The Mathematics Project Competition for Secondary Schools is organised by the Mathematics Education Section, Curriculum Development Institute, Education Bureau. It aims at promoting students’ interest in learning Mathematics and developing students’ generic skills through project learning. The competition comprises two categories: Category A (Junior secondary project) and Category B (S1 mini-project).
CHING Helen
LI Ruyi
XIAO Jiaqi
YEUNG Man-yan Grace
LIU Zuri Jade
Level
Junior Secondary
Award
Champion and Best Presentation (Junior secondary project)
Awarded work
Brouwer's Fixed Point Theorem: Finding a Fixed Point in Triangles and Extension to Quadrilaterals
Theme of the Portfolio
Introduction
The project aims at finding the location of the fix point of two similar figures by using the concept of Brouwer’s Fixed Point Theorem. Based on knowledge of similar triangles and concyclic quadrilaterals, the team proved that the fix point is the point of intersection of three circumcircles constructed on the sides of the triangles, where each of the circles passes through one pair of corresponding vertices, and the point of intersection between two extended sides of the triangle. The method was extended to parallelograms and trapeziums, and other special cases.
Awarded work
LI Ho-kwan
WU Yiu-cho
ZENG Yu-wai
Level
Junior Secondary
Award
1st Runner-up (Junior secondary project)
Awarded work
Investigation on the Generalization of Pick's Formula
Theme of the Portfolio
Introduction
This project focuses on the investigation of Pick’s formula, how to proof the original Pick’s formula on square lattice system. The project also conduct proof on the extension of Pick’s formula on isometric lattice system. This project has also done a generalization of Pick’s formula for polygons with non-touching holes. The common use of isometric system on the projection of solids draws the attention on the study of the application of Pick’s formula on crystallography.
Awarded work
CHAN Clinton Denzel Pak-hei
HUANG Kui-lam Angus
LEE Inna Belle
LIM Hiu-kwan Anson
LO Chun-lam
Level
Junior Secondary
Award
2nd Runner-up (Junior secondary project)
Awarded work
Foundations of Junior Secondary Pure Geometry --- (Re-)constructed from Junior Secondary Students' Perspectives
Theme of the Portfolio
Introduction
The project aims at constructing a foundation of junior secondary pure geometry suitable to read for junior students or elementary geometry learners. Being different from but also inspired by the systems in Euclid’s Elements and Hilbert’s Foundations of Geometry, the team have strived to keep our work easy to understand intuitively but still sufficiently rigorous to prove the results regarding straight lines, parallel lines and congruent triangles, rather than aiming to lay a foundation with the least number of axioms possible as in these two classics.
Awarded work
CHAN Man-chun
CHIU Yat-ting
YIU Ho-man
Level
Junior Secondary
Award
Outstanding Performance (Junior secondary project)
Awarded work
淺談井字過三關
Theme of the Portfolio
Introduction
Please refer to the Chinese webpage
Awarded work
IP Ming-hin
MAK Ho-long Alvin
PANG Hung-yu
WANG Ming-wai Emily
WEI Jenny
Yip Wing-hong Wallace
Level
Junior Secondary
Award
Outstanding Performance (Junior secondary project)
Awarded work
海倫三角形尋根之旅
Theme of the Portfolio
Introduction
Please refer to the Chinese webpage
Awarded work
CHAN Hiu-tsung
CHEN Wan-sum
LI Tsz-muk
MA Hau-wing
SHI Wai-yi
ZHONG Tsz-shan
Level
Junior Secondary
Award
Outstanding Performance (Junior secondary project)
Awarded work
連續三角形列上的面積問題
Theme of the Portfolio
Introduction
Please refer to the Chinese webpage
Awarded work
CHAN Pui-kei
HO Pui-fei
WONG Kaylie
XU Jiayan
ZHENG Ziling Linnie
Level
Junior Secondary
Award
Outstanding Performance and Mathematical Modelling Award(S1 mini-project)
Awarded work
An Investigation on University Applications using Mathematical Modelling
Theme of the Portfolio
Introduction
We designed a formula to give a percentage that reflects the chance of admission to the 20 university programs. Afterwards, we evaluated the overall competitiveness of the university application by taking into account the advice given to applicants as to what makes a good application. We shall then give suggestions for improving the application. Finally, we made a comparison on whether it is easier to enter a university course via JUPAS (with HKDSE results) or non-JUPAS (with GCE A Level results).
Awarded work