已經接獲釵h位家長來電詢問:子女平常在校成績甚佳,為何在環球城市數學競賽成績表現不理想或輸給在校成績較差者?
我們特提供加拿大亞伯達大學劉江楓教授給參賽者的一封信供大家參考。
The Tournament of the Towns is perhaps the second most prestigious international mathematics competitions for high school students, after the International Mathematical Olympiad.
In two important ways, the Tournament is a superior competition. First, any number of students can participate, whereas the Olympiad is limited to a maximum of six students from each country. Since the Tournament is written locally, the expenses involved are minimal. This allows a large number of students to enjoy a taste of high-level international competition. Second, the problems are composed by outstanding practitioners of the art. They are chosen purely on merit, unencumbered by other considerations. It is often frustrating in the Olympiad to see beautiful problems wasted because certain interest groups machinate against them for ulterior motives.
The Tournament is more like a mathematical laboratory than an examination, again in two important ways. First, there are no big prizes to win, and so far, there is no propaganda value attached to the event. Thus participants should not feel any undue pressure. Unlike an examination when the students are supposed to know everything on which they are tested, the Tournament is designed to challenge their creativity. They should not feel ashamed if they are unable to solve any of the problems, because this is what is expected. Thus students should feel proud if they manage to conquer even one problem. Second, a generous amount of time is allowed for the Tournament. The usual examination really tests students whether they can answer routine questions quickly and accurately. There is really no time to ponder how a particular question is to be approached. This nurtures a bad work habit in students who tend to give up too easily on problems that do not yield immediately to an attack. Herein lies the main reason why a large number of students do poorly in the Tournament. It is not for lack of talent or effort, but lack of experience. They must not expect to read the problem and be able to write down the solution right away. They must learn to experiment with the given conditions and try to discover patterns or foster inspiration. These are essential ingredients in a successful research career, and the students cannot start too soon on acquiring such experience.
International Mathematics Tournament of the Towns
Vice-president
Andy LIU
(環球城市數學競賽是僅次於國際奧林匹亞(IMO)第二個最具聲望的中學生國際數學競賽。
環球城市數學競賽是一個較優越的競賽,這可以從兩個重要方向來看。首先,大多數的學生都能夠參與這個競賽,而在國際奧林匹亞競賽中,每個國家卻侷限於最多六名學生有機會參加。因為環球城市數學競賽的試務是在各地自行舉辦的,所需的經費較少。這便允酗j量的學生來參與並享受一次高水準的國際競賽。第二,試題由具傑出經驗的專家所命題的。它的題目純粹因數學才能、趣味等因素而被選出來,不受其他因素干擾。但在IMO競賽中,則常見到一些漂亮的備選題因涉及各國爭取獎牌的隱秘動機,而被人策劃否決了。
環球城市數學競賽比較像是一種數學的實驗而非考試,同樣也可以由兩方面來看。首先,它沒有可能贏得大獎,目前為止也沒有什麼相關的宣傳價值。因此參賽者不會感到任何不適的壓力。不像一般考試,當學生受測時已經被假設他應該了解考試內容的一切知識。環球城市數學競賽是被設計用來挑戰參賽者的創造力,如果他們不能解答任何題目,他們不該因而感到羞恥,因為這是被預料中的結果。反過來說,學生能設法征服任一個問題得到一點分數,他們應該是感到光耀的。再者,環球城市數學競賽給予參賽者充足的時間來解題,而一般的考試只測驗學生能否迅速而精確的回答出制式的問題,他們確實沒有時間來思慮問題應該如何入手。久而久之,便養成學生面對無法立即克服的問題時,輕易地就宣告放棄的壞習慣,這也就是釵h學生在環球城市數學競賽中考的不好的主因。這並不是他們缺少天賦或者不夠努力,而是缺乏經驗。一般人通常無法在閱讀完問題後能立即把解答寫出來,他們必須學習去琢磨給定的條件,並試著去發現線索或產生靈感。這些都是成左漪膍s人員相當重要的基本奶牷A學生應該盡快學習。
環球城市數學競賽副主席 劉江楓)
我們特提供加拿大亞伯達大學劉江楓教授給參賽者的一封信供大家參考。
The Tournament of the Towns is perhaps the second most prestigious international mathematics competitions for high school students, after the International Mathematical Olympiad.
