Implementing a Pattern and Structure Mathematics Awareness Program (PASMAP) in kindergarten

This paper provides an interim report of a large empirical evaluation study in progress. An intervention was implemented to evaluate the effectiveness of the Pattern and Structure Mathematical Awareness Program (PASMAP) on Kindergarten students’ mathematical development. Four large schools (two from Sydney and two from Brisbane), 16 teachers and their 316 students participated in the first phase of a 2-year longitudinal study. Eight of 16 classes implemented the PASMAP program over three school terms. This paper provides an overview of key aspects of the intervention, and preliminary analysis of the impact of PASMAP on students’ representation, abstraction and generalisation of mathematical ideas.

Modeling the stepped potential discharge of primary alkaline battery cathodes

A novel model for the potentiostatic discharge of primary alkaline battery cathodes is presented. The model is used to simulate discharges resulting from the stepped potential electrochemical spectroscopy (SPECS) of primary alkaline battery cathodes cathodes, and the results are validated with experimental data. We show that a model based on a single (or mean) reaction framework can be used to simulate multi-reaction discharge behaviour and we develop a consistent functional modification to the kinetic equation of the model that allows for this to occur. The model is used to investigate the effects that the initial exchange current density, i00, and the diffusion coefficient for protons in electrolytic manganese dioxide (EMD), DH+, have on SPECS discharge. The behaviour observed is consistent with the idea that individual reduction reactions, within the multi-reaction, reduction behaviour of EMD, have distinct i00 and DH+ values.

Changing perceptions of preservice teachers : innovations in middle schooling teacher education

For the past twenty years, the disengagement of early adolescents has been the focus of much of the literature related to middle schooling. In response, some universities in Australia have introduced teacher education programs that focus upon graduating specialised middle schooling teachers. The aim of this study was to explore and describe the 38 first-year preservice teachers’ perceptions of their first middle schooling elective unit and ascertain whether the combination of university classes and school-based experiences assisted their development of middle schooling concepts and approaches. Data were gathered using pre-test and post-test questionnaires combined with guided written reflections to record their views before, after and during the unit delivery. Results indicated that initially the preservice teachers had little understanding of middle schooling concepts and pedagogical practices, however, 11 participants recognised that bullying and peer pressure were issues experienced by early adolescents. The reflections, which were presented after their field experiences, focused on teaching, learning, behaviour management, and resources and infrastructure. More school-based experiences linked to theoretical underpinnings can help to facilitate understandings about students in the middle phase.

Educating EFL preservice teachers for teaching astronomy

Malaysia’s Vision 2020 for enhancing its education system includes the development of scientific literacy commencing at the primary school level. This Vision focuses on using English as the Medium of Instruction (EMI) for teaching primary science, as Malaysia has English as a Foreign Language (EFL) in its curriculum. What changes need to occur in preservice teacher education programs for learning about primary science using EMI? This paper investigates the education of Malaysian preservice teachers for learning how to teach one strand in science education (i.e., space, primary astronomy) in an English-language context. Ninety-six second-year preservice teachers from two Malaysian institutes were involved in a 16-week “Earth and Space” course, half the course involved education about primary astronomy. Seventy-five of these preservice teachers provided written responses about the course and their development as potential teachers of primary astronomy using EMI. Preservice teacher assessments and multimedia presentations provided further evidence on learning how to teach primary astronomy. Many of these preservice teachers claimed that learning to teach primary astronomy needs to focus on teaching strategies, content knowledge with easy-to-understand concepts, computer simulations (e.g., Earth Centered Universe, Stellarium, Celestia), other ICT media, and field experiences that use naked-eye observations and telescopes to investigate celestial bodies. Although generally proficient in using ICT, they claimed there were EFL barriers for learning some new terminology. Nevertheless, powerpoints, animations, videos, and simulations were identified as effective ICT tools for providing clear visual representations of abstract concepts and ways to enhance the learning process.

