小學課程愈來愈深, 會考愈來愈容易:Your Opinions?

ZZdaphne

原文章由 judy 於 07-10-30 16:03 硐表


唔係，雞兔問題通常都係咁問嘅：

雞兔合共有12頭，脚合共32隻。問雞、兔各有多少頭？

如果唔用方程，真係難到飛起。

用奧數計比較容易。

youma

原文章由 TWMa 於 07-10-30 14:09 硐表

以前小學學過: 植樹問題、行程問題, 其他不肯定是小學還是中學學的 (年代久遠), 難道我們是同一年代
奧數的確愈來愈難 (還是腦袋開始不管用)

題外話, 近一年來奧數比賽確有加深跡象. 上年[全港小學數學奧林匹克比賽]五年級題目已接近以前六年級題目.


但參賽者也愈來愈勁, 聽講奪冠的竟可攞滿分…

youma

原文章由 ha8mo 於 07-11-1 09:56 硐表
其實學既學生
同唔學既學生比
係咪叻左？

1.
曾聽一位名校中學老師說, 會考攞6A以上的理科尖子大都是以前玩奧數的.
2.
但我想這也不能證明有因果關係, 因為肯在奧數下苦功的, 相信本身已是數學尖子.所以你的推想難以去證實.
3. 但無疑奧數很多內容都是中學數理科時會遇到的刁鑽難題, 在中學便易取好成績; 我猜想在奧數經常攞獎的那批學生, 由於學懂的範疇很廣很深, 其數學根基可能不下於沈詩鈞.

ALAL

I think the pressure of primary students not only comes from curriculum, but too many extra-curricular activiteis. We don't need (have no money ) to join any when we were young.

youma

原文章由 ha8mo 於 07-11-2 09:51 硐表
我見過丘成桐批評奧數，所以都擔心是否適合送小朋友去
不過佢都有話有其好處

“奧數即使得金獎，也只能證明考試的能力，不代表就有研究能力。數學是做研究，研究的根本是找問題。奧數只訓練別人的題 ...

丘教授所說的有點曲高和寡, 個人不太認同:
1. 所有做研究的都要學找問題, 不單是數學。
2. 要做好數學研究,懂設問題找答案, 也需要有優秀的數學理論根底和運算能力, 而奧數正好提供這些基本訓練(自學也可以)。
3.     不一定做數學研究的才是數學家。在應用數學領域裏,例如精算,財算,結構工程,電子工程, 天文,物理等等,[解決問題]也相當重要和常見, 也需要良好的數學解難和運算能力。

[ 本文章最後由 youma 於 07-11-26 07:17 編輯 ]

uncleedward

Dear Judy

I just came across your post by accident and let me offer some help.

雞兔合共有12頭，脚合共32隻。問雞、兔各有多少頭？

First we "cut" two feet from each rabbit. With 12 animals, we would then have 24 feet, i.e. 8 feet less than the original 32. These must have come from the rabbits. They should have come from 4 rabbits. If we have 4 rabbits, originally we have 16 rabbit feet. In other words, (32-16=) 16 feet came from chickens, i.e. 8 chickens.

The maths problem is actually quite simple without resorting to simultaneous equations. But once you have learned algebra, few people are willing to go back to basic arithmetics.

[ 本文章最後由 uncleedward 於 07-11-26 02:13 編輯 ]

judy

原文章由 uncleedward 於 07-11-26 02:07 硐表
Dear Judy

I just came across your post by accident and let me offer some help.

雞兔合共有12頭，脚合共32隻。問雞、兔各有多少頭？

First we "cut" two feet from each rabbit. With 12 animals, we would then  ...

Dear Edward,

老朋友又再見面，真開心！

最早見此雞兔問題，是我侄兒小五時問的(他今年已中六)，其時全家都唔識，要我老爸出手。兩年後，我第二個侄兒又考奧數，我們又忘記了其計法，又要老爸出手。到阿大考奧數，我己將他過俾我老爸教。

中國人很聰明，但用錯咗，所以發明不了代數。我同意丘成桐之看法。

Wumun話佢個女小三已教此問題，看來奥數只會越來越深。我想一般小三學生根本無法計此數，只有將方法背下，對孩子之發展，真係唔知好定唔好？

lwl2007

If you look at the HKCEE and HKALE examination 10 year ago, 1987 HKALE, the syllabus include complex number, integration definite and indefinite, partial fraction, trigonometric analysis, limit and continuity and sequences. However, nowaday, secondary school students need not to study complex no., when they promote to year 1 of BEng in Electrical and Electronic Engg., some of them get into trouble as they don't know much about complex phasor and finally they are quite weak in circuit analysis and electrical machines. For higher level Digital Signal Processing involving S-domain and Z-domain transformation, some of them cannot handle it. Therefore nowadays the Engineering Math. and Course Syllabus have been re-adjusted in order to suit our University student. What I am saying is truth as you can compare the Syllabus of Engineering Math. in most of the local University with that of several years before. The insufficent training in Secondary education in Hong Kong causes some problem to tertary education.

