哪個國家的數學難度最大,來看印度數學題

2021-02-24 三泰虎

Which country has the hardest mathematics in their education curriculum?

哪個國家學校教授的數學課程難度最大?

 Quora讀者的評論:

Abhijeet Singh Jha, Student, the future of India

My country India.

Not like France but we are never allowed to use calculator whatsoever in any examination.

Ever heard of JEE, One of the world's toughest entrance examinations, just search for its 2015 maths paper 1 and 2 and you will be surprised that they don't allow calculator for exam such tough.

I love maths.

From 1st grade to class 12 (class 12 and 11 in 90% of the schools), we never are allowed to use calculators in any exam.

絕對是我的祖國印度。

跟法國不一樣,我們在任何考試中都不允許使用計算器。

聽說過聯合入學考試嗎,這是世界上最難的入學考試之一,你去搜一下2015年的數學試卷1和2,你就會驚訝地發現,這麼難考的考試是不允許使用計算器的。

我喜歡數學。

從一年級到12年級(我在11、12年級都保持90%的水平),我們在任何考試中都不許使用計算器。

 

Sabuj Chattopadhyay, Autodidact | Top Writer '15/'18

I don’t know if this is the 「hardest」 (I suspect not), but this is the kind of typical maths (arithmetic) question paper I used to solve in third grade. Algebra would come from next class, but I can’t find good representative samples. The question paper is from an Indian school.

譯文來源:三泰虎 http://www.santaihu.com/47101.html  譯者:Joyceliu

我不知道這算不算「最難的」(我猜不是),這是我在三年級時常做的典型數學(算術)題。代數更難,我找不到很有代表性的樣本。這張試捲來自印度的一所學校。

 

 

 

Karthik Viswanathan, Studying at Asian International Private School

India.

Our country may seem to have the easiest text-book mathematics, but again that's never enough for us.

Just like the GAOKAO, students need to attempt the JEE -Advanced examination which is one of the hardest examinations to crack on earth.

It may not be including figures containing complex 3-D images, but believe me; to do one JEE advanced Mathematics problem, is like moving a mountain.

Students of Grade 12 break their minds to crack this six-hour examination!

Sample questions from JEE Advanced.

印度。

我們的國家似乎有最簡單的課本數學,但這對我們來說永遠都不夠。

就像高考一樣,學生需要參加高等級聯合入學考試,這是世界上最難考的考試之一。

它可能並不涉及複雜3d圖形,但請相信我,要完成一道聯合入學考試高級數學題,就像移山一樣的難。

12年級的學生為了這個6個小時的考試而絞盡腦汁!

高等級聯合入學考試的問題範例如下。


 

 


 

 

 

Anonymous

I don’t know about the hardest, but I can tell with certainty that mathematics taught in Russian primary-secondary schools is like gazillion times harder than such in USA, UK and Australia. When I saw SAT exam tasks for the first time, it almost made me laugh.

I also got Master of Biology degree in Australia, and it was noticeable how shallow the knowledge of mathematics were in other students, and how afraid of maths everyone is.

So if you want to study some intense mathematics, go to Russian secondary school. Maybe there are countries where it’s even harder (Japan, maybe?), but Russia won’t leave you disappointed.

P.S. As of Higher Education, I don’t know. I suppose that at Bachelor of Maths programs, USA students catch up - how else would they be good at tech stuff there.

P.S.S. There is a serious downside of such programs in Russia: it’s not so uncommon for some pupils to finish school not understanding how to solve some of the problems done at class. The level of maths knowledge in secondary school finishers can vary from maths genius to near-zero.

