The teaching and learning of statistical thinking begins at a young age in Australia, with a focus on data representation and interpretation from Foundation Year (age 5), and the collection, sorting and categorising of items from the natural environment starting even earlier. The intangible concept of "data," as part of statistical…

Although there has been intense criticism of NAPLAN in educational policy debates in Australia, little scholarly efforts have been made to understand the underlying cognitive mechanisms that contribute to the public narrative about the national testing program. We aim to provide tentative evidence about the way public perceptions about NAPLAN may…

In cognitive load theory, the superiority of the Example-Problem sequence over the Problem-Example sequence has become a classic paradigm. The comparative effectiveness of these sequences, however, is subject to the influence of the factors of element interactivity and prior knowledge, and studies have examined these influences focused mostly on…

All students should have access to learning experiences that help them make sense of important mathematical concepts. This study highlights teacher actions for consolidating student learning during teacher-lead discussion in the early years. We report on a case study of a Year 1 teacher involving a lesson observation. Highlights of the lesson…

Vygotsky (in: Rieber, Carton (eds) The collected works of L.S. Vygotsky, vol 1, Pleneum Press, Newyork, pp 167-241, Retrieved from http://images.lib.monash.edu.au/edf5411/04118997.pdf, 1987) stated that academic or scientific concepts require a level of conscious awareness on the part of the child within everyday situations. Academic concepts can…

Making sense of theory plays an essential role in the life of a doctoral student. This autoethnographic study explores how I made sense of educational theory while conceptualizing the theoretical framework for my PhD proposal. A diary that I kept while designing the proposal serves as the data source to examine how my thinking about theory…

Two approaches to the process of guided discovery learning are compared for their impacts on concept understanding. One, referred to as design, emphasizes invention and draws on the simulation literature. The other, referred to as case analysis, focuses on discovery and draws on the case-based reasoning literature. Following a lecture on four…

Contemporary debates on effective pedagogies for K-12 mathematics have called for shifts in the way teachers and teacher educators conceptualise mathematics as a subject and how it should be taught. This is reflected by changes in the curriculum including the inclusion of a strand called Working Mathematically within K-12 mathematics curriculum…

The operation of means-ends analysis (MEA) involves attempts at reducing differences between problem states and the goal state. It was paradoxically found that the more problem solvers knew of the goal state, the less they learned of the problem structure during the solution process. (PN)

Category theory concept of a commutative diagram was used to construct a model of the way in which symbolic processes are applied to problem solving. It was shown that several different levels of thought can be distinguished within the basic model. Two experiments testing the theory are reported. (Author/RD)

Reports on a preliminary project that uses a phenomenographic approach to explore the ways in which a small number of fundamental ideas are conceptualized by students who are judged to have mastered quantum mechanics material. (DDR)

Studies children's knowledge as revealed in extended conversations. Describes four types of conversations with young children who are learning science and technology. Contains 22 references. (DDR)

Explains that, in relation to the concept of vision, the cognitive structural model accounts for the normal developmental sequence. Indicates some possible sequences that might help to explain the alternative framework phenomenon. Contains 20 references. (DDR)

This conceptual framework is grounded in the data analysis of transcribed interviews with 50 Ontario teachers and the text of a 7-month online discussion group among 25 principals from England, Ireland, Canada, United States, Australia, and New Zealand. Both methods were employed with the stated purpose of understanding emotional experiences of…

Argues that current testing of student understanding provides insufficient information to a researcher investigating strategies for changing students' explanatory ideas. Outlines a new test based on recent work in child development. (DDR)