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Outreach for High Schools

Multidimensional Mathematical Minds (M^3) Programme

數智多維計劃

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About the Programme Course Structure and Details Teachers Target Students and Screening

Assessment Course Fee and Scholarship FAQs Apply Now

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iconAbout the Programme|關於本計劃 

The M3 (Multidimensional Mathematical Minds) Programme is organised by the Department of Mathematics of the Faculty of Science at The University of Hong Kong (HKU). It mainly aims at gifted local junior secondary school students with a strong passion for mathematics. Its objectives are as follows:
 
  • To broaden the horizons of students in mathematics.
  • To solidify students’ mathematical knowledge base and enhance their problem-solving skills in mathematics.
  • To provide an environment of learning mathematics that is fun, challenging, professional, and with teacher and peer support.
     
The programme will prepare students for their pursuit of mathematics in various ways. Students will find the knowledge and skills in the programme helpful when they subsequently engage in problem-solving activities, pursue further studies or conduct research in mathematics or related areas.
 
數智多維計劃 (Multidimensional Mathematical Minds) 由香港大學理學院數學系主辦,主要對象為熱愛數學的本地初中資優學生。計劃的目標包括:
 
  • 擴展學生的數學視野;
  • 鞏固學生的數學知識基礎,並提升其數學解題能力;
  • 提供一個有趣、具挑戰性和專業的學習氛圍,讓學生在導師和同儕的支持下學習數學。
 

本計劃將從不同層面幫助學生研習數學,所學的知識和技巧將有助學生將來在數學或相關領域進行解題、進修或學術研究。

iconCourse Structure and Details|課程結構及詳情 

The course consists of multiple modules to be offered on a recurring basis, each focusing on one particular area of mathematics. Applicants are free to enrol in one or multiple modules. Normally, a module will consist of five 3-hour class sessions held during school holidays or weekends. Built upon what will generally be covered in the junior secondary curriculum, the programme intends to go both broader and deeper into the topics by introducing further knowledge not normally covered in the curriculum and engaging students in solving related problems that may require creative and ingenious skills.
 
Classes will be held at the HKU campus. English will be used as the medium of instruction.
 
課程由不同單元組成,每個單元圍繞一個數學專題,各單元會不定期輪流重推。申請人可自由選擇報讀一個或多個單元。每個單元通常由五節、每節三小時的課堂組成,課堂安排在學校假期或週末進行。本計劃希望在常規初中課程的基礎上,讓學員更廣泛和深入地認識相關課題,包括引入常規課程以外的進一步知識,並引導學員運用創新和靈活的技巧來解題。
 

課堂將於香港大學校園內進行,並以英語授課。

 

Details of upcoming modules

Module topicNumeral systems
Teacher Dr LAW Ka Ho (Lecturer, Department of Mathematics, HKU)
Date 14, 15, 16, 17, 18 Jul, 2025
Time 2:00 pm - 5:00 pm
PrerequisitesUnderstanding of the base 10 system
Some knowledge of other numeral systems, such as base 2 or base 16
Contents  Common numeral systems
Various numeral systems in real life
Not-so-common but interesting numeral systems 
Solving problems related to numeral systems

 

Module topicTriangles
Teacher Dr CHING Tak Wing (Lecturer, Department of Mathematics, HKU)
Date 4, 5, 6, 7, 8 Aug, 2025
Time 9:30 am - 12:30 pm
PrerequisitesBasic understanding of angles, lengths, parallel lines,  perpendicular lines and triangles      
Contents  Angles
Congruent triangles
Similar triangles
Pythagoras’ theorem
Solving geometry problems related to triangles

 

Module topicPolynomial equations
Teacher Dr TSANG Fai Lung (Assistant Lecturer, Department of Mathematics, HKU)
Date9:30 am - 12:30 pm
Time     18, 19, 20, 21, 22 Aug 2025
Prerequisites Concept of equations
Solving linear equations in one unknown
Contents

Solving quadratic equations (with or without absolute values)
Solving quadratic inequalities (with or without absolute values)
Roots of quadratic equations and related geometry
Simultaneous linear/quadratic equations
Higher order polynomial equations    
Complex numbers, roots of unity and related geometry


Some future modules:

●    Elementary number theory
●    Coordinate geometry
●    Counting
●    Trigonometry

For the launch dates of the above modules, please refer to the latest updates on this programme website.