我不知道哪個最難,但我可以肯定地說,俄羅斯中小學教授的數學比在美國、英國和澳大利亞要難得多。當我第一次看到SAT考試試卷時,我差點笑出來。

我也在澳大利亞拿到了生物碩士學位,很顯然,其他學生的數學知識有多麼淺薄,每個人都那麼害怕數學。

所以如果你想學習一些高難度的數學知識,就去俄羅斯中學學習吧。也許有些國家的情況更糟(日本,也許?),但俄羅斯不會讓你失望。

至於高等教育,我不清楚。我想,在數學學士學位課程上,美國學生會迎頭趕上——要不然他們怎麼會在科技領域如此出色呢?

附註:在俄羅斯,這些課程有一個嚴重的缺點:有些學生在畢業後不知道該如何解決課堂上學習過的一些問題,這種情況並不少見。中學畢業生的數學知識水平可能差異極大,從數學天才到幾乎一無所知都有可能。

 

Ethar Alali, Postgraduate Mathematics, The Open University

China and Korea, hands down. The main European countries of France, Germany and the UK are nowhere as far as difficulty.

中國和韓國,毫無疑問。法國、德國和英國等歐洲主要國家在難度上相差了十萬八千裡。


 

This graph kind of shows a point, though doesn’t include China and Hong-Kong. Both sit with Korea at the top of this graph. Even some countries in the Middle East, including Israel and Iran, start to touch China and Korea, with the reasons for their exclusions being political in nature, not academic.

You may see answers which attempt to create a link between International Mathematics Olympiad (IMO) or even Field Medals won for academic research. This isn’t an accurate nor fair comparison, mainly because in the vast majority of countries, IMO content is not part of the curriculum and also Field Medals are awarded for contributions to Mathematics, more often than not, post-doc. So there isn’t a curriculum at those levels.

The relationship of those to curricula is loose. IMO for example, sets a worldwide standard and this standard is so far beyond the UK standard that even degree level students of mathematics, and some graduates even, have no idea what the IMO questions mean, that these 13 to 18 year olds are competing in.

In addition, as people age and get to university, they difference starts to narrow

這張圖說明了一點,雖然圖中並不包括中國和香港。這張圖表左右兩欄的頂部都是韓國。甚至包括以色列和伊朗在內的一些中東國家,也逼近中國和韓國的水平,它們被排除在外只是出於政治方面的原因,而非學術方面的原因。

你可能會看到有些答案試圖把國際奧林匹克數學競賽甚至學術研究領域的菲爾茲獎獎牌扯進來。這麼比較並不準確、公平,主要原因是在絕大多數國家,國際奧林匹克數學競賽的內容並不是課程的一部分,而且菲爾茲獎更多的是頒發給對數學有貢獻的博士後。所以那些級別沒有對應的課程。

這些課程體系之間的關係是鬆散的。例如,國際奧林匹克數學競賽有全球統一的標準,這個標準遠遠超過了英國的標準,甚至連數學專業的本科學生,抑或某些研究生,都搞不懂國際奧林匹克數學競賽的題目,而國際奧林匹克數學競賽的參賽者都是13到18歲的學生。

此外,隨著人們年齡的增長,進入大學求學,他們的差距開始縮小。

 

Anonymous

I would say India for 3 reasons

1.Schools curriculum and standardized tests standard (there are many standards) is tougher than most countries. (But state school system is dismal so average capability is poor)

2.Social acceptance (coolest kid in the school is the one with best Math skills). Relatives would enquire about how the kid is doing in Math. (All this inspite of Math never being a serious career option). It is normal for kids at school to prioritize Math over other subjects.

3.Religious heritage - Hindu religion allows and encourages abstract thought … its not a coincidence zero, calculus, calculation of PI can all be attributed to Indian people steeped in Hindu philosophy.

Its not unusual to find medical doctors in India who brag about their math skills at school level.

FYI college level math is not so great though as Math has never been a serious career option. No one ever got a job in India due Math skill need, they got jobs as they felt ppl with math skills are maybe 「good」.

One of the reasons Indians are good at coding is they see it as an extension of the same principle of problem solving they pick up in school Math.

