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The 24th National Vocational Education and Training Research Conference, colloquially known as "No Frills", was held in July 2015.The conference highlighted research across three major themes:(1) youth: engaging, inspiring and supporting students to realise their potential; (2) pathways: transitioning through education and training into the workforce; and (3) skills: working with industry and employers to improve education and training. The presentations provided delegates with diverse insights from government, academic and employer perspectives on the key issues confronting the vocational education and training (VET) sector. A select few speakers at the conference were also offered the opportunity to have their papers peer-reviewed, and these five refereed papers have been compiled to make up this book of conference proceedings. The papers examine: the diversity of VET providers and the needs of students; initiatives designed to improve the capabilities of VET practitioners; how skills contribute to innovation, and the implications of this in terms of return on investment; the impact of VET students transitioning directly into second year university and how these students can best be supported; and the learning preferences of VET students (specifically enrolled nurses), how they differ by comparison with university students and the consequent implications. The hope is that these papers will provide an insight into the array of topics presented at the "No Frills" conferences and generate interest in attending future conferences. Contents include: (1) Profiling the institutional diversity of VET providers in Australia, across four broad dimensions (Peter Bentley, Leo Goedegebuure and Ruth Schubert); (2) Understanding the needs of VET students articulating to second-year university (Mark Symmons, Paul Kremer, and Alvin Rendell); (3) Learning preferences of Enrolled Nursing students: Educational preparation and training for workplace readiness (Kalpana Raghunathan, Sonia Allen, and Elisabeth Jacob); (4) Improving VET teachers' skills and their approach to professional learning (Anne Dening); and (5) Skills needed for innovation: A review (Michael Walsh). [Individual papers contain references. This conference was cohosted by the University of Western Sydney, TAFE: Western Sydney Institute, WSI, and TAFE: South Western Sydney Institute.]

There is widespread agreement that collaboration, teamwork and intercultural competence, among others, are essential 21st century skills. Higher education teaching and learning initiatives tend to have a significant focus on developing these skills through assessments and other in-class activities, and yet often do not take advantage of opportunities to collaborate with other institutions located in different countries to give their students an authentic, globalised learning experience. Previous transnational education projects have tended to encourage cross-institutional collaboration through engagement with host institution subjects/courses that are delivered at off-shore locations. Although these initiatives are valuable, they tend to impose a 'neo-colonialism' approach and therefore may not develop 'transformative' international perspectives. This paper will present an initiative that was developed between two institutions located in Australia and Hong Kong, where their students collaborated on an assessment for learning task that involved developing a real-life solution for not-for-profit organisations, often located in a third country. The ideas discussed in this paper will be useful for anyone who is trying to create a more immersive, authentic learning experience for their students. These initiatives developed in our students a heightened sense of belonging to a truly globalised world we live in and instilled a shared responsibility of care. Ideas discussed in the presentation will also be useful for policy makers about how to go about creating more supportive policy and governance frameworks to encourage greater collaborations with off-shore institutions in a truly respectful arrangement. [For the complete proceedings, see ED601080.]

Mathematics anxiety is a known problem in mathematics education. This paper reports on a study looking at mathematics anxiety in a primary school classroom (year 6). Students were given a mathematics test and a following anxiety questionnaire to assess their levels of anxiety, to try to better understand issues that caused anxiety and to understand ways that teachers might help reduce anxiety. Results indicated that assessing anxiety itself could be pedagogically valuable. Results also offered some suggestions for reducing anxiety.

Research across five countries has identified inability to pay attention to mathematical detail -- the discipline of noticing -- is an issue in senior secondary school mathematics teachers. The test and questionnaire completed by an Australian cohort further identifies a reluctance to employ non-routine questions in assessments, with teachers concerned about damaging the trust relationship they enjoy with their students. As teachers fail to demonstrate strong ability in non-routine written test questions themselves, this paper questions whether there exists a 'conspiracy' between teachers and their students to avoid scrutiny of conceptual understanding.

