What Is a Fraction? Developing Fraction Understanding in Prospective Elementary Teachers

Classroom teachers need a well‐developed deep understanding of fractions and pedagogic practices so they can provide meaningful experiences for students to explore and construct ideas about fractions. This study sought to examine prospective elementary teachers' understandings of fraction by focusing specifically on their use of fractions meanings and interpretations. Results indicated that prospective elementary teachers bring with them to their final methods course a limited understanding of fractions and that experiences in methods courses resulted only in minor improvement of those limited understandings. The limited part‐whole understanding of fractions that prospective elementary teachers entered the course with was resilient. The implications of this study suggest a need for prospective elementary teachers to continue to develop their conceptual understanding of fractions and for changes to the content and instructional strategies of mathematics content courses designed for prospective elementary teachers.     

Assessing the Ability of an Online Environment to Facilitate the Critical Features of Teacher Professional Development

Providing teachers effective professional development (PD) is an ongoing challenge in the field of education. Emergence of technological innovations in the form of computer‐based asynchronous and synchronous communication has provided new opportunities to improve and expand teacher PD opportunities beyond the physical walls of a school. The purpose of this meta‐analysis is to examine the ability of online learning environments to facilitate the critical features of teacher PD identified in Desimone (2009) as content focus, active learning, coherence, duration, and collective participation. Analysis of the 20 empirical studies sought to reveal the purpose of the study, methodologies utilized, and major findings. Multiple studies indicated the ability of an online environment to engage teachers in active learning, collective participation, and content‐focused learning activities. Additionally, the results of this meta‐analysis revealed a lack of empirical studies that have examined the ability of online teacher PD to support the critical features of coherence and duration. Findings of this research have implications for a future research agenda and policy considerations related to online teacher PD initiatives.     

Beliefs,Practical Knowledge,and Context: A Longitudinal Study of a Beginning Biology Teacher's 5E Unit

The purpose of this three‐year case study was to understand how a beginning biology teacher (Alice) designed and taught a 5E unit on natural selection, how the unit changed when she took a position in a different school district, and why the changes occurred. We examined Alice's developing beliefs about science teaching and learning, practical knowledge, and perceptions of school context in relation to the 5E unit. Data sources consisted of interviews, classroom observations, and lesson materials. We found that Alice placed more emphasis on the explore phase, less emphasis on the engage and explain phases, and removed the elaborate phase over time. Alice's beliefs about science teaching and learning acted as a filter for making sense of practical knowledge and perceptions of context. Although her beliefs were student centered, they aligned with discovery learning in which little intervention from the teacher is required. We discuss how her beliefs, practical knowledge, and perceptions of context explained the changes in her practice. This study sheds insight into the nature of beliefs and how they relate to the 5E lesson phases, as well as the different lenses for viewing the 5E instructional model. Implications for science teacher preparation and induction programs are discussed.     

H2S键合金属(II)咪唑卟啉配合物的结构、光谱和反应活性

选取8个典型的二价金属咪唑卟啉MP(M=Ca, Mg, Zn, Cu, Ni, Fe, Co, Mn; P代表咪唑卟啉)与H₂S(L)形成轴向金属配合物(L-MP; L-MP^*-L, P^*代表卟啉), 应用轨道和自旋概念密度泛函工具, 在优化构型的基础上, 通过自然键轨道(NBO)方法和前线轨道能级研究了它们的分子结构、光谱性质和反应活性. 模拟结果揭示L-MP和L-MP^*-L结构、光谱及其反应活性不同于其前体MP. MP排斥钙而选择镁; L对MP的结构影响较少, 与咪唑铁卟啉(FeP)能形成最稳定的单轴配合物(L-FeP), 其电子吸收光谱较前体FeP有显著的变化; 铁的亲核Fukui轨道指数值(f_Fe⁺)大于其他原子的Fukui指数, 且发生符号改变. 铁体系的自旋极化Fukui密度图也支持以上结论. 在这些典型的赤道键合配合物中, 金属M与N(S)原子之间的二级微扰相互作用能、自然电荷以及概念密度泛函指数等存在一系列线性关系. 以上结果可为理解内源性H₂S与血管性物质的相互作用机理提供启示.     

