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Vladimir Igorevich Arnold was a Soviet and Russian mathematician. He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and contributed to several areas, including geometrical theory of dynamical systems theory, algebra, catastrophe theory, topology, real algebraic geometry, symplectic geometry, symplectic topology, differential equations, classical mechanics, differential geometric approach to hydrodynamics, geometric analysis and singularity theory, including posing the ADE classification problem.
In science education, a word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation. As most word problems involve a narrative of some sort, they are sometimes referred to as story problems and may vary in the amount of technical language used.
In contemporary education, mathematics education—known in Europe as the didactics or pedagogy of mathematics—is the practice of teaching, learning, and carrying out scholarly research into the transfer of mathematical knowledge.
New Mathematics or New Math was a dramatic but temporary change in the way mathematics was taught in American grade schools, and to a lesser extent in European countries and elsewhere, during the 1950s–1970s.
Mu Alpha Theta (ΜΑΘ) is an International mathematics honor society for high school and two-year college students. As of June 2015, it served over 108,000 student members in over 2,200 chapters in the United States and 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. Its name is a rough transliteration of math into Greek. Buchholz High School in Gainesville FL won first place in 2023 for the 15th time in the annually held national convention.
Principles and Standards for School Mathematics (PSSM) are guidelines produced by the National Council of Teachers of Mathematics (NCTM) in 2000, setting forth recommendations for mathematics educators. They form a national vision for preschool through twelfth grade mathematics education in the US and Canada. It is the primary model for standards-based mathematics.
Pre-algebra is a common name for a course in middle school mathematics in the United States, usually taught in the 7th grade or 8th grade. The objective of it is to prepare students for the study of algebra. Usually, Algebra I is taught in the 8th or 9th grade.
The Independent School Entrance Examination (ISEE) is an entrance exam used by many independent schools and magnet schools in the United States. Developed and administered by the Educational Records Bureau (ERB), the ISEE has four levels: the Primary level, for entrance to grades 2–4; Lower level, for entrance in grades 5–6; Middle level, for entrance in grades 7–8; Upper level, for entrance in grades 9–12. All levels consist of five sections: Verbal Reasoning, Quantitative Reasoning, Reading Comprehension, Mathematics Achievement, and a 30-minute essay. The ISEE can be seen as a parallel to the Secondary School Admission Test, or SSAT. It is currently administered by Measurement Incorporated.
The Texas Math and Science Coaches Association, or TMSCA, is an organization for coaches of academic University Interscholastic League teams in Texas elementary schools, middle schools and high schools, specifically those that compete in mathematics and science-related tests.
The Australian Mathematics Competition is a mathematics competition run by the Australian Maths Trust for students from year 3 up to year 12 in Australia, and their equivalent grades in other countries.
Traditional mathematics was the predominant method of mathematics education in the United States in the early-to-mid 20th century. This contrasts with non-traditional approaches to math education. Traditional mathematics education has been challenged by several reform movements over the last several decades, notably new math, a now largely abandoned and discredited set of alternative methods, and most recently reform or standards-based mathematics based on NCTM standards, which is federally supported and has been widely adopted, but subject to ongoing criticism.
Math wars is the debate over modern mathematics education, textbooks and curricula in the United States that was triggered by the publication in 1989 of the Curriculum and Evaluation Standards for School Mathematics by the National Council of Teachers of Mathematics (NCTM) and subsequent development and widespread adoption of a new generation of mathematics curricula inspired by these standards.
Mathematical anxiety, also known as math phobia, is a feeling of tension and anxiety that interferes with the manipulation of numbers and the solving of mathematical problems in daily life and academic situations.
Sideways Arithmetic From Wayside School is a children's novel by Louis Sachar in the Wayside School series. The book contains mathematical and logic puzzles for the reader to solve, presented as what The New Yorker called "absurdist math problems." The problems are interspersed with characteristically quirky stories about the students at Wayside School.
The Foundations of Arithmetic is a book by Gottlob Frege, published in 1884, which investigates the philosophical foundations of arithmetic. Frege refutes other idealist and materialist theories of number and develops his own platonist theory of numbers. The Grundlagen also helped to motivate Frege's later works in logicism.
Singapore math is a teaching method based on the national mathematics curriculum used for first through sixth grade in Singaporean schools. The term was coined in the United States to describe an approach originally developed in Singapore to teach students to learn and master fewer mathematical concepts at greater detail as well as having them learn these concepts using a three-step learning process: concrete, pictorial, and abstract. In the concrete step, students engage in hands-on learning experiences using physical objects which can be everyday items such as paper clips, toy blocks or math manipulates such as counting bears, link cubes and fraction discs. This is followed by drawing pictorial representations of mathematical concepts. Students then solve mathematical problems in an abstract way by using numbers and symbols.
Nonstandard analysis and its offshoot, nonstandard calculus, have been criticized by several authors, notably Errett Bishop, Paul Halmos, and Alain Connes. These criticisms are analyzed below.
A mathematical exercise is a routine application of algebra or other mathematics to a stated challenge. Mathematics teachers assign mathematical exercises to develop the skills of their students. Early exercises deal with addition, subtraction, multiplication, and division of integers. Extensive courses of exercises in school extend such arithmetic to rational numbers. Various approaches to geometry have based exercises on relations of angles, segments, and triangles. The topic of trigonometry gains many of its exercises from the trigonometric identities. In college mathematics exercises often depend on functions of a real variable or application of theorems. The standard exercises of calculus involve finding derivatives and integrals of specified functions.
Alfred S. Posamentier is an American educator and a lead commentator on American math and science education, regularly contributing to The New York Times and other news publications. He has created original math and science curricula, emphasized the need for increased math and science funding, promulgated criteria by which to select math and science educators, advocated the importance of involving parents in K-12 math and science education, and provided myriad curricular solutions for teaching critical thinking in math.
Marian Small is a Canadian educational researcher, academic, author, and public speaker. She has co-authored mathematics textbooks used in Canada, Austria, and the United States, and is a proponent of a constructivist approach to mathematical instruction within K–12 classrooms.
References
- 1 2 Flaubert, Gustave; Lettre à Caroline, 16 mai 1841 Archived 2016-03-24 at the Wayback Machine , Correspondance, première série (1830–1850), G. Charpentier et Cie, Éditeurs, Paris, 1887
- 1 2 Flaubert, Gustave (1926–1954). Oeuvres complètes de Gustave Flaubert : correspondance (in French). Vol. 1. Paris. p. 140.
{{cite book}}: CS1 maint: location missing publisher (link) - ↑ "Mathematical Quotations – F". Math.furman.edu. Archived from the original on 2018-10-07. Retrieved 2018-05-24.
- 1 2 3 4 Verschaffel, L.; Greer, B.; de Corte, E. (2000). "Making Sense of Word Problems". Educational Studies in Mathematics . 42 (2): 211–213. doi:10.1023/A:1004190927303. JSTOR 3483286. S2CID 116924004.
- 1 2 3 Molina, Natalia; Strohmaier, Anselm; Reiss, Kristina (November 10, 2018). ""I added the numbers, it's math!" How sense-making in "age of the captain" problems differs between a mathematics classroom and a language classroom". British Society for Research into Learning Mathematics.
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