Using Variables in School Mathematics: Do School Mathematics Curricula Provide Support for Teachers?

This study employed content analysis to examine 3 popular middle-grades mathematics curricula in the USA on the support they provide for teachers to implement concepts associated with variables in school mathematics. The results indicate that each of the 3 curricula provides some type of support for teachers, but in a varied amount and quality. More specifically, whereas the University of Chicago School Mathematics Project (UCSMP) curriculum provides support for teachers on several aspects of using variables in school mathematics, the support found in the Connected Mathematics 2 and the Math Connects curricula focused mainly on one conception of variables—namely, the use of variables as quantity that varies in the Connected Mathematics 2 curriculum and the use of variables as specific unknowns in the Math Connects curriculum. Overall, the UCSMP curriculum provides the most support for teachers, followed by the Connected Mathematics 2 curriculum, with the Math Connects curriculum recording the least support for teachers to enact variable concepts. It is worth pointing out that, although the 3 curricula collectively provide guidance for teachers to implement variable ideas within meaningful real-world contexts, the supports identified in the respective curriculum were not sufficient in addressing all of the areas that are essential for teaching the many concepts associated with variables in school mathematics effectively. Recommendations for curriculum developers and for international researchers with interest in the roles of variables in school mathematics are provided.     

Teacher–child interaction in Chinese kindergartens: an observational analysis

The goals of this research were to describe the daily life of children and teachers in Chinese kindergarten programmes, to better understand how teacher–child interactions affect both teachers and children. The main assumption guiding this research was that teacher–child interaction is one of the most important processes in early childhood education. A clear understanding of typical teacher–child interactions may help to improve teachers’ support of children’s learning and development. In‐depth field observations of 12 Chinese teachers in six classrooms were conducted using a participant‐observer approach. Five hundred and eighty‐nine teacher–child interaction cases were observed and described. An inductive content analysis of the cases resulted in the creation of nine functional categories for teacher‐initiated interactive behaviours and nine functional categories for child‐initiated interactive behaviours. In this paper, we describe these functional interaction categories and report on their relative frequency in the Chinese kindergarten classrooms involved in this study. Teacher and child interactive behaviours are complementary, depending on the shared meaning of the interaction. Some differences were found in the interactive behaviours of older and younger children with their teachers. We discuss the results in the cultural context of China and conclude that careful and systematic observation and analysis of early childhood classroom interaction is essential for better understanding and improvement of teaching practices.     

Core competencies and high leverage practices of the beginning teacher: a synthesis of the literature

Teacher competency frameworks comprise a number of competencies that enable a teacher to develop effective teaching practices. However, their conception, value, use and recognition vary widely. Equally, assessment and measurement of such competencies differ across contexts. More recently, a body of research has emerged which focuses the lens of teacher preparation on the inclusion of high leverage practices. The focus of this study is to report a synthesis of the literature pertaining to the ‘core competencies’ and ‘high leverage practices’ selected for inclusion in teacher preparation. A systematic review of the literature was conducted in order to synthesis available evidence. Results are presented in two sections; competency-based approaches; and high leverage practice approaches in teacher preparation. Findings are discussed from the perspective of epistemological and methodological questions emerging from the research and the implications for teacher preparation.     

The unintended consequences of school inspection: the prevalence of inspection side-effects in Austria,the Czech Republic,England, Ireland,the Netherlands,Sweden, and Switzerland

It has been widely documented that accountability systems, including school inspections, bring with them unintended side effects. These unintended effects are often negative and have the potential to undo the intended positive effects. However the empirical evidence is limited. Through a European comparative study we have had the rare opportunity to collect empirical evidence and study the effects (both intended and unintended) of school inspections (a key system of accountability) in a systematic way, across seven countries. We present the findings of the unintended effects in this paper. Survey self-report responses from school principals in each country, with differing school inspection systems, are analysed to measure the prevalence of these unintended effects and to investigate the part played by pressure to do well in inspections. A key finding is that increasing pressure in school inspection systems is associated with the undesired effect of the narrowing and refocusing of the curriculum and instructional strategies. We also show that a proportion of school principals admit to misrepresenting the school in data sent to the inspectorate and show evidence for formalisation/proceduralisation (excessive focus on records) and ossification (fear of experimentation in teaching), although these factors are less related to changes in pressure.     

