Another ranking that should be looked at very carefully is the International Mathematical Olympiad, designed for pre-university students, the first of which was held in Romania in 1959. The competition includes problems in algebra, pre-calculus, complex geometry and functional equations.
Twenty years ago the Olympiad was dominated by ex-communist Eastern Europe. In 1996, first place was taken by Romania while Hungary was third and Russia fourth. Now, East Asia and the Chinese diaspora are dominant: South Korea second, China third, Singapore fourth, Taiwan fifth, North Korea sixth, Hong Kong ninth, Japan tenth.
The USA is first this year, as it was in 2015, with an all-male team whose members have three South Asian and three Chinese surnames.
The rankings look pretty much like the PISA and TIMSS test scores. Combined with the recent coding competition and the Top500 supercomputing ranking, they suggest the intellectual and economic leaders of this century will be in East Asia and Eastern Europe including Russia.
The USA and the UK might do fairly well if they can introduce and maintain sensible immigration and educational selection policies.
The American success, unfortunately, is not good enough for the conventional education media. The team is not diverse enough: no women, no historically underrepresented minorities. So far nobody has protested about the absence of transgender or openly gay students but perhaps their time will eventually come.
Education Week reports that:
"According to Mark Saul, the director of competitions for the Mathematical Association of America, not a single African-American or Hispanic student—and only a handful of girls—has ever made it to the Math Olympiad team in its 50 years of existence."
To overcome this problem, participants in the events leading up to the Olympiad have competitions that test creativity and collaboration and are judged subjectively.
"In the past few years, MathCounts added two new middle school programs to try to diversify its participant pool—National Math Club and the Math Video Challenge.
"Schools or teachers who sign up for the National Math Club receive a kit full of activities and resources, but there's no special teacher training and no competition attached.
The Math Video Challenge is a competition, but a collaborative one. Teams of four students make a video illustrating a math problem and its real-world application.
After the high-pressure Countdown round at this year's national MathCounts competition, in which the top 12 students went head to head solving complex problems in rapid fire, the finalists for the Math Video Challenge took the stage to show their videos. The demographics of that group looked quite different from those in the competition round—of the 16 video finalists, 13 were girls and eight were African-American students. The video challenge does not put individual students on the hot seat—so it's less intimidating by design. It also adds the element of artistic creativity to attract a new pool of students who may not see themselves as "math people."
An 8th grade team from the Ron Clark Academy, an independent middle school in Atlanta that serves low-income students, was among the finalists. The students illustrated a complicated multistep problem entirely through rap. None had ever been involved in a math competition before."