 

即將推出的單元

單元主題數制
導師羅家豪博士(香港大學數學系講師)
日期  2025 年 7 月 14, 15, 16, 17, 18 日
時間 下午 2 時至 5 時


  (有關此單元的先備知識及內容,請參閱英文版)  
 

單元主題三角形
導師程德永博士(香港大學數學系講師)
日期  2025 年 8 月 4, 5, 6, 7, 8 日
時間 上午 9 時 30 分至中午 12 時 30 分


  (有關此單元的先備知識及內容,請參閱英文版)  
 

單元主題多項式方程
導師曾飛龍博士(香港大學數學系助理講師)
日期  2025 年 8 月 18, 19, 20, 21, 22 日
時間 上午 9 時 30 分至中午 12 時 30 分


  (有關此單元的先備知識及內容,請參閱英文版)  

稍後推出的部分單元:

●    基礎數論
●    座標幾何
●    數算
●    三角學

有關以上述單元的推出日期,請留意本計劃網頁的最新更新。

iconTeachers|師資 

Each module will be taught by a teacher in the Department of Mathematics or a guest teacher with a similar academic background. 
 
Dr LAW Ka Ho, Associate Head (Teaching and Learning) of the Department of Mathematics, is the Programme Coordinator, and Dr CHING Tak Wing, Lecturer in the Department of Mathematics, is the course leader.
 
每個單元均由一名數學系的老師或一名具同等學術背景的外聘導師任教。
 
數學系副系主任(教學)羅家豪博士擔任計劃統籌,數學系講師程德永博士則擔任課程主任。    

iconTarget Students and Screening|對象學生及選拔 

The programme generally targets junior secondary school students in Hong Kong (Secondary 1-3 / Year 8-10 / Grade 7-9) with strong interests and talents in mathematics. Different prerequisite requirements may exist for different modules as each module focuses on a different topic.
 

Each module will be limited to 30 students to ensure they receive the necessary individual support.

 
Students should take a screening test before enrolment and specify one or more modules they wish to take when applying for the screening test. (Students only need to sit for the screening test once, regardless of the number of modules they wish to take.)
 
Screening tests will be held four times a year, and the result of each screening test will be valid for 12 months. 
 
Each secondary school may nominate up to 10 students for each screening test. Students nominated by their school may take the screening test for free. A fee of HK$200 will be charged for students who apply individually to take a screening test.
 

本計劃主要招收對數學具有濃厚興趣和天份的本地初中生(中一至中三 / 英國學制八至十年級 / 美國學制七至九年級)。視乎各單元的課題,個別單元可能會有先備知識要求。

 

為確保每位學員得到充分的個人支援,每個單元的收生上限為 30 人。

 

學員報名前須先參加選拔測驗,並在報考時選擇一個或多個希望報讀的單元。(不論報讀單元數量,只需應考一次選拔測驗。)

 

選拔測驗每年舉辦四次,成績有效期為 12 個月。

 

每所學校每次可提名最多 10 名學生參加選拔測驗。獲學校提名的學生可免費參加,其他個人報名參加選拔測驗的學生則需繳付港幣 200 元參加費用。

 

Schedule and Details of Screening Tests

No special preparation is recommended for the screening test. It is common for candidates to find that they don’t know some questions, as the test is meant to have a comprehensive assessment of students’ knowledge in different areas of mathematics. There is no need to worry about it. Since different modules demand different prerequisite knowledge, each question will have different weightings when students apply for different modules.
 
Using calculators is not allowed, and candidates are normally not required to show their calculation steps. 
 
The result of a screening test will be valid for 12 months. A student who wishes to enrol in a module more than 12 months after taking a screening test will be required to sit for the screening test again.
 
Schedules of the upcoming screening tests:

April 21, 2025 (Monday)  2:30 pm - 4:30 pm

July 2, 2025 (Wednesday) 4:00 pm - 6:00 pm

General flow of each screening test:

2 weeks before the test

1 week before the test

1 week after the test

Deadline for application

Detailed arrangements to be notified via email

Results to be notified via email

    
(Applicants taking the screening test on July 2, 2025 can make it for the ‘Numeral systems’ module starting on July 14, 2025.)
 
