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The unit quaternions give a group structure on the 3-sphere S 3 isomorphic to the groups Spin(3) and SU(2), i.e. the universal cover group of SO(3). The positive and negative basis vectors form the eight-element quaternion group .
Investigations was developed between 1990 and 1998. It was just one of a number of reform mathematics curricula initially funded by a National Science Foundation grant. The goals of the project raised opposition to the curriculum from critics (both parents and mathematics teachers) who objected to the emphasis on conceptual learning instead of instruction in more recognized specific methods ...
In mathematics, a module is a generalization of the notion of vector space in which the field of scalars is replaced by a (not necessarily commutative) ring. The concept of a module also generalizes the notion of an abelian group , since the abelian groups are exactly the modules over the ring of integers .
Square packing in a square is the problem of determining the maximum number of unit squares (squares of side length one) that can be packed inside a larger square of side length .
The Principles and Standards for School Mathematics was developed by the NCTM. The NCTM's stated intent was to improve mathematics education. The contents were based on surveys of existing curriculum materials, curricula and policies from many countries, educational research publications, and government agencies such as the U.S. National Science Foundation. [3]
This is one-half of the harmonic mean of 6 and 4: 2·6·4 / 6 + 4 = 4.8. That is, the appropriate average for the two types of pump is the harmonic mean, and with one pair of pumps (two pumps), it takes half this harmonic mean time, while with two pairs of pumps (four pumps) it would take a quarter of this harmonic mean time.
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.
Students register for the exam through high schools that are members of the College Board. The test is composed of two sections: reading and Writing and Math. Each section has two modules. Each Reading and Writing module lasts 32 minutes, and each Math module lasts 35 minutes, for a total of 2 hours and 14 minutes.