The increase in the use of educational technologies in Australian high schools has sparked this investigation into how Year 9 (13 to 14 years of age) students experience and negotiate a new technology enhanced learning environment in a bilingual classroom setting. The paper is about examining the students' language practices in German and English while using a Managed Learning Environment (MLE). The study aims to unearth how such translanguaging practices (using both German and English to communicate in bilingual education settings) contribute to and shape self-regulated learning in a scientific open inquiry process. This is corroborated by insights into student reflections on using the MLE in two languages, with data gained from a student survey. The study further analyses the relationship between bilingual language practices and adaptive tool use. The effectiveness of online learning environments depends on the students' adaptive tool-use (Barzilai & Zohar, 2006; Lust, Vandewaetere, Elen, & Clarebout, 2014) and the ability to engage in self-regulatory learning practices (Zimmerman, Bembenutty, & Schunk, 2013). Data were collected via voice recordings, a student-designed questionnaire and focus group interviews with 22 Year 9 students covering 18 Biology lessons during 6 weeks, over two consecutive years. The study revealed that students' self-regulatory practices during open inquiry processes developed in specific ways through the exposure to a bilingual classroom setting, e.g. by being exposed to unknown terms in German which led them to search for translations and then on to further self-initiated and self-regulated research to find explanations online However, when biology content knowledge was pre-prepared (in the second language of German) by the teacher in guided customized simulations on a computer software tool, students seem to favor such guided practices over self-initiated and self-regulated research as shown during the open inquiry task. However, independent of the specifics of bilingual language use in open or guided inquiry, the tool-use also appeared to be reliant on students' prior disposition. Consequently, results of this study might have interesting implications for the future customization of online learning spaces for high school students and educators in bilingual settings as well as other fields. [For full proceedings, see ED571332.]

This paper reports on the experiences of newcomers at the 36th Annual MERGA Conference. The paper applies Wenger's (1998) social learning theory to explore the kinds of feedback that might assist newcomers. Questionnaire responses to describe the experience of ten newcomers and interview responses from five of the ten are reported. The participants identified the stimulating presentations and being immersed in an environment conducive to rich dialogue as important factors that contributed to a positive experience. The newcomers felt welcomed by the MERGA community and were able to contribute, particularly those who had previous experience in research or at other conferences.

Increasingly, faculty academics are required to teach and design online courses. However, in many cases, faculty members report having low levels of confidence, self-efficacy and competence to teach in online environments. Although their professional learning is often enhanced by institutional support strategies such as workshops, online instruction and mentoring systems, many faculty academics learn through "just-in-time" rather than "just-in-case" strategies. This paper reports on the findings from a cross-continental research project between researchers in two higher education institutions in the United States and Australia. The project was initiated to: 1) determine the learning needs of faculty members who teach online and design online courses; and 2) to develop tailored professional learning programs and resources to enable faculty members to become effective online teachers and skilled online course designers. As well as providing an account of the research findings to date, the paper provides recommendations for other researchers who may be considering cross-institutional or cross-continental research about online teaching, online course design and professional learning programs. [For Full Proceedings see: ED562107.]

To succeed in mathematics middle-years' students must move from additive to multiplicative thinking and from arithmetic calculations to generalised algebraic strategies. If we ask the right questions this progression can be monitored and prompted through fraction tasks. Students' solution strategies for fraction tasks vary from a dependence on diagrams, to methods that demonstrate algebraic reasoning. Based on testing and interviews two frameworks have been developed. The first is used to classify strategies students use to find an unknown whole, when given a known fractional part of the whole, and its equivalent quantity. The second framework monitors the extent to which algebraic reasoning is apparent when opportunities for generalised responses are prompted.

There is growing consensus that the process of planning mathematics lessons is as complex as teaching them, yet there is limited research on this. This paper reports on one aspect of a project examining issues in primary teachers' mathematics planning. The results, taken from a questionnaire completed by 62 primary teachers, indicate that when planning their lessons, teachers give priority to a diverse range of aspects related to their mathematical knowledge for teaching, yet there are similarities in the challenges which they experience. Findings also suggest that team planning can support teachers overcome such challenges. Issues requiring further attention are discussed.

