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Using growth modeling, this study examined trajectories of 'switching on' (aspirations) and 'switching off' (disengagement) in mathematics across middle school and high school. In addition, guided by principles under expectancy-value theory, the study sought to determine the extent to which patterns of growth differed by motivation (self-efficacy and valuing) and socio-educational attributes (gender, language background, and achievement). The sample comprised 194 students from four schools who participated in three rounds of data collection across five academic years of their schooling, spanning middle school and high school. In the main, mathematics aspirations declined over time while mathematics disengagement increased. However, initial levels of aspirations and disengagement and their rates of change over time were impacted by motivational and socio-educational factors. Salient findings and their implications for educational assessment and practice are discussed.

With increased accountability attached to students' results on national testing in Australia, teachers feel under pressure to prepare students for the tests. However, this can lead to shallow teaching of a narrowed curriculum. An alternative approach involves using data to identify common errors and misconceptions, discussing strategies aimed at building understanding of important mathematical ideas as well as students' confidence in answering context-based mathematics questions. This study explored the use of a learning model based on professional conversations about national testing results as well as school-based assessment data with junior secondary mathematics teachers in one school. The teachers identified the learning needs of students and chose to implement mental computation and estimation approaches as well as a strategy to address the literacy demands of numeracy test items to support student learning before and after the NAPLAN test. An analysis of the professional learning model identified approaches to enhance both student learning and teaching practice. (Contains 7 tables and 3 figures.)

The focus of this paper is the use of National Assessment Program in Literacy and Numeracy (NAPLAN) items to develop students' competence in reading mathematical text, to promote thinking strategies including estimation, and to evaluate alternative solutions for errors and misconceptions. Showing students test items and discussing strategies for thinking about questions and responses promotes student confidence and resilience, and enables a greater sense of student control over their learning. Teachers best carry out assessment as they talk to and observe their students. For teachers who feel the pressure to prepare their students for the tests, the author is recommending the use of NAPLAN items as discussion starters to promote thinking. (Contains 7 figures and 1 table.)

The characteristics that typify an effective teacher of mathematics and the environments that support effective teaching practices have been a long-term focus of educational research. In this article we report on an aspect of a larger study that investigated "best practice" in mathematics teaching and learning across all Australian states and territories. A case study from one Australian state was developed from data collected via classroom observations and semi-structured interviews with school leaders and teachers and analysed using Valsiner's zone theory. A finding of the study is that "successful" practice is strongly tied to school context and the cultural practices that have been developed by school leaders and teachers to optimise student learning opportunities. We illustrate such an alignment of school culture and practice through a vignette based on a case of one "successful" school.

There is an acknowledged gap between the theory presented in university preparation programmes and the reality of classroom practice that has resulted in many secondary mathematics pre-service teachers failing to implement university-endorsed teaching strategies. Using responses to a questionnaire and interviews, this qualitative study examined the factors that support or inhibit secondary mathematics pre-service teachers' implementation of problem-solving tasks during professional experience. The results showed that even though the majority of pre-service teachers reported having beliefs compatible with using problem-solving tasks, the secondary students' ability, preparation time, and the cooperating teacher were key factors that inhibited pre-service teachers' implementation of problem-solving tasks. It is recommended that pre-service teachers regularly visit classrooms to observe the evolving implementation of problem-solving approaches. Furthermore, cooperating teachers should be required to attend professional development before the professional experience so they understand the goals of the university preparation programme and have the requisite skills and knowledge to support the implementation of problem-solving tasks in learning mathematics.

The "National Mathematics Curriculum Framing Paper" has been released for consultation until 28 February 2009 (see www.ncb.org.au). Professional associations, teachers, teacher educators and others are taking the opportunity to organise meetings and forums to consider the views presented in the paper and to provide critical feedback and commentary on the proposed broad directions. The University of Sydney held a National Curriculum Symposium in December to bring together teachers, school system personnel, academics and representatives from the National Curriculum Board to have a "robust and broad ranging discussion" about the four framing papers released by the NCB: English, Mathematics, History and the Sciences. The program for the symposium began with a presentation by Professor Kerry Kennedy about his reflections on national curriculum in Australia over the last 30 years. This was followed by brief presentations by each of the authors of the framing papers. Discussion groups for each of the disciplines considered key questions about the papers with feedback from each group. Finally Rob Randall, the acting Director of the NCB commented on the challenges identified by the discussion groups. In this paper, the author summarises the comments and discussion about curriculum development in general and the "National Mathematics Curriculum Framing Paper" in particular.

