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In mathematical analysis, a Young measure is a parameterized measure that is associated with certain subsequences of a given bounded sequence of measurable functions. They are a quantification of the oscillation effect of the sequence in the limit.
A reference to a standard or choice-free presentation of some mathematical object (e.g., canonical map, canonical form, or canonical ordering). The same term can also be used more informally to refer to something "standard" or "classic". For example, one might say that Euclid's proof is the "canonical proof" of the infinitude of primes.
Youngs worked in geometric topology, for example, questions on the Frechét-equivalence of topological maps. [1] He is famous for the Ringel–Youngs theorem ( i.e. Ringel and Youngs's 1968 proof of the Heawood conjecture), [ 2 ] which is closely related to the analogue of the four-color theorem for surfaces of higher genus.
Mathematics educators, such as Alan Schoenfeld, question whether traditional mathematics actually teach mathematics as understood by professional mathematicians and other experts. Instead, Schoenfeld implies, students come to perceive mathematics as a list of disconnected rules that must be memorized and parroted. [ 4 ]
NCTM does not conduct research in mathematics education, but it does publish the Journal for Research in Mathematics Education (JRME). JRME is devoted to the interests of teachers of mathematics and mathematics education at all levels—preschool through adult. JRME is a forum for disciplined inquiry into the teaching and learning of ...
Reform mathematics is an approach to mathematics education, particularly in North America. It is based on principles explained in 1989 by the National Council of Teachers of Mathematics (NCTM). The NCTM document Curriculum and Evaluation Standards for School Mathematics ( CESSM ) set forth a vision for K–12 (ages 5–18) mathematics education ...
The free PDF copy is made available by the RCIN –Digital Repository of the Scientifics Institutes. Young, L. C. (January 1942), "Generalized Surfaces in the Calculus of Variations", Annals of Mathematics , Second Series, 43 (1): 84– 103, doi : 10.2307/1968882 , JFM 68.0227.03 , JSTOR 1968882 , MR 0006023 , Zbl 0063.09081 .
In mathematics education, a representation is a way of encoding an idea or a relationship, and can be both internal (e.g., mental construct) and external (e.g., graph). Thus multiple representations are ways to symbolize, to describe and to refer to the same mathematical entity. They are used to understand, to develop, and to communicate ...