Changing perceptions of preservice teachers : innovations in middle schooling teacher education

For the past twenty years, the disengagement of early adolescents has been the focus of much of the literature related to middle schooling. In response, some universities in Australia have introduced teacher education programs that focus upon graduating specialised middle schooling teachers. Constructing such programs is at the centre of much debate and discussion, however, it is advocated that positive futures for early adolescents can be enhanced through quality middle schooling teacher education programs (Education Queensland, 2004). At a Queensland university campus, middle schooling elective units were introduced as part of the Bachelor of Education (primary) degree. The design of the units was to support preservice teachers to gain the theoretical and pedagogical knowledge to engage and promote early adolescent learning. An innovative approach to the delivery of the units was promoted by a partnership agreement between local schools and the campus. The partnership allowed preservice teachers to combine university classes with opportunities to visit exemplary classrooms to observe, participate and reflect upon middle school teaching practices. The aim of this study was to explore and describe the 38 first-year preservice teachers’ perceptions of their first middle schooling elective unit and to ascertain whether the combination of university classes and school-based experiences assisted their development of middle schooling concepts and approaches. Data were gathered using pre-test and post-test questionnaires combined with guided written reflections to record their views before, after and during the unit delivery. Results indicated that initially 34 preservice teachers had little understanding of middle schooling concepts and pedagogical practices, however, 11 participants recognised that bullying and peer pressure were issues experienced by early adolescents. The collation of the written reflections supported the combined delivery of the middle years unit further supporting the inclusion of school experiences with university delivered units.

Cyberbullying prevention : one primary school’s approach

Bullying in all its forms including cyberbullying is a continuing problem in schools. Given the severe consequences it can have on students (socially, psychologically and physically) it is not surprising that a number of intervention programs have been developed, with most advocating a whole school approach. The current study compared students’ self-reports on bullying between schools with and without a Philosophy for Children (P4C) approach. A sample of 35 students in the P4C school and a matched sample of 35 students in other schools between the ages of 10 and 13 completed the Student Bullying Survey. Results indicated that while there were significant differences in incidences of face-to-face bullying, there were similar results from both cohorts in relation to cyberbullying. Both groups of students felt that teachers were more likely to prevent face-to-face bullying than cyberbullying. Findings indicate that teachers and guidance counsellors need to be as overt in teaching strategies about cyberbullying as they are in teaching strategies about reducing face-to-face bullying.

Three primary school students’ cognition about 3D rotation in a virtual reality learning environment

This paper reports on three primary school students’ explorations of 3D rotation in a virtual reality learning environment (VRLE) named VRMath. When asked to investigate if you would face the same direction when you turn right 45 degrees first then roll up 45 degrees, or when you roll up 45 degrees first then turn right 45 degrees, the students found that the different order of the two turns ended up with different directions in the VRLE. This was contrary to the students’ prior predictions based on using pen, paper and body movements. The findings of this study showed the difficulty young children have in perceiving and understanding the non-commutative nature of 3D rotation and the power of the computational VRLE in giving students experiences that they rarely have in real life with 3D manipulations and 3D mental movements.

Teaching and learning mathematics with robotics in middle-years of schooling

Engaging and motivating students in mathematics lessons can be challenging. The traditional approach of chalk and talk can sometimes be problematic. The new generation of educational robotics has the potential to not only motivate students but also enable teachers to demonstrate concepts in mathematics by connecting concepts with the real world. Robotics hardware and the software are becoming increasing more user-friendly and as a consequence they can be blended in with classroom activities with greater ease. Using robotics in suitably designed activities promotes a constructivist learning environment and enables students to engage in higher order thinking through hands-on problem solving. Teamwork and collaborative learning are also enhanced through the use of this technology. This paper discusses a model for teaching concepts in mathematics in middle year classrooms. It will also highlight some of the benefits and challenges of using robotics in the learning environment.

Benchmarking mentoring practices : a case study in Turkey

Throughout the world standards have been developed for teaching in particular key learning areas. These standards also present benchmarks that can assist to measure and compare results from one year to the next. There appears to be no benchmarks for mentoring. An instrument devised to measure mentees’ perceptions of their mentoring in primary science was administered to 304 preservice teachers in Turkey. Results indicated that the majority of mentees perceived they received mentoring practices, however, 20% or more claimed they had not received 24 of the 34 practices outlined on the researchbased survey. Establishing benchmarks for mentoring practices may assist educators to identify needs and developing programs that address these needs. This survey instrument can aid the identification of mentoring practices through the recipient’s perspective for advancing mentoring, which may ultimately have an effect on improving teaching practices.

Student autonomy enhancing science learning : Observations from a Primary Connections implementation

This case study involved a detailed analysis of the changes in beliefs and teaching practices of teachers who adopted the Primary Connections program as a professional development initiative. When implementing an inquiry-based learning model, teachers observed that their students learnt more when they intervened less. By scaffolding open-ended nquiries they achieved more diverse, complex and thorough learning outcomes than previously achieved with teacher-led discussions or demonstrations. Initially, student autonomy presented erceived threats to teachers, including possible selection of topics outside the teachers’ science knowledge. In practice, when such issues arose, resolving them became a stimulating part of the earning for both teachers and students. The teachers’ observation of enhanced student learning became a powerful motivator for change in their beliefs and practices. Implications for developers of PD programs are (1) the importance of modeling student-devised inquiries, and (2) recognising the role of successful classroom implementation in facilitating change.

