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Beautiful Geometry 幾何之美

P4  - P6 Students

15 - 19 Jul 2019: 9am - 12pm

HKD 3,750

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Course Objectives

Students will work in groups and give an attempt to solve the following geometry problems:

  • Transformations of Planes and Equidcomposition of Areas

  • Geometry vs Algebra

  • Pythagoras’ Theorem

  • Properties of Polyhedron

  • Volume of Pyramid, Cone and Sphere

In addition, students will be able to:  

  • have hands-on experiences in some exploration activities, group discussion as well as interactions with the instructor in learning the captioned five topics in an interesting way;

  • initially grasp some ideas for the captioned topics;

  • apply those geometrical knowledge to the solution of some unfamiliar problems in geometry;

  • improve their problem solving and higher ordering skills through the learning activities;

  • improve their interpersonal and intrapersonal skills while they would collectively solve some challenging problems together; and

  • appreciate the beauty of mathematics and also perceive math learning to more fun and meaningful.

Course Description

What is mathematics? Calculation? Or loads of working steps? The aim of this course is to let students have an in-depth understanding towards geometry as well as how geometrical methods can be used to solve complicated algebraic problems in an easier way.

Topics that will be covered in the course include: 

  • How to find some formulas of areas of planes by using the basic concept of integration;

  • How to solve algebraic problems by Platonic solids & Euler’s formula;

  • Application of Pythagorean theorem in figures of 2-D figures and 3-D figures; and

  • Speculation of the formulae of finding volumes of pyramids and spheres.


After the course, students will know more about geometry in a wider and deeper way so that they would be able to appreciate the extraordinary charm of geometry in math.

Target Participants / Prerequisite​

P4-P6 students  

  • High scores obtained in all summative assessments of Math in P. 3, P. 4 or P. 5

  • Obtaining any award in local or international math competitions

  • Good conduct


Course Instructor

Mr. Anderson KWAN

Anderson KWAN (Cert.Ed., B.Sc., M.Sc., M.Ed., MACE), who seconded to Mathematics Education Section of Education Bureau (EDB) for 2 years, is an adjudicator of EDB Math Book Report Competition since 2009, a focus and working group member of EDB Digital Depository (Math) from 2009 to 2013. 

In addition, he was also a founding member of the special interest group for Gifted Education, Creativity and Talent Development at HKU. Besides, he has acted as a course designer and tutor of gifted programmes held by HKU for several times as well as had a sharing to HKU M.Ed. students regarding gifted education. 

He was also a guest speaker invited by the Review and Planning Section of EDB as well as the Faculty of Education at HKU respectively to conduct a sharing to secondary teachers and HKU M.Ed. students how to conduct math lessons for junior form secondary students by English Medium Instruction. 

At last, he also publishes a journal in 2013 jointly written with a HKU associate professor regarding the design of the programmes about gifted education in Math in Gifted and Talented International Journal as well as another paper about the design rationale and implementation of mathematically gifted programs in 2019 School Mathematics Newsletter Vol. 22 published by Mathematics Education Section, Curriculum Institute, Education Bureau, Government of the Hong Kong Special Administrative Region. 

Medium of Instruction

Cantonese supplemented with English



·       平面的變換及面積的等分組成

·       幾何與代數

·       畢氏定理

·       多面體的特性

·       錐體、圓錐體及球體的體積



1.      透過參與課程內各項解難活動、分組討論及與導師的交流,使更具趣味來學習以上五個課題;

2.      初步理解以上五個課題的相關知識;

3.      應用相關幾何知識來解決不同情況下的幾何問題;

4.      提高其解難及高階思維能力;

5.      提高個人表達能力及與人溝通能力;

6.      欣賞數學之美及明白學習數學更具意義。





  • 需在需在小三、小四或小五取得優異的數學科成績;

  • 曾獲得任何本地或國際的數學比賽獎項;

  • 良好品德 



關先生獲取香港大學教育碩士、理碩士(電腦) 、理學士(工程) 、教育文憑及香港電腦教育學會專業會員。他曾以借調形式在教育局數學教育組工作兩年,並從2009年開始至今擔任教育局數學組數學閱讀報告比賽的籌委及評判之一。在2009年至2013年期間,他曾獲邀擔任教育局「課程為本學與教資源庫(數學) 」焦點及工作小組成員之一。









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