This study of 1,601 students in the middle years of schooling (Grades 5-8, each student measured twice, 1 year apart) from 200 classrooms in 44 schools sought to identify factors explaining gains and declines in mathematics engagement at key transition points. In multilevel regression modeling, findings showed that compared with Grade 6 students (upper elementary; the reference category), students in Grades 7 (typically the first secondary school year) and 8 have significantly declined in mathematics engagement from their previous year. Notably, in further analyses, these declines were found to be related to student (particularly mathematics self-efficacy and valuing), home (parent valuing of mathematics and availability of a computer for mathematics), classroom (class-average achievement and perceived climate), and school (socio-economic status and ethnic composition) factors. Implications for research and practice are discussed.

Studies of one-to-one programs consistently report lower use of laptops in mathematics classrooms compared to other subjects but do not elaborate reasons for these observations. This mixed-method study investigated the experiences and beliefs of 28 mathematics teachers at five secondary schools during the second year of the New South Wales Digital Education Revolution laptop program. While some mathematics teachers planned for students to use their laptops up to once a week, most reported less frequent use in the classroom. Teachers were grouped into categories "Non Adopters," "Cautious Adopters," and "Early Adopters" according to reported classroom use of laptops, then analysed for differences in confidence, knowledge, and beliefs relating to technology for teaching and learning mathematics. A prevalent belief limiting laptop use is that students authentically learn mathematics only using pen and paper. Cautious Adopters and Non Adopters expressed beliefs that laptops exacerbate classroom management problems, especially for lower-achieving students. In the context of ability-streamed classes these beliefs effectively ruled out use of laptops for entire classrooms.

Prompted by international concerns about school and postschool participation in mathematics, the authors of the present study sought to investigate factors predicting "switching on" and "switching off" in mathematics, operationalized through measures of future intent and disengagement, respectively. They drew from Bronfenbrenner's ecological model to explore an educational ecology comprising student, home, classroom, school, and time factors in predicting future intent and disengagement. These models were conducted within a multilevel context, thereby also assessing variation at student, classroom, and school levels. Based on data from 1,601 Australian middle school students from 200 classrooms in 44 schools, variance components models showed the bulk of variance (greater than 85%) in future intent and disengagement resided at the student (and residual) level, with 10%-12% variance explained at classroom and school levels. Multilevel hierarchical regression analyses revealed that student, home, and classroom factors explained most variance in dependent measures. For future intent and disengagement, mathematics self-efficacy, valuing, enjoyment, perceived classroom enjoyment, and parent interest were significant predictors. For disengagement, additional predictors were mathematics anxiety, perceived classroom disengagement, school ethnic composition, and school socioeconomic status. Modeling indicated all predictive effects generalized across classrooms and schools. Findings hold implications for the breadth and depth of efforts in mathematics aimed at reducing disengagement, increasing participation, and promoting more positive future orientations through school and beyond. (Contains 2 tables, 5 footnotes, and 2 figures.)

This study of 1,601 students in the middle years of schooling (Grades 5-8, each student measured twice, 1 year apart) from 200 classrooms in 44 schools sought to identify factors explaining gains and declines in mathematics engagement at key transition points. In multilevel regression modeling, findings showed that compared with Grade 6 students (upper elementary; the reference category), students in Grades 7 (typically the first secondary school year) and 8 have significantly declined in mathematics engagement from their previous year. Notably, in further analyses, these declines were found to be related to student (particularly mathematics self-efficacy and valuing), home (parent valuing of mathematics and availability of a computer for mathematics), classroom (class-average achievement and perceived climate), and school (socio-economic status and ethnic composition) factors. Implications for research and practice are discussed. [ABSTRACT FROM PUBLISHER]

With increased accountability attached to students' results on national testing in Australia, teachers feel under pressure to prepare students for the tests. However, this can lead to shallow teaching of a narrowed curriculum. An alternative approach involves using data to identify common errors and misconceptions, discussing strategies aimed at building understanding of important mathematical ideas as well as students' confidence in answering context-based mathematics questions. This study explored the use of a learning model based on professional conversations about national testing results as well as school-based assessment data with junior secondary mathematics teachers in one school. The teachers identified the learning needs of students and chose to implement mental computation and estimation approaches as well as a strategy to address the literacy demands of numeracy test items to support student learning before and after the NAPLAN test. An analysis of the professional learning model identified approaches to enhance both student learning and teaching practice. [ABSTRACT FROM AUTHOR]

The article reports on the release of the National Mathematics Curriculum Framing Paper on February 28, 2009 in Australia. A contextual summary of the framing paper is presented. It says that the key element of national curriculum reforms to improve academic performance is the framing papers, which call for implementation and determination of teachers' and students' needs. Professor Peter Sullivan says that access to all mathematics until Year 9 is the key to success.