In 2015, a new MTeach coursework unit, "Numeracy for Learners and Teachers," was introduced at Monash University. The impetuses for this unit were the Australian Institute for Teaching and School Leadership numeracy standards for graduate teachers, and the inclusion of numeracy as a general capability in the Australian Curriculum. In this paper, we describe the content and organisation of the unit, and its delivery modes. An evaluation was conducted with students using pre- and post-unit questionnaires and interviews. A major finding was that students' confidence to incorporate numeracy into their teaching across the curriculum increased after studying the unit.

This paper presents initial data from a study being undertaken into the potential effects of a mentoring program for teacher education students who have self-identified as suffering from mathematics anxiety. The first phase of the study saw 8 primary teacher education students opt into a program matching them in pairs with 4 mentor teachers who had been selected by their principals after meeting 6 criteria that identified them as highly capable mentors in mathematics education. The mentees worked with the mentors in classrooms for 8 weeks. After the program the students were interviewed. Data from these students is explored here with particular emphasis on an artefact presented by one of the students about her journey through the process.

As teaching is a cultural activity embedded in a unique context, professional development opportunities for teachers may be best placed amid the relevance of everyday classroom practice, and supported by an innovative curriculum. This progress paper reports on data collected as part of doctoral research studying the changes in mathematical knowledge and beliefs of three year 5/6 teachers as they implemented a four-week, innovative curriculum unit. Early analysis of the case of Year 5 teacher Mark pointed to reflection on the pivotal influence of teachers' stated and inferred beliefs about mathematics and mathematics teaching on classroom practice, and the vagaries of didactic contracts in a change environment.

Drawing on survey data from over 2000 parents, this paper explores the possibility of early-years swimming to add mathematical capital to young children. Using developmental milestones as the basis, it was found that parents reported significantly earlier achievement on many of these milestones. Such data suggest that the early years swim environment may offer enhanced opportunities for learning skills that help transition young children into formal schooling. This paper explores those milestones that are related to early mathematics.

This paper documents the development of an online qualitative questionnaire to be used with teachers of young children experiencing parental separation and divorce. The questionnaire forms the first phase one of a larger project where it will be used to determine teachers' thoughts, opinion, and beliefs regarding their preparedness for working with children experiencing parental separation and divorce. Development and structure of the questionnaire has been informed by a previous study whereby teachers disclosed their professional learning needs for working with children and families experiencing parental separation and divorce. The modules in the questionnaire reflect the modules in the online professional learning tool. The categories of teachers' professional learning needs are--(1) knowledge of the phenomenon, (2) working with children, and (3) working with families. Usefulness of the questionnaire was determined using Brookfield's theory of the critically reflective practitioner. I reflected on my own experiences, sought feedback from colleagues who trialed the questionnaire, and made comparisons with the literature. These data were synthesized to conclude the useful of the questionnaire to determine teachers' perception of their preparedness for working with children experiencing parental separation and divorce.

This research study provides a comparative understanding of instructional design e-practice in an Australian and an American university. This comparative study identifies information relating to the current status of instructional design e-practice that will be of assistance to Australian universities to improve their existing online programs. The study investigated two universities using a quantitative methodological approach. Participants were students, lecturers and admins of one Faculty in an Australian university and one Faculty in an American university engaged with e-learning programs. The instructional design variables, namely clarifying expectations, personalization, learning scenarios, organizing resources and accuracy of materials were investigated for e-practice. The results showed that there were no significant differences in evaluation of the sub factors between Australian and American students and lecturers. American admins evaluated the sub factors of personalization, organizing resources, and accuracy of materials higher than Australians; however, Australian admins evaluated the sub factor of clarifying expectations higher than the Americans. The evaluations of instructional design practice and its sub factors were above average in general in both countries; however, the sub factor of organizing resources was evaluated as poor in the Australian sample and poor and average in the American sample. This indicates that this sub factor needs to improve in both countries. [For the complete proceedings, see ED579335.]

This paper reports on an intervention program, "Prepare 2 Learn", that was designed taking into account a range of components from other successful intervention programs. The program is focussed on year 6 students from a school in Melbourne, Australia, who are falling approximately 6 months behind with the hope that extra help at an early stage may result in them reaching the required standard and realising their potential. While the students' academic results moved substantially a more pleasing result was the noticeable improvement in the students' approaches to their learning.

