This paper investigates the expectations that a group of preservice secondary mathematics teachers had for how students would approach four particular algebra problems. Their responses to a set of open-ended items were content analysed. Findings show that the teachers ranged in the expectations that they held for their students. Some teachers…

Despite curriculum expectations, many students, including a disproportionate number of girls, do not 'just know' (retrieve) single-digit addition facts by Year 3. The current study employed structured interviews to explore which strategies Year 3/4 students (n = 166) used when solving more difficult addition combinations. Results revealed that…

There is a growing interest in using comparative judgement as a peer assessment tool involving students choosing the 'better' of two pieces of work. However, it has not been shown whether peer assessment through comparative judgement is effective for students' learning. To gain a better understanding of the comparative judgement process, we…

There is a growing awareness that many children are not developing fast and accurate retrieval-based strategies for solving single-digit addition problems. In this study we individually assessed 166 third and fourth grade children to identify a group of children (called accurate-min-counters) who frequently solved simple single-digit addition…

Fluency is an important aspect of mathematics learning and plays a major role in developing proficiency as students are required to use skills and apply knowledge. This paper draws upon findings from a large project that aimed to explore primary students' mathematical fluency. Data from 160 primary students (K-6) from a NSW Departmental school…

In this paper, we introduce 'Concept Questions,' a weekly writing assignment that has been incorporated into multiple upper-level engineering courses at a single university with the intent of enhancing students' conceptual understanding of the course content. To explore the influence of this activity on students in these courses, we compared…

The main objective of this article is to analyse informal learning processes in the field of video games. As many teenagers are engaged in these kinds of practices, the big question is: How do teens learn to play video games? In most cases they do not learn to play video games at school or with their parents, and therefore it is necessary to map…

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 Australian Science Teachers Association offers an innovative international professional development program for science teachers called the Science Teachers Exchange -- Japan. The program offers Australian and Japanese teachers an opportunity to travel to the corresponding country, allowing the teachers to grow in their knowledge of the…

Traditional teaching approaches are generally teacher-directed, where students are taught in a manner that is conducive to sitting and listening. It is often argued that these approaches may not provide students with valuable learning skills, and rather that non-traditional approaches to teaching and learning might better endow students with such…

This article reports on the explicit introduction of metacognitive strategies by an early career science teacher to support the application of mathematics skills. The research investigated the effectiveness of these strategies with three Year 11 physics students using an action research approach. Quantitative and qualitative data were collected…

Generalizability of the value of methods based on learning analytics remains one of the big challenges in the field of learning analytics. One approach to testing generalizability of a method is to apply it consistently in different learning contexts. This study extends a previously published work by examining the generalizability of a learning…

In this research, we examined how 200 students in seventh grade (around 12 years old) solved simple addition problems. A cluster approach revealed that less than half of the cohort displayed proficiency with simple addition: 35% predominantly used min-counting and were accurate, and 16% frequently made min-counting errors. Students who frequently…

To scaffold the development of problem-solving skills in chemistry, chemistry educators are exploring a variety of instructional techniques. In this study, we have designed, implemented, and evaluated a problem-solving workflow--''Goldilocks Help''. This workflow builds on work done in the field of problem solving in chemistry and provides…

Despite the importance placed on how children come to solve single-digit addition problems, many children count on to solve these problems when they are expected to use accurate retrieval-based strategies. In this study, we assessed if a subitising intervention improved the rate at which problem-solving practice promoted retrieval, using a…