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["doi"] => string(24) "10.12721/ccn.2021.157072"
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["name"] => string(48) "探索高中数学建模教学的多元化路径"
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["soziding2"] => string(39) "高中数学；建模教学；多元化"
["soziding3"] => string(54) "广东省汕尾市海丰县陆安高级中学，516400"
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["soziding5"] => string(21) "建模与系统仿真"
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["jieshao"] => string(6947) "<p>在高中教育阶段，数学学科正朝着更加多元化与实践化的方向发展，其中数学建模活动成为了这一趋势的重要载体。通过数学建模，学生们不再局限于书本上的公式与定理，而是将抽象的数学知识与现实生活、科学探索、技术创新等多个领域紧密相连。这一过程鼓励学生跳出传统框架，运用多元化的思维方式去分析问题、设计解决方案，并在实践中不断优化与调整。数学建模不仅促进了学生数学素养的全面提升，还激发了他们对其他学科领域的兴趣与好奇心。这种教育模式的变革，正引领着高中数学教育进入一个更加开放、包容与创新的新时代。</p><p>一、高中数学建模教学的现状分析</p><p>当前，高中数学课程中数学建模的融入尚显不足，内容零散且分布不均，影响了学生在此领域的系统学习和连贯成长。该领域的挑战性及其与高考的非直接关联，减弱了学生对数学建模的兴趣与投入。此外，资源匮乏也是一大瓶颈，众多高中缺乏必要的软硬件设施，如先进的计算工具与专业的建模软件，这极大地限制了学生在实践中的探索与创新能力。因此，加强高中数学建模教育的系统性建设，提升学生的学习兴趣，并加大资源投入，成为推动数学教育现代化、培养学生综合能力的紧迫任务。需通过多元策略，如课程优化、师资培训、资源引进等，共同破解这一难题。</p><p>二、高中数学建模教学的重要性</p><p>数学建模，作为一项极具创新性的活动，鼓励学生将所学知识灵活应用于解决现实难题之中。此过程不仅激发学生的想象力与创造力，更在无形中锻造了他们的创新能力。它本质上是一种实践探索，促使学生跨越理论与实际的鸿沟，运用数学工具解析复杂问题，从而强化了实践技能与问题解决能力。此外，数学建模的跨学科魅力独特，引领学生跨越知识边界，融合多领域智慧，汲取广泛的知识营养。在这一过程中，学生不仅深化了对数学的理解，还拓宽了视野，增强了综合运用知识的能力。</p><p>三、高中数学建模教学的多元化实践路径</p><p>（一）优化课程设置</p><p>在高中数学教育的广阔舞台上，适时且适量地融入数学建模元素，旨在构建一个更加立体、全面的知识体系。这一举措不仅要求将数学建模作为独立模块精心设计，更强调其与代数、几何、统计等传统数学领域的深度融合。通过精心编排的课程内容，学生能在学习基础数学知识的同时，逐步接触并理解数学建模的思想与方法，从而在脑海中构建起一个既扎实又灵活的知识网络。</p><p>在《空间向量与立体几何》的课堂上，教师可以巧妙地将数学建模的理念融入教学之中，为学生开启一扇探索三维世界的新窗。通过引导学生观察实际生活中的立体结构，如桥梁、建筑等，鼓励他们运用空间向量工具进行抽象建模，将复杂的立体形态转化为可计算的数学模型。这一过程不仅加深了学生对空间向量概念的理解，还极大地激发了他们的空间想象与建模能力。同时，通过小组讨论、案例分析等互动环节，学生能在实践中学习如何运用数学语言描述空间关系，进一步提升其数学素养与问题解决能力。</p><p>（二）激发学生动力</p><p>为了激发学生对数学建模的浓厚兴趣，教师可采用多样化的教学策略，如引入贴近学生生活的案例，让抽象的数学模型变得生动具体。通过组织趣味性的建模竞赛或项目，让学生在实践中体验数学建模的魅力，从而培养其持久的兴趣与热情。同时，积极倡导“学以致用”的理念，鼓励学生将数学建模的技巧与方法灵活应用于日常生活与学习的方方面面。</p><p>例如，学校精心策划并举办校园数学建模大赛，构建一个从基础启蒙到高阶挑战的多元化竞赛体系。大赛不仅设置了适合初学者的基础级别，让学生们在轻松愉快的氛围中迈出数学建模的第一步；还设有挑战性十足的高水平级别，鼓励那些已具备一定建模能力的学生深入探索，勇攀高峰。通过这样分层次的竞赛设置，每位学生都能找到适合自己的舞台，充分展现自我，同时也能在与同伴的切磋交流中不断进步。此外，大赛还注重过程评价，鼓励学生享受建模的乐趣，培养持续学习的动力。</p><p>（三）加强实践资源建设</p><p>为了确保数学建模教育的高质量实施，学校应不遗余力地加大对数学建模实践资源的投入力度。这包括但不限于引进先进的数学建模软件与平台，为学生提供便捷高效的建模工具；建立专门的数学建模实验室或工作坊，配备齐全的硬件设施，营造浓厚的学术氛围；同时，积极寻求与业界、科研机构的合作机会，为学生搭建实习实训桥梁，让他们有机会参与到真实的数学建模项目中，亲身体验建模的全过程。</p><p>在校园内规划并建设专门的数字建模教室，是学校对数学建模教育高度重视的具体体现。这间教室将被打造成集教学、实践、研讨于一体的多功能空间，配备有高性能计算机、专业建模软件、交互式电子白板等现代化教学设备，确保学生能够在最先进的环境中进行数学建模的实践操作。教室布局注重灵活性与互动性，便于学生分组讨论、协作完成项目，同时也为教师进行个性化指导提供了良好的条件。此外，数字建模教室还将定期举办专题讲座、工作坊和分享会，邀请业界专家、优秀校友与学生面对面交流，分享建模经验，激发学生的创新思维与探索精神。</p><p>四、结语</p><p>深化高中数学建模教育的多元化探索，是培育学生综合素养与实践能力的关键一环。此举旨在塑造具备创新思维与问题解决能力的未来人才，为我国社会发展注入新动力。教育部门和学校应将其视为教育改革的重要方向，通过构建多元化课程体系、强化师资力量培训、搭建校企合作桥梁等举措，全方位推动高中数学建模教育的发展。同时，鼓励跨学科融合，让学生在解决复杂问题的过程中，综合运用多学科知识，培养综合素养。</p><p>参考文献：</p><p>[1] 张丽娇. 高中阶段学生数学建模素养的现状与路径探索[J]. 甘肃教育研究，2023（6）：106-108.</p><p>[2] 陈夏明. 基于多类型课程融合的数学建模素养培育框架研究[J]. 创新人才教育，2020，12（4）：51-56.</p>"
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官方公众号
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