Mathematical knowledge of pre-service teachers is currently "under the microscope" and the subject of research. This paper proposes a different approach to teacher content knowledge based on the "big ideas" of mathematics and the connections that exist within and between them. It is suggested that these "big ideas" should form the basis of teacher planning but it is acknowledged that this represents a "cultural change." The proposal is supported by results from a project that involved pre-service teachers in their final mathematics education unit. Results suggest that a focus on the "big ideas" of mathematics has the potential to change teacher planning and enhance content knowledge.

It is essential that pre-service teacher educators address pre-service teacher numeracy but with careful consideration as it incorporates more than mathematics skills. Numeracy also involves disposition towards mathematics--attitudes, confidence and mathematics anxiety; that is, the level of willingness to use mathematics skills. As part of an emphasis on developing pre-service teacher numeracy, a new first year unit was introduced. Pre-service teachers were given tools to investigate their competence, attitudes towards, confidence with, and anxiety regarding mathematics. This paper outlines the changes that were identified in the numeracy of these pre-service teachers at the completion of the unit.

These proceedings contain the papers of the 13th International Conference on Cognition and Exploratory Learning in the Digital Age (CELDA 2016), October 28-30, 2016, which has been organized by the International Association for Development of the Information Society (IADIS), co-organized by the University of Mannheim, Germany, and endorsed by the Japanese Society for Information and Systems in Education (JSISE). The CELDA conference aims to address the main issues concerned with evolving learning processes and supporting pedagogies and applications in the digital age. There have been advances in both cognitive psychology and computing that have affected the educational arena. The convergence of these two disciplines is increasing at a fast pace and affecting academia and professional practice in many ways. These proceedings contain the following keynote lectures: (1) From Digital to Double Blended Learning (Jeroen J. G. van Merrienboer); and (2) Open Educational Resources: Educational Technology as a Driver for Educational Reform? (Michael Kerres). Full papers in these proceedings include: (1) A Service-Learning Project Using Crowdfunding Strategy: Students' Experience and Reflection (Jessnor Elmy Mat-jizat and Khalizul Khalid); (2) Towards a Theory-Based Design Framework for an Effective E-Learning Computer Programming Course (Ian S. McGowan); (3) An Ontology for Learning Services on the Shop Floor (Carsten Ullrich); (4) The Impact of Technology Integration upon Collegiate Pedagogy from the Lens of Multiple Disciplines (Joan Ann Swanson); (5) A Learning Support System Regarding Motion Trigger for Repetitive Motion Having an Operating Instrument (Hiroshi Toyooka, Kenji Matsuura, and Naka Gotoda); (6) Task-Based Assessment of Students' Computational Thinking Skills Developed through Visual Programming or Tangible Coding Environments (Takam Djambong and Viktor Freiman); (7) Framework for Intelligent Teaching and Training Systems--A Study of the Systems (Nikolaj Troels Graf von Malotky and Alke Martens); (8) Mobile Device Usage in Higher Education (Jan Delcker, Andrea Honal, and Dirk Ifenthaler); (9) Features