An important topic of study in secondary mathematics is non-linear functions, including quadratic equations. In this study, findings from 25 Year 11 students indicated that difficulties with critical prerequisite concepts such as algebraic conventions impeded students' success in understanding and working with quadratics. Analysis of student…

The demand for improving student interest in science has increased efforts toward teaching Einstein's theory of general relativity in schools. Research has already shown that teaching Einsteinian gravity at the secondary level is feasible, however, appropriate resources must be readily available for science teachers to make Einsteinian gravity…

Understanding is one of the four key proficiencies in the "Australian Curriculum: Mathematics" and arguably the pivot on which mathematics depends. This case study investigated preservice teachers' understanding and ability to articulate some measurement concepts. Data were gathered from 23 preservice teachers who voluntarily…

Fostering metacognitive awareness of misconceptions should enhance deep processing of scientifically correct explanations and thereby decrease misconceptions. To explore these potentially beneficial effects, we conducted a field study implemented in a regular educational psychology course in an Australian teacher education program. In a two-by-two…

Undergraduate mathematics instructors often report that students make careless errors or have not previously learned key mathematical ideas and strategies. The purpose of this study is to explore evidence of an alternative explanation that at least some of these "errors" may result from students' application of conceptions developed in…

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…

Understanding plate tectonics is pivotal to development of an integrated understanding of Geoscience topics. However, geology is frequently introduced to students in lower secondary school by describing separate processes, such as sedimentary rock formation, rather than investigating the overall driving forces for change. This study investigated…

Alternative conceptions in astronomy are a road block to new learning. Astronomy content is included in the Australian Curriculum (AC) from Year 3 and then intermittently in Year 5, Year 7 and Year 10. In accepting that science is socio-culturally constructed, it is important for teachers to have a clear understanding of the alternative…

The need to make higher education curricula gender-inclusive is increasingly pressing as student cohorts diversify. We adopted a student-staff partnership approach to design, integrate, and evaluate a module that taught first-year science students the difference between biological sex, gender identity, gender expression, and sexual orientation in…

Concept inventories (CIs) are assessment instruments designed to measure students' conceptual understanding of fundamental concepts in particular fields. CIs utilise multiple-choice questions (MCQs), and specifically designed response selections, to help identify misconceptions. One shortcoming of this assessment instrument is that it fails to…

In this article, John West explores student misconceptions relating to division. A range of activities that promote the understanding of divisibility rules are provided.

"Research has consistently found that pedagogy informed by knowledge of students' existing ideas is more efficient in promoting conceptual change than traditional methods of instruction". Learners in the sub-field of environmental geography exhibit preconceptions that frame and sometimes hinder their knowledge acquisition. Those…

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…

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…

Discovery-based learning designs incorporating active exploration are common within instructional software. However, researchers have highlighted empirical evidence showing that "pure" discovery learning is of limited value and strategies which reduce complexity and provide guidance to learners are important if potential learning…