiple Regression\u2019 Course Based on BOPPPS+DBL+Flipped Classroom\u201d)","award":["2023350"],"award-info":[{"award-number":["2023350"]}]},{"name":"the 2022 Youth Growth Project Fund of the Guizhou Provincial Department of Education (Grant Sponsor: Guizhou Provincial Department of Education; Project Title: \u201cResearch on Density-Biased Sampling Algorithm Based on Adaptive Grid Fusion and Its Applications\u201d)","award":["Qian Jiaoji [2022] 377"],"award-info":[{"award-number":["Qian Jiaoji [2022] 377"]}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2025,11,21]]},"DOI":"10.1145\/3797552.3797621","type":"proceedings-article","created":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T08:35:40Z","timestamp":1776933340000},"page":"426-435","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Research on Inverse Matrix Teaching Design Based on Case-Driven and Values-Integrated Education: An Empirical Analysis Using Machine Learning"],"prefix":"10.1145","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-1644-3633","authenticated-orcid":false,"given":"Renchong","family":"Zhang","sequence":"first","affiliation":[{"name":"College of Big Data and Intelligent Engineering, Guizhou University of Commerce, Guiyang, Guizhou, China,"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0004-4130-9183","authenticated-orcid":false,"given":"Chunyan","family":"Pan","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Qiannan Normal University for Nationalities, Duyun, Guizhou, China,"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2026,4,23]]},"reference":[{"key":"e_1_3_3_1_1_2","volume-title":"Discussion on the Teaching Design Ideas of Invertible Matrices[J]. Course Education Research","author":"Ren C Y","year":"2017","unstructured":"Ren C Y, Tian X. Discussion on the Teaching Design Ideas of Invertible Matrices[J]. Course Education Research, 2017(04):120. https:\/\/kns.cnki.net\/kcms2\/article\/abstract?v=BbvBZ4vy5aRQb9zV7DdRoXHqgBId0LW0HvX1MTGbiZRPx-kHpD24WqSAOuXKZZEl6D6OdPMAk-E9Yi_Xe1IoDUPLol5OXL4k9PEs99YjkdNAKm82NeUBHcWX_wX-7ycRY7TTCLvB5GBRBNd39nOSLpsyzZ6Woteo2khNECSYuGZX_eXd0mSg0Q==&uniplatform=NZKPT&language=CHS"},{"key":"e_1_3_3_1_2_2","doi-asserted-by":"publisher","DOI":"10.13398\/j.cnki.issn1673-260x.2018.08.054"},{"issue":"07","key":"e_1_3_3_1_3_2","first-page":"14","article-title":"Inverse Matrix","volume":"2020","author":"Li J Y","unstructured":"Li J Y, Bian X F. Micro-course Teaching Design of Linear Algebra Based on BOPPPS Teaching Model\u2014Taking \u201cInverse Matrix\u201d as an Example[J]. Mathematics Learning and Research, 2020(07):14-15. https:\/\/kns.cnki.net\/kcms2\/article\/abstract?v=BbvBZ4vy5aRJaIqN4frgs-WijPsISFujTMM6tAACxQpXe4FG4U56k3u0qnqFL3n0a5OjQNq4eVUUa5RlxWYaoWZd4XkJ0vxDGD0zOm2B8oM80JVazgsVP0pJUXtBdefozisi7O6r78wf3eJ_TH44foAgmx27kDzat7C7EuJxI3P4xKZVaGjY2w==&uniplatform=NZKPT&language=CHS","journal-title":"as an Example[J]. Mathematics