Students Really Expect from Learning Analytics (Clara Schumacher and Dirk Ifenthaler); (10) Music Technology Competencies for Education: A Proposal for a Pedagogical Architecture for Distance Learning (Fátima Weber Rosas, Leticia Rocha Machado, and Patricia Alejandra Behar); (11) Increasing Students' Science Writing Skills through a PBL Simulation (Scott W. Brown, Kimberly A. Lawless, Christopher Rhoads, Sarah D. Newton, and Lisa Lynn); (12) The Effect of Choosing versus Receiving Feedback on College Students' Performance (Maria Cutumisu and Daniel L. Schwartz); (13) The Impact of Middle-School Students' Feedback Choices and Performance on Their Feedback Memory (Maria Cutumisu and Daniel L. Schwartz); (14) Numerical Acuity Enhancement in Kindergarten: How Much Does Material Presentation Form Mean? (Maria Lidia Mascia, Maria Chiara Fastame, Mirian Agus, Daniela Lucangeli, and Maria Pietronilla Penna); (15) A Video Game for Learning Brain Evolution: A Resource or a Strategy? (Luisa Fernanda Barbosa Gomez, Maria Cristina Bohorquez Sotelo, Naydu Shirley Roja Higuera, and Brigitte Julieth Rodriguez Mendoza); (16) Communication Vulnerability in the Digital Age: A Missed Concern in Constructivism (Fusa Katada); (17) Online Learners' Navigational Patterns Based on Data Mining in Terms of Learning Achievement (Sinan Keskin, Muhittin Sahin, Adem Ozgur, and Halil Yurdugul); (18) Amazed by Making: How Do Teachers Describe Their PBL Experience (Dalit Levy and Olga Dor); (19) Group Work and the Impact, If Any, of the Use of Google Applications for Education (Jannat Maqbool); (20) Fractangi: A Tangible Learning Environment for Learning about Fractions with an Interactive Number Line (Magda Mpiladeri, George Palaigeorgiou, and Charalampos Lemonidis); (21) Evaluation of Learning Unit Design with Use of Page Flip Information Analysis (Izumi Horikoshi, Masato Noguchi, and Yasuhisa Tamura); (22) Einstein's Riddle as a Tool for Profiling Students (Vildan Özeke and Gökhan Akçapinar); (23) Exploring Students' E-Learning Effectiveness through the Use of Line Chat Application (Tassaneenart Limsuthiwanpoom, Penjira Kanthawongs, Penjuree Kanthawongs, and Sasithorn Suwandee); (24) Factors Affecting Perceived Satisfaction with Facebook in Education (Penjuree Kanthawongs, Penjira Kanthawongs, and Chaisak Chitcharoen); (25) Interactive Video, Tablets and Self-Paced Learning in the Classroom: Preservice Teachers' Perceptions (Anthia Papadopoulou and George Palaigeorgiou); (26) Cognitive Design for Learning: Cognition and Emotion in the Design Process (Joachim Hasebrook); (27) Investigating the Potential of the Flipped Classroom Model in K-12 Mathematics Teaching and Learning (Maria Katsa, Stylianos Sergis, and Demetrios G. Sampson; (28) Learning Analytics to Understand Cultural Impacts on Technology Enhanced Learning (Jenna Mittelmeier, Dirk Tempelaar, Bart Rienties, and Quan Nguyen); (29) Widening and Deepening Questions in Web-Based Investigative Learning (Akihiro Kashihara and Naoto Akiyama); (30) Year 9 Student Voices Negotiating Digital Tools and Self-Regulated Learning Strategies in a Bilingual Managed Learning Environment (Ulla Freihofner, Simone Smala, and Chris Campbell); (31) Purposeful Exploratory Learning with Video Using Analysis Categories (Meg Colasante); (32) Building a Learning Experience: What Do Learners' Online Interaction Data Imply (Mehmet Kokoç and Arif Altun); (33) Rules for Adaptive Learning and Assistance on the Shop Floor (Carsten Ullrich); and (34) Participation and Achievement in Enterprise