In two important ways, the Tournament is a superior competition. First, any number of students can participate, whereas the Olympiad is limited to a maximum of six students from each country. Since the Tournament is written locally, the expenses involved are minimal. This allows a large number of students to enjoy a taste of high-level international competition. Second, the problems are composed by outstanding practitioners of the art. They are chosen purely on merit, unencumbered by other considerations. It is often frustrating in the Olympiad to see beautiful problems wasted because certain interest groups machinate against them for ulterior motives.
The Tournament is more like a mathematical laboratory than an examination, again in two important ways. First, there are no big prizes to win, and so far, there is no propaganda value attached to the event. Thus participants should not feel any undue pressure. Unlike an examination when the students are supposed to know everything on which they are tested, the Tournament is designed to challenge their creativity. They should not feel ashamed if they are unable to solve any of the problems, because this is what is expected. Thus students should feel proud if they manage to conquer even one problem. Second, a generous amount of time is allowed for the Tournament. The usual examination really tests students whether they can answer routine questions quickly and accurately. There is really no time to ponder how a particular question is to be approached. This nurtures a bad work habit in students who tend to give up too easily on problems that do not yield immediately to an attack. Herein lies the main reason why a large number of students do poorly in the Tournament. It is not for lack of talent or effort, but lack of experience. They must not expect to read the problem and be able to write down the solution right away. They must learn to experiment with the given conditions and try to discover patterns or foster inspiration. These are essential ingredients in a successful research career, and the students cannot start too soon on acquiring such experience.
International Mathematics Tournament of the Towns
Vice-president
Andy LIU
(環球城市數學競賽是僅次於國際奧林匹亞(IMO)第二個最具聲望的中學生國際數學競賽。
環球城市數學競賽是一個較優越的競賽,這可以從兩個重要方向來看。首先,大多數的學生都能夠參與這個競賽,而在國際奧林匹亞競賽中,每個國家卻侷限於最多六名學生有機會參加。因為環球城市數學競賽的試務是在各地自行舉辦的,所需的經費較少。這便允酗j量的學生來參與並享受一次高水準的國際競賽。第二,試題由具傑出經驗的專家所命題的。它的題目純粹因數學才能、趣味等因素而被選出來,不受其他因素干擾。但在IMO競賽中,則常見到一些漂亮的備選題因涉及各國爭取獎牌的隱秘動機,而被人策劃否決了。
環球城市數學競賽比較像是一種數學的實驗而非考試,同樣也可以由兩方面來看。首先,它沒有可能贏得大獎,目前為止也沒有什麼相關的宣傳價值。因此參賽者不會感到任何不適的壓力。不像一般考試,當學生受測時已經被假設他應該了解考試內容的一切知識。環球城市數學競賽是被設計用來挑戰參賽者的創造力,如果他們不能解答任何題目,他們不該因而感到羞恥,因為這是被預料中的結果。反過來說,學生能設法征服任一個問題得到一點分數,他們應該是感到光耀的。再者,環球城市數學競賽給予參賽者充足的時間來解題,而一般的考試只測驗學生能否迅速而精確的回答出制式的問題,他們確實沒有時間來思慮問題應該如何入手。久而久之,便養成學生面對無法立即克服的問題時,輕易地就宣告放棄的壞習慣,這也就是釵h學生在環球城市數學競賽中考的不好的主因。這並不是他們缺少天賦或者不夠努力,而是缺乏經驗。一般人通常無法在閱讀完問題後能立即把解答寫出來,他們必須學習去琢磨給定的條件,並試著去發現線索或產生靈感。這些都是成左漪膍s人員相當重要的基本奶牷A學生應該盡快學習。
環球城市數學競賽副主席 劉江楓)
回應
bubupin
Re: 環球城市數學競賽成績與在校成績
2007-12-11 22:24整整一年了,他沒有再去網咖,連電腦都很少碰.但這次全校六年級的快打高手比賽,大家都說非他莫屬,如果美夢成真,他可以獲得五十元的獎金.
