Education Commons^™

The Mathematics Education Of Future Primary And Secondary Teachers : Methods And Findings From The Teacher Education And Development Study In Mathematics, Maria Tatto, Sharon Senk, Glenn Rowley, Ray Peck

Ray Peck

In 2005, the International Association for the Evaluation of Educational Achievement (IEA), Michigan State University, and the Australian Council for Educational Research took an important step in advancing the field of education by partnering to develop and implement the first international and comparative study of mathematics teacher education. The study was made possible by the substantial funding received from the National Science Foundation, the IEA, and the collaboration of 17 participating countries. The purpose of this article is to illustrate the methodology used in this major cross-national study of teacher education—the IEA Teacher Education and Development Study in Mathematics, known …

An Analysis Of Teacher Education Context, Structure, And Quality- Assurance Arrangements In Teds-M Countries : Findings From The Iea Teacher Education And Development Study In Mathematics (Teds-M), Lawrence Ingvarson, John Schwille, Sharon Senk, Glenn Rowley, Ray Peck, Maria Tatto

Ray Peck

The present report is a companion report to the TEDS-M publication Policy, Practice, and Readiness to Teach Primary and Secondary Mathematics in 17 Countries: Findings from the IEA Teacher Education and Development Study in Mathematics (TEDS-M) written by Tatto et al., (2012). That report presented findings about the nature and content of teacher education programs in the 17 participating countries, as well as the mathematical knowledge and pedagogical knowledge of graduates from those programs. The present report focuses on reporting data gathered at the national level and placing those findings in context. When interpreting the findings presented in the aforementioned …

Using Mathematical Competencies To Predict Item Difficulty In Pisa, Ross Turner, J Dossey, W Blum, M Niss

Ross Turner

Mathematical Thinking Of Preschool Children In Rural And Regional Australia : Research And Practice, Robert Hunting, Janette Bobis, Brian Doig, Judith Mousley, Lyn English, Joanne Mulligan, Marina Papic, Catherine Pearn, Bob Perry, Jill Robbins, Jenny Young-Loveridge

Catherine Pearn

Results of a research project that investigated: early childhood educators' thoughts on young children's mathematical thinking and development; reviewed recent research literature on the mathematical learning and thinking of young children; and made this information accessible to early childhood educators at all levels. Sixty-four early childhood educators from regional and rural New South Wales, Queensland and Victoria were interviewed for the project. Questions focused on: children's mathematics learning; support for mathematics teaching; use of technology; attitudes to mathematics; and assessment and record keeping. [p.1]

Examining The Use Of Ict In Mathematics And Science Teaching, John Ainley

Dr John Ainley

Australian science and mathematics teachers are leaders in the useof ICT in school education according to an international comparativestudy, and ACER is set to lead further research in this area.John Ainley explains.

Learning About Students' Mathematical Literacy From Pisa 2003, S Mccrone, J Dossey, Ross Turner, M Lindquist

Ross Turner

Teacher Education And Development Study In Mathematics (Teds-M) : Policy, Practice, And Readiness To Teach Primary And Secondary Mathematics : Conceptual Framework., Maria Tatto, John Schwille, Sharon Senk, Lawrence Ingvarson, Ray Peck, Glenn Rowley

Ray Peck

TEDS-M is a collaborative effort of worldwide institutions to study the mathematics preparation of future primary and secondary teachers. This study investigates whether what future teachers learn in teacher education leads to more effective knowledge of mathematics and mathematics for teaching. The lead centre is the International Study Center at Michigan State University, which along with the International Association for the Evaluation of Educational Achievement (IEA), the Australian Council of Educational Research, and national research centres (NRCs) in 17 countries, is analysing the costs of becoming a teacher prepared to teach mathematics, the policies governing mathematics teacher education (including recruitment, …

Stand Up And Be Counted : Who'd Be A Maths Teacher?, Mark Butler

Mark Butler

Teaching is not easy, but everyone who has never done it seems to think they can do a better job - just as comedians are often offered so- called 'good' jokes by non-comedians. The author of this article, who taught secondary school mathematics for five years, provides an amusing account describing the similarities between a maths teacher and a stand- up comedian.

