Gap reasoning is an inappropriate strategy for comparing fractions. In this article, Patrick Sullivan and Joann Barnett look at the persistence of this misconception amongst students and the insights teachers can draw about students' reasoning.

The old myth about the ability and variability of potential in children is a comforting myth, for those who are uneasy with the degree of inequality they see and would rather seek to justify it than confront it. The myth of inherent potential helps some explain to themselves why they are privileged. Extend the myth to believe in inherited ability…

Despite an emphasis on manipulative algebraic techniques in secondary school algebra, many tertiary mathematics students have mastered these skills without conceptual understanding. A significant number of students with high tertiary entrance ranks enrolled in first semester university mathematics were found to have misconceptions relating to…

Logarithms continue to play an important role in mathematics (most significantly in calculus), science, and engineering. It is therefore important for students to understand logarithms as real numbers as well as the characteristics of logarithmic functions. Exploration of challenges in understanding logarithms as real numbers and logarithmic…

An experiment using a sample of 11th graders compared text editing and worked examples approaches in learning to solve dilution and molarity algebra word problems in a chemistry context. Text editing requires students to assess the structure of a word problem by specifying whether the problem text contains sufficient, missing, or irrelevant…

A recent international study of pre-service teachers identified that proportional reasoning was problematic for pre-service teachers. Proportional reasoning is an important topic in the middle years of schooling and therefore it is critical that teachers understand this topic and can rely on their Mathematical Content Knowledge (MCK) when…

Colleen Vale makes the case for professional learning teams collaborating together to improve their teaching and hence children's achievement. In this article she describes how this may be done. Along the way the teachers explored the idea of equivalence and the common conceptions and misconceptions held by children in their classes.

Despite the emphasis that children should have a robust sense of number and a thorough understanding of fraction (National Mathematics Advisory Panel, 2008), many students continue to struggle with these concepts. Booker Diagnostic Assessment Framework (Booker, 2011) can inform decision about teaching that improves students' learning outcomes.…

Discusses the implications of a research study of more than 2000 students aged 11 to 15 that explored why the students interpret algebra in certain ways. Recommends strategies that can help teachers deal with prior knowledge that students may bring to their study of algebra. (DDR)

Presents an approach to explaining a relation, a - b = -(b - a), that is difficult for algebra students to understand. The approach came about as a result of discussions with students in which they provided many novel explanations. (DDR)

Problem solving is an essential skill in the study of genetics. Genetics problems have traditionally come from laboratory activities and textbook situations. Recently computer-based problems have been available to complement these standard sources. This report focusses on the use of computer-based problems in the study of genetics. Discriptions…

Three modules on chemical equilibrium, developed as resource materials for a content-methodology course in chemistry for intending teachers and also for general chemistry courses at the senior secondary and tertiary levels, are described. The use of these modules in a methodology course showed a significant development of competence in the…

Found grades in science achieved by tenth-grade general science students correlated with their scores on Propositional Logic Test. The students' ability level was consistently related to the pattern of errors they committed on that measure. Mean scores were lowest on a subtest of ability to use the bicondition and implication, higher on the…

Diverse themes from the annual conference of the Australian Science Education Research Association are addressed in this volume. New topic concerns as well as concerns that have been cited in previous issues are identified. Papers focus on issues including: (1) science and technology; (2) classroom practices and processes; (3) international…

This book contains selected refereed papers from the 21st Annual Conference of the Australasian Science Education Research Association. The papers are as follows: "A Learning Model for Science Education: Developing Teaching Strategies" (Appleton); "Researching Balance between Cognition and Affect in Science Teaching" (Baird et…