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.     

Teachers’ technology adoption and practices: lessons learned from the IWB phenomenon

The twenty-first century has seen unprecedented investment from governments around the world in educational technologies in schools. This paper investigates Australian teachers’ adoption and use of a popular technology that has been extensively supported by governments and school systems: the interactive whiteboard (IWB). The study suggests that a number of the barriers identified in the early days of adoption and use of this technology, such as professional support and access, still remain for many teachers, thereby impeding effective practices. The research also found that primary school teachers were using the technology in diverse ways, in contrast to secondary teachers who were using the IWB mainly for instructionist, presentational purposes. We conclude by considering various ways of reducing the effect of the identified barriers to support implementation of educational technologies in the classroom, especially the next generation of technologies promoted by governments and systems.     

The Challenges Facing Early Childhood Care,Development and Education (ECCDE) in an Era of Universal Basic Education in Nigeria

Early childhood is a critical period of rapid physical, cognitive, and psycho-social development of a child. The quality of care and education which a child receives at this crucial age will determine to a great extent the level of his/her physical and cognitive development in the future. In Nigeria, Early Childhood Care, Development and Education (ECCDE) is an aspect of Universal Basic Education which was introduced in 1999 to increase the access of children to basic education and improve the state of education in the country. While all hands are on deck to ensure successful implementation and achievement of the objectives of the scheme, it is unfortunate that ECCDE is facing some challenges thus making it unrecognized in Nigeria. This paper examines the challenges of early childhood education in Nigeria. To improve the situation, the following measures are recommended: establishment of more public crèche, kindergarten, and nursery schools by the government; enforcement of the use of mother tongue in the teaching of children; training more personnel in the field of early childhood education in tertiary institutions; and introducing unified curriculum as well as providing more infrastructures.     

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.     

Students’ perceptions of classroom instructional environments in the context of ‘Universal Design for Learning’

Using a sample of 867 students in Grades 5–12, the present study investigated whether students’ perceptions toward the instructional environment in classrooms that employed Universal Design for Learning differed by school grade level and teacher gender. High-school students in the study showed higher perception scores than upper-elementary or middle-school students in the personalisation and participation aspect of the classroom environment. The results for teacher gender indicated that students in the study perceived a more personalised classroom environment with female teachers than with male teachers. Policy implications and methodological considerations are provided for future study.     

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.