Learning and Research"},{"key":"e_1_3_3_1_4_2","doi-asserted-by":"publisher","DOI":"10.19980\/j.cn23-1593\/g4.2020.27.033"},{"key":"e_1_3_3_1_5_2","doi-asserted-by":"publisher","DOI":"10.1007\/s10857-025-09696-0"},{"key":"e_1_3_3_1_6_2","doi-asserted-by":"publisher","DOI":"10.31876\/rie.v9i4.325"},{"key":"e_1_3_3_1_7_2","doi-asserted-by":"publisher","DOI":"10.26914\/c.cnkihy.2024.009740"},{"key":"e_1_3_3_1_8_2","doi-asserted-by":"publisher","DOI":"10.19392\/j.cnki.1671-7341.202301046"},{"issue":"17","key":"e_1_3_3_1_9_2","first-page":"12","article-title":"Teaching Design on Matrix Inversion[J]","volume":"2021","author":"Tian G Y","unstructured":"Tian G Y, Li X L. Teaching Design on Matrix Inversion[J]. Mathematics Learning and Research, 2021(17):12-13. https:\/\/kns.cnki.net\/kcms2\/article\/abstract?v=HHZEz91P5iK0cYs6eGRWdBXAo86rKP9ld00lGjldLMtcLEpH5I1anuM1MUrdToPxKrSlzcb8v2B5MeUgrcVKkmed1MZujZh68cRLayP7vsBAt9aVEQ0kHf7Q2xkSFat03x4rZ1wuzAEr0oOUS3REf7pIPPaWRgpQ4_EBJEvv5qCrBKqDX09LRg==&uniplatform=NZKPT&language=CHS","journal-title":"Mathematics Learning and Research"},{"key":"e_1_3_3_1_10_2","volume-title":"Teaching Design of Inverse Matrix[J]","author":"Yan W W","year":"2021","unstructured":"Yan W W, Bai Q Y. Teaching Design of Inverse Matrix[J]. University, 2021(19):68-71. https:\/\/kns.cnki.net\/kcms2\/article\/abstract?v=BbvBZ4vy5aTME6VYS1spSPtxmQk7EYECpbKCX_n7yWdECPlnO3IAbPxp6o97Fm0d14N9RuxpkteHV2dl9mYlaYIuOB-qy3wO__7Cb3Vh8tDZfsQ_J1ms_5i3EvDpRBruF5LwMnsbPJ4nJNlj2ZHTyPCohrNlT-Riz43bPdMiGZkwY9hPkG1ZHA==&uniplatform=NZKPT&language=CHS"},{"issue":"01","key":"e_1_3_3_1_11_2","first-page":"102","article-title":"Using Hill Cipher to Design Teaching Cases in Linear Algebra[J]","volume":"39","author":"Sun B","year":"2023","unstructured":"Sun B, Liu G Q, Hai X. Using Hill Cipher to Design Teaching Cases in Linear Algebra[J]. College Mathematics, 2023, 39(01):102-106. https:\/\/kns.cnki.net\/kcms2\/article\/abstract?v=BbvBZ4vy5aRjIWQWaKp8BSOQhQ_-40cUcECkskXyAe1ABGDA0EfpVgnrea3D_FwZTBMBreBf0UoNdPeDGEi4R9B2SmT84V_cKagsFNrR-0vmYSmOMl9LjtTWo4wB8H690cSiayRF_sMgPqujgQBylKM7QIjx7x9D7_Bd6anoE2F0_t4Jn7Z6gw==&uniplatform=NZKPT&language=CHS","journal-title":"College Mathematics"},{"key":"e_1_3_3_1_12_2","doi-asserted-by":"publisher","DOI":"10.19311\/j.cnki.1672-3198.2024.18.086"},{"key":"e_1_3_3_1_13_2","doi-asserted-by":"publisher","DOI":"10.19392\/j.cnki.1671-7341.202419023"},{"key":"e_1_3_3_1_14_2","doi-asserted-by":"publisher","DOI":"10.1080\/10511970.2018.1493010"},{"key":"e_1_3_3_1_15_2","doi-asserted-by":"publisher","DOI":"10.1177\/17483026241252407"},{"issue":"31","key":"e_1_3_3_1_16_2","first-page":"5","article-title":"Teaching Design of Invertible Matrices[J]","volume":"2022","author":"Zhou Q N","unstructured":"Zhou Q N, Lu Y. Teaching Design of Invertible Matrices[J]. Mathematics Learning and Research, 