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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]
A more recent study has shown that spaced repetition can benefit tasks such as solving math problems. In a study conducted by Pashler, Rohrer, Cepeda, and Carpenter, [17] participants had to learn a simple math principle in either a spaced or massed retrieval schedule. The participants given the spaced repetition learning tasks showed higher ...
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.
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.
Bloom's taxonomy serves as the backbone of many teaching philosophies, in particular, those that lean more towards skills rather than content. [8] [9] These educators view content as a vessel for teaching skills. The emphasis on higher-order thinking inherent in such philosophies is based on the top levels of the taxonomy including application ...
A key breakthrough in ITS research was the creation of The LISP Tutor, a program that implemented ITS principles in a practical way and showed promising effects increasing student performance. The LISP Tutor was developed and researched in 1983 as an ITS system for teaching students the LISP programming language (Corbett & Anderson, 1992). [12]
Rote learning is widely used in the mastery of foundational knowledge.Examples of school topics where rote learning is frequently used include phonics in reading, the periodic table in chemistry, multiplication tables in mathematics, anatomy in medicine, cases or statutes in law, basic formulae in any science, etc.
Breaking down the skills that need to be taught, one step at a time, is more beneficial than teaching a large amount of knowledge all at the same time. This concept was developed based on the Zone of Proximal Development theory by Lev Vygotsky (1978). In practice, students start a lesson with higher expectations and in a positive class environment.
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