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…

This study examines how a class of Grade 7 students employed linguistic resources to explain density differences. Drawing from the same data-set as a previous study by, we take a language perspective to investigate the challenges students face in learning the concept of density. Our study thus complements previous research on learning about…

Concept image is proposed by Vinner and Tall (1981) to differentiate the elements and relationships that a learner constructs about a concept from formal mathematical definition for the same concept. The answers of 119 University students to an examination question are analysed to establish the concept images they have for circle and ellipse. The…

This paper reports on a design experiment regarding young children's concepts of mass measurement. 119 year one and two children were interviewed using a clinical interview both before and after the teaching period comprising five lessons that offered rich learning experiences regarding concepts of mass. The results of the interviews were that the…

Two classrooms of diverse 5-year-old children were set the task of exploring ways of realising music invention through the semiotic import of composing resources. In both a rural and an inner-urban setting in Australia, children demonstrated syncretism in bilingual practices in communication. Visual multimodal analysis demonstrated how children…