Tuesday, March 10, 2009

Math Olympiad - Part 1

The Philippines has been participating in the International Math Olympiad (IMO) for more than a decade now. Based on the available records, the country has consistently ranked in the lowest decile of participating countries.

The following shows the ranking of countries in the IMO from 1995 to 2007 (Presentation of countries is based on the 2007 ranking):

Country 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995
Russia 1 2 3 3 5 2 2.5 2 1.5 6 4.5 4 3
China 2 1 1 1 2 1 1 1 1.5
29 16 19
South Korea 3.5 3 5 12 6 6 4.5 4 7 12 11 8 7
Vietnam 3.5 13 15 4 4 5 10 5.5 3 9 10 7 4
U.S.A. 5 5 2 2 3 3 2.5 3 10 3.5 4.5 2 11
Japan 6.5 7 8 8 9 16.5 13 15 13 14 48.5 25.5 27
Ukraine 6.5 22 9.5 11 14 20 8 13 12 8 6 18 23
North Korea 8











Bulgaria 9.5 21 11 5 1 4 4.5 5.5 5 2 26 52 44
Taiwan 9.5 10 7 6 16 7 9 8 9 5 14 20 12
Country 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995
Romania 11 6 6 10 7 8 15 11.5 4 11 7.5 1 2
Hong Kong 12.5 14 17 30 29 24 19.5 28 33.5 25 79

Iran 12.5 8 4 9 17.5 11 18 10 8 1 63 70 53
Thailand 14 15.5 23 35 19.5 22 22.5 29.5 47.5 42 52 47 34
Germany 15 4 12 25 17.5 10 14 20.5 17 16 28 30 48
Hungary 16 17 9.5 7 10.5 12.5 21 9 11 3.5 30.5 27 20
Turkey 17 19.5 21.5 32 8 14.5 11 18.5 16 17.5 25 19 25
Poland 18 11 27.5 16 22 22 19.5 32.5 19 21 20.5 13 16
Belarus 19 23 18 13 19.5 14.5 12 7 6 19 55 58 64
Moldova 20 9 21.5 17 30.5 49 40 26 56 50 58 41 36.5
Country 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995
Italy 21 12 24 49.5 50 33 46.5 50 23 38 22.5 15 13
Australia 22 26 25 27 26.5 26 25 16 15 13 34.5 34.5 32.5
Serbia and Montenegro 23 38 39 22.5 23







Brazil 24 29 34 22.5 26.5 22 16 48.5 29.5 30.5 74

India 25 35 36 14 15 9 7 14 18 7 60.5 56 68
Georgia 26 33.5 37 28 32 34 38.5 36 38 36 32.5 36 30
Canada 27 15.5 19 22.5 12.5 12.5 24 17 31.5 20 7.5 11.5 6
Kazakhstan 28.5 31 26 22.5 12.5 16.5 6 24 35 35 12 11.5 9
United Kingdom 28.5 19.5 13 20 10.5 27 32 22 20 17.5 16 5 10
Colombia 30 50.5 27.5 29 39 37 42 44.5 49.5 41 66 71 70
Country 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995
Lithuania 31 33.5 53









Peru 32 40 29 64 60.5 51 41 65.5 78.5 46 53.5

Greece 33 56 50 26 30.5 47 30 56 47.5 32 13 10 15
Mongolia 34.5 45
19 25 35.5 32 40.5 25.5 30.5 30.5 44.5 42
Uzbekistan 34.5 57
45 52.5 49 27 38 59
67

Singapore 36 27 14 18 36 30 29 37 36.5 22.5 41.5 25.5 27
Mexico 37.5 24 31 37 41 46 46.5 32.5 52.5 44.5 32.5 53.5 58.5
Slovakia 37.5 18 20 31 35 25 48 18.5 21 33.5 36 17 21.5
Slovenia 39 36.5 56 49.5 75 58 67 34.5 58 51 50 44.5 60
Czech Republic 40 48.5 16 34 34 28 45 42 49.5 15 40 66 55
Country 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995
Sweden 41 43 61 46 48 49 69 31 41.5 47 19 40 35
Austria 42 42 40.5 59.5 59 56.5 55 39 29.5 48 9 23 21.5
France 43.5 28 32 38 24 19 28 48.5 33.5 26.5 34.5 39 36.5
Norway 43.5 66 64 59.5 42 44 50 57 39.5 61 44 37.5 52
Belgium 45 52.5 40.5 42.5 37.5 52.5 69 53.5 54.5 39 17 21 27
Croatia 46 54 34 40 33 45 35 34.5 41.5 22.5 1 6 1
Argentina 47 31 46 39 28.5 31 22.5 25 45 29 82

