Series:

Navigations

3 total works

Cover of Navigating through Reasoning and Proof in Grades 9-12
This book's activities highlight the important cycle of exploration, conjecture and justification in all five mathematical strands. Students recognise patterns and make conjectures, learn the value of a counterexample, explore the strengths and weaknesses of visual proofs, discover the power of algebraic representations and learn that theoretical approaches can substantiate empirical results. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.

Cover of Navigating through Measurement in Grades 9-12
Throughout history, the need for more sophisticated measurements has led to the discovery of more sophisticated mathematics. This book highlights this important idea in activities that help students explore an array of measurement strategies and techniques. Investigations probe ancient methods for performing such tasks as measuring the speed of ships at sea and estimating the distance of the sun from the earth. Students apply simple formulas to measure complex shapes, explore iterative processes that lead to measurement formulas and develop an original formula for measuring the size of a tree. They also discover how to use advanced technology to make measurements and mathematical models of complex real-world phenomena. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.

Cover of Navigating through Mathematical Connections in Grades 9-12
Making connections becomes increasingly important as students proceed through middle school and high school. This book shows ways of embedding connective processes in instruction in grades 9-12. Problems invite mathematical modelling, unify diverse content, call for different representations and encourage students to look back at their work to find connections. Activities feature such tasks as determining a dosage schedule for a prescription drug, making ""transit graphs"" to maximise travel through a canal and deciding when to accept a ""double dare"" in a simple game. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students and additional readings for teachers.