FOREWORD
This book has been written to cover the ‘ ’
course over a two-year period.
The new course was developed by University of Cambridge International Examinations (CIE) in consultation
with teachers in international schools around the world. It has been designed for schools that want their
mathematics teaching to focus more on investigations and modelling, and to utilise the powerful technology
of graphics calculators.
The course springs from the principles that students should develop a good foundation of mathematical skills
and that they should learn to develop strategies for solving open-ended problems. It aims to promote a
positive attitude towards Mathematics and a confidence that leads to further enquiry. Some of the schools
consulted by CIE were IB schools and as a result, Cambridge International Mathematics integrates
exceptionally well with the approach to the teaching of Mathematics in IB schools.
This book is an attempt to cover, in one volume, the content outlined in the Cambridge International
Mathematics (0607) syllabus. References to the syllabus are made throughout but the book can be used as a
full course in its own right, as a preparation for GCE Advanced Level Mathematics or IB Diploma
Mathematics, for example. The book has been endorsed by CIE but it has been developed independently of
the Independent Baccalaureate Organization and is not connected with, or endorsed by, the IBO.
To reflect the principles on which the new course is based, we have attempted to produce a book and CD
package that embraces technology, problem solving, investigating and modelling, in order to give students
different learning experiences. There are non-calculator sections as well as traditional areas of mathematics,
especially algebra. An introductory section ‘Graphics calculator instructions’ appears on p. 11. It is intended
as a basic reference to help students who may be unfamiliar with graphics calculators. Two chapters of
‘assumed knowledge’ are accessible from the CD: ‘Number’ and ‘Geometry and graphs’ (see pp. 29 and 30).
They can be printed for those who want to ensure that they have the prerequisite levels of understanding for
the course. To reflect one of the main aims of the new course, the last two chapters in the book are devoted to
multi-topic questions, and investigations and modelling. Review exercises appear at the end of each chapter
with some ‘Challenge’ questions for the more able student. Answers are given at the end of the book,
followed by an index.
The interactive CD contain software (see p. 5), geometry and graphics software,
demonstrations and simulations, and the two printable chapters on assumed knowledge. The CD also contains
the text of the book so that students can load it on a home computer and keep the textbook at school.
The Cambridge International Mathematics examinations are in the form of three papers: one a non-calculator
paper, another requiring the use of a graphics calculator, and a third paper containing an investigation and a
modelling question. All of these aspects of examining are addressed in the book.
The book can be used as a scheme of work but it is expected that the teacher will choose the order of topics.
There are a few occasions where a question in an exercise may require something done later in the book but
this has been kept to a minimum. Exercises in the book range from routine practice and consolidation of
basic skills, to problem solving exercises that are quite demanding.
In this changing world of mathematics education, we believe that the contextual approach shown in this
book, with the associated use of technology, will enhance the students’ understanding, knowledge and
appreciation of mathematics, and its universal application.We welcome your feedback.
Email:
Web:IGCSE Cambridge International Mathematics (0607) ExtendedsKB, AR, PMH, RCH, SHH, MH
[email protected]
http://www.haeseandharris.com.auSelf TutorIGCSE
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Y:\HAESE\IGCSE01\IG01_00\003IGCSE01_00.CDR Friday, 21 November 2008 12:53:41 PM PETER