Tuesday, August 16, 2011

Elementary mathematics | World Articles

Elementary mathematics

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Elementary mathematics together concepts and mathematical techniques in primary and secondary school education. They stand as mathematics of higher education and, in France, some old classes of mathematics graduate and special.

The term has even appointed a class preparing scientific Bachelor?s degree.

Details of the knowledge that constitute the basic mathematics therefore varies from one country to another and also fluctuates with the reforms. France in 2011, it can be summed up in a few branches not disjunctive:

  • the arithmetic of the natural integers and fractions, decimal and real numbers handling even complex;
  • classical geometry in the plane and in the three dimensional space, pursued by the Vector calculus and analytic geometry;
  • elementary algebra with the literal calculation and treatment of certain low degree polynomial equations;
  • the algorithms of the control structures;
  • the practice of the reasoning and logical deduction;
  • analysis of differentiable functions of one real variable and the study of the suites;
  • arrays of digital data management and statistics;
  • probabilities on finite set or continuous Act and sampling.

Notes

  1. ? the term is cited by Michelet, my journal, June 1820, p. 56.
  2. ? according to articles ?Mathematics? and ?special? to Littr?, class of mathematics elementary, or math Basic, included arithmetic and geometry elements and preparations for the special mathematics class, where it studied the high algebra and application of algebra to geometry.
  3. ? the conjunction of these two aspects is also questioned by Stella Baruk in the introduction to his Dictionary of elementary mathematics.

Bibliography

Examples of reference books
  • (fr) Stella Baruk, Dictionary of elementary mathematics, Paris, 1992; Nouv. Ed. 1995 (ISBN 978-2-02-026028-2).
  • (en) Liping Ma, Knowing and teaching elementary mathematics: teachers? understanding of fundamental mathematics in China and the United States, Mahwah (NJ) and London, 1999, (ISBN 9780805829099).
  • (de) Johannes Tropfke, Geschichte der elementar-mathematik in systematischer Darstellung, Leipzig, 1902-1903 (online); Nouv. Ed. 1980 (ISBN 3-11-004893-0).

See also

Wikiversity has courses on ? mathematics of College (France) .

Wikiversity has courses on ? course of mathematics for high school (France) .

  • Mathematics
  • Teaching of mathematics

Elementary mathematics

Areas of mathematics Classic algebra ?? Elementary arithmetic ?? Analysis ?? Real analysis ?? Digital suites ?? Classical geometry ?? Logic ?? Probabilities ?? Statistics
Classic algebra Addition ? Multiplication ? Division ? Order of operations ? Addition table ? Multiplication table ? Associativity ? Commutativity ? Distributivity ? Transitivity ? Proportionality ? Percentage ? Rule of three ? Fraction ? Equation of first degree ? Equation of the second degree ? Equation system
Classical geometry Geometry of the triangle ? Quadrilateral ? Cartesian coordinates ? Pythagorean theorem ? Thales theorem ? Theorem of Thales (circle) ? Theorem environments ? Al-Kashi theorem ? Rotation plane ? Scale ? Translation ? Similarity
Arithmetic Multiple ? Divisor ? Division Euclidean ? Number first ? Congruence integer ? Integer gcd ? More small common multiple ? Test of divisibility ? Evidence by nine
Suites and functions Reference service ? Function affine ? Function of the second degree ? Function power ? Function trigonometric ? Function logarithm ? Exponential function ? Arithmetic Suite ? Suite geometric ? Limit ? Diversion ? Operations on limits ? Derived normal ? Derivatives operations
Logic Logic (elementary mathematics) ? Demonstration ? Counterexample ? Mathematical difficulty
Statistics and probability Statistics (elementary mathematics) ? Position criteria ? Criteria of dispersion ? Statistical series in two variables ? Probability (elementary mathematics) ? Probability tree ? Basic random variables

Source: http://www.machiineproject.com/elementary-mathematics/

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