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Requiring Algebra II for high school graduation gained traction across the United States in the early 2010s. [52] The Common Core mathematical standards recognize both the sequential as well as the integrated approach to teaching high-school mathematics, which resulted in increased adoption of integrated math programs for high school.
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]
The book contains specific algebraic explanations for each of the above operations. Most of the information in this article is from the original book. The algorithms/operations for multiplication, etc., can be expressed in other more compact ways that the book does not specify, despite the chapter on algebraic description. [a]
For example, most American standards now require children to learn to recognize and extend patterns in kindergarten. This very basic form of algebraic reasoning is extended in elementary school to recognize patterns in functions and arithmetic operations, such as the distributive law, a key principle for doing high school algebra.
Principles and Standards for School Mathematics was championed by educators, administrators and some mathematicians [11] as raising standards for all students; others criticized it for its prioritizing the understanding of processes over the learning of standard calculation procedures.
The new curriculum was inspired by the seminar reports from the Organisation for Economic Co-operation and Development in the early 1960s [4] and by the Cambridge Conference on School Mathematics (1963), which also inspired the Comprehensive School Mathematics Program. [3] [5] There were some interactions among these initiatives in the early ...