ABSTRACT

There is a very large quantity of written mathematics, at widely differing levels of complexity. In order to gain access to this stored information, pupils need to know how to read mathe­ matics. In the two previous chapters, I have indicated how complex the mathematical writing system is. What relation does written mathematics have to spoken natural languages such as English which are equipped with a mathematical register? How are the structural metaphors discussed in Chapter 4 reflected in the notations of mathematics? These two themes provide the core of this chapter which attempts to re-integrate the written and spoken strands which make up this book by means of the notion of reading. I then conclude with a brief examination of the recently burgeoning field of meta-linguistics (the study of the knowledge and beliefs of individuals about language itself) and explore its relationship with mathematics.