Education Commons^™

The Importance Of Fractional Thinking As A Bridge To Algebraic Reasoning, Catherine Pearn, Max Stephens

Catherine Pearn

This presentation will discuss how Year 6 primary school students create algebraic meaning and syntax through their solutions of standard fraction problems. Sample solutions will show how students use best available symbols to move beyond arithmetic calculation and to create innovative chains of algebraic reasoning. Several efficient and successful multiplicative methods are used to achieve this goal—in contrast to less efficient methods, usually additive, which may work only with simple fractions. Teachers need to recognise the underlying algebraic meaning emerging from students solutions and help all students use more efficient strategies and build their own bridges to algebra.

Mat-Rix-Toe: Improving Writing Through A Game-Based Project In Linear Algebra, Adam Graham-Squire, Elin Farnell, Julianna Stockton

Elin R Farnell

The Mat-Rix-Toe project utilizes a matrix-based game to deepen students’ understanding of linear algebra concepts and strengthen students’ ability to express themselves mathematically. The project was administered in three classes using slightly different approaches, each of which included some editing component to encourage the improvement of the students’ mathematical thinking and writing. Differences in the implementation of the project illustrate the benefits and drawbacks of various methods of editing in the mathematics classroom and highlight recommendations for improvements in future implementations of the project.

Monitoring Australian Year 8 Student Achievement Internationally : Timss 2011, Sue Thomson, Kylie Hillman, Nicole Wernert

Kylie Hillman

The Trends in International Mathematics and Science Study (TIMSS 2011) is an international study directed by the International Association for the Evaluation of Educational Achievement (IEA). In Australia, TIMSS was managed by the Australian Council for Educational Research (ACER), and funded by the Australian and state and territory governments.

The goal of TIMSS is to provide comparative information about educational achievement across countries to improve teaching and learning in mathematics and science. It also provides comparative perspectives on trends in achievement in the context of different educational systems, school organisational approaches and instructional practices and to enable this, TIMSS collects …

Characterizing Preservice Teachers’ Mathematical Understanding Of Algebraic Relationships, Leah A. Nillas

Leah A. Nillas

Association Between Intended And Attained Algebra Curriculum In Timss 1998/1999 For Ten Countries, Alla Routitsky, Susan Zammit

Dr Alla Routitsky

The Third International Mathematics and Science Study- Repeat 1998/1999 (TIMSS) assessed the mathematics and science achievement of students in their second year of high school. In addition to achievement tests, extensive information was collected from students and teachers. Of the 38 countries that took part, the overall results in mathematics of eleven countries, including Australia were not statistically different. Following the TIMSS research model, this article examines the association between three levels of curriculum, the intended curriculum, the implemented and the attained curriculum. In particular, this paper compares the achievement in four algebra topics for those students whose teachers reported …