我認為是印度,原因有三個:

1.學校的課程和標準化考試標準(標準有很多)比大多數國家都要嚴格。(但公立學校系統很糟糕,平均水平很低)

2.社會認可(學校裡最酷的孩子都是數學成績最好的)。親戚們會打聽孩子的數學成績。(儘管數學從來都不是一個嚴肅的職業選擇)。在學校裡,孩子們把數學放在其他科目之上的位置是很正常的。

3.宗教文化遺產-印度教允許並鼓勵抽象思維…這不是巧合,零,微積分,圓周率的計算都可以歸因於印度人耳濡目染的印度教哲學。

在印度,經常有醫生吹噓自己上學時的數學水平。

僅供參考,大學階段的數學教學並不是很好,因為數學從來都不是一個嚴肅的職業選擇。

印度人擅長編程的原因之一是,他們將其視為學校數學中所學的解決問題的原則的延伸。

 

Alvin Tanasta, BS Engineering, University of Illinois at Urbana-Champaign

I am not a Singaporean myself but after seeing the level of math that my Singaporean friends do at high school level, I would vouch for Singapore. You can look at their curriculum. Look up Singaporean A-level or NTU entrance exams. They encompass a wide range of topics like poisson distribution, etc. These would be the things that US high school students don't learn.

In addition, here in the US, most of high school students who plan to do engineering have not taken calculus yet. They are not required.

I also think that some other Asian countries such as China and South Korea are not too far behind from Singapore. The difference is probably really small. 

我自己並不是新加坡人,但當我看到新加坡朋友高中時的數學水平後,我會提名新加坡。你可以看看他們的課程。查一查新加坡的A-level或南大的入學考試。考試涉及面極廣,如魚類的分布等。這些都是我們的高中生沒有涉獵的範圍。

此外,在美國,大多數打算學習工程學的高中生都沒有學過微積分。沒人要求他們學。

同時,我也認為中國、韓國等亞洲國家與新加坡的差距並不大。差別可能非常小。

 

Temir Askhat, Software Engineer at DAR

It seems to me that everyone here is trying to convince that their math curriculum is the hardest and posting their math problems. Well, all of these pictures are quite familiar and well-known problems, I』d say even redundant. I don’t know which country has the hardest curriculum, because it needs a lot of parameters to check on a global scale. Probably, even results in international competitions like IMO aren’t sufficient, because some countries are focused on preparation for those olympiads, some not. In what I am sure is that mathematics which taught in all former Sovet Union countries (Russia, Belarus, Ukraine, Kazakhstan etc.) in primary - secondary school is much harder than in the USA, UK, most Europe countries. I know a lot of students in Kazakhstan who have taken the SAT Subject Test Level 2, mostly with no preparation and got 750+ out of 800 easily.

在我看來,這裡的每個人都在試圖說服自己,他們的數學課是最難的,還把他們的數學題貼上來。這些圖都是很常見的問題。我不知道哪個國家的課程最難,因為需要在全球範圍內查驗很多參數。也許,甚至像國際數學奧林匹克這樣的國際比賽的結果都是不夠全面的,因為有些國家專心備戰奧運會,有些國家則不然。我所確信的是,在所有前蘇聯國家(俄羅斯、白俄羅斯、烏克蘭、哈薩克斯坦等)的中小學裡教授的數學要比在美國、英國和大多數歐洲國家難得多。我認識很多哈薩克斯坦的學生,他們中的大多數在沒有準備的情況下參加了SAT科目的二級考試,都能在800分中輕鬆考出750分以上的高分。

 

Renyi Tang, Math, Statistics, History, Sociology lover.

For high school math education curriculum, China definitely has the most difficult curriculum. If you look at the math questions on the College Entrance Examination (Gaokao), and the olympiad math contests, you will see the difficult level of these questions. Chinese math athletes perform extremely well in International Mathematics Olympiad every year.