The next screening tests are scheduled for October 2025 and January 2026. Please visit this programme website for the exact dates and the latest updates.

選拔測驗時間表及詳情
我們建議考生毋須特意準備選拔測驗。選拔測驗旨在全面評估學員在不同數學範疇的知識,大部份考生可能會遇到無法作答的題目,無需因此過於擔心。由於每個單元有不同的先備知識要求,測驗中每道題的比重可能會因報讀單元而有所差異。
 
測驗不允許使用計算機。一般情況下,考生無須列出計算步驟。
 
選拔測驗的成績於 12 個月內有效。如學生在選拔測驗後超過 12 個月希望再報讀課程,需再次參加選拔測驗。
 
即將舉辦的選拔測驗日期如下:

4 月 21 日(星期一)下午 2 時 30 分至 4 時 30 分

7 月 2 日(星期三)下午 4 時至 6 時

選拔測驗的一般流程如下:

選拔測驗前 2 星期

選拔測驗前 1 星期

選拔測驗後 1 星期

截止報名

電郵通知參加者有關安排

電郵通知參加者選拔結果

 
(參加 7 月 2 日選拔測驗的學生,仍可趕及報讀於  7 月 14 日開課的「數制」單元。)
 
隨後的兩次選拔測驗將於 2025 年 10 月及 2026 年 1 月舉行。有關其確實日期,請留意本計劃網頁的最新更新。

iconAssessment|評核 

Assessment will primarily be based on the test held at the last class session of each module. Performance in coursework assessment, such as in-class activities and take-home assignments, may also be considered. No make-up assessments will be arranged for students missing them.
 
Subject to meeting the attendance requirement (missing not more than one class in a module, supplementary lessons excluded), each student will be awarded one of the following certificates upon completion of a module based on their assessment results:
 
  • Certificate of Distinction is awarded to students who demonstrate a thorough understanding of the topic and the ability to apply it to solve complex or unseen problems.
  • Certificate of Merit is awarded to students who demonstrate a basic understanding of the topic and the ability to apply it to solve related problems.
  • Certificate of Completion is awarded to students who can solve standard problems learned in the module.
  • Certificate of Attendance is awarded to other students who meet the attendance requirement but do not meet the performance criteria for the above certificates.
 
每個單元的最後一節課設有測驗作為課程評核的主要部份,此外,學員在課程期間的表現(例如課堂活動與作業)亦可能納入為參考。所有評核不設補考。
 
若符合出席要求(每個單元缺席不超過一節課,不計算因課堂取消而補課中的缺席),學員可按其評核表現獲得以下其中一張證書:
 
  • 優異證書:學員能展現對課題的深入理解,並能應用於解決複雜或陌生的難題。
  • 良好證書:學員能展現對課題的基本理解,並能應用於解決相關問題。
  • 完成證書:學員能解答該單元中學過的標準題型。
  • 出席證書:其他符合出席要求但未達以上標準的學員。

iconCourse Fee and Scholarship|學費及獎學金 

The course fee is HK$4,000 per module. Course fees are non-refundable. Full scholarship (in the form of a 100% reduction of course fee in one module) and half scholarship (in the form of a 50% reduction of course fee in one module) will be offered on the basis of needs and performance, as follows:
 
Channel of awardNeeds-basedPerformance-based
Method of applicationMake an application when applying for the screening test, along with relevant supporting documentsNot required; 
automatically awarded when conditions are met
Condition for full scholarshipA student under the Comprehensive Social Security Assistance (CSSA) or School Textbook Assistance Scheme (Full Fee)Obtaining a Certificate of Distinction in a module
Condition for half scholarshipA student under the School Textbook Assistance Scheme (Half Fee)Obtaining a Certificate of Merit in a module
Number of awards  One (limited to those who apply to take the screening test for the first time)Unlimited
Period of validityOne year (from the time of award, valid for enrolment in one module with the stated fee reduction)

 

每單元的學費為港幣 4,000 元。學費不可退還。本計劃另設全額獎學金(減免一個單元學費的 100% )和半額獎學金(減免一個單元學費的 50%),獎學金並分為按需要及按表現頒發兩種,詳情如下: 
 
獲獎途徑按家庭需要按報讀單元表現
申請方法報考選拔測驗時提出,並遞交相關證明文件毋須申請,符合資格者自動獲獎
全額獎學金獲獎條件綜合社會保障援助計劃或學校書簿津貼計劃(全費)的受助者在某單元獲頒優異證書
半額獎學金獲獎條件學校書簿津貼計劃(半費)受助者在某單元獲頒良好證書
獲獎次數一次(限首次報考選拔測驗者)不限
有效期一年(通知獲獎起計,一年內報讀一個單元可獲相關減免)

 

iconFrequently Asked Questions|常見問題

The programme generally targets junior secondary school students in Hong Kong. Can younger/older students apply?
計劃主要對象為本地初中生。年級較低或較高的學生能否報讀?