MOOCs for Professional Learning (Florian Schwerer and Marc Egloffstein). Short papers included in these proceedings include: (1) Connectivist Communication Networks (Ingolf Waßmann, Robin Nicolay, and Alke Martens); (2) Learning and Skills Development in a Virtual Class of Educommunications Based on Educational Proposals and Interactions (Maria Cristina Bohorquez Sotelo, Brigitte Julieth Rodriguez Mendoza, Sandra Milena Vega, Naydu Shirley Roja Higuera, and Luisa Fernanda Barbosa Gomez); (3) The Relationship among ICT Skills, Traditional Reading Skills and Online Reading Ability (I-Fang Liu and Hwa-Wei Ko); (4) Towards Concept Understanding Relying on Conceptualisation in Constructivist Learning (Farshad Badie); (5) E-Learning in Chemistry Education: Self-Regulated Learning in a Virtual Classroom (Rachel Rosanne Eidelman and Yael Shwartz); (6) Relationship of Mobile Learning Readiness to Teacher Proficiency in Classroom Technology Integration (Rhonda Christensen and Gerald Knezek); (7) Human Computer Interaction (HCI) and Internet Residency: Implications for Both Personal Life and Teaching/Learning (Linda Crearie); (8) A Portfolio for Optimal Collaboration of Human and Cyber Physical Production Systems in Problem-Solving (Fazel Ansari and Ulrich Seidenberg); (9) Innovative Collaborative Learning Strategies for Integrated Interactive E-Learning in the 21st Century (Barbara Son); (10) Educational Criteria for Evaluating Simple Class Diagrams Made by Novices for Conceptual Modeling (Mizue Kayama, Shinpei Ogata, David K. Asano, and Masami Hashimoto); (11) Digital Natives and Digital Divide: Analysing Perspective for Emerging Pedagogy (Uriel U. Onye and Yunfei Du); (12) E-Learning System Using Segmentation-Based MR Technique for Learning Circuit Construction (Atsushi Takemura); (13) Students' Google Drive Intended Usage: A Case Study of Mathematics Courses in Bangkok University (Krisawan Prasertsith, Penjira Kanthawongs, and Tan Limpachote); (14) An Empirical Study on the Impact of Self-Regulation and Compulsivity towards Smartphone Addition of University Students (Penjira Kanthawongs, Felicito Angeles Jabutay, Ruangrit Upalanala, and Penjuree Kanthawongs); (15) Adaptive Game Based Learning Using Brain Measures for Attention--Some Explorations (Jelke van der Pal, Christopher Roos, Ghanshaam Sewnath, and Christian Rosheuvel); (16) Evaluation of the Course of the Flight Simulators from the Perspective of Students and University Teachers (Feyzi Kaysi, Bünyamin Bavli and Aysun Gürol); (17) Development of Critical Thinking with Metacognitive Regulation (Yasushi Gotoh); (18) Enacting STEM Education for Digital Age Learners: The "Maker" Movement Goes to School (Dale S. Niederhauser and Lynne Schrum); (19) New Scenarios for Audience Response Systems in University Lectures (Daniel Schön, Stephan Kopf, Melanie Klinger, and Benjamin Guthier); (20) Academic Retention: Results from a Study in an Italian University College (Maria Lidia Mascia, Mirian Agus, Maria Assunta Zanetti, Eliano Pessa, and Maria Pietronilla Penna); and (21) Learning How to Write an Academic Text: The Effect of Instructional Method and Reflection on Text Quality. Reflection papers in these proceedings include: (1) Teachers' Attitude towards ICT Use in Secondary Schools: A Scale Development Study (Mehmet Kemal Aydin, Ali Semerci, and Mehmet Gürol); and (2) Inventing the Invented for STEM Understanding (Alicia Stansell, Tandra Tyler-Wood, and Christina Stansell). An author index is included. Individual papers contain references.