However, in terms of college math education, China's is not the best. Chinese college education math education does not do very well on math research, compared to USA and France. This is partially why China's performance in math academics is not proportional to the the performance in math olympiad.

若說高中數學課程,中國無疑是最難的。如果你看看高考和奧林匹克數學競賽中的數學題,你會發現這些題的難度究竟有多高。中國的數學選手在每年的國際數學奧林匹克競賽中表現優異。

然而,就大學數學教育而言,中國並不是最好的。與美國和法國相比,中國的大學教育在數學研究方面做得不是很好。這就是為什麼中國在數學學術上的成績與數學奧林匹克競賽的成績不成比例的部分原因。

 

Rad Kan, In US for 14+ years

Firstly, I know most Indians will be offended if I say this, but it’s true that it’s a misconception that 「all」 Indians are good at coding. I believe many are good but there are some whom I have seen personally who are not great coders at all, just mediocre. But why are they there? money, easy path to US, for many of us, we do what our parents tell us. If computer science is a hot field, go for it, there are many more job opportunities and people respect you.

At the same time I have seen some self-taught American coders who are super good at coding. Again, I’m not saying Indians are not good coders, I’m only against generalizing as such. The percentage of good programmers given a sample population in India, would be same as that for US population. I’m sure that’s true for China too. I have seen great Chinese programmers too but for some language was a barrier even though they were really smart.

And there are many of those who don’t have money to get proper education but if they were taught programming, then I believe majority kids of today would be good at it or even Maths for that matter. We all have the ability to understand and learn. Sometimes your teachers matter a lot and self-learning too.

首先,我知道我這麼說的話,大多數印度人都會生氣,但這確實是一種誤解,即「所有」印度人都擅長編碼。我相信很多人都是優秀的,但我也親眼見過一些人,他們根本不是什麼厲害的程式設計師,只是尋常人等。但它們為什麼會在那裡呢?錢,對我們來說很容易,對我們很多人來說,我們做父母告訴我們的。如果計算機科學是一個熱門領域,那就去學吧,有更多的工作機會,人們會尊重你。

與此同時,我看到一些自學成才的美國程式設計師非常擅長編程。我並不是說印度人不是好程式設計師,我只是反對以偏概全的說法。在印度,優秀程式設計師所佔的比例與美國相同。我相信中國也是如此。我也見過優秀的中國程式設計師,但對某些語言來說,這是一個障礙,儘管他們真的很聰明。

還有很多人沒有錢接受正規教育,但如果他們學過編程,我相信今天的大多數孩子都會擅長編程,甚至數學。我們都有理解和學習的能力。有時你的老師很重要,但自學也同樣重要。

 

Sanya Srivastava

Math is hard across Asia in general.

It's no coincidence that Indians and the Chinese form a large part of the student body in prestigious US universities; the math taught in the Indian curriculum is incredibly intense. There are different boards with varying degrees of difficulty, but they're all just that- difficult.

The Oxbridge entrance tests for physics and math, the PAT and MAT respectively, are just regular grade 11 syllabus in India. (I'm sure the same applies to China, Vietnam, etc.)

And the entrance test to India’s prestigious IITs is the hardest physics chemistry math paper in the world, at par with another entrance paper in China.

I'm not trying to prove that Indian math is the hardest: it may well not be.

But I'd like to point out that math across Asia (based off what I know) is definitely harder than in the US.

整個亞洲的數學都很難。

印度人和中國人在美國著名大學的學生群體中佔很大比例,這並非巧合;印度課程教授的數學非常難。雖然存在不同難度,但都很難。

牛津劍橋的物理和數學入學考試,即PAT和MAT,只是印度普通的11年級教學大綱水平。(我相信這同樣適用於中國、越南等國。)

印度著名的印度理工學院的入學考試是世界上最難的物理、化學、數學試卷,與中國的入學試卷不相上下。

我並不是要證明印度數學是最難的:它很有可能並不是。

但我想指出的是,亞洲的數學(基於我所了解的)絕對比美國難。

 

Claude Martinet, works at Rio de Janeiro

According to what i know, Marocan and Tunisian have very high level in maths finishing high school (speciality math). according to recents studies, in Shanghai China, is where 15y old high school student got best score in maths. But maybe the content of the courses to finish high school is not so intense. in Maroc, high school is very elitist, same program as France used to have in 70, they study a lot of stuff that are university level else where now-a-days.

