Intensive Mathematics

Foreword

We believe in the importance of Mathematics education to young people in development. Consequently, apart from skills and concepts in Mathematics, the series emphasizes abilities in perceptual and imaginative education to interest in the subject and appreciation of the beauty of Mathematics. However, the deficient education of teaching is complicacy, which make student only focus on a one think but not a life-long learning. As a result, Mathematics education is formed from perceptual to rational education. This is a learning process to facilitate the building up of foundation knowledge. Hua Luogeng, a world-renowned Chinese Mathematician, has his unique philosophy on learning – that we learners should acquire and digest information thoroughly to let it become our knowledge. In Chinese, that is “由薄到厚，由厚到薄”. In our opinion, this is the axiom of learning Mathematics.

The main purpose is to provide students with a well-organized in learning revision and method of revision, thorough the “Solution Guide” that can be used throughout the year.

This series of books are comprising of 3 volumes, the Form 1 volume, the Form 2 volume and the Form 3 one. Each chapter of the book mainly consist of five parts:

(1) “Notes” - To introduce the mathematical concepts and method of calculations.

(2) “Exploration” - To explain and establish by examples, sometimes includes analysis and discussion to solutions under the example.

(3) “Warm-up Zone” - There are simple questions similar to typical examples for basic skill training. Students can easily complete them by referring to the examples given. As students have gone through all the questions in this section, the questions in “Challenging Problems” are relatively more difficult than those in “Warm-up Zone”.

(4) “Challenging Problems” - For students of different levels of ability, there are questions of different types and levels in exercises, which enhance students’ skill in problem solving.

(5) “Revision Test” - Part A is multiple choice questions, which contains of 10 different questions and 30 marks. Students at least answer five questions correctly. Part B is word problems, which contains short and long questions and 70 marks. Pass: 50 marks or above; Good: 75 marks or above; Excellent: 90 marks or above.

This series of books all contain a “Solution Guide” to aid students in problem solving. It consists of:

(1) Solution for harder problems (with the asterisk sign *).

(2) Further notes and explication.

(3) Further chapter summarizes the key points, concepts and terms.

We believe that this series would be a great help to the students, and we welcome any comments from teachers and students for our improvements in the future.