This, therefore, is Mathematics: she reminds you of the invisible form of the soul; she gives life to her own discoveries; she awakens the mind and purifies the intellect; she brings light to our intrinsic ideas; she abolishes oblivion and ignorance which are ours by birth.

-Proclus (410-485)

Mr. Guan is a well-known maths teacher in the Sydney area. As a former member of the James Ruse Agricultural High School mathematics faculty, he coordinated and coached students in maths competition activities in addition to instructing classes. Rather than simply rote-learning solutions to questions, he uses mathematics as a mental exercise to challenge students and build logical problem-solving skills using a variety of mathematical strategies.

Many school teachers consider HSC standards to be ‘too hard’, yet university lecturers consider this level inadequate preparation for students pursuing rigorous studies in sciences, engineering or mathematics. In order to develop students' mathematical abilities and prepare them for university level studies, Mr. Guan strives to help his hard-working students to exceed HSC standard.

He practices traditional teaching methods, which are systematic, effective and enjoyable. The success of his former students in his 20 years of teaching is a testament to the quality of his methods. Among their number are dozens who have achieved in the top 10 in 4 Unit HSC Mathematics along with three medallists in the prestigious International Maths Olympiad.

Mr Guan is proud that his students have gone onto achieve success and obtain respectable positions in our society.He believes in a holistic approach that equips young minds with the intellectual tools and strategies that will prepare them to succeed in their scholastic pursuits well beyond high school and university.

This class is the foundation course of high school study, which covers Algebra, Mensuration in 2D and 3D and Geometry reasoning. Symbolic computing skills and its application in Geometry are focused Euclidean Geometry is introduced.

This class aims on Coordinate Geometry, Linear, Quadratic Function and Polynomials for students to understand Functions in general. It also covers Basic Counting techniques like Combination and Permutation.

This class covers entire high school Trigonometry and also Exponential, Logarithm, Sequences, Series as well as inequality and Absolute Values Related. It makes all types of function ready before Calculus.

(It starts from term 3 this year 4:00-6:30 pm on Saturdays.)

This class is designed to use less solid maths knowledge, but more math strategies to motivate year 6 to year 8 new comers. It is fun and challenging. Most of the questions come from maths competitions and Chinese maths fun activities. It prepares students to step into formal Algebra and Geometry.

Like a university course, this class systematically covers Differentiation, Integration, Curve sketch, Max-min, Area, Volume by Integration, Differential Equation, Rate of change, Newton's cooling law etc. It also covers Binomial Expansion related and Maths Induction.

This class covers further Probability, Vector study, Integration technique. Resisted, Simple harmonic and Projectile motion are included as applications of Differential Equations. It also covers Complex Numbers and its application in Polynomials.

This class mainly is the final revision for students to prepare their HSC examination on all harder topics by harder questions. It also covers some little areas left unattended previously.

(It is set on 5:40 pm - 8:10 pm Thursdays. It starts on 28-01-2021 for a year.)

This class pri-requires our Base1, or equivalent, as the foundation to undertake. It focuses on developing students' algebraic transformation skills and Euclidean geometry reasoning ability to a master level. All questions are enjoyably hard and tricky, which are selected from various Chinese high school maths competitions.

All well educated people understand the importance of Euclidean Geometry and the power to reason. This class offers young mathematicians a room for imagination, creativity, and some treasure passed on generation by generation. These characteristics are unwisely ignored, mindlessly devalued, and long forgotten by today’s Western education systems. This class is an opportunity for maths gifted, maths lovers and the one who needs a strong mathematical mind in their further study. This class is a place where, students can contribute and inspirate each other by their different ways of thinking, which, asked by parents and students who can no longer bear the pointlessness of their school maths activities. This is absolutely, positively a wrong place, if you are just coming after a better school mark. The uselessness to the school work, is a property what this class meant to have.

The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of the highest excellence, is to be found in mathematics as surely as poetry.

-Bertrand Russell