For level 2 years after high school, i think France is the best, the Classe Préparatoire program, to prepare entrance to engineering university is very intense. but level at universities is not so great. Students, got tired after 2 or 3 years of hard studies, and study much less once they got to university. (unless they are part of the very best that goes to ecole normal sup, and continue to study pure math)

Has far as i know, Russian completing Master degree in engineering, have excelent level in Maths, also because they need 6years instead of 5, to get to that level.

Indian engineers, are also said to be good at maths.

I think considering very high Tuitions fee in the USA, master level, students tend to work hard to get return back on investment, is not bad at all, but much more specialized than in France or Russia, general level is lower, but student got better specialization in what they studied.

據我所知,摩洛哥和突尼西亞學生在高中畢業時的數學水平非常高。根據最近的研究,中國上海15歲高中生的數學成績最好。但是高中畢業課程的內容可能沒有那麼緊張。在摩洛哥,高中是非常精英的,就像法國在70年代那樣,他們學習很多大學水平的東西。

對於高中畢業後的第2年的水平,我認為法國是最好的,預科課程,為進入工程大學打基礎的課程非常緊張。但是大學階段的水平不是很好。學生們經過2到3年的苦讀已經精疲力盡,一旦上了大學,就不怎麼愛學了。(除非他們繼續學習純數學)

據我所知,俄羅斯人在完成工程碩士學位後,會在數學方面取得優異的成績,這也是因為他們需要6年而不是5年的時間才能達到這個水平。

據說印度工程師也很擅長數學。

我認為,考慮到美國的學費非常高,在碩士階段學生往往努力學習以獲得投資回報,這一點也不壞,但在學科範圍方面比法國或俄羅斯小得多,一般水平較低,但學生在他們所學的專業上學得更加精專。

 

Ayman Nabil, Engineering Manager at Unilever (2016-present)

I do not know what basis this question is built on. The question is vague and the answers reflect the experience of the answerer in one or two or three countries s/he visited. No one got the chance to see all countries and study maths in every country to be able to answer this question. You may also think that the answer to this question is obtained by unifying all conditions and get a standard math student from each country at same grade and at same age …etc and give them a standard math test. That even does not help as every single person is different. In same country , same city , same district , same school, same class with the same teacher you have differences between student's ability. So what is the standard way here? Referring to statistics that compare universities? Not necessarily an indication as well. If Einstein were alive , he would say 「this question has no answer」

我不知道這個問題是建立在什麼基礎上的。問題很含糊,大家的答案都反映了答題人在一個或兩個或三個國家了解到的經驗。沒有人能夠看遍所有國家,在每個國家學習數學,以便有能力回答這個問題。你也可以認為這個問題能通過統一所有條件得出結論,從每個國家找一個相同年級、相同年齡的標準水平的數學學生,讓他們參加標準的數學測試。這根本沒用,因為每個人都是不同的。就算在同一個國家,同一個城市,同一個地區,同一個學校,同一個班級,同一個老師,學生的能力也是參差不齊的。那麼有什麼標準的方法嗎?參考大學評比的統計數據?也不一定有用。如果愛因斯坦還活著,他會說「這個問題沒有答案」

 

Nguyễn Ngọc Hoàng Thiên, Student at Ho Chi Minh City University of Technology

I don’t know which country has the hardest, but the true that, in compulsory education curriculum of many country in Asia still think that Mathermatics will show your smart and decide your ability. So they make the Mathematics become too hard.