Armenia 48.5 36.5 34 36 43.5 67 53 20.5 39.5 26.5 37.5 29 29
Macau 48.5 59.5 64 42.5 58 56.5 64 76.5 60.5 64 56 49.5 62
Israel 50.5 25 30 15 21 18 17 11.5 25.5 24 68 61 61
Netherlands 50.5 63 47.5 61 64 54 54 46.5 31.5 44.5 37.5 59 45
Country 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995
Azerbaijan 53 48.5 49 47 40 65 73 65.5 66.5 54 43 42 43
Bosnia-Herzegovina 53 41 56 70 43.5 62 51 29.5 43.5 33.5 41.5 31 47
Indonesia 53
42.5 54 37.5 64 60.5 51 64.5 68 15 14 14
Macedonia 55 63 54 48 47 43 43 43 36.5 40 46.5 49.5 31
Mozambique 56 90 90 82.5








Estonia 57 45 45 44 54 40.5 37 58 69 43 58 49.5 49
Albania 58.5 50.5 60 56 71 70.5 72 75 66.5
71.5 67.5
Switzerland 58.5 31 42.5 56 67.5 60.5 57 40.5 24 57 58 62 39.5
Latvia 60 52.5 47.5 52.5 50 40.5 38.5 46.5 22 37 75 67.5 65.5
Country 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995
Finland 61 39 56 64 56 38 64 52 43.5 63 53.5 55 56
Portugal 62 47 70 77 73 78 78 72.5 70 72.5 71.5 63 67
Ireland 63.5 67 51 66 74 70.5 64 69 62 59 3 9 8
Turkmenistan 63.5 61 64 62 60.5 59 66
77

72.5
Denmark 65 69 44 68 66 55 69 61 54.5 66 80 69 58.5
Spain 66 45 58.5 56 46 60.5 58 68 46 59 64 49.5 51
Kyrgyzstan 67 77 58.5 52.5 50 75.5 79 76.5 76 69 77 75 73
South Africa 68 63 62 33 45 32 36 27 27.5 28 39 43 41
Cyprus 69 81 77 64 71 68 34 65.5 64.5 56 24 34.5 32.5
Trinidad and Tobago 70 73.5 78 76 62.5 72.5 60.5 59 68 59 65 60 63
Country 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995
Tajikistan 71 72 79.5









Costa Rica 72 78.5 66.5









Iceland 73 59.5 72 72 62.5 66 74 60 60.5 52.5 2 3 5
Ecuador 75.5 70.5 75 81 77 82 83 74

18 28 17.5
El Salvador 75.5 78.5 71









Luxembourg 75.5 82.5 87.5 71 69 79 80 53.5 71 65 51 32 50
Malaysia 75.5 70.5 76 73 67.5 69 60.5 65.5 63 62 69.5 72.5 72
Pakistan 78.5 76 81.5









Paraguay 78.5 68 79.5 82.5 82 80 82

72.5 77

Bangladesh 80 80 87.5









Country 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995
Morocco 81 65 74 41 56 63 52 55 57 52.5 60.5 65 24
Cambodia 82











Sri Lanka 83 55 68 74 81 77 71 72.5 81 74
53.5 71
Philippines 84
69 79 79 74 75 70.5 73 70.5 73 74 65.5
New Zealand 85 58 38 58 56 35.5 44 62.5 52.5 49 48.5 37.5 46
Montenegro 86











Cuba 87
52 78 76 39 26 44.5 27.5 67 27 46 38
Lithuania 88.5 89 81.5 51 52.5 42 56 62.5 51 55 22.5 33 39.5
Venezuela 88.5 73.5 73 80 78 52.5 49 79.5 80 75 81

