Features: • The current and new versions will have the same pagination. • A large number of fully worked examples demonstrate mathematical processes and encourage independent learning. Exercises are carefully graded to suit the range of students undertaking each mathematics course • Online self-marking objective response quizzes provide further opportunities to practice the multiple choice style questions included in HSC Maths exams. 2 Unit / 3 Unit Mathematics: • Foundation questions consolidate fluency and understanding, development questions encourage students to apply their understanding to a particular context. • Extension or Challenge questions inspire further thought and development for advanced students. • The wealth of questions in these three categories enables teachers to make a selection to be attempted by students of differing abilities and provides students with opportunities to practice questions of the standard they will encounter in their HSC exams.

Contains features including a large number of fully worked examples which demonstrate mathematical processes and encourage independent learning

Features contain a large number of fully worked examples demonstrate mathematical processes and encourage independent learning.

A large number of fully worked examples demonstrate mathematical processes and encourage independent learning. Exercises are carefully graded to suit the range of students undertaking each mathematics course. Online self-marking objective response quizzes provide further opportunities to practice the multiple choice style questions included in HSC Maths exams.

This book offers an alternative to current philosophy of mathematics: heuristic philosophy of mathematics. In accordance with the heuristic approach, the philosophy of mathematics must concern itself with the making of mathematics and in particular with mathematical discovery. In the past century, mainstream philosophy of mathematics has claimed that the philosophy of mathematics cannot concern itself with the making of mathematics but only with finished mathematics, namely mathematics as presented in published works. On this basis, mainstream philosophy of mathematics has maintained that mathematics is theorem proving by the axiomatic method. This view has turned out to be untenable because of Gödel’s incompleteness theorems, which have shown that the view that mathematics is theorem proving by the axiomatic method does not account for a large number of basic features of mathematics. By using the heuristic approach, this book argues that mathematics is not theorem proving by the axiomatic method, but is rather problem solving by the analytic method. The author argues that this view can account for the main items of the mathematical process, those being: mathematical objects, demonstrations, definitions, diagrams, notations, explanations, applicability, beauty, and the role of mathematical knowledge.

This series is endorsed by Cambridge International Examinations and is part of Cambridge Maths. Learners will reinforce their mathematical understanding in an enjoyable way with the fun games in this stage 3 games book resource for teachers. Instructions for teachers or parents are provided and direct links to both the course objectives and activities in the teacher's guide are made, making this the perfect resource for additional class activity or homework. All photocopiable resources needed to play the games are included in the book and on the CD, so learners can start playing straight away. Projectable instructions for the learners are also included on the CD.

This series is endorsed by Cambridge International Examinations and is part of Cambridge Maths. This teacher's resource for stage 1 will fully support teachers to get the best from their learners and effectively use the learner's book and games book. Detailed lesson plans based on the course objectives are offered, along with additional activity ideas. Teachers will be guided to formatively assess their learners' understanding. They will have the confidence to engage the class in mathematical discussion and encourage learners to justify answers and make connections between ideas. Answers to the learner's book and all photocopiable sheets required are provided. All book content, plus more, is included on the CD for convenience.