Personally, I live in VietNam and I can told you hornestly that our Mathematics is crazy hard for student (when compare with homework of another student of the West), but after all student don’t know why they have to learn that, what application of these lecture, and when they pass the lass examination to study in college, in university, they try to forget all.

I have listented about the Mathemation of China, Korea, Japan education curriculum, they have some same point like our Mathermatic - crary hard.

我不知道哪個國家的難度最大,但事實是,在亞洲很多國家的義務教育課程中,仍然認為數學可以展示你的聰明,決定你的能力。所以他們把數學搞得太難了。

就我個人而言,我住在越南,我可以告訴你們,我們的數學對學生來說,比登天還難(與西方學生的作業相比),但畢竟學生不知道他們為什麼要學習,這些課有什麼用,當他們通過大學入學考試,進入大學後,他們就會忘掉一切。

我曾聽說過中國、韓國、日本的數學課程,他們和我們大同小異——都是難得可怕。

 

Misheck Mwanza, Bachelor's Environmental Engineering & Water Resources Management, Belgorod Oblast (2017)

I learnt with a group of Burundians during my first year of uni. And I must admit, their vast knowledge of the sciences and maths with their Belgian or French standard was pretty impressive, as compared to us who have the British standard of education. So with that experience I』d say the French or Belgians. One of the two should have the hardest education curriculum.

在大學的第一年,我和一群蒲隆地人一起學習。我必須承認,與我們英國人的教育水平相比,他們在科學和數學方面的淵博知識和比利時語或法語水平都令人印象深刻。有了這些經驗,我覺得答案應該是法國人或比利時人。這兩者中有一個有著最難的教學課程。

 

Anonymous

I lived and studied in Shanghai, China until age of 13, then came to Canada as immigrant. Had to take an assessment test for math and English prior to being admitted in the local school system. The result of that test indicated that my math level was beyond grade 12. Later on I realized that what we took in grade 7 and 8 math classes back in China, e.g. complex algorithm and geometry concepts, are sometimes not taught until year 1 or 2 of a science or engineering program from universities here. In China, calculus can be taught to grade 7 students. Pretty interesting comparison. Needless to say I cruised through all math classes in high school.

我從小在中國上海生活學習,直到13歲移民到了加拿大。在被當地學校錄取之前,我必須參加數學和英語考試。那次考試的結果表明我的數學水平超過了12年級的學生。後來我意識到,在中國,我們七、八年級學的數學課,比如複雜的算法和幾何概念,有時要等到大學裡的科學或工程專業的一、二年級才會教授。在中國,7年級的學生就可以學習微積分。這個比較很有意思。不用說,我高中時每堂數學課都在神遊。

 

Mohsen Zoalroshd, studied at University of South Florida

I finished high school in late 90s in Iran. Back then freshman students would get to pick their discipline(major) which was somewhat similar to what you have as major in college. I chose Math and Physics. In junior and senior years we had combinatorics, graph theory, Calculus(limits, differentiation , integration epsilon-delta definition etc), a bit probability theory and linear algebra (on R^n) in our curricula. Later on when a college student in the States I asked some of my friends from Greece and Germany about their math programs. Honestly I was amazed by their curricula. I suspect that certain countries took their programs after successful European education systems such as Germany and France.

我90年代末在伊朗讀完高中。那時候大一的學生可以選擇他們的專業,這和你在大學主修專業有些相似。我選擇了數學和物理。大三、大四兩年,我們學了組合數學、圖論、微積分(極限、微分、集成ε-δ定義等),概率論和線性代數(R ^ n)在。後來,當我在美國讀大學的時候,我問了一些來自希臘和德國的朋友數學課程學了什麼。老實說,我對他們的課程感到驚訝。我懷疑有些國家是在德國和法國等歐洲教育體系取得成功後才開始實施這些教學計劃的。

 

Akshay Kalucha, Bsc Computer Science, University of Delhi (2021)

INDIA AND CHINA

just take a look at jee maths section and you will get your answer.

i see many people from china and other countries.

the maths in India is dope AF.

