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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]
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. Content is aimed at preschool to 12th grade with peer-reviewed and invited articles."
The foundations for this framework are the Principles and Standards for School Mathematics published by the National Council of Teachers of Mathematics [1] [2] [3] (NCTM) in 2000. A second report focused on statistics education at the collegiate level, the GAISE College Report, was published in 2005.
The Common Core State Standards Initiative, also known as simply Common Core, was an American, multi-state educational initiative begun in 2010 with the goal of increasing consistency across state standards, or what K–12 students throughout the United States should know in English language arts and mathematics at the conclusion of each school grade.
The test is a system-based assessment designed to gauge learning outcomes across target levels in identified periods of basic education. Empirical information on the achievement level of pupils/students serve as a guide for policy makers, administrators, curriculum planners, principles, and teachers, along with analysis on the performance of regions, divisions, schools, and other variables ...
The content of these standards is based heavily on a specific model of learning, constructivism (learning theory). [4] Like reform mathematics, [5] which is distinguished by an emphasis on building on what a child already knows and understands, the standards intend to update the methods of science education to achieve greater effectiveness with children.
A typical sequence of secondary-school (grades 6 to 12) courses in mathematics reads: Pre-Algebra (7th or 8th grade), Algebra I, Geometry, Algebra II, Pre-calculus, and Calculus or Statistics. However, some students enroll in integrated programs [ 3 ] while many complete high school without passing Calculus or Statistics.
Similarly, the AMC 10 and AMC 12 test mathematics through the 10th and 12th grade curriculum, respectively. [2] Before the 1999-2000 academic year, the AMC 8 was known as the AJHSME (American Junior High School Mathematics Examination), and the AMC 12 was known as the AHSME (American High School Mathematics Examination).