Self-study textbook for Junior Secondary School -- Free download for students

日期 2014-12-03 15:03:20
文章主題: 九章數學基金會

Self-study textbook for Junior Secondary School
(Algebra Chapters 1 to 16)
Free download for students


To promote the idea that "Mathematics is not taught but learnt", the Chiu Chang Mathematics Education Foundation from Taiwan publishes a new series of Junior Secondary School books designed for self-study purpose.

The English version of this series is translated from the original Chinese version. Thanks to the courtesy of a group of volunteers in Hong Kong, all the 16 chapters have now been translated and are available for free downloading worldwide by any students wishing to improve their mathematics standard.

Among the 16 chapters,
a) Chapters 1 to 8 are designed for Grade 7, with first 4 chapters to be studied in the first term and the second 4 chapters to be studied in the second term.
b) Chapters 9 to 12 are designed for the first term in Grade 8,
c) Chapters 13 to 16 are designed for the second term in Grade 9.

It is believed that the 16 chapters cover all required topics of a junior secondary mathematics in many countries, although the exact order of chapters may vary slightly from country to country.

Here are some suggestions for students and parents on how to use this self-study for maximum benefit.

1. Suggestions for junior secondary students:

Regardless of your mathematics level, if you can spend 4 hours each day to learn by yourself using this book, we can assure you that you will drastically improve your mathematics abilities beyond your expectation.

This book is developed based on a series of mathematical concepts, aiming to build solid foundation of mathematics knowledge and practice.

You must honestly carry out the steps and methods suggested in the book. You may feel some difficulty initially, but gradually within a short period of time, you will find your mathematics power improving and becoming more proficient with time.

As the examples and exercises in this book have been carefully designed, the level of difficulty is gradually boosted up. It is absolutely possible for students to self-study, without seeking teachers’ or tutors’ guide in learning and understanding mathematics.

Although the exercises in the book may exceed the volume of exercises found in most textbooks, it is important that students should patiently work out each exercise.

You may wish to know the reason for Asian students as generally having higher standard in mathematics than their counterparts in other countries, it is due to their exposure to comparatively larger volume of exercises.

It is suggested that students, among themselves, form groups that they can better study, learn, discuss and encourage each other in the process.

2. Suggestions for parents of junior secondary students:

If the mathematics ability of your child in school is high, a good way to achieve higher success is to maintain your child’s academic excellent results and simultaneously raise the standard of mathematical abilities. Possessing higher mathematical ability is beneficial for advancing to the senior secondary level in future.

If the mathematics ability of your child in school is average, marginal, or below the passing grades, there is no much use engaging a tutor or sending the child to a tutoring school for one reason or another. The best method is to require your child to self-study this book, giving him/her an avenue to restore his/her confidence in thinking that there is a way he/she can gradually become an excellent student in his/her mathematics class.

If your child can find some good friends to study and discuss the book’s exercises as a group, you as parents must find way to help look for convenient time and place for them to do the group study. You should also support by monitoring their progress from time to time.

If your child's mathematics ability has improved to grade A or above, we would suggest encouraging your child to study more by giving extrinsic motivation, like a reward system.

Since the launching of this book, there has been over a thousand students downloading it online for self-study. Currently, there are many students who carry out our suggestion to self-study the book and achieve significant improvement. We wish your child’s mathematical abilities will improve and soar high as well.


Chapter 1 Rational Numbers
(This chapter is translated to English by courtesy of Mr. Hymen LAM and reviewed by courtesy of Mr. SIN Wing Sang, Edward.)
Chapter 2 Addition and Subtraction of Integral
(This chapter is translated to English by courtesy of Mr. LAI Kit Ming, and reviewed by courtesy of Mr. SIN Wing Sang, Edward.)
Chapter 3 Linear Equations in One Unknown
(The chapter is translated into English by courtesy of Mr. SIN Wing Sang, Edward and reviewed by courtesy of Ms. YIK Kwan Ying.)
Chapter 4 Linear Inequalities in One Unknown
(The chapter is translated by courtesy of Mr. LAI Kit Ming, and reviewed by courtesy of Mr. SIN Wing Sang, Edward.)
Chapter 5 Simultaneous Linear Equations
(This chapter is translated by courtesy of Mr. SIN Wing Sang, Edward, and reviewed by courtesy of Ms. YIK Kwan Ying.)
Chapter 6 Multiplication and Division of Integral Expressions
(This chapter is translated to English and reviewed by courtesy of Mr. SIN Wing Sang, Edward.)
Chapter 7 Factorization
(This chapter is translated to English by courtesy of Ms. YIK Kwan Ying, and reviewed by courtesy of Mr. SIN Wing Sang, Edward.)
Chapter 8 Fractions
(This chapter is translated to English by courtesy of Mr.WONG Chun Hong, and reviewed by courtesy of Mr. SIN Wing Sang, Edward.)
Chapter 9 Square Root of Number
(This chapter is translated to English by courtesy of Mr. Hymen LAM and reviewed by courtesy of Mr. SIN Wing Sang, Edward.)
Chapter 10 Surds (Radicals)
(This chapter is translated to English by courtesy of Mr. Pan NG and reviewed by courtesy of Mr. SIN Wing Sang, Edward.)
Chapter 11 Quadratic Equations
(This chapter is translated to English by courtesy of Ms. YIK Kwan Ying, and reviewed by courtesy of Mr. SIN Wing Sang , Edward.)
Chapter 12 Indices
(This chapter is translated to English and reviewed by courtesy of Mr. SIN Wing Sang, Edward.)
Chapter 13 Common Logarithm
(This chapter is translated to English by courtesy of Mr. Hyman Lam and reviewed by courtesy of Mr SIN Wing Sang Edward.)
Chapter 14 Functions and their graphs
(This chapter is translated to English by courtesy of Mr. Hyman Lam and reviewed by courtesy of Mr SIN Wing Sang Edward.)
Chapter 15 Solving Triangles
(This chapter is translated to English by courtesy of Mr. Robert Wong and reviewed by courtesy of Mr. SIN Wing Sang, Edward.)
Chapter 16 Introduction to Statistics
(This chapter is translated to English by courtesy of Mr. Pan NG and reviewed by courtesy of Mr. SIN Wing Sang, Edward.)




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