Imagine how dreaded students would get preparing for jee for 2 long years

印度和中國

只要看看聯合入學考試的數學試卷,你就會得到答案。

我遇到過許多來自中國和其他國家的人。

印度的數學太可怕了。

想像一下,學生為聯合入學考試備考長達兩年的時間,有多可怕。

 

CP Mishra, Techie| Reader| Traveller

In India Math curriculum of some state boards are much tougher than ICSE/CBSE boards. As Shuai Ye mentioned in case of China, we also used to memorize all the important formulae. I still remember some of them even after 25 years. My daughter is going in 7th grade in USA and here students understand how to prove a formula, what is the significance of it and how to use it at the same time. I guess, it is much better than just memorizing.

In reality, all high school students don’t need advanced maths and it is better to have basic math for everyone and option available for advanced math (like advanced algebra & calculus) for students that are interested. There are few professions that need very advanced knowledge of maths.

At University level, we need progress in areas of pure mathematics as well as applied mathematics.

在印度,一些邦屬教育局的數學課程比ICSE/CBSE的要難得多。我們習慣記住所有重要的公式。即使25年過去了,我仍然記得其中的一些。我女兒在美國上七年級,這裡的學生懂得如何證明一個公式,它的意義是什麼,同時如何使用它。我想,這比死記硬背好多了。

在現實中,所有高中生都不需要高等數學,其實最好的情況是每個人都有基礎數學知識,感興趣的學生可以選修高等數學(如高等代數和微積分)。很少有職業需要非常高級的數學知識。

在大學階段,我們需要在純數學和應用數學領域取得進展。

 

Anonymous

Sri Lanka had the hardest Math curriculum during the `90s and `80s(those days the highest score in country was somewhat around 30 and 40!),although currently eased up a bit, the main AL exam consists of multiple essay questions based on calculus, number theory ,mechanics, statistics,algebra,number theory ...etc. Any score greater than 75 was considered a high distinction pass and the exam was considered extremely stressful as it decided the fate of whether you get to attend an university or not( the university selections were based on the z-scores of the students and only those who were higher up in the 98th percentile were admitted).

I had a friend who got 2A* and a A in the Cambridge AL but he got 2B( between 65 and 75) and C (between 65 and 55) in the local exam. 

斯裡蘭卡80-90年代的數學課程是最難的(當時全國最高的分數大約是30和40分!),雖然現在的AL考試放鬆了一些,但考試還是涉及了基於微積分、數論、力學、統計學、代數、數論等的題目。高於75分就算高分了,考試壓力特別大,因為它決定了你能否上大學的命運(大學錄取是基於學生的得分,只有那些分數超過百分98的學生才能錄取)。

我有一個朋友在劍橋大學的AL考試中得了2A*和A,但是他在國內考試中只得了2B(65 - 75之間)和C(65 - 55之間)。

 

C.Michel de Wilde, studied at Massey University

Indonesia has the hardest maths for the high school curriculums. average high school students learn calculus although they most likely will never use them. however, the maths in indonesia is taught very poorly. emphasizing in memorization and lack of applicability. thus, indonesia's rank is the lowest in maths compared to the other countries.

印尼的高中數學是最難的。剖通高中生學習微積分,儘管他們很可能永遠不會用到。然而,印尼的數學教學質量很差。強調記憶,缺乏應用性。因此,與其他國家相比,印尼的數學排名是最低的。

 

Syed Adeel Hussain, Independent (2017-present)

The Singaporean, the Swedish and the Finnish Models of pedagogy lead the world of Mathematics at the primary learning level!

Not to sure about higher - college, polytechnic and university level standards and rankings.

新加坡、瑞典和芬蘭的教學模式在小學階段就全球領先!

我不清楚高等院校,理工學院和大學的水平標準和排名。

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