In principle, yes. Such applications will be considered on a case-by-case basis. However, with other factors identical, priority will be given to junior secondary school students.
原則上可以,我們會個別考慮有關申請。然而,在其他條件相同的情況下,我們會優先取錄就讀初中的學生。

 

The programme generally targets junior secondary school students in Hong Kong. I am not studying in Hong Kong but will be in Hong Kong for a certain period. Can I apply for a module during this period?
計劃主要對象為本地初中生。我並非在香港就讀,但某段時間會身處香港。我可以在這段時間報讀一個單元嗎?

In principle, yes, subject to satisfying the other requirements. However, if you are not a Hong Kong citizen, you should check carefully whether your conditions of stay permit you to take a course in Hong Kong.
在符合其他條件的前題下,原則上是可以的。然而,如果你不是香港居民,請小心查看你的逗留條件是否容許你在香港報讀課程。
 

If I do not possess some prerequisite knowledge in a module, can I still apply?
如果我未備有某一單元中的部份先備知識,仍可報讀該單元嗎?

In principle, yes. We will review your screening test result and decide whether you can be admitted. If you are offered a place, you are recommended to learn the prerequisites before the module starts.
原則上可以,我們會按你在選拔測驗中的表現決定是否取錄。如果你獲得取錄,我們建議你在單元開始前先學習相關的先備知識。

 

I applied for a module but was not admitted. Does it mean that I will not get admitted to other modules either?
我報讀某一單元不獲取錄,是否表示報讀其他單元也不會獲得取錄?

Not necessarily. The requirements for different modules may vary, so you may be admitted for other modules. Furthermore, it is possible that you did not get admitted to a certain module due to oversubscription rather than because you did not satisfy the requirements.
不一定。不同單元或有不同的要求,因此你仍有可能在其他單元獲得取錄。此外,你在某一單元未被取錄亦有可能是因為報讀人數過多而非因為你未達所需水平。

 

Can I apply for a module on which I have already enrolled before?
可否再次報讀之前曾經報讀的單元?

Normally, we will not admit such applications, but in special circumstances, we will consider them on a case-by-case basis.
在一般情況下,這類申請不會獲得取錄。然而,如有特殊情況,我們會作個別考慮。

 

Can I get a refund of the course fee if I withdraw from a module before it begins?
若我在一個單元開始前退出,能否退回學費?

No. All fees paid are non-refundable unless the module is cancelled.
不能。除非該單元被取消,否則已繳款項將不獲退還。

Am I guaranteed a place after applying for a screening test?
報考選拔測驗是否保證能夠出席?

We will try to accommodate as many applicants as possible. In case we are not able to accommodate everyone, we will contact applicants for alternative arrangements.
我們將盡可能讓申請人參加選拔測驗。然而,如果實在無法容納所有人,我們會通知申請人作其他安排。

 

What language is used in the screening test?
選拔測驗採用甚麼語言?

English.
英語。
 

Can I take the screening test again before the result of the previous screening test expires in one year's time?
在上一次選拔測驗成績一年有效期屆滿前,能否再次報考?

Yes. However, for an applicant who has taken the previous three rounds of screening tests, an application fee of HK$200 will be charged regardless of whether it is a school nomination or an individual application. (For example, for someone who has taken the Apr 2025 screening test, the fee is payable if he/she applies for the screening test in Jul 2025, Oct 2025 or Jan 2026.)
可以。然而,不論是學校提名還是個人報名,凡曾報考之前三次的選拔測驗者再次報考,均需繳付港幣 200 元的參加費用。(例如:若已報考 2025 年 4 月的選拔測驗,則若在 2025 年 7 月、2025 年 10 月或 2026 年 1 月再次報考,均需繳付費用。)

 

If I have taken the screening test more than once, which result will count towards admission to modules?
如果我曾應考選拔測驗超過一次,取錄時會考慮哪一次的成績?

