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A bar model used to solve an addition problem. This pictorial approach is typically used as a problem-solving tool in Singapore math. Singapore math teaches students mathematical concepts in a three-step learning process: concrete, pictorial, and abstract. [3] This learning process was based on the work of an American psychologist, Jerome Bruner.
Criticism of traditional mathematics instruction originates with advocates of alternative methods of instruction, such as Reform mathematics.These critics cite studies, such as The Harmful Effects of Algorithms in Grades 1–4, which found specific instances where traditional math instruction was less effective than alternative methods.
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 teaching method is a set of principles and methods used by ... teachers are the main authority figure in this model. ... can be effective in teaching Math, Science ...
Students then plan the strategies, methods, and concrete materials they will use to solve the problem. The teacher will circulate and make observations about the ways students are interacting, and will note the mathematical language they are using as well as the mathematical models they are employing to solve the problem.
The Moore method is a deductive manner of instruction used in advanced mathematics courses. It is named after Robert Lee Moore, a famous topologist who first used a stronger version of the method at the University of Pennsylvania when he began teaching there in 1911. (Zitarelli, 2004)
The findings from Project Follow Through, conducted in a variety of selected communities throughout the United States, suggest that Direct Instruction is the most effective model for teaching academic skills and for affective outcomes (e.g. self-esteem) of children. Recent large-scale studies (1997–2003), such as the Baltimore Curriculum ...
Mathematical models can take many forms, including dynamical systems, statistical models, differential equations, or game theoretic models.These and other types of models can overlap, with a given model involving a variety of abstract structures.
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