Early childhood teachers' mathematical content knowledge

The process of becoming numerate begins in the early years. According to Vygotskian theory (1978), teachers are More Knowledgeable Others who provide and support learning experiences that influence children’s mathematical learning. This paper reports on research that investigates three early childhood teachers mathematics content knowledge. An exploratory, single case study utilised data collected from interviews, and email correspondence to investigate the teachers’ mathematics content knowledge. The data was reviewed according to three analytical strategies: content analysis, pattern matching, and comparative analysis. Findings indicated there was variation in teachers’ content knowledge across the five mathematical strands and that teachers might not demonstrate the depth of content knowledge that is expected of four year specially trained early years’ teachers. A significant factor that appeared to influence these teachers’ content knowledge was their teaching experience. Therefore, an avenue for future research is the investigation of factors that influence teachers’ content numeracy knowledge.

Towards a classification of criterion referenced assessment models in mathematics courses : student and academic perspectives

We present the findings of a study into the implementation of explicitly criterion- referenced assessment in undergraduate courses in mathematics. We discuss students' concepts of criterion referencing and also the various interpretations that this concept has among mathematics educators. Our primary goal was to move towards a classification of criterion referencing models in quantitative courses. A secondary goal was to investigate whether explicitly presenting assessment criteria to students was useful to them and guided them in responding to assessment tasks. The data and feedback from students indicates that while students found the criteria easy to understand and useful in informing them as to how they would be graded, it did not alter the way the actually approached the assessment activity.

Direct instruction in mathematics : issues for schools with high Indigenous enrolments : a literature review

Direct instruction, an approach that is becoming familiar to Queensland schools that have high Aboriginal and Torres Strait Islander populations, has been gaining substantial political and popular support in the United States of America [USA], England and Australia. Recent examples include the No Child Left Behind policy in the USA, the British National Numeracy Strategy and in Australia, Effective Third Wave Intervention Strategies. Direct instruction, stems directly from the model created in the 1960s under a Project Follow Through grant. It has been defined as a comprehensive system of education involving all aspects of instruction. Now in its third decade of influencing curriculum, instruction and research, direct instruction is also into its third decade of controversy because of its focus on explicit and highly directed instruction for learning. Characteristics of direct instruction are critiqued and discussed to identify implications for teaching and learning for Indigenous students.

Re-engaging adolescent students in science : an experienced teachers' classroom

Adolescents are both aware of and have the impetuous to exploit aspects of Science, Technology, Engineering and Mathematics (STEM) within their personal lives. Whether they are surfing, cycling, skateboarding or shopping, STEM concepts impact their lives. However science, mathematics, engineering and technology are still treated in the classroom as separate fragmented entities in the educational environment where most classroom talk is seemingly incomprehensible to the adolescent senses. The aim of this study was to examine the experiences of young adolescents with the aim of transforming school learning at least of science into meaningful experiences that connected with their lives using a self-study approach. Over a 12-month period, the researcher, an experienced secondary-science teacher, designed, implemented and documented a range of pedagogical practices with his Year-7 secondary science class. Data for this case study included video recordings, journals, interviews and surveys of students. By setting an environment empathetic to adolescent needs and understandings, students were able to actively explore phenomena collaboratively through developmentally appropriate experiences. Providing a more contextually relevant environment fostered meta-cognitive practices, encouraged new learning through open dialogue, multi-modal representations and assessments that contributed to building upon, re-affirming, or challenging both the students' prior learning and the teacher’s pedagogical content knowledge. A significant outcome of this study was the transformative experiences of an insider, the teacher as researcher, whose reflections provided an authentic model for reforming pedagogy in STEM classes.

Challenging teachers’ assumptions in an era of curriculum and assessment change

Significant responsibility has been given to schools and sectors to interpret and plan for assessment within the Australian Curriculum. As schools take this opportunity to review and renew their school curriculum, it is important for teachers and school leaders to take the time to work out whether there are any assessment myths lurking in the conversations or assumptions that need to be challenged. Outdated myths or cultural narratives of learning can limit our thinking and student learning, without us being aware of it.