This book is now regarded as a classic on the teaching and assessment of graph interpretation skills.
The Language of Functions and Graphs focuses on developing fluency in using various mathematical representations to describe and analyse the real world, and on the teaching tactics needed to handle student discussion in groups and with the whole class.
Unit A of the classroom materials tackles the interpretation and sketching of scatter graphs and line graphs - an area where most pupils need help if they are to go beyond the plotting and reading of points to the global meaning of the graph. This material is accessible to a wide range of abilities.
Unit B develops modelling skills - the search for patterns in a realistic situation and their expression in verbal, graphical and algebraic forms: this unit is more challenging.
Each unit takes about two weeks of mathematics time. In addition there is a collection of further problems. There are a number of assessment tasks with marking schemes for GCSE but this may need updating for the current curriculum and assessment criteria. Some of the examples are quite complex and may need updating. However, the principles of focus on interpretation and using mathematics to model and represent real life situations will help students apply their understanding of mathematics in increasingly complex and unfamiliar situations.