Integrating concrete and virtual materials in an elementary mathematics classroom : a case study of success with fractions

This paper describes an approach to introducing fraction concepts using generic software tools such as Microsoft Office's PowerPoint to create "virtual" materials for mathematics teaching and learning. This approach replicates existing concrete materials and integrates virtual materials with current non-computer methods of teaching primary students about fractions. The paper reports a case study of a 12-year-old student, Frank, who had an extremely limited understanding of fractions. Frank also lacked motivation for learning mathematics in general and interacted with his peers in a negative way during mathematics lessons. In just one classroom session involving the seamless integration of off-computer and on-computer activities, Frank acquired a basic understanding of simple common equivalent fractions. Further, he was observed as the session progressed to be an enthusiastic learner who offered to share his learning with his peers. The study's "virtual replication" approach for fractions involves the manipulation of concrete materials (folding paper regions) alongside the manipulation of their virtual equivalent (shading screen regions). As researchers have pointed out, the emergence of new technologies does not mean old technologies become redundant. Learning technologies have not replaced print and oral language or basic mathematical understanding. Instead, they are modifying, reshaping, and blending the ways in which humankind speaks, reads, writes, and works mathematically. Constructivist theories of learning and teaching argue that mathematics understanding is developed from concrete to pictorial to abstract and that, ultimately, mathematics learning and teaching is about refinement and expression of ideas and concepts. Therefore, by seamlessly integrating the use of concrete materials and virtual materials generated by computer software applications, an opportunity arises to enhance the teaching and learning value of both materials.

Gender differences in children's classroom behaviour and teacher-child relationships in early childhood: An Australian Study

Background: In the early school years, children need positive attitudes to school and experiences that promote academic and social competence. Positive relationships between children and teachers make a significant contribution to school achievement and social competence. Girls are more likely to display positive classroom behaviours and positive approaches to learning than boys. Gender differences have also been noted in teacher-child relationships. This study investigated the relationship between gender differences in classroom behaviour and gender differences in teacher-child relationships in the early years. Method: Data were drawn from The Longitudinal Study of Australian Children (LSAC). LSAC is a cross-sequential cohort study funded by the Australian Government. In these analyses, Wave 1 (2004) and Wave 2 (2006) data for 4464 children in the Kindergarten Cohort were used. Children, at Wave 2, were in the early years of formal school. They had a mean age of 6.8 years (SD= 0.24). Measures included a 6-item measure of Approaches to Learning (task persistence, independence) and teacher ratings on the SDQ. Teachers rated their relationships with children on the short form of the STRS. Results: Girls were found to have more positive relationships with their teachers and to display more positive classroom behaviours than boys. Teachers described their relationships with boys as less close than their relationships with girls and rated girls as displaying more positive approaches to learning and fewer problem behaviours than boys. Positive teacher – child relationships were significantly related to more positive classroom behaviours. The quality of the teacher-child relationship at time 1 (Wave 1) was the best predictor of the quality of the teacher-child relationship at time 2 (Wave 2). Conclusions: Findings highlight the importance of developing positive learning related classroom behaviours in understanding successful school transition and the key role played by early positive teacher-child relationships in promoting school adjustment.

Computer attitude and classroom computers

Computers not only increase the speed and efficiency of our mental efforts, but in the process they also alter the problem-solving tasks we are faced with and, in so doing, they alter the cognitive processes we use to solve problems. Computers are fundamentally changing our forms of thinking (Colc & Griffin, 1980). Therefore, the computer should be seen as not only having the potential to amplify human mental capabilities, but also of providing a catalyst for intellectual development.

Science teacher leadership for transforming the curriculum and classroom practice

While teacher leadership is the basis for innovation and reform within schools, few international studies have focused on the leadership practices of science teachers and heads of science departments. This chapter reviews the Australasian literature that addresses the issue both directly and indirectly. The transformational practices of heads of science departments as well as influential science teachers within departments are identified in this chapter.

