24). In order to speak specifically to grade level, the process standards were broken down by grade spans. The middle school grades were represented by standards 5-8, as these are commonly the grades that represent middle school. This presentation of process standards specifically presented by grade levels were called content standards. These were updated in 2000 as well. The 1989 content standards included the following ten standards: number and number relationships, number systems and theory, computation and estimation, patterns and functions, algebra, statistics, probability, geometry, and measurement. In 2000, those ten standards continued to be fully represented, however they were pared down to five areas: number and operations, algebra, geometry, measurement, and data analysis (Krulic, 2003, p. 21). Major changes occurred...
One major change was a shift in the attitude and expectations for computations. Though computations were still taught, they were no longer taught until mastery in lieu of higher level concepts, as had been done in the past (Krulic, 2003, p. 25). Arguably the largest change was the degree to which algebra was being included (krulic, 2003, p. 26). The updates in 2000 hoped to provide students a new way of thinking about mathematics, rather than simply focusing on rote memorization and answers.
As Jacko and Sears emphasize, "As the scope and sophistication of digital systems become ubiquitous, the pressure for improved human-computer interaction methodologies will continue to increase" (2003, p. 15). As noted above, the enabling technologies for a ubiquitous computing environment already exist to a large degree, but there are three things still missing from the picture that will provide the level of seamless interaction demanded by such an environment:
For instance, classical mathematicians by definition rely on Plato's theory of forms as the underlying basis of their mathematical worldview. The Platonist assumes the existence of true, immutable, and universal forms and structures that the mathematician approaches through the language of numbers and equations. For instance, the classical mathematician holds to the Platonic belief in the expansion of pi; to approach the expansion of pi from any other perspective
Rubik's cube has been around for roughly two generations and it continues to fascinate. This report will focus on the different facets and historical facts surrounding the cube and what has happened with the Cube over the years. The depth and breadth to which mathematics is needed to solve the cube as well as the different overall methods that can be used to solve the cube will be summarized. The
An article by Bernard Stahl, "The responsible company of the future: reflective responsibility in business," that the one thing that is certain about the future is its uncertainty. While uncertainty has always been a constant of human life, due to technological and social developments, risk and uncertainty are going to be defining features that future companies of the future will have to face. Acting responsibly will allow companies to
PSYCHOSOCIAL ISSUES AFFECTING African-American STUDENTS PSYCHOSOCIAL ISSUES AFFECTING African-American STUDENTS "They never want to hear what I have to say…it doesn't matter who started a fight, or what a teacher said to you that made you mad. You might have something heavy going on at home but no one asks. They're not interested. They just want you out of the school." 17-year-old 11th grade African-American female student, NYC (Sullivan, 2007, p. iii). In New York City, one of
Ridgewood Reservoir - Introduction The grand and historic location in Highland Park, New York -- that is known as the Ridgewood Reservoir -- sits on a ridge that was formed by the second Pleistocene Period (Wisconsin's ice sheet's terminal moraine) about 12,000 years ago. The site offers scenic views of the Atlantic Ocean, and of several nearby New York cemeteries (East New York, Woodhaven, and the Rockaways). Presently it is what
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