企业协同知识创新的风险识别与评价

协同知识创新是企业降低创新成本,提高创新能力的重要手段.由于企业知识创新具有高度的不确定性和不可预测性,因此,有效地利用企业协同优势,有针对性地降低协同知识创新的风险,是协同知识创新活动得以顺利开展的重要条件.影响协同知识创新的内外因素有很多,利用粗糙集理论对这些因素进行简约,消除冗余因素,得到在协同知识创新中的核心因素;确定约简集因素权重,判断协同知识创新的风险程度,为协同知识创新的决策提供依据.     

知识型员工行为能力的构成要素与评价研究

行为能力对于解释员工绩效具有重要意义.本文以知识型员工为研究对象,通过规范的实证研究获得了知识型员工行为能力的构成要素,以此为基础构建了知识型员工行为能力的评价指标体系.根据指标模糊性的特点,将三角模糊数理论与FAHP的融合,提出了一种基于三角模糊数的FAHP评价方法.以DR公司招聘某岗位的知识型员工为实例,说明了本文提出的方法在知识型员工行为能力评价中的适用性.     

An in-service primary teacher’s implementation of mathematical tasks: the case of length measurement and perimeter instruction

The purpose of this paper is to examine the cognitive demand levels of tasks used by an in-service primary teacher during length measurement and perimeter instruction and to examine a possible link between these tasks and the teacher’s mathematical knowledge in teaching. For this purpose, a case study approach was used and the data was drawn from classroom observations, semi-structured interviews, and field notes. Specific tasks from length measurement and perimeter instruction were presented and analyzed according to the Mathematical Tasks Framework. Then, how these tasks gave information about the teacher’s mathematical knowledge in teaching in the length measurement and perimeter topics was examined according to the Knowledge Quartet model. According to the findings of the study, the tasks used during length measurement and perimeter instruction were mostly categorized as low-level tasks. In addition, teacher’s mathematical knowledge in teaching affected the implementation of the tasks.     

中国区域间技术创新的空间溢出效应研究

本文结合新经济地理学K关联的思想构造了外部技术创新溢出指数模型,在此基础上运用2006~2014年中国30个省级行政区的面板数据对中国区域间技术创新空间溢出效应进行了实证研究,结果表明:(1)全国技术创新溢出效应主要是东部地区带动的,东部地区的省份对东部、中部和西部地区其他省份存在技术创新溢出效应,而中部和西部并没有对其他地区技术创新产生溢出效应,并且中部地区和西部地区内部各省之间存在竞争效应。(2)无论是全国还是东部、中部和西部地区,R&D经费、R&D人员和知识存量均对技术创新产生正向作用,并且这些地区的技术创新产出均处于规模报酬递减阶段,不同的是,全国、东部和中部地区R&D人员对技术创新的贡献比R&D资本要大,而西部地区R&D资本对技术创新的贡献则要大于R&D人员。     

房地产业上市公司的统计数据挖掘分析研究

应用统计类数据挖掘技术对房地产业上市公司财务进行了分析。即搜集十五个房地产业上市公司的主要财务指标进行因子分析,用提取主成份的方法缩减变数,归纳出影响公司财务状况的四个主要因素。然后,对十五家房地产上市公司进行聚类分析,划分各公司的经营等级。最后,结合因子分析与聚类分析的结果对各公司的经营状况进行了综合评价,并以此指导投资者和经营管理者做出正确的决策。     

Generalized Rule Induction Based on Immune Algorithm

A generalized rule induction mechanism, immune algorithm, for knowledge bases is building an inheritance hierarchy of classes based on the content of their knowledge objects. This hierarchy facilitates group-related processing tasks such as answering set queries, discriminating between objects, finding similarities among objects, etc. Building this hierarchy is a difficult task for knowledge engineers. Conceptual induction may be used to automate or assist engineers in the creation of such a classification structure. This paper introduces a new conceptual rule induction method, which addresses the problem of clustering large amounts of structured objects. The conditions under which the method is applicable are discussed.