职业综合素养取向的高职数学文化课程建设

职业综合素养取向的高职数学文化课程建设,是深化高职数学课程改革,培养学生职业综合素养的重要举措。树立高职数学文化教育观、体现高职教育的特色、优化课程教育模式、抓好教材建设、做好师资队伍建设、重视建立课程开发保障机制等是探讨高职数学文化课程建设的有效途径。     

国际数学学习测评:聚焦数学素养的发展

学生学习质量的评价已经成为当前国际教育研究和实践中的重要领域。目前,在中小学阶段,国际上不仅有PISA和TIMSS两大全球性的测评体系,还出现了美国的NAEP测验,英国的Kassel测验,日本的学力测验和法国的诊断性测验等区域性的重要测评体系。其中的数学学习测评设计都体现了一个基本特点:聚焦于学生基本素养发展。本文在研究上述六个数学测试项目的基础上,从多个角度分析了国外中小学的数学测评的基本趋势,从中探索当前国际数学教学质量监控的基本特点。了解国际数学学习测评的基本趋势,对于我国当前正在进行的教育质量监控体系的构建具有一定的参考价值。     

论数学教育实践活动课程教学设计理念

高师数学教育实践活动课程存在诸多弊端：课程性质和设置目的普遍认识不足,课程地位不明,课程内容体系不强,课程管理与课程监控不强,与理论课程存在脱节等。为此,必须更新课程设计理念,注意逐步聚焦、整体设计,重视教学设计等环节,要在现场观察中培养兴趣。     

Revealing future research capacity from an analysis of a national database of discipline-coded Australian PhD thesis records

This article reports how statistical analyses of PhD thesis records can reveal future research capacities for disciplines beyond their primary fields. The previous research showed that most theses contributed to and/or used methodologies from more than one discipline. In Australia, there was a concern for declining mathematical teaching and research capacity. We decided to investigate the ‘hidden’ mathematics research capacity in PhDs outside of mathematics. Australian PhD records were re-coded with up to three fields. Records with mathematics as one of their codes were selected and analysed for their relationships to disciplines in their other codes. Triple-coding revealed ‘hidden’ mathematical research capacity that had previously been single-coded in another field had mathematics as one of their subsequent fields. Our findings have implications for policy and planning for mathematics in Australia, and multiple coding of PhD theses records enables analyses for other disciplines to be undertaken to show their research capacities.     

Structuring Dialogue with Students via Learning Tasks

We discuss a teaching approach that we believe promotes deep learning and diminishes the powerful voice of the teacher, thereby allowing students and the teacher to reason actively and inquire together in the classroom. This teaching approach is based on an integration of the concepts of dialogue and of mediation and utilizes learning tasks to structure dialogue with students during classroom meetings and outside the classroom, when students work independently. Students' experiences of this approach within the two courses reported on in the article were generally positive.     

半挂车轴荷分配优化设计

结合实际设计工作，总结出半挂车轴荷分配的一种优化设计方法，并建立起相应的数学模型。     

《常微分方程》教学中探究式教学法初探

从建立微分方程模型,数学问题新解法,数学问题变式,数学一般性规律等方面尝试着进行了探究式教学。     

数学美的本质

数学家庞加勒曾把数学美的内容和基本特征概括为统一性、简洁性、对称性、协调性和奇异性.徐利治教授认为这一概括十分精辟,也为大多数数学家所承认.数学美的概念与其它的事物一样,也是随着社会的发展而发展.数学美是现实美的反映,它是现实肯定实践的一种自由形式.     

数学建模思想融入大学数学教学内容的认识与实践

将数学建模思想融入大学数学教学内容之中，能够有效地培养大学生运用数学知识解决实际问题的能力.本文探讨了将数学建模思想融入大学数学教学内容之中应遵循的目标和原则，并介绍了作者的改革实践，以期为高等院校大学数学的教学改革提供参考.     

随机变量的函数的数学期望

由“曲线分布密度”的公式φq(y)=∑kφξ(xk)|g‘k(y)|和“曲面分布密度”的公式φξ(z)=∫czφ(g(y,z),y)|g‘z(y,z)|dy，对有函数关系的随机变量η=f（ξ）及ξ=f(ξ，η)的数学期望公式E（η）=∫φ(x)f(x)dx和E（ξ）=∫∫f(x,y)φ(x,y)dxdy给出证明，并给出了若干应用。