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German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers. One of the central concepts in number theory is that of the prime number , and there are many questions about primes that appear simple but whose ...
In the United States, mathematics curriculum in elementary and middle school is integrated, while in high school it traditionally has been separated by topic, with each topic usually lasting for the whole school year. However, some districts have integrated curricula, or decided to try integrated curricula after Common Core was adopted.
Since 2002, the USAMO has been a six-question, nine-hour mathematical proof competition spread out over two days. (The IMO uses the same format.) On each day, four and a half hours are given for three questions. Each question is graded on a scale from 0 to 7, with a score of 7 representing a proof that is mathematically sound.
The American Invitational Mathematics Examination (AIME) is a selective and prestigious 15-question 3-hour test given since 1983 to those who rank in the top 5% on the AMC 12 high school mathematics examination (formerly known as the AHSME), and starting in 2010, those who rank in the top 2.5% on the AMC 10. Two different versions of the test ...
Similarly, the AMC 10 and AMC 12 test mathematics through the 10th and 12th grade curriculum, respectively. [2] Before the 1999-2000 academic year, the AMC 8 was known as the AJHSME (American Junior High School Mathematics Examination), and the AMC 12 was known as the AHSME (American High School Mathematics Examination).
Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...
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Integrated mathematics is the term used in the United States to describe the style of mathematics education which integrates many topics or strands of mathematics throughout each year of secondary school. Each math course in secondary school covers topics in algebra, geometry, trigonometry and functions. Nearly all countries throughout the ...
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