小學課程愈來愈深, 會考愈來愈容易:Your Opinions?

stevema

小學課程愈來愈深, 會考愈來愈容易, 可是HKCEE成績卻普遍愈來愈差- what's your opinions?

calvin524

so easy of mathes

mayling234

原文章由 ha8mo 於 07-12-10 16:46 發表
你都識上網囉，仲洗買書？

http://www.mikekong.net/

http://kss.hkcampus.net/~kss-wsf/question.htm

Million thanks!!!

mayling234

原文章由 uncleedward 於 07-12-7 10:12 發表


In fact, my solution is pretty standard. It was only that I used "cutting off the rabbits' feet" to make it easier for kids to remember.

For 兩數和差，we have the following formula from most text boo ...

Dear uncleedward,

I am not very good in math, but really feel 一點點通 through your solution, and its very interesting.

Do you have any suggestion of the book name of 九章出版社?

Thank you very much!

uncleedward

原文章由 mayling234 於 07-12-5 13:32 發表



Hi, uncleedward,

Your solution of 雞兔問題 is quite interesting.  Can you provide the method of other question.
i.e. 雞兔同籠、工程問題、水管問題、流程問題、父子年歲問題、兩數和差問題 ...

In fact, my solution is pretty standard. It was only that I used "cutting off the rabbits' feet" to make it easier for kids to remember.

For 兩數和差，we have the following formula from most text books:

(兩數和 + 兩數差) / 2 = 大數
(兩數和 - 兩數差) / 2 = 小數

If you're interested in non-algebraic solutions to other problems, I suggest you go to the library to pick up a book (for example one of those from 九章出版社) to look it up.

Non-algebraic methods tend to more tedious than using equations but they tend to be more interesting as well.

It is always nice for a kid to master more advanced mathematical tools than those currently taught at school, but in no way this should be the requirement for all the students.

For example, in Mathematics at HKCE level, we are not supposed to use differentiation to find the minimum or maximum value of a quadratic function. The more tedious "completing the square" method is expected. Even in Additional Mathematics, to find the area of a triangle in coordinate geometry, one is not expected to use the more general, and much simpler "determinant" method learned in more advanced maths.

[ 本文章最後由 uncleedward 於 07-12-7 10:49 編輯 ]

mayling234

原文章由 uncleedward 於 07-12-4 00:32 發表

Dear shc2007 & lwl2007

In the old days, 雞兔同籠、工程問題、水管問題、流程問題、父子年歲問題、兩數和差問題were typical questions one encountered at P5 or P6. All of them can be solved without using ...

Hi, uncleedward,

Your solution of 雞兔問題 is quite interesting.  Can you provide the method of other question.
i.e. 雞兔同籠、工程問題、水管問題、流程問題、父子年歲問題、兩數和差問題

uncleedward

Dear shc2007


You said "I want to stop the correspondence with you as we are of different wavelengths."

Agreed.

shc2007

Dear uncleedward,

You are exactly correct.  The method you suggested is only suitable for P5 and P6.  Unfortunaetly, students have to learn another way in S1 and up.  Thus, you want your kids to prepare for P5 and P6 only, or a general approach for the future.  Your focus is still limited to Primary study.  Anyway, I want to stop the correspondence with you as we are of different wavelengths.

"Dear shc2007 & lwl2007

In the old days, 雞兔同籠、工程問題、水管問題、流程問題、父子年歲問題、兩數和差問題were typical questions one encountered at P5 or P6. All of them can be solved without using equations. It is nothing to do whether one is clever or wise. Name any such questions and I would not mind showing you the arithmetical way to solve it.

Please be specific and stop using empty words to avoid the questions."

uncleedward

Dear shc2007 & lwl2007

In the old days, 雞兔同籠、工程問題、水管問題、流程問題、父子年歲問題、兩數和差問題were typical questions one encountered at P5 or P6. All of them can be solved without using equations. It is nothing to do whether one is clever or wise. Name any such questions and I would not mind showing you the arithmetical way to solve it.

Please be specific and stop using empty words to avoid the questions.


[ 本文章最後由 uncleedward 於 07-12-4 00:37 編輯 ]

lwl2007

YES ! ALAL ! 小學課程愈來愈深,

ALAL

today I discover that there is a passage in my son's (P3) Chinese book I learnt in secondary school, probably F3, if I remember correct.

lwl2007

RIGHT ????? Understand ????:-| :-| :-| :-|

shc2007

Dear uncleedward,
It is not so much about equations, but the way of solving problems.  You used a particular case trying to ignore the importance of equations.  Of course, you can solve the problem and get the answer, but it doesn't imply students can tackle similar problems in the situation with complicated combinations.

In short, your suggested method can be considered to be clever, but not wise.

uncleedward

Dear lwl2007

I thought my method already embodies the methodology behind simultaneous equations. I shall be more than grateful if you can be more specific why my method is mathematically inappropriate. And please enlighten me how we can solve the problem without resorting to equations at all.

[ 本文章最後由 uncleedward 於 07-11-30 12:54 編輯 ]

lwl2007

You are so great !

shc2007

Dear uncleedward,

Apparently, your method seems easy.  But, it is actually lack of giving a proper mathematical treatment or insight into mathematical problems.  In other words, dealing with the problems of chickens and rabbits is okay.  If students are asked to solve problems with tricycles, bicycles or lorries, big trucks, your "chickens and rabbits" method can't help.  Conversely, students can get learn anything from the problem.  I just want to say "Learning mathematics is not simply to calculate the correct answer in short time, but to learn, understand and appreciate the process of getting the answers."

wbady

原文章由 el1008 於 07-11-29 08:56 發表


我覺得係因為宜家d家長比以前家長質素提升左,無論係學識或家庭背景都係, 所以自然過份保護左細路, 而且社會對孩子嘅保護亦多左, 變左下一代嘅文化水平層面闊左(因為家長嘅安排, 多左人大學畢業), 但責任感少左,(讀 ...

el1008

原文章由 mayling234 於 07-11-28 22:46 發表


係呀!  而家小學d嘢我細個都學過。 而好多嘢就係我細個有學而佢地係奧數先有。  英文都唔覺得佢地深咗!  佢地有我地都有。  中文就冇物特別印象。  

我讀嘅係新界鄉村學校，相信d嘢唔會深。 不過就記得初中學d嘢好 ...

我覺得係因為宜家d家長比以前家長質素提升左,無論係學識或家庭背景都係, 所以自然過份保護左細路, 而且社會對孩子嘅保護亦多左, 變左下一代嘅文化水平層面闊左(因為家長嘅安排, 多左人大學畢業), 但責任感少左,(讀書唔係自己爭取, 讀得唔好, 父母自然送上補習老師一個) 面對能奕境力差左(家長會幫你解決所有問題, 包括老師, 同學之間嘅相處問題).所有野都唔洗做, 讀好書就得啦, 呢d咪係新一代囉