The purpose of this paper is to report on a small pilot study in which an heuristic was used to enable principals to reflect on the confidence they have in their existing leadership knowledge and how they might add to that knowledge in the future. The motivation for the study arose from a literature review of strategies for leadership development which showed up the lack of attention paid in research to principals' agency in the pursuit of their own learning. This contrasts starkly with the dominance in the literature of principals' reliance on education systems or authorities which, at present, make most decisions about principals' learning in leadership development programs. The piloting of the heuristic acts as a means of shifting the emphasis from system to self, thus empowering individuals to take more responsibility for their own future leadership learning needs. (Contains 1 table.)

This paper presents the results of an investigation into the attitudes of School Administrators to the relationship between formal school registration and school improvement. It concerns a mandatory inspection-type registration process for all Non-Government Schools in Western Australia. Part of the aim of this registration process was to help schools improve twelve educational and administrative aspects. These were: (1) School Governance, (2) School Financial Viability, (3) Enrolments & Attendance, (4) Number of Students, (5) Instructional Time, (6) School Staff, (7) School Infrastructure, (8) School Curriculum, (9) Student Learning Outcomes, (10) Care for Students, (11) Disputes and Complaints, (12) Legal Compliance. A questionnaire based on these twelve aspects was designed with five items per aspect (60 items total), conceptually ordered from easy to hard, and given to 110 administrators. It was completed by 65 administrators for a useable, response rate of 59%. The data were analysed with the Rasch model computer program RUMM2030 which accommodated the small numbers by estimating parameters even when some response cell frequencies are zero or low. It does this by re-parameterising the thresholds into principal components (not the factor analysis kind), but components that make up the structure of the threshold parameters where there are data. The frequencies are not used directly, but rather functions of the frequencies are used as the sufficient statistics for these parameters and the thresholds are recovered from these. A unidimensional, linear scale, School Administrators' Beliefs That Actual School Improvements Were Due to Formal School Registration, was created with 48 items. The Person Separation Index of 0.86 was highly satisfactory. The item-trait interaction was 83.76, df = 96 with p = 0.81 supporting the creation of a unidimensional scale. The results showed that there was a group of items that administrators said were relatively easy to say that actual school improvements were due to formal registration and another group that administrators said were very hard to say that actual school improvements were due to formal registration. This study produced a new Rasch measurement for a key aspect of school improvement. It provides new insight into the policy and practice of school registration. (Contains 6 tables and 6 figures.)

This paper presents an investigation into the attitudes of School Administrators to the relationship between formal school registration and school improvement. It concerns a mandatory inspection-type registration process for all Non-Government Schools in Western Australia. Part of the aim of this registration process was to help schools improve twelve educational and administrative aspects. These were: (1) School Governance, (2) School Financial Viability, (3) Enrolments & Attendance, (4) Number of Students, (5) Instructional Time, (6) School Staff, (7) School Infrastructure, (8) School Curriculum, (9) Student Learning Outcomes, (10) Care for Students, (11) Disputes and Complaints, (12) Legal Compliance. A questionnaire based on these twelve aspects was designed with five items per aspect (60 items total), conceptually ordered from easy to hard, and given to 110 administrators. It was completed by 65 administrators for a useable, response rate of 59%. The data were analysed to create twelve Guttman Scales. In a Guttman Scale the items are aligned from easy to hard horizontally and the person scores are arranged vertically from high (top) to low (bottom) by items. If the data were to fit a Guttman pattern accurately, then the pattern of person responses for each item would be in a perfect steptype arrangement. If a person scores high on the hardest item, then that person scores high on all the other easier items. If a person scores low on the easiest item, then that person will score low on all the other harder items. In a practical situation, as was the case for these twelve Guttman Scales, the response patterns were not in perfect step-type arrangement, but they were all very acceptable. The response patterns fit a Guttman pattern, giving strong evidence for a unidimensional scale. The twelve Guttman Scale scores were then used to calculate 66 zero-order, effectively different inter-correlations (Pearson Product-Moment Correlations) between and amongst the twelve aspects of formal registration. The results showed that there were items that administrators said were relatively easy to say that actual school improvements were due to formal registration and other items that administrators said were very hard to say that actual school improvements were due to formal registration. This study produced new Guttman Scales and many interesting correlations for a key aspect of school improvement. It provides new insight into the policy and practice of school registration. (Contains 7 tables.)

Emotions play an important part in learning and are known to influence human development. The positive emotions of enjoyment and interest are thought to contribute to learning in distinctive ways, yet this distinction tends to be blurred in some learning research. This paper explores the role these two emotions play in the development of children's statistical literacy. It focuses on the responses of 220 middle-school children to just six self-descriptions, three assessing interest and three assessing enjoyment. Analysis of these responses suggests that the two emotions are difficult to differentiate empirically, but that differences in reported levels of enjoyment and interest may depend on students' perceptions of competence in the specific tasks with which they are engaged. Implications of this for teachers and researchers are discussed.

This paper reports the impact of a collaborative professional experience model on pre-service secondary mathematics teachers' perspectives and practices within a learning community. Nine pre-service teachers made 12 school visits over one year to observe and co-teach problem-solving lessons in two Year 8 classes. They discussed the lesson with the teacher and the university supervisor, and posted reflective comments to an online forum. Data from questionnaires, interviews, and reflections indicate participation in the learning community helped pre-service teachers link theory and practice, learn from each other, and become more reflective.