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Mathematics

Mathematics teachers
The following people all taught mathematics at some stage in their lives, although they are better known for other things:Lewis Carroll, pen name of British author Charles Dodgson, lectured in mathema ...
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Methods
The method or methods used in any particular context are largely determined by the objectives that the relevant educational system is trying to achieve. Methods of teaching mathematics include the fol ...
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Content and age levels
Different levels of mathematics are taught at different ages and in somewhat different sequences in different countries. Sometimes a class may be taught at an earlier age than typical as a special or ...
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Standards
Throughout most of history, standards for mathematics education were set locally, by individual schools or teachers, depending on the levels of achievement that were relevant to, realistic for, and co ...
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Research
"Robust, useful theories of classroom teaching do not yet exist". However, there are useful theories on how children learn mathematics and much research has been conducted in recent decades to explore ...
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Objectives
At different times and in different cultures and countries, mathematics education has attempted to achieve a variety of different objectives. These objectives have included:The teaching of basic numer ...
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History
Elementary mathematics was part of the education system in most ancient civilisations, including Ancient Greece, the Roman empire, Vedic society and ancient Egypt. In most cases, a formal education wa ...
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Mathematics education
Researchers in mathematics education are primarily concerned with the tools, methods and approaches that facilitate practice or the study of practice, however mathematics education research, known on ...
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Applications
Applications Techniques from analysis are also found in other areas such as:Physical sciences The vast majority of classical mechanics, relativity, and quantum mechanics is based on applied analysis, ...
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Other topics in mathematical analysis
Calculus of variations deals with extremizing functionals, as opposed to ordinary calculus which deals with functions.Harmonic analysis deals with Fourier series and their abstractions.Geometric analy ...
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Main branches
Real analysis Main article: Real analysisReal analysis (traditionally, the theory of functions of a real variable) is a branch of mathematical analysis dealing with the real numbers and real-valued fu ...
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Important concepts
Main article: Metric spaceIn mathematics, a metric space is a set where a notion of distance (called a metric) between elements of the set is defined.Much of analysis happens in some metric space; the ...
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History
Early results in analysis were implicitly present in the early days of ancient Greek mathematics. For instance, an infinite geometric sum is implicit in Zeno's paradox of the dichotomy. Later, Greek m ...
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Mathematical analysis
Mathematical analysis is a branch of mathematics that includes the theories of differentiation, integration, measure, limits, infinite series, and analytic functions. These theories are usually studie ...
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Contemporary geometry
Euclidean geometry The 421polytope, orthogonally projected into the E8 Lie group Coxeter planeEuclidean geometry has become closely connected with computational geometry, computer graphics, convex geo ...
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