In other words, the competitions will be less and less about mathematics and more and more about making rap videos and the like. No doubt Russia, China and Korea will be flocking to the US to see how its done. Much the same thing has been happening with national competitive debating.
Here are this year's results and those for 2015 and 1996.
Rank 2016
|
Team
|
Rank 2015
|
Rank 1996
|
1
|
USA
|
1
|
2
|
2
|
South Korea
|
3
|
8
|
3
|
China
|
2
|
6
|
4
|
Singapore
|
10
|
25
|
5
|
Taiwan
|
18
|
20
|
6
|
North Korea
|
4
|
--
|
7=
|
Russia
|
8
|
4
|
7=
|
UK
|
22
|
5
|
9
|
Hong Kong
|
28
|
27
|
10
|
Japan
|
22
|
11
|
11
|
Vietnam
|
5
|
7
|
12=
|
Canada
|
9
|
16
|
12=
|
Thailand
|
12
|
47
|
14
|
Hungary
|
20
|
3
|
15=
|
Brazil
|
22
|
52
|
15=
|
Italy
|
29
|
25
|
17
|
Philippines
|
36
|
74
|
18
|
Bulgaria
|
29
|
11
|
19
|
Germany
|
27
|
10
|
20=
|
Romania
|
13
|
1
|
20=
|
Indonesia
|
29
|
70
|
22
|
Israel
|
40
|
15
|
23
|
Mexico
|
19
|
53
|
24
|
Iran
|
7
|
9
|
25=
|
Australia
|
6
|
23
|
25=
|
France
|
14
|
32
|
25=
|
Peru
|
16
|
--
|
28
|
Kazakhstan
|
28
|
25
|
29
|
Turkey
|
20
|
19
|
30=
|
Armenia
|
26
|
34
|
30=
|
Croatia
|
15
|
34
|
30=
|
Ukraine
|
11
|
18
|
33
|
Mongolia
|
35
|
44
|
34
|
India
|
34
|
37
|
35=
|
Bangladesh
|
33
|
--
|
35=
|
Belarus
|
39
|
21
|
37=
|
Czech Republic
|
45
|
28
|
37=
|
Sweden
|
60
|
40
|
39
|
Macau
|
35
|
48
|
40
|
Serbia
|
40
|
29
|
41
|
Saudi Arabia
|
41
|
--
|
42
|
Poland
|
17
|
13
|
43
|
Switzerland
|
45
|
62
|
44
|
Netherlands
|
43
|
59
|
45
|
Bosnia - Herzogovina
|
43
|
57
|
46
|
Austria
|
60
|
42
|
47
|
Portugal
|
52
|
13
|
48
|
Syria
|
54
|
--
|
49
|
Spain
|
72
|
48
|
50=
|
Lithuania
|
65
|
32
|
50=
|
Greece
|
51
|
22
|
52
|
Belgium
|
56
|
31
|
53
|
New Zealand
|
49
|
--
|
54
|
Azerbaijan
|
48
|
58
|
55
|
Slovakia
|
33
|
17
|
56
|
Malaysia
|
57
|
72
|
57
|
Argentina
|
52
|
29
|
58
|
South Africa
|
55
|
43
|
59=
|
Costa Rica
|
67
|
--
|
59=
|
Georgia
|
42
|
30
|
61
|
Estonia
|
70
|
55
|
62
|
Tajikistan
|
64
|
--
|
63=
|
Moldova
|
38
|
41
|
63=
|
Slovenia
|
73
|
44
|
63=
|
Cyprus
|
63
|
69
|
66=
|
Sri Lanka
|
70
|
53
|
66=
|
Colombia
|
49
|
46
|
68
|
El Salvador
|
95
|
--
|
69=
|
Albania
|
77
|
67
|
69=
|
Turkmenistan
|
58
|
72
|
71=
|
Finland
|
82
|
39
|
71=
|
Paraguay
|
67
|
--
|
73
|
Macedonia
|
74
|
46
|
74
|
Latvia
|
79
|
33
|
75
|
Ireland
|
77
|
61
|
76
|
Tunisia
|
75
|
--
|
77=
|
Kosovo
|
86
|
--
|
77=
|
Uzbekistan
|
58
|
--
|
79
|
Morocco
|
80
|
65
|
80
|
Nicaragua
|
82
|
--
|
81
|
Denmark
|
69
|
48
|
82
|
Algeria
|
62
|
--
|
83
|
Ecuador
|
80
|
--
|
84=
|
Kyrgyzstan
|
92
|
67
|
84=
|
Norway
|
65
|
37
|
86
|
Venezuela
|
96
|
--
|
87
|
Puerto Rico
|
90
|
--
|
88=
|
Montenegro
|
89
|
|
88=
|
Nigeria
|
88
|
|
90
|
Iceland
|
75
|
56
|
91=
|
Chile
|
97
|
71
|
91=
|
Pakistan
|
85
|
--
|
93
|
Uruguay
|
93
|
--
|
94
|
Trinidad & Tobago
|
82
|
60
|
95
|
Luxemburg
|
97
|
--
|
96=
|
Cambodia
|
86
|
--
|
96=
|
Myanmar
|
--
|
--
|
98
|
Uganda
|
100
|
--
|
99
|
Kenya
|
--
|
--
|
100=
|
Honduras
|
--
|
--
|
100=
|
Madagascar
|
--
|
--
|
102
|
Jamaica
|
102
|
--
|
103
|
Botswana
|
103
|
--
|
104=
|
Egypt
|
||
104=
|
Ghana
|
101
|
--
|
106
|
Tanzania
|
106
|
--
|
107=
|
Iraq
|
--
|
--
|
107=
|
Liechtenstein
|
90
|
--
|
109
|
Laos
|
--
|
--
|