The primary school tends to be too difficult as it may be quite easy to teach so call difficult topics to kids in advance but these topics are relative easy to adult and therefore most of the primary school teacher can handle it. However, look at out secondary school education, the Government just know cutting down some difficult syllabus topics. Have you heard about secondary school teacher try to teach sec 2 math, in sec. 1 and University Year 1 topics in form 7. No ! I doubt how many school can handle these approach, is there any secondary school can use the same approach as St. Franics Primary that teach every topics in advance and therefore pushing their students perform better ! The materials in secondary is become difficult as most of the parent may not understand whether it is too much and appropriate to our child. Most of the parent cannot supervise closely on what our child have learnt in secondary school as these materials are quite difficult and professional. So we rely on school and tutor. Primary school just emphasize the so call gift education and teach everythings in advance but do you think that the educator can using the same approach in secondary school education !

lwl2007

Mathematics is a very serious subject which include Hypothesis, Theorem and derivation if you actually look at it in more detail but if we just want to train our kids to think and solve problem from different point of view, it is no harm to study Olympas Math. In fact, from my point of view, it extract some foundation materials from advance subject such as Discrete Mathematics, Probability Combination and Permutation, Linear Systems and Sequence and Math. Induction from higher level study. It may be helpful to let our kids to be expose to these topics in just foundation level before they are promote to secondary school.

lwl2007

What prof. Yau said is true only for those PhD students who want to be a researcher in University. For kids we just want to train them to think and solve problem from different point of view. Who know whether they will become Mathematician or Professor getting Nobel Prize (like Professor Yau) in the future ! We just want our kids to re-inforce their math. training and calculation !

judy

原文章由 wunma 於 07-11-26 11:26 硐表
Judy,

妳誤會了, 呀囡唔係小三, 係小五. 學到第三堂就係雞兔問題.

一向都唔會要仔女出去學額外野, 所以呀仔都係到中三佢自己要求先開始出去補習. 呀囡就因為太懶, 佢老豆話佢唔用腦先迫佢學奧數.

好唔好就唔知,  ...

wunma,

第三堂睇成小三，真係錯得好離譜。

mattsmum

小學課程愈來愈深, becasue most parent can teach his own kids in primary, can push these kids,


會考愈來愈容易- not in the seconday, kids will not listen to you anymore, also parents already forgot what they learned before.

原文章由 lwl2007 於 07-11-26 11:17 硐表
If you look at the HKCEE and HKALE examination 10 year ago, 1987 HKALE, the syllabus include complex number, integration definite and indefinite, partial fraction, trigonometric analysis, limit and co ...

father_ho

Dear parent,

Education reform actually intend to cut the depth of each subject and boarden the width of learning. But the outcome is most parent due to whatever reason (middle class all concentrated in stock, property investment, lower class struggle for live) and wholly rely on the school to teach their kids. For Pri. school, you can still pushing them as such. For Sec. school, all are independent and either the kids ignore your advise or just concentrated on those exam related areas, thus upsetting the whole intention and producing those high mark low Q's. If you had chance to meet those sec. and tri. graduate, you should prepare a sink to hold your blood.

lwl2007

Sometimes I find it difficult to give guidance to my son for his learning. Firstly, I have not kept updating my science knowledge for over ten years. When my son ask me some questions about Integrated Science, I forget everything and I cannot answer his questions ! Even for the Math. course, I have not studied Math. for many years, sometimes, I cannot solve his problem and give him the correct answer ! For form 1 to form 3, I can handle some of the subjects, but when he promote to Form 5, I think that he must relay on himself or I try to find a tutor for him !

judy

原文章由 lwl2007 於 07-11-27 15:34 硐表
Sometimes I find it difficult to give guidance to my son for his learning. Firstly, I have not kept updating my science knowledge for over ten years. When my son ask me some questions about Integrated ...

我認為就算唔識，都可以教到小朋友。有沒有試過小朋友問問題，你只是依依哦哦地應着，過一會，他會說多謝你，但你根本未回答過問題。

有一次小朋友考樂理，問我何謂大三元音和小三元音。我係音樂盲，根本無從回答。我於是向他健議，不如打開鋼琴彈一下。我剛說完，小朋友已明白過來，仲猛咁讚我醒。

我反對補習，補習剝奪了孩子思考之機會，除非教師不教。侄兒去年考中五，他說很討厭生物課，因教師連讀課本也讀得有氣無力亂七八糟。家人於是健議他去補習，市場經濟加上母語教育，侄兒話個教師每堂都象做talk show，進步神速，會考A埋。

lwl2007

Wa ! Amazing ! "侄兒話個教師每堂都象做talk show，進步神速，會考A埋。" I think tutor sometime is helpful !