Problem solving and reasoning are students' processes of actively applying what they know to new problems from diverse areas of mathematics. Knowing a variety of mathematical ideas is insufficient unless students can draw on, integrate and use them to solve challenging, complex problems.

The Navigating through Problem Solving and Reasoning books for grades 3-6 present hands-on investigations that nurture reasoning and problem-solving strategies in each of the upper elementary grades. In lively and challenging investigations for grade 6, students have opportunities to reason about parts of a whole, analyse patterns of growth, discover area formulas for familiar shapes, explore scale factors and similar figures and analyse a set of data to solve a real-world problem: how to arrange competitors in teams for an athletic festival. Students apply mathematical ideas from the five main content areas - number, algebra, geometry, measurement and data analysis. As they work, they infer, generalise, reason by analogy, recognise relationships and make representations and they also predict, check and revise and verify their results.

Includes a supplemental CD-ROM that features applets for students' use and resources for teachers' professional development.