Puerto Rico 90 84.5 84 69 71 75.5
81.5

77

Country 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995
Saudi Arabia 91 88 87.5 85








Chile 92











Bolivia 93 86.5 91









Brunei






81.5

62 57 69
Guatemala

85

81 76 79.5 75
45 22 54
Kuwait
86.5 87.5 84 80 83 81 78 78.5 76 46.5 64 57
Nigeria
84.5










Panama
75










Tunisia

83 75
72.5 60.5
74



Uruguay
82.5 66.5 67 65 84 77 70.5 72 70.5 69.5

Yugoslavia




29 32 23 14 10 20.5 24 17.5














# of countries 102 99 100 94 91 93 92 91 90 85 91 84 82


The world is too big to compare the Philippines' IMO performance with the top performing countries. So I generated the following table to see how well we performed compared with ASEAN neighbors:

Country 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995
Vietnam 3.5 13 15 4 4 5 10 5.5 3 9 10 7 4
Thailand 14 15.5 23 35 19.5 22 22.5 29.5 47.5 42 52 47 34
Singapore 36 27 14 18 36 30 29 37 36.5 22.5 41.5 25.5 27
Indonesia 53
42.5 54 37.5 64 60.5 51 64.5 68 15 14 14
Malaysia 75.5 70.5 76 73 67.5 69 60.5 65.5 63 62 69.5 72.5 72
Cambodia 82











Philippines 84
69 79 79 74 75 70.5 73 70.5 73 74 65.5
Brunei






81.5

62 57 69

As of IMO 2007, the Philippines is at the bottom of ASEAN countries.

What is the (MATH) problem of the Philippines? How do we solve this? Let me count the ways.

Filipino math lovers may look into the following ways:

1. Process of selecting IMO contestants.
Is it open to all students? Is it grassroots-based? Sana kagaya ng Metrobank-MTAP-DepEd Math Challenge setup. Lahat sana may pagkakataong sumali.

Although most of the good math students are in private schools, I believe that there are very good public school math students that are left undiscovered or were not given even a small chance to participate. My haunch is that the most talented math students are in public schools. The laws of probability should support my haunch.

2. Math questions during selection and training of Philippine representatives.
Are we giving them the IMO-type questions during the selection and training processes? Many of the questions in a few math contests that we have in the Philippines are computation type. Such type of math questions is perfect for Metrobank-MTAP-DepEd Math Challenge.

For IMO, the questions are out-of-the-box type. One year training is recommended for prospective Philippine representatives.

3. Philippine Education System is inadequate.
Most of the countries that participate have at least 12 years of pre-University education (elementary to high school). Kulang tayo ng 2 years. Two years of additional math would spell the difference. Talo tayo sa competition kasi hilaw pa ang mga bata.

4. IMO questions could be translated into Filipino

I presume that the Filipino representatives use the English IMO questions during the olympiad. Other countries have the IMO questions translated into their own language. Bakit hindi rin sa Pilipino?

Studying Math in your native language would enable deeper understanding of the subject. Learning it in a foreign language (English) would hinder absorption of basic concepts. Hirap ka na nga sa Math tapos iintindihin mo pa yung English questions. Doble ang difficulties.

At saka baka magkaibang compartment sa utak ang language at Math. Baka left brain ang Math tapos right brain ang language. Hinuha ko lang yung ha.

I studied the data of the IMO 2007 and made a crude statistical test whether there is any relationship between IMO scores of a country and countries with IMO questions translations. the results should be interesting. But that would be the subject of another post.

For Math lovers these are food for thought.

Sana ang 1st Olympic Gold ng Pinas ay sa Math.

Pids

1 comment:

  1. sir, baka naman pwedeng mahingi ng MTAP questionnaires Math challenge grade 5. yong po sana MTAP 2006 to 2009.
    kasali po kasi yong son ko grade 5 sa MTAP which will be held on january 14, 2010.
    my email add is solmiraflor73@yahoo.com
    thank you so much po.

    ReplyDelete