"如果更困難一點,我可以更大幅的領先,不過,五十元已經不錯了",他知足地說道.
沒有提供適當誘因,難以激發小孩子的熱情,總是曲高和寡.我的小孩在學校,學習有氣無力,考試提供他安靜發呆的機會,但為了一張獎勵卡可以換一元硬幣,卻願意挺身而出.即使提供一瓶礦泉水做為獎勵,他都會樂此不疲,只要每週提供一道數學難題,在時間限制範圍內解答出來,給個小獎勵就能令他樂翻天,為什麼我們不能做這些,全面來提昇數學教育.
數學不是玩不起來,重點是沒有人帶頭玩.我們似乎只能在家裏自己玩,看著自己的孩子越來越棒,總為那些沒被開發潛能的優秀小孩惋惜.
星期天孩子的媽要出去,被孩子要求騎車繞行很長的一段路,他則在一旁用跑步行走,那其實很累,但很好玩,像在溜寵物,孩子的特殊要求,樂意照辦,因為甘願陪他,特別是孩子並不以為苦.
當他知道坐車可以迅速到達目的,但他卻捨之而就他途,這是他的一種執著,寧願用汗水緩慢去抵達終點.我曾經估計,他複習高中數學課程只需三個月,之後每一個月可以複習一次,只要努力點,把可以找到的數學考古題讓他算個滾瓜爛熟,一年後就可以成為考試高手,叫一個三年級的學生去算一年級的數學,粗心大意的機會降低很多,也就是說,這樣的數學高手,是可以"練"出來的,但可以做的事,如果我願意去做,早就做了,但我沒有做,因為認為過程太可笑.
在小學討論區中孫先生回答有關香港/印尼國際小學數學競賽時指出:
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小學競賽的每一道題都是由我本人親自設計,力求有趣不落俗套。由於我深知九章數學俱樂部成員的弱點與盲點,有些題目就是特別設計來修理他們的,讓他們不至於太驕傲。就像釵h國際賽我所提供的題目往往是刻意針對台灣學生的弱點,專門修理台灣選手,當外國選手都會只有台灣選手做錯時,他們才會收斂起驕恣的態度,只有讓他們痛切體驗自己的不足,返國後才知痛定思痛,力求彌補。這些資優生及家長意氣風發不可一視的態度,無論說什麼都沒用,只有在適當的時候讓他們重重地跌一跤,才能促使他們驚醒。學生們得不得獎對我而言並不重要,重要的是能否讓選手們知道「人外有人,天外有天」。也就是我這樣的理念,使我在國際數學競賽界深受各國代表的敬重。
九章數學俱樂部成員的榮耀已經過多了,為了他們好,我只會刻意打壓他們,不會循私偏坦他們。
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孫老師如此"玩弄"學生,可謂用心良苦.這也是我一直在想,如何讓孩子提早破央A比起一步登天還來得重要.
神豬告訴我一個秘訣,在解決數學問題時,首先要確定一個策略,感覺不錯,然後努力去想,就會出現生機.雖然他是個小學生,我願努力去體會他話中的含義.
這就是我的缺點,常常很久無法下手決定走那一步,然後也沒有靈感去調整到不錯的感覺,同時沒有積極地去徹底執行,另外,有很多走不通的路我不懂得轉彎,有很多可以走得通的路我沒有去找到活路.
環球題目純粹因數學才能、趣味等因素而被選出來,不受其他因素干擾。環球城市數學競賽是被設計用來挑戰參賽者的創造力,這並不是他們缺少天賦或者不夠努力,而是缺乏經驗。試著去發現線索或產生靈感。這些都是成左漪膍s人員相當重要的基本奶牷A學生應該盡快學習。