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Developing own Thinking Series - PM752MAction into Words demonstrates that in mathematics, objects are often less important than actions on those objects.
Doing and Undoing shows how shifting the emphasis from doing to undoing, apparently routine calculations can generate interesting and significant mathematical questions and thinking.
Approaching Infinity: Cantor’s ideas of cardinality, countability and ordinality are introduced, along with the ways in which infinity is encountered in geometry.
Picturing Functions: Computer packages and graphic calculators can be used to highlight important features of the graphs of functions. This book aims to increase teachers’ familiarity with common functions and then extends to explore graphs of inverse functions, combinations, and geometric transformations.
Dealing with Decimals: Decimals are introduced as names for numbers corresponding to points on the number line, and their relation with fractions is explored. The arithmetic of fractions and decimals is probed and irrational numbers introduced.
This pack is designed for secondary teachers of mathematics seeking professional and curriculum development but is also relevant for teachers of upper primary. It promotes investigative, practical and discussion-based approaches to the teaching and learning of mathematics, and shows how these can be applied to the classroom.