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In mathematics, particularly topology, an atlas is a concept used to describe a manifold. An atlas consists of individual charts that, roughly speaking, describe individual regions of the manifold. In general, the notion of atlas underlies the formal definition of a manifold and related structures such as vector bundles and other fiber bundles .
The ATLAS of Finite Groups, often simply known as the ATLAS, is a group theory book by John Horton Conway, Robert Turner Curtis, Simon Phillips Norton, Richard Alan Parker and Robert Arnott Wilson (with computational assistance from J. G. Thackray), published in December 1985 by Oxford University Press and reprinted with corrections in 2003 (ISBN 978-0-19-853199-9).
Mathematics education in the United States varies considerably from one state to the next, and even within a single state. However, with the adoption of the Common Core Standards in most states and the District of Columbia beginning in 2010, mathematics content across the country has moved into closer agreement for each grade level.
NCTM publishes three official journals. All are available in print and online versions. Mathematics Teacher: Learning and Teaching PK-12.According to the NCTM, this journal "reflects the current practices of mathematics education, as well as maintaining a knowledge base of practice and policy in looking at the future of the field.
The incorporation of classroom assessment techniques is an age-old concept which teachers have been using and practicing for years. Whether a teacher uses a technique learned in training, or simply a strategy conjured up on their own, teachers need to know if their methods are successful and many feel that the desire to understand students' comprehension is instinctive.
Flipped classroom teaching at Clintondale High School in Michigan, United States. A flipped classroom is an instructional strategy and a type of blended learning.It aims to increase student engagement and learning by having pupils complete readings at home, and work on live problem-solving during class time. [1]
Classroom walkthrough is a mode of professional development for teachers. Clinical supervision, or the practice of classroom observation and feedback , has been one of the most often used tool in evaluating teacher performance, but the extent to which it helps teachers to improve their instruction is questionable. [ 1 ]
A torus is an orientable surface The Möbius strip is a non-orientable surface. Note how the disk flips with every loop. The Roman surface is non-orientable.. In mathematics, orientability is a property of some topological spaces such as real vector spaces, Euclidean spaces, surfaces, and more generally manifolds that allows a consistent definition of "clockwise" and "anticlockwise". [1]