Social IEP Objectives, Teacher Talk, and Peer Interaction in Inclusive and Segregated Preschool Settings

The purpose of this study was to examine: (a) the role of teacher talk in promoting peer interaction, (b) the adequacy of social IEP objectives to reflect children’s social functioning and guide provision of teacher talk, and (c) differences in children’s peer interaction and teacher talk in inclusive and segregated settings. Thirty children with disabilities and their teachers participated. Overall, we observed low rates of teacher talk thought to support peer interaction; however, when teachers verbally facilitated peer interaction, children were observed interacting more frequently with peers. Children’s social IEPs accurately reflected their current level of social functioning. However, the social IEPs appeared to fail to influence teacher intervention. Finally, children with disabilities in inclusive settings interacted with peers more than children in segregated settings, even though there was no significant difference in amount of teacher talk in the two settings.     

The Relationship Between Undergraduate Attendance and Performance Revisited: Alignment of Student and Instructor Goals

We revisit the relationship between attendance and performance in the undergraduate university setting and apply agency theory in the instructor–student context. Building on agency theory propositions in the educational setting advanced by Smith, Zsidisin, and Adams (2005) , we propose that the student and instructor must align goals to promote the student's achievement of performance learning outcomes, and attendance functions as a behavior‐based alignment mechanism to encourage the convergence of faculty and student interests. Further, we propose that attendance does not equally affect lower‐ and higher‐performing students and that absences are also negatively related to students' cumulative grade point average. We test these hypotheses with data from undergraduates enrolled in management courses at a state university in the southeast. Our results show that attendance is positively related to exam performance, there are more pronounced negative effects of an absence for lower‐performing students than for higher performers, and absences are negatively related to a student's cumulative grade point average. We discuss the implications of our findings for students, instructors, and universities as well as practice in teaching and learning.     

Two components of responding in Pavlovian lick suppression

The present research examined the temporal distribution of responding in a lick suppression paradigm. In Experiment 1, rats were trained with either a 30- or a 120-s conditioned stimulus (CS), which was followed either by a footshock (unconditioned stimulus [US]) or nothing. Licking during the CS was suppressed only in the former condition. Suppression was more pronounced early in the CS. In Experiment 2, rats were exposed to two 30-s or two 120-s CSs, with delivery of the shock being contingent on CS1 for half of the animals and on CS2 for the other half. For both the paired and the unpaired conditions, suppression at the beginning of CS1 was observed for all the groups. By discounting the possibility of generalization between CS1 and CS2, it appears that this initial suppression was not a conditioned response to the CS, but an unconditioned one due to mere exposure to the shock US.     

Some determinants of second-order conditioning

In a Pavlovian conditioning situation, an initially neutral stimulus may be made excitatory by nonreinforced presentations in compound with an established conditioned excitor [i.e., second-order conditioning (SOC)]. The established excitor may be either a punctate cue or the training context. In four conditioned suppression experiments using rats, we investigated whether SOC phenomena parallel other cue interaction effects. In Experiment 1, we found that the response potential of a target stimulus was directly related to the intertrial interval when SOC was mediated by a punctate cue, and inversely related to the intertrial interval when SOC was mediated by the training context. Experiment 2 demonstrated that punctate- and context-mediated SOC are oppositely affected by posttraining context extinction, and Experiments 3 and 4 demonstrated that context- and punctate-mediated SOC are differentially affected by conditioned stimulus (Experiment 3) and unconditioned stimulus (Experiment 4) preexposure treatments. These findings parallel phenomena in conditioned inhibition and cue competition situations.     

Gender Adeptness Among Educational Administrators for Leading Innovative Initiatives in Public Education

It may be concluded that female administrators are perceived as being more adept than their male counterparts for leading innovation in schools and leveraging resources into productive outputs. It may be concluded that both genders of administrators perceive such efforts similarly. The only two skills where gender is significant are the two eornpetencies identified as being alert for new opportunities and synthesizing ideas into focused projects. For the other eight skills indicated in the survey, gender did not play a significant role in such perceptions.     

高职园林工程技术专业“园林树木学’’课程改革初探

为适应城市建设和房地产行业的迅猛发展,作为园林工程技术专业（园林规划设计方向）的核心课程《园林树木学》的课程教学必须进行迅速而深刻的改革,应结合国内园林专业学生就业形势以及高职教育的本身特点,改革教学内容、更新教学方法,建立适应市场需要的人才培养新模式,采用多元化考核评定方式,以培养有人才市场、有竞争优势、服务于园林建设行业的专业人才。