2022(31):5-7. https:\/\/kns.cnki.net\/kcms2\/article\/abstract?v=BbvBZ4vy5aQFi3dswSaSyfMZqGCfGVMZGwzEZKaUOJRalalPnNJ5A416_9hu4BuNKj_4yfCtFaaDN1vNKjBXEHozJxEbuimcxgrnhvhygHRa-DKf90w-wLql5-qCtvm-9Xg96UvMK00HHOMguq8AQgTD5hDFnmwx9IVZ0zldTEAi9Fpok0KTng==&uniplatform=NZKPT&language=CHS","journal-title":"Mathematics Learning and Research"},{"issue":"04","key":"e_1_3_3_1_17_2","first-page":"21","article-title":"Research on the Integration of Ideological and Political Elements into Linear Algebra\u2014Taking Inverse Matrix as an Example[J]","volume":"2022","author":"Zhang L L","unstructured":"Zhang L L, Zhang J J, Liu D B, et al. Research on the Integration of Ideological and Political Elements into Linear Algebra\u2014Taking Inverse Matrix as an Example[J]. Mathematics Learning and Research, 2022(04):21-23. https:\/\/kns.cnki.net\/kcms2\/article\/abstract?v=BbvBZ4vy5aS7UD8S2y2Ys1CBxwANhe2ljTlC8fgJX6QdNoXTElquqIO8krhm01TcC7NjaSLDK2jokyNZKwNqDhNDjTwHuQ9ZjcwupTk6vTWg0FlwckjH41JBf6pAVa914Aj1Cg4Kjo38C975QeSic6lspFwM7CmWYL6qj6fxs9cnhh2tw7mfJg==&uniplatform=NZKPT&language=CHS","journal-title":"Mathematics Learning and Research"},{"key":"e_1_3_3_1_18_2","first-page":"54","article-title":"\u201cGreat Ideological and Political Education","volume":"23","author":"Ma L J","year":"2024","unstructured":"Ma L J. Ideological and Political Teaching Practice of Linear Algebra under the Background of \u201cGreat Ideological and Political Education\u201d[J]. Life & Lovers, 2024,(23):54-56. https:\/\/kns.cnki.net\/kcms2\/article\/abstract?v=BbvBZ4vy5aRJFsMiuqBvWHtGgLKB9qxaF2cAQORiE8EI8s_e5AJ0RTT9qNHYz-CZIR67eh5vMWCfmfzU1FqTNWWtzBiLeN3P-ZgBrv7N9dD8Fpm6eKgCgghTY7q5f93de3skpMgSDglVu-7dBCdd4CIJTnYHl4bJ37pRQ0AteruPxUe6dtGF4Q==&uniplatform=NZKPT&language=CHS","journal-title":"[J]. Life & Lovers"},{"key":"e_1_3_3_1_19_2","doi-asserted-by":"publisher","DOI":"10.19311\/j.cnki.1672-3198.2023.07.073"},{"issue":"04","key":"e_1_3_3_1_20_2","first-page":"71","article-title":"Cultivating Morality and Nurturing People Silently\u2014A Case Study on the Implementation of Ideological and Political Education in Linear Algebra Teaching[J]","volume":"26","author":"Cong J","year":"2024","unstructured":"Cong J. Cultivating Morality and Nurturing People Silently\u2014A Case Study on the Implementation of Ideological and Political Education in Linear Algebra Teaching[J]. Journal of Liaoning Institute of Science and Technology, 2024, 26(04):71-73+104. https:\/\/kns.cnki.net\/kcms2\/article\/abstract?v=BbvBZ4vy5aSPS8O9-lpfoG8Ev3h_nhfFgColjvtuSMb9x2hi_R8kGZKDUBDGEcrN_3bvl2GU8aEivIfraeTtJaJkqiVY3JkPQPRe-r0ntX6-Vb8Ss383fh_y1A-tFpYBjOft0S1TLBjXbNVPNVkJXtvciHw8sBbLanfmVHDDMJj6kzMeJa7Icw==&uniplatform=NZKPT&language=CHS","journal-title":"Journal of Liaoning Institute of Science and Technology"},{"issue":"08","key":"e_1_3_3_1_21_2","first-page":"152","article-title":"A Brief Analysis of the Role of Invertible Matrices and the Counteraction of Their Inverse Matrices[J]","volume":"2021","author":"Meng