Discrete mathematics is the study of mathematical structures that can be considered "discrete" rather than "continuous". Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics in "continuous mathematics" such as real numbers, calculus or Euclidean geometry. Discrete objects can often be enumerated by integers; more formally, discrete mathematics has been characterized as the branch of mathematics dealing with countable sets. However, there is no exact definition of the term "discrete mathematics".
Synthetic geometry is geometry without the use of coordinates. It relies on the axiomatic method for proving all results from a few basic properties initially called postulate, and at present called axioms.
ACSL, or the American Computer Science League, is an international computer science competition among more than 300 schools. Originally founded in 1978 as the Rhode Island Computer Science League, it then became the New England Computer Science League. With countrywide and worldwide participants, it became the American Computer Science League. It has been in continuous existence since 1978. Each yearly competition consists of four contests. All students at each school may compete but the team score is the sum of the best 3 or 5 top scores. Each contest consists of two parts: a written section and a programming section. Written topics tested include "what does this program do?", digital electronics, Boolean algebra, computer numbering systems, recursive functions, data structures, lisp programming, regular expressions and Finite State Automata, bit string flicking, graph theory, assembly programming and prefix/postfix/infix notation.
The Canadian Computing Competition (CCC) is an annual programming competition for secondary school students in Canada, organized by the Centre for Education in Mathematics and Computing at the University of Waterloo. Stage 1 is written at high schools and can be written in the programming language of the students' choice, with only a few, such as Maple and Mathematica, disallowed. There are two levels of problems presented, Junior and Senior. The top 20 students in the Senior division are invited to the University of Waterloo to participate in Stage 2, the Canadian Computing Olympiad (CCO). CCO participants are restricted to languages permitted at the IOI, which currently includes only Java, C and C++.. The CCO is used to select students to represent Canada at the IOI.
The United States of America Mathematical Olympiad (USAMO) is a highly selective high school mathematics competition held annually in the United States. Since its debut in 1972, it has served as the final round of the American Mathematics Competitions. In 2010, it split into the USAMO and the United States of America Junior Mathematical Olympiad (USAJMO).
The American Mathematics Competitions (AMC) are the first of a series of competitions in secondary school mathematics that determine the United States of America's team for the International Mathematical Olympiad (IMO). The selection process takes place over the course of roughly five stages. At the last stage, the US selects six members to form the IMO team. The 1994 US IMO Team is the first of the only two teams ever to achieve a perfect score (all six members earned perfect marks), and is colloquially known as the "dream team".
Math League is a math competition for elementary, middle, and high school students in the United States, Canada, and other countries. The Math League was founded in 1977 by two high school mathematics teachers, Steven R. Conrad and Daniel Flegler. Math Leagues, Inc. publishes old contests through a series of books entitled Math League Press. The purpose of the Math League Contests is to provide students "an enriching opportunity to participate in an academically-oriented activity" and to let students "gain recognition for mathematical achievement".
Mu Alpha Theta (ΜΑΘ) is the United States mathematics honor society for high school and two-year college students. In June 2015, it served over 108,000 student members in over 2,200 chapters in the United States and in 20 foreign countries. Its main goals are to inspire keen interest in mathematics, develop strong scholarship in the subject, and promote the enjoyment of mathematics in high school and two year college students. The name is a rough transliteration of math into Greek. Buchholz High School won first place in 2022 for the 14th time in the annually held national convention.
The Texas Math and Science Coaches Association or TMSCA is an organization for coaches of academic University Interscholastic League teams in Texas middle schools and high schools, specifically those that compete in mathematics and science-related tests.
The National Mathematics Talent Contest or NMTC is a national-level mathematics contest conducted by the Association of Mathematics Teachers of India (AMTI). It is strongest in Tamil Nadu, which is the operating base of the AMTI. The AMTI is a pioneer organisation in promoting, and conducting, Maths Talent Tests in India. In the National level tests 66,066 students, from 332 institutions spread all over India, participated at the screening level. Of these, 10% were selected for the final test. For the benefit of final level contestants, and the chosen few for INMO, special orientation camps were conducted. Merit certificates and prizes were awarded to the deserving students.