Only the latest result will count.
只有最新一次的成績會被計算。
 

What is the coverage of the screening test?
選拔測驗的範圍是甚麼?

There is no specific coverage. The questions will involve various topics in mathematics at various levels.
測驗不設特定範圍,問題將牽涉多個不同數學範疇,亦會牽涉不同年級的知識水平。
 

What is the format of the screening test?
選拔測驗的形式是怎樣的?

It is a written test with no specific format. In general, the questions will be answer-only questions without the need to explain or show detailed steps.
測驗以筆試形式進行,唯試題沒有特定形式。一般情況下,答題時均不會要求附以解釋或列出計算步驟,只需寫出答案便可。
 

Are calculators or other computational tools allowed in the screening test?
選拔測驗中可以使用計算機或其他計算工具嗎?

No.
不可以。

 

How should I prepare for the screening test?
我應如何準備選拔測驗?

We recommend that no special preparation is needed. Just answer as many questions as you can. It is normal that there are questions you don't know, as the test aims to find out how much you know.
我們建議毋須特別準備,只需盡力作答。選拔測驗的目的旨在評核你的知識水平,因此遇上不會作答的題目實屬正常。

Does sick leave count as missing a class?
病假視為缺席嗎?

Yes. All absences will be counted, except for absences in supplementary lessons that result from the cancellation of classes.
是的,各種原因的缺席均會計算在內,唯一的例外是因課堂取消而補課中的缺席。

 

Does late arrival count as missing a class?
遲到視為缺席嗎?

A late arrival by more than 1 hour will be regarded as absent. Accumulated late arrivals and early departures that amount to more than 1 hour will also be regarded as missing a class.
遲到超過 1 小時將被視為缺席。在不同課堂中,累積遲到或早退超過 1 小時,亦會被視為缺席一次。


Does early departure count as missing a class?
早退視為缺席嗎?

Early departure by more than 1 hour will be regarded as absent. Accumulated late arrivals and early departures that amount to more than 1 hour will also be regarded as missing a class.
早退超過1 小時將被視為缺席。在不同課堂中,累積遲到或早退超過 1 小時,亦會被視為缺席一次。

 

Will I get a certificate of attendance if I miss the last class (the test)?
如果我在最後一節課(測驗)缺席,能獲得出席證書嗎?

Yes, provided that you have attended all the previous classes.
可以,前題是你出席了之前的所有課堂。

If I get a distinction/merit in one module, can I claim the scholarship in the same module by getting a refund?
如果我在某一單元中取得優異證書或良好證書,能否即時獲取獎學金,即從同一單元的學費中取得回贈?

No. The scholarship can only be used in future modules.
不可以。獎學金只可用於報讀之後的單元。

 

Can I combine two half scholarships into a full scholarship?
可否把兩個半額獎學金合併成一個全額獎學金?

No. Two half scholarships must be used in two different modules.
不可以。兩個半額獎學金須分別用於報讀兩個不同的單元。

 

I am applying for a needs-based scholarship along with applying for a screening test. If I fail to get a place in any module, is the scholarship still valid?
我在報考選拔測驗時同時申請了按家庭需要頒發的獎學金。如果我不獲任何一個單元取錄,該獎學金是否仍然有效?

A needs-based scholarship will be awarded the first time you are admitted to a module. If you don't get admitted to any module, the scholarship is still valid, and you may still use it to apply to other subsequent modules.
按家庭需要頒發的獎學金會在你首次獲得取錄於某一個單元時發放。如果你未獲任何單元取錄,該獎學金仍然有效,你仍可於較後時間報讀其他單元時使用。

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M3 Programme Flyer

Multidimensional Mathematical Minds (M3Programme Flyer
數智多維計劃宣傳單張

 
 
Apply Now | 立即報名:https://bit.ly/M3_Reg 

Application Deadline | 截止報名日期:

April 7, 2025 (Monday)
2025年4月7日(星期一)

(for the first screening test I 第一次選拔測驗)

Enquiry | 查詢:

Ms Chan 陳女士
Department of Mathematics 
Tel: 3917 2259 

Email: elite@maths.hku.hk


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