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Mathematical interactions: Data analysis and probability

Kissane, B., Harradine, A. and Boys, A. (1999) Mathematical interactions: Data analysis and probability. Shriro Australia Pty Limited, Chatswood, N.S.W.

Abstract

Calculators are too often regarded as devices to produce answers to numerical questions. However, a graphics calculator like the Casio CFX-9850GB PLUS is much more than a tool for producing answers. It is a tool for exploring mathematical ideas. We have written this book to offer some suggestions of how to make good use of this tool for the particular areas of data analysis and probability.

We assume that you will read this book with the calculator by your side, and make use of it as you read. Unlike some mathematics books, in which there are many exercises of various kinds to complete, this one contains only a few ‘interactions’ and even fewer ‘investigations’. The learning journey that we have in mind for this book assumes that you will complete all the interactions, rather than only some. The investigations will give you a chance to do some exploring of your own.

We also assume that you will work through this book with a companion: someone to compare your observations and thoughts with; someone to help you if you get stuck; someone to talk to about your mathematical journey. Learning mathematics is not meant to be a lonely affair; we expect you to interact with mathematics, your calculator and other people on your journey.

Throughout the book, there are some calculator instructions, written in a different font (like this). These will help you to get started, but we do not regard them as a complete manual, and expect that you will already be a little familiar with the calculator and will also use the Owner’s Manual, our Getting Started book and other sources to develop your calculator skills.

Data Analysis and Probability are two of the topics in General Mathematics. Data analysis can involve data collected by other people or data that you collect for yourself. Both of these aspects are explored in this book. Meaningful interpretation of data analysis also requires some understanding of probability, which is why we have included it in this book. We have also included some exciting material on analysing data produced through simulation. An important source of data, understanding simulation also requires an understanding of the basic ideas of probability. Although we have sampled some of the possible ways of using a graphics calculator to learn about these topics, we have certainly not dealt with all of them.

Publication Type: Book
Murdoch Affiliation: School of Education
Publisher: Shriro Australia Pty Limited
Copyright: 1999 The Authors
URI: http://researchrepository.murdoch.edu.au/id/eprint/6330
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