Pisa 2003—Mathematical Literacy And Learning In The Americas, John Dossey, Sharon Mccrone, Ross Turner, Mary Lindquist

Ross Turner

Whole Number Knowledge And Number Lines Help To Develop Fraction Concepts, Catherine Pearn

Catherine Pearn

Many researchers have noted that students' whole number knowledge can interfere with their efforts to learn fractions. In this paper the authors discuss a teaching experiment conducted with students in Years 5 and 6 from an eastern suburban school in Melbourne. The focus of the teaching experiment was to use number lines to highlight students' understanding of whole numbers then fractions. The study used a screening test and interview using number lines to probe students' understanding of fractions as numbers. By using whole numbers on number lines first, the interview questions clearly helped many students to connect whole number and …

Lesson Study : A Professional Learning Model That Actually Makes A Difference, Hilary Hollingsworth, Delwyn Oliver

Dr Hilary Hollingsworth

Over the past year, a group of mathematics teachers from one Victorian school engaged in a process of professional learning called Lesson Study. In bi-weekly meetings that focused on the development of a single exemplary lesson, they questioned, pondered, discussed, debated, explored, and examined mathematics, and the teaching and learning of mathematics. This paper describes the process and the outcomes of what these teachers consider to be the most powerful professional learning they have experienced.

Mathematics Recovery : Frameworks To Assist Students' Construction Of Arithmetical Knowledge, Catherine Pearn

Catherine Pearn

Mathematics Recovery was the outcome of a three-year research and development project at Southern Cross University, conducted in 1992-5. The project received major funding from the Australian Research Council and major contributions in the form of teacher time, from regional government and Catholic school systems. Over the 3-year period, the project involved working in 18 schools with 20 teachers and approximately 200 participating first-grade students. MR can be regarded as consisting of two distinct but interrelated components. One component concerns an elaborated body of theory and practice for working with students, that is, teaching early number knowledge. The second component …

The Development Of Mathematical Strategies In The Early Years, Catherine Pearn

Catherine Pearn

Current research has shown that children develop a repertoire of mathematical strategies by progressing though five 'counting stages'. These are: perceptual - students are limited to counting those items they can perceive; figurative - students count from one when solving addition problems with screened collections; initial number sequence - students can now count on to solve addition and missing add-end problems with screened collections; implicitly nested number sequence - students are able to focus on the collection of unit items as one thing, as well as the abstract unit items; explicitly nested number sequence - students are simultaneously aware of …

Fractions : Using The Measurement Model To Develop Understanding, Catherine Pearn

Catherine Pearn

Several researchers have noted how children's whole number schemes can interfere with their efforts to learn fractions. An Australian study found that children who were successful with the solution of the rational number tasks exhibited greater whole number knowledge and more flexible solution strategies. Behr and Post (1988) indicated that children needed to be competent in the four operations of whole numbers, along with an understanding of measurement, to enable them to understand rational numbers. The workshop session described in this paper was a 'hands-on' session that focused on the use of paper folding, fraction walls and number lines to …

Assessing Rational Number Knowledge In The Middle Years Of Schooling, Catherine Pearn

Catherine Pearn

Success in Numeracy Education (SINE) is the major numeracy approach being implemented in Victorian Catholic schools. SINE is designed to assist teachers to identify the mathematical understanding of the students they teach and to develop activities to help all students to progress at their relative level of understanding. Two components of SINE have been piloted and implemented: SINE Prep to Year 4 and SINE Years 5 and 6. This paper focuses on work with fractions being undertaken as part of the pilot program for SINE Years 5-8. There has been considerable research into the difficulties experienced by students learning fractions …

Enhanced Mathematics Learning: Does Technology Make A Difference?, Katherine Dix

Dr Katherine Dix

Empowering Classroom Teachers For The 21st Century: Meeting The Challenge Of Advancing Children's Mathematical Development, Catherine Pearn

Catherine Pearn

In this paper, the specific concerns for literacy and numeracy as we enter a new era are addressed through a discussion of an innovative mathematics early intervention program, which the author and classroom teachers have developed and applied. 'Mathematics Intervention' is an innovative program developed by three classroom teachers to identify, then assist, children in year 1 'at risk' of not coping with the current mathematics curriculum. The program incorporates assessment tools and learning activities based on recent research about children's early numerical learning. It develops the basic concepts of number upon which children build their understanding of mathematics. All …

Mathematics Intervention, Marguerite Merrifield, Catherine Pearn

Catherine Pearn

A Mathematics Intervention program has been established at Boroondara Park Primary School for children 'at risk' of not succeeding with Grade 1 mathematics. The program is based on current research that shows that children become numerate by progressing through five counting stages. The development and results of clinical interviews used for testing will be discussed along with strategies that have been used to assist children overcome common difficulties identified by the testing. The importance for classroom teachers to be able to identify each child's strategies and thus their counting stage will be stressed as a starting point for numeracy teaching …