《微分方程数值解》课程教学改革与实践

针对一般本科院校的教学实际,研讨《微分方程数值解》课程教学改革的一些体会,主要包括教学定位的确定、课程教学内容的优化、教学方法的改革以及教学手段的更新等问题.     

Repeated Downsian electoral competition

We analyze an infinitely repeated version of the Downsian model of elections. The folk theorem suggests that a wide range of policy paths can be supported by subgame perfect equilibria when parties and voters are sufficiently patient. We go beyond this result by imposing several suitable refinements and by giving separate weak conditions on the patience of voters and the patience of parties under which every policy path can be supported. On the other hand, we show that only majority undominated policy paths can be supported in equilibrium for arbitrarily low voter discount factors: if the core is empty, the generic case in multiple dimensions, then voter impatience leads us back to the problem of non-existence of equilibrium. We extend this result to give conditions under which core equivalence holds for a non-trivial range of voter and party discount factors, providing a game-theoretic version of the Median Voter Theorem in a model of repeated Downsian elections. J. Duggan was supported by the National Science Foundation, grant number 0213738, is gratefully acknowledged.     

Examining preservice teachers’ noticing of equity-based teaching practices to empower students engaging in productive struggle

Our study examined ways preservice teachers (PSTs) make connections between teaching practices and use of student resources that support productive struggle and promote equity. Our research questions are: (1) How do PSTs notice and describe the equity-based mathematics teaching practice of leveraging student resources to support student struggles? and (2) In what ways do PSTs make connections to and interpret the role student resources play in the resolution of students’ mathematical struggles? The qualitative study examined 39 PSTs in a mathematics content course for PSTs. Data come from a video analysis assignment where PSTs described their mathematical interpretations of the student struggle(s) and teacher’s use of student resources to support the struggle resolution. Findings show that PSTs noticed teacher moves that leveraged student’s mathematical thinking and linguistic funds of knowledge and based the productive level of the struggle on actions built upon peers, linguistic knowledge and prior mathematical knowledge.     

断陷盆地层滑带的发育特征及矿山开发条件下的再变形分析

层滑带在华北断陷盆地中具有普遍性,是影响地下矿山工程围岩稳定的重要因素之一。本文以鲁西矿区为例,阐述了断陷盆地层滑带的发育特征及其形成机制,进行了开挖、运营条件下层滑带再变形分析,并指出了层滑带发育区巷道设计及维护中应注意的某些问题。     

Field-based hypotheses on advancing standards for mathematical practice

The Common Core State Standards in Mathematics (CCSSM, 2010) are organized around two types of standards: the standards for mathematical content and standards for mathematical practice. The central goal of this paper is to present cognitive and instructional analyses of standards for mathematical practice through a discussion of field-based activities with inservice secondary mathematics teachers and students. A potential value of the study is that it provides researchers with specific field-based hypotheses on advancing standards for mathematical practice.     

高分子材料与工程专业实践教学改革研究与探索

实践教学是培养大学生创新精神、创新能力和实践能力的最重要教学环节。本文阐述了高分子材料与工程专业实践教学的现状和存在的问题,总结了实验教学、生产实习、毕业设计这三大实践教学环节在人才培养过程中的重要作用。针对实践教学存在的问题和不足,我们着力构建新的培养模式和实践教学环境,增加研究性、探索性实践教学内容比例等,为培养具...     

谈数控机床实习教学的几点体会

作为现代制造技术的数控机床加工，正越来越广泛地被应用到国民经济的各个方面。本文结合作者多年从事数控机床实践教学工作经验，介绍了在数控机床实习教学中的一些具体做法和体会。     

将数学建模思想融入工科“概率统计”教学中

提出‘概率统计”课程的一种教学改革思路,注重理论联系实际,强调应用案例中融入数学建模思想的新的教学法.改革课堂教学方法,探索新的教学模式.加强学生的实践性教学环节,培养学生的应用能力和创新能力.     

Markov games with incomplete information

We consider zero-sum Markov games with incomplete information. Here, the second player is never informed about the current state of the underlying Markov chain. The existence of a value and of optimal strategies for both players is shown. In particular, we present finite algorithms for computing optimal strategies for the informed and uninformed player. The algorithms are based on linear programming results.     

Social norms and choice: a weak folk theorem for repeated matching games

A folk theorem which holds for all repeated matching games is established. The folk theorem holds any time the stage game payoffs of any two players are not affinely equivalent. The result is independent of population size and matching rule—including rules that depend on players choices or the history of play.