Many poor children are underprepared for demanding primary school curricula. Research in cognitive science suggests that school achievement could be improved by preschool pedagogy in which numerate adults engage children's spontaneous, nonsymbolic mathematical concepts. To test this suggestion, we designed and evaluated a game-based preschool curriculum intended to exercise children's emerging ...

This paper discusses computer-mediated thinking and some of its possible implications for curriculum design in mathematics education. We begin with a discussion of today’s context and of ideas related to computermediated thinking. We continue with examples of the use of computermediated thinking in modern applied mathematics. We then extract some suggestions for a curriculum in mathematics cent...

This article demonstrates how newly available technology suggests to completely rethink how key concepts of (vector-) calculus are introduced. We consider this a particularly dramatic show-case, which also raises the question whether similarly radical rethinking applies to other areas throughout the mathematics curriculum. The new approach makes fairly advanced mathematical concepts accessible ...

We present a graph-based approach to discover and extend semantic relationships found in a mathematics curriculum to more general network structures that can illuminate relationships within the instructional material. Using words representative of a secondary level mathematics curriculum we identified in separate work, we constructed two similarity networks of word problems in a mathematics tex...

A framework for a problem-driven mathematics curriculum is proposed, grounded in the assumption that students learn mathematics while engaged in complex problem-solving activity. The framework is envisioned as a dynamic technologicallydriven multi-dimensional representation that can highlight the nature of the curriculum (e.g., revealing the relationship among modeling, conceptual, and procedur...

Numeracy – sometimes referred to as mathematical literacy has emerged a driver for curriculum reform in many international contexts. This chapter traces the emergence and interpretations of numeracy compares their relationship processes four countries. In Australia Ireland, is regarded competency be developed within all subjects across school curriculum. South Africa, on other hand, introduced ...