Where money and meanings meet : theorizing the emergence of new values in media and education

Recent developments in technology, globalization, and consumer activism have challenged the "broadcasting model" of natonally bounded, vertically integrated, monopolistic, expert-paradigm media industries, dedicated to supplying leisure entertainment to more or less passive consumers. Instead, attention has turned to globally traded formats, social network markets, consumer-created content, multiplatform "publication," and a semiotic long tail where niche representations can be as valuable as blockbusters. Such chenges are just as much a challenge to education as they are to business models. And education, both formal and informal, is a dynamic agent in these processes, participation, and creative content require a rethink of "studies" just as much as of "media."

Years 2 to 6 students' ability to generalise : models, representations and theory for teaching and learning

Over the last three years, in our Early Algebra Thinking Project, we have been studying Years 3 to 5 students’ ability to generalise in a variety of situations, namely, compensation principles in computation, the balance principle in equivalence and equations, change and inverse change rules with function machines, and pattern rules with growing patterns. In these studies, we have attempted to involve a variety of models and representations and to build students’ abilities to switch between them (in line with the theories of Dreyfus, 1991, and Duval, 1999). The results have shown the negative effect of closure on generalisation in symbolic representations, the predominance of single variance generalisation over covariant generalisation in tabular representations, and the reduced ability to readily identify commonalities and relationships in enactive and iconic representations. This chapter uses the results to explore the interrelation between generalisation and verbal and visual comprehension of context. The studies evidence the importance of understanding and communicating aspects of representational forms which allowed commonalities to be seen across or between representations. Finally the chapter explores the implications of the studies for a theory that describes a growth in integration of models and representations that leads to generalisation.