In the U.S., the SAT Subject Test in Mathematics Level 2 was a one-hour multiple choice test. The questions covered a broad range of topics. Approximately 10-14% of questions focused on numbers and operations, 48-52% focused on algebra and functions, 28-32% focused on geometry, and 8-12% focused on data analysis, statistics and probability. Compared to Mathematics 1, Mathematics 2 was more advanced. Whereas the Mathematics 1 test covered Algebra II and basic trigonometry, a pre-calculus class was good preparation for Mathematics 2. On January 19, 2021, the College Board discontinued all SAT Subject tests, including the SAT Subject Test in Mathematics Level 2. This was effective immediately in the United States, and the tests were to be phased out by the following summer for international students. This was done as a response to changes in college admissions due to the impact of the COVID-19 pandemic on education.
The SAT Subject Test in Mathematics Level 1 was the name of a one-hour multiple choice test given on algebra, geometry, basic trigonometry, algebraic functions, elementary statistics and basic foundations of calculus by The College Board. A student chose whether to take the test depending upon college entrance requirements for the schools in which the student is planning to apply. Until 1994, the SAT Subject Tests were known as Achievement Tests; and from 1995 until January 2005, they were known as SAT IIs. Mathematics Level 1 was taken 109,048 times in 2006. The SAT Subject Test in Mathematics Level 2 covered more advanced content.
Generally you need to have completed a semester of a pre-calculus class with a solid “B” or better to feel comfortable on the Math 1, whereas the content of the Math 2 test extends through Algebra II and basic trigonometry, precalculus, and basic calculus.
The Rhode Island Mathematics League (RIML) competition consists of four meets spanning the entire year. It culminates at the state championship held at Bishop Hendricken High School. Top schools from the state championship are invited to the New England Association of Math Leagues (NEAML) championship.
Mathematics is one of several academic events sanctioned by the University Interscholastic League. It is also a competition held by the Texas Math and Science Coaches Association, using the same rules as the UIL.
The Intermediate Math League of Eastern Massachusetts is a math league for middle schools across Eastern Massachusetts. A brief history of IMLEM is given in its By-Laws:
The first contest of the Intermediate Math League was held in March, 1965. This meeting was viewed as an experiment to determine the advisability of this type of academic competition for the age levels of students in grades 7 through 9. Enthusiasm and commitment to the contest idea spread quickly. Throughout the years, the League has grown in membership from ten to forty three schools. Students have the honor of representing their school in an academic competition, while interacting academically and socially with students from other communities. Advisors have the opportunity to discuss and compare their programs in mathematics. In 1986, the academic competition was redesigned to accommodate the regional change from junior high schools to middle schools. Teams then consisted of students in grades 7 and 8. Sixth grade students were allowed to participate as seventh graders.
Lillian Osborne High School is a high school located in the Terwillegar community of Edmonton, Alberta, Canada, and serves the south west area of the city for Edmonton Public Schools. It was named in 2009 in honour of Edmonton's first female school teacher, Lillian Osborne, who was 20-years-old when she started teaching in 1889 in what was then the town of Edmonton, North-West Territories; the school named for her has a larger "population" than the entire population of Edmonton when she started teaching.
Problems, Problems, Problems is a series of educational mathematics textbooks ranging from grade 7-12. The math questions are from previous math contests held by the Centre for Education in Mathematics and Computing at the University of Waterloo. The series is a resource to complement the Canadian high school curriculum and for self-development, although it is also used to study for the CEMC Math Contests. Each combined grade level has several book volumes. Each book contains around 300 questions, and is categorized into various sections. Each question has a reference number in the form "year-contest-question number".
Académie Ste. Cécile International School, commonly referred to as ASCIS or Ste. Cécile, is a private school located in the South Windsor neighbourhood of Windsor, Ontario, Canada.
The Illinois Council of Teachers of Mathematics (ICTM) is an organization of mathematics educators in the US state of Illinois. An affiliate of the National Council of Teachers of Mathematics and the National Council of Supervisors of Mathematics, the ICTM was founded in 1949 with 90 members.