Q Y","unstructured":"Meng Q Y, Wang Y L. A Brief Analysis of the Role of Invertible Matrices and the Counteraction of Their Inverse Matrices[J]. Mathematics Learning and Research, 2021(08):152-153. https:\/\/kns.cnki.net\/kcms2\/article\/abstract?v=BbvBZ4vy5aT6tKK-KHn9AFhvnYQkzSNkL956XqqcJb_3cO3jHKgJl1rRzLk4t6EaKAsEosY6Ox1C5FwetGgdJRYyUdt6CBvKeGKvw-IguZ1AUyxgKypojuu7Y97c2Do0mY_faEA3bekeuxy-VUVDhxmg_2BrKGCvcy-VTC5mZEJTTqQVUYotfQ==&uniplatform=NZKPT&language=CHS","journal-title":"Mathematics Learning and Research"},{"issue":"09","key":"e_1_3_3_1_22_2","first-page":"76","article-title":"Research and Practice on the Teaching of Linear Algebra Course in Undergraduate Colleges under the Background of New Engineering[J]","volume":"39","author":"Feng M","year":"2024","unstructured":"Feng M. Research and Practice on the Teaching of Linear Algebra Course in Undergraduate Colleges under the Background of New Engineering[J]. Journal of Suzhou University, 2024, 39(09):76-80. https:\/\/kns.cnki.net\/kcms2\/article\/abstract?v=BbvBZ4vy5aRr89cbSAVOtCYpJLRnyg-Yquy40wmodRZtYX-jgYrNCU33cAPb1dHiSUEAc-rIlaELSACCJwalhdP_LnYmpLSHunzkJX7G4eshoZP55leihLZGaqUfFhJNDnCTlVDxldwzgoCWA9W_qdDixZMkI7uEX5OtltVQCZ6oCWFuMV2NCA==&uniplatform=NZKPT&language=CHS","journal-title":"Journal of Suzhou University"},{"key":"e_1_3_3_1_23_2","doi-asserted-by":"publisher","DOI":"10.48550\/arXiv.2402.06648"},{"key":"e_1_3_3_1_24_2","volume-title":"The Eternal Wave [Z]. Shanghai Film Studio. https:\/\/v.qq.com\/x\/cover\/qnqcrwohxgykjvq.html","author":"Wang P.","year":"1958","unstructured":"Wang, P. (1958). The Eternal Wave [Z]. Shanghai Film Studio. https:\/\/v.qq.com\/x\/cover\/qnqcrwohxgykjvq.html"},{"key":"e_1_3_3_1_25_2","volume-title":"Linear Algebra","author":"Wu G C","year":"2017","unstructured":"Wu G C. Linear Algebra (Fifth Edition for Economics and Management)[M]. Beijing: China Renmin University Press, 2017:56-65. http:\/\/m.crup.com.cn\/Book\/TextDetail?doi=1cd3cfec-9492-4aa1-b446-95c087dfbb94&urltype=0"}],"event":{"name":"ICAIE 2025: 2025 4th International Conference on Artificial Intelligence and Education","location":"Nanjing China","acronym":"ICAIE 2025"},"container-title":["Proceedings of the 2025 4th International Conference on Artificial Intelligence and Education"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3797552.3797621","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,23]],"date-time":"2026-04-23T08:46:29Z","timestamp":1776933989000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3797552.3797621"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,11,21]]},"references-count":25,"alternative-id":["10.1145\/3797552.3797621","10.1145\/3797552"],"URL":"https:\/\/doi.org\/10.1145\/3797552.3797621","relation":{},"subject":[],"published":{"date-parts":[[2025,11,21]]},"assertion":[{"value":"2026-04-23","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}