數學科
宗旨
為使學生能夠在這個科技與資訊發達的社會從容地應付日後在升學、工作或日常生活方面對數學的需求，並對終身學習有充足的準備，本課程旨在培養學生以下的能力及態度：
(a) 批判性思考、創意、構思、探究及數學推理的能力，以及利用數學來建立及解決日常生活問題、數學問題、及其他有關學科的問題的能力；
(b) 與別人溝通及能以數學語言清楚和邏輯地表達意見的能力；
(c) 運用數字、符號及其他數學物件的能力；
(d) 建立數字感、符號感、空間感及度量感和鑑賞結構和規律的能力；
(e) 對數學學習採取正面的態度，以及從美學和文化的角度欣賞數學的能力。
Objectives
To enable students to cope confidently with the mathematics needed in their future studies, workplaces or daily life in a technological and information-rich society, so that each student is ready for lifelong learning, the mathematics curriculum aims at developing in students:
(a) the ability to think critically and creatively, to conceptualize, inquire and reason mathematically, and to use mathematics to formulate and solve problems in daily life as well as in mathematical contexts and other disciplines;
(b) the ability to communicate with others and express their views clearly and logically in mathematical language;
(c) the ability to manipulate numbers, symbols and other mathematical objects;
(d) number sense, symbol sense, spatial sense and a sense of measurement as well as the capability of appreciating structures and patterns;
(e) a positive attitude towards mathematics learning and the capability of appreciating the aesthetic nature and cultural aspect of mathematics.
年度計劃
推動自主學習、發展天賦才能
Annual Plan
Promote Self-directed Learning, Develop Talents
課程內容
初中數學課程的學習單位 | ||
數與代數範疇 | 度量、圖形與空間範疇 | 數據處理範疇 |
1. 基礎計算 2. 有向數 3. 近似值與數值估算 4. 有理數與無理數 5. 百分法 6. 率、比及比例 7. 代數式 8. 一元一次方程 9. 二元一次方程 10. 整數指數律 11. 多項式 12. 恒等式 13. 公式 14. 一元一次不等式 | 15. 量度的誤差 16. 孤長和扇形面積 17. 立體圖形 18. 求積法 19. 角和平行線 20. 多邊形 21. 全等三角形 22. 相似三角形 23. 四邊形 24. 三角形的心 25. 畢氏定理 26. 直角坐標系 27. 三角學 | 28. 數據的組織 29. 數據的表達 30. 集中趨勢的度量 31. 概率 |
高中數學課程的學習單位 | |||
數與代數範疇 | 度量、圖形與空間範疇 | 數據處理範疇 |
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1. 一元二次方程 2. 函數及其圖像 3. 指數函數與對數函數 4. 續多項式 5. 續方程 6. 變分 7. 等差數列與等比數列及其求和法 8. 不等式與線性規畫 9. 續函數圖像 | 10. 直線方程 11. 圓的基本性質 12. 軌跡 13. 圓方程 14. 續三角學
| 15. 排列與組合 16. 續概率 17. 離差的度量 18. 統計的應用及誤用
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Curriculum Content
Learning Units of Junior Secondary Mathematics Curriculum | ||
Number and Algebra Strand | Measures, Shape and Space Strand | Data Handling Strand |
1. Basic computation 2. Directed numbers 3. Approximate value and numerical estimation 4. Rational and irrational numbers 5. Using percentages 6. Rates, ratios and proportions 7. Algebraic expressions 8. Linear equations in one unknown 9. Linear equations in two unknowns 10. Laws of integral indices 11. Polynomials 12. Identities 13. Formulae 14. Linear inequalities in one unknown | 15. Errors in measurement 16. Arc lengths and areas of sectors 17. 3-D figures 18. Mensuration 19. Angles and parallel lines 20. Polygons 21. Congruent triangles 22. Similar triangles 23. Quadrilaterals 24. Centres of triangles 25. Pythagoras’ theorem 26. Rectangular coordinate system 27. Trigonometry | 28.Organisation of data 29.Presentation of data 30. Measures of central tendency 31. Probability |
Learning Units of the Compulsory Part of Senior Secondary Mathematics Curriculum | ||
Number and Algebra Strand | Measures, Shape and Space Strand | Data Handling Strand |
1. Quadratic equations in one unknown 2. Functions and graphs 3. Exponential and logarithmic functions 4. More about polynomials 5. More about equations 6. Variations 7. Arithmetic and geometric sequences and their summations 8. Inequalities and linear programming 9. More about graphs of functions | 10. Equations of straight lines 11. Basic properties of circles 12. Loci 13. Equations of circles 14. More about trigonometry
| 15. Pemutations and combinations 16. More about probability 17. Measures of dispersion 18. Uses and abuses of statistics
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活動和成就 (Activities and Achievements)
小組名單
小組名單 陳雄基老師 陳慧敏老師 賴美鳳老師 林燦偉老師 羅敏儀老師 馬麗霞老師 莫啟聰老師 彭曉心老師 成佩珊老師 謝子龍老師 衞家寶老師 袁銘德老師 | Panel Members Mr. Chan Hung Kei Miss Chan Wai Man Miss Lai Mei Fung Mr. Lam Charm Wai Miss Law Man Yee Miss Ma Lai Har Mr. Mok Kai Chung Miss Pang Hiu Sum Miss Sing Pui Shan Mr. Tse Tsz Lung Miss Wai Ka Po Mr. Yuen Ming Tak |
網上資源 (Useful Resources)
香港教育城 (hkedcity)
https://www.hkedcity.net/teacher/subject/math
教育局 (Education Bureau)
https://www.edb.gov.hk/tc/curriculum-development/kla/ma/res/index.html
昌爸工作坊
邵逸夫數學科學獎 (The Prize in Mathematical Sciences)
https://www.shawprize.org/tc/prizes/mathematical-sciences
Shing-Tung Yau 丘成桐
Fields medal in Mathematics 華人菲爾茲獎Fields medal 得主
Wolf Price in Mathematics 華人沃爾夫數學獎得主
https://zh.wikipedia.org/wiki/%E4%B8%98%E6%88%90%E6%A1%90
Shiing-shen Chern 陳省身
Wolf Price in Mathematics 華人沃爾夫數學獎得主