Justifications in young children’s language in an early childhood classroom

This paper examines the interactional phenomenon of justification as it is produced in young children’s language. A justification provides a reason for one’s position and can be produced in children’s language at an early age. There are various pragmatic reasons for justifications. For example, justifications may be drawn upon by members to compensate for the disruption of the existing social order or to explain something that is possibly questionable. Justifications are also drawn upon to extend or close disputes. This study uses the analytical techniques of conversation analysis and membership categorisation to analyse video-recorded and transcribed interactions of young children (aged 4-6 years) in a preparatory classroom in a primary school in Australia. The focus is an episode that occurred within the block play area of the classroom that involved a dispute of ownership relating to a small, wooden plank. In analysing this dispute, justifications were frequent occurrences and the young participants drew upon justificatory devices in their everyday arguments. As the turns surrounding the justificatory language were examined, a pattern emerged: in each excerpt observed, a justification arose in response to a challenge. This pattern provided the basis for developing a model that helped to discern where, why and what type of justifications occurred in the interaction. To depict this interactional phenomenon, the model of ‘if x, then y’ was used, ‘x’ referring to the challenge or prompt, and ‘y’ referring to the justificatory response. Justifications related to the concepts of ownership and were used as devices by those engaged in disputes to support their positions and provide reasons for their actions. The children drew upon these child-constructed rules as resources to use in disputes with their peers, in order to construct and maintain the social order of the block area in the classroom.

Problem solving in a middle school robotics design classroom

Little research has been conducted on how students work when they are required to plan, build and evaluate artefacts in technology rich learning environments such as those supported by tools including flow charts, Labview programming and Lego construction. In this study, activity theory was used as an analytic tool to examine the social construction of meaning. There was a focus on the effect of teachers’ goals and the rules they enacted upon student use of the flow chart planning tool, and the tools of the programming language Labview and Lego construction. It was found that the articulation of a teacher’s goals via rules and divisions of labour helped to form distinct communities of learning and influenced the development of different problem solving strategies. The use of the planning tool flow charting was associated with continuity of approach, integration of problem solutions including appreciation of the nexus between construction and programming, and greater educational transformation. Students who flow charted defined problems in a more holistic way and demonstrated more methodical, insightful and integrated approaches to their use of tools. The findings have implications for teaching in design dominated learning environments.

Using picture books in the Secondary English classroom

This Chapter explores how teachers can use children's picture books in the Secondary English classroom.

'Homophobia' in the university classroom : law and justice students' conceptualizations of queer identity

Heteronormative discourses provide the most common lens through which sexuality is understood within university curricula. This means that sexuality is discussed in terms of categories of identity, with heterosexuality accorded primacy and all ‘others’ indeed ‘othered.’ This paper reports on research carried out by the authors in a core first year university justice class, in which students of law and/or justice were required to engage with, discuss, and reflect on discourses on sexuality. It uses a poststructural framework to identify how students understand non-heterosexualities and how they personally relate to queer identities, in the sense that it asks questions about gender and sexual identity, and the discourses surrounding them. It was found that strongly negative attitudes to non-heterosexualities are quite resistant to challenge, and that some students express being confronted with queerness as a deep-seated fear of being drawn into otherness against their will. The result was that, while many students were able to unpack their attitudes towards queerness and engage in critical reflection and re-evaluation of their attitudes, students with strongly negative views towards non-heterosexualities conversely refused to engage at all, typically perceiving even the engagement itself as a threat to their core heterosexual identity. However, the authors caution against relying on the idea that students are simply “homophobic” to explain this reluctance, as this term does not necessarily account for the complexity of the discourses that inform students’ reactions in this context. This “homophobia” may simply be related to a way of performing gender and sexual identity as opposed to overt discrimination and fear.

Accounts of the visual art classroom : catering for artistically talented students

Inclusive education practices call for the diverse and individual needs of all students to be met satisfactorily. The needs and experiences of artistically talented students in Australian visual art classrooms are currently unknown. This study addresses this gap in research through an inquiry into the experiences of artistically talented students and their teachers in visual art classrooms, by examining the accounts of a group of students and teachers at one high school in South East Queensland. This study is significant as it provides teachers, parents and others involved in the education of artistically talented students with additional means to plan and cater for the educational needs of artistically talented students. Teacher and student accounts of the visual art classroom in this study indicated that identification processes for artistically talented students are unclear and contradictory. Furthermore, teacher and student accounts of their experiences presented a wide variety of conceptions of the visual art classroom and point towards an individualised approach to learning for artistically talented students. This study also discovered a mismatch between assessment practices in the subject visual art and assessment of art in the ‘real world’. Specifically, this study proposes a renewal of programs for artistically talented students, and recommends a revision of current procedures for the identification of artistically talented students in visual art classrooms.

From 'sympathetic' to 'dialogic' imagination : cultural study in the foreign language classroom

This chapter reports on a critical literacy approach to developing intercultural competence in an EFL/ESL classroom: an approach which uses a form of 'connective analysis' between linguacultures leading to productive exploration of the interstices between cultures.