Enhancing the mathematical problem solving and conceptual understanding of Year 6 students was the goal for a team of primary teachers. For this purpose, they investigated a teaching approach involving Challenging Tasks as a Professional Learning Community. The process followed by the team is outlined, and the impact on teaching and learning is…

At the commencement of 2022 there was an opportunity to be engaged in a curriculum development project focused on reimagining mathematics learning in primary schools. Schools were seeking new experiences to support engaging students and teachers in mathematics learning. Laburnum Primary School participated in the project with Monash University,…

The aim of this research was to explore 11 to 12-year-old children's understanding of the mass of objects made from different materials, and the measurement of this attribute. In depth task-based interviews were conducted with six children attending six different schools; five were in Year 6 and one in Year 7. The children were found to hold…

There is growing interest in the introduction of Einsteinian concepts of space, time, light and gravity across the entire school curriculum. We have developed an educational programme named 'Einstein-First', which focuses on teaching Einsteinian concepts by using simple models and analogies. To test the effectiveness of these models and analogies…

Multiplicative thinking is accepted as a "big idea" of mathematics that underpins important mathematical concepts such as fraction understanding, proportional reasoning, and algebraic thinking. It is characterised by understandings such as the multiplicative relationship between places in the number system, basic and extended number…

Visual and analytic strategies are features of students' schemes for spatial tasks. The strategies used by six students to anticipate the folding of nets were investigated. Evidence suggested that visual and analytic strategies were strongly connected in competent performance.

All students should have opportunities to develop their ability to reason mathematically. Gersten and Chard (1999) support this stance with respect to students with learning disabilities: "Even if students are not automatic with basic facts, they still should be engaged in activities that promote the development of number sense and…

By the time students reach the middle years they have experienced many chance activities based on dice. Common among these are rolling one die to explore the relationship of frequency and theoretical probability, and rolling two dice and summing the outcomes to consider their probabilities. Although dice may be considered overused by some, the…

Mathematics educators have had a long standing interest in students' understanding of decimal numbers. Most studies of students' understanding of decimals have been conducted within Western cultural settings. Similar research in other countries is important for a number of reasons, perhaps most importantly because it can provide insights that may…

In the middle years of school, it is important that mathematics is challenging, engaging and focuses on worthwhile mathematics. In this article, Anne Roche describes a lesson that seemed to have all three of these characteristics, as students grappled with issues of scale to create a fun run, given a range of challenging mathematical constraints.…

Teaching students to use and interpret representations in science is critically important if they are to become scientifically literate and learn how to communicate their understandings and learning in science. This study involved 248 students (119 boys and 129 girls) from 26 grade 6 teachers' classes in nine primary schools in Brisbane,…

Typically-Perceived-Situation (TPS) refers to the situation rising spontaneously in an individual's mind when she/he first thinks of a phenomenon or concept. The purpose of this study is to go well beyond the many studies that describe conceptions of force and explore children's TPS of "force is acting on a thing" and "force is not…

As environmental changes become a significant societal issue, elementary science curricula need to develop students' understanding about the key concepts of energy and climate change. For teachers, developing quality learning experiences involves establishing what their students' prior understanding about energy and climate change are. A survey…

For both 6 and 11 year olds, social knowledge had a significant influence on test phase responses. It is maintained that the study clarifies the relationship between the use of knowledge-based and similarity-based information in children's acquisition of concepts. (BG)

This article reports on research into learning gains made by children aged 10-12 when they studied astronomy using learning activities in a constructivist environment consolidated by access through the Internet to a scientific-grade telescope. Young people often hold naive or alternative ideas about scientific phenomena from early childhood. Since…