Obama Promotes Investment in Math, Science Education

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Time To Take Responsibility For Math And Science Education

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Math Taught by Children Support President Obama's Math Proposal 

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 Obama pushes math and science

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What Is Infinity?

1/0 = ∞ or 1/∞ = 0?

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U.S lag in science, math a disaster in the making

By William J. Bennett, CNN Contributor

February 9, 2012 -- Updated 1502 GMT (2302 HKT)

 

 

President Barack Obama meeting with a participant from the second annual White House Science Fair on February 7.

 

Editor's note: William J. Bennett, a CNN contributor, is the author of "The Book of Man: Readings on the Path to Manhood." He is a former secretary of Education and a senior adviser to Project Lead the Way, a nonprofit organization dedicated to providing STEM education curricular programs.

(CNN) -- Almost everyone, from educators to government officials to industry experts, laments the lackluster abilities and performance of our nations' students in science, technology, engineering and math (know as STEM education).
Two indicators are particularly worrisome, especially as this country experiences greater global competition and high unemployment. American students score 23rd in math and 31st in science when compared with 65 other top industrial countries. In math, we are beaten by countries from Lichtenstein and Slovakia to the Netherlands and Singapore. In science, we are beaten by countries from New Zealand and Estonia to Finland and Hungary.
For the United States, which led the way in space after Sputnik and showed the way in technological development and economic growth for the last 40 years, this is more than an embarrassment. And, for the future of our own GDP, economic well-being, and employer and employment needs, this is a disaster in the making. If the United States wishes to remain the most competitive and innovative country in the world -- never mind just another competitive and innovative country in the constellation of industrial nations -- this cannot stand.

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Sample Spaces and Events

An experiment is an occurrence we observe whose result is uncertain.
An experiment is an occurrence whose result is uncertain.

 An outcome is some specific aspect of the experiment that we observe.
 The sample space for the experiment is the set of all possible outcomes.
 Event
Given a sample space S, an event E is a subset of S. The outcomes in E are called the favorable outcomes. We say that E occurs in a particular experiment if the outcome of that experiment is one of the elements of E, that is, if the outcome of the experiment is favorable.

The event E consists of all outcomes in S which are favorable.

The complement, E', of an event E is the event that E does not occur. It is the set of all outcomes not in E. 


The union, EF, of events E and F is the event that either E occurs or F occurs (or both).

The interectsion, EF, of events E and F is the event that both E and F occur.




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Group (mathematics)

Group theory is a powerful formal method for analyzing abstract and physical systems in which symmetry is present and has surprising importance in physics, especially quantum mechanics.
 In mathematics, a group is an algebraic structure consisting of a set together with an operation that combines any two of its elements to form a third element.

To qualify as a group, the set and the operation must satisfy a few conditions called group axioms, namely closure, associativity, identity and invertibility

Groups share a fundamental kinship with the notion of symmetry

The concept of a group arose from the study of polynomial equations

 

The possible manipulations of this Rubik's Cube form a group.

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Calculus Made Easy

Calculus Made Easy

 

 

 

 

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