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.     

On Producing Multiple Solutions Using Repeated Trials

The number of trials that is required by an algorithm to produce a given fraction of the problem solutions with a specified level of confidence is analyzed. The analysis indicates that the number of trials required to find a large fraction of the solutions rapidly decreases as the number of solutions obtained on each trial by an algorithm increases. In applications where multiple solutions are sought, this decrease in the number of trials could potentially offset the additional computational cost of algorithms that produce multiple solutions on a single trial. The analysis framework presented is used to compare the efficiency of a homotopy algorithm to that of a Newton method by measuring both the number of trials and the number of calculations required to obtain a specified fraction of the solutions.     

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.     

硫酸镁的临床新用途

镁是人体必需元素之一。镁参与生命活动的所有重要方面,是细胞新陈代谢中各种酶系统的重要活化剂。硫酸镁为泻药和利胆药,近年来发现其具有治疗肺炎、肺心病、冠心病、高血压、胃十二指肠溃疡、急性腹泻、急性肾炎、偏头痛、破伤风和婴儿手足搐搦症等新用途。常用２５％硫酸镁１０～４０ｍＬ,用５％葡萄糖注射液稀释成１％浓度缓慢静滴。     

制药工程专业化学课程改革的探索与实践

化学课程是制药工程专业的必修课程,教学中存在部分理论内容交叉重叠、实验课程相互独立、内容多学时少、教学模式与教学评价体系陈旧等问题。介绍了临沂大学制药工程专业在化学课程改革方面的一些探索与实践,包括对理论课程体系和实验课程体系进行整合和优化、开设化学综合性实验和创新性实验、改进教学方法和进行创新课堂建设、推进化学课程考试和考核改革等,以期为制药工程专业化学课程教学改革提供一些思路和借鉴。     

高师化学微格教学二级指导模式的构建与实施

依据实践共同体和情境学习理论,构建了由研究生辅助指导的高师化学微格教学二级指导模式,并提出了相应的教学策略。研究生担任微格训练组组长,在导师指导下具体负责本科生平时的备课和教学训练。实践研究结果表明,该模式解决了普遍存在的微格训练课时少、师资不足、资源不足等问题,提高了本科生的教学设计能力和课堂教学技能。     

独立学院化工制药专业提高毕业设计质量的研究

介绍了独立学院化工制药专业在转型发展的过程中不断探索提高毕业设计质量的方法,涉及人才培养计划、教学环节、生产实践环节、教师队伍建设、设计指导环节、竞赛创新、课外网络平台建设等方面,有力地推动了工程实践教学的改革。     

课例论文中存在的问题及提升质量的写作框架和内容要求

针对一线教师的课例研究成果难以分享和传播的困境,分析了当前课例论文写作中存在的问题:缺乏教学目标、重教学设计而轻教学实践、教学反思不足、文献查阅不够、教学理论与教学实践脱节等。提出了提升课例论文质量的写作框架和内容要求,其容易被一线教师接受,注重继承性和发展性,强调教学实践数据的呈现,强调可复制性和可操作性。     

结合PBL的思维导图法在大学化学“四大平衡”教学中的应用

以化学反应"四大平衡"的主体内容:酸碱电离平衡、配位平衡、沉淀平衡和氧化还原平衡为例,介绍结合问题导向学习的思维导图法在大学化学教学实践中的应用。     

基于蓝墨云班课的“物理化学实验”微课设计与应用*

为解决物理化学实验教学中存在的问题,以蓝墨云班课为教学平台,利用微课资源,采用翻转课堂和传统教学有机结合的教学方式,进行教学改革,详细介绍了物理化学实验微课的设计、应用及效果分析。教学实践表明,教改后的教学模式有效激发了学生的学习积极性,提升了教学效率和效果。