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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.
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 method was started in the early 20th century by Italian physician Maria Montessori, who developed her theories through scientific experimentation with her students. [5] The method has since been used in many parts of the world, in public and private schools. [6] A range of practices exists under the name "Montessori", which is not trademarked.
A teaching method is a set of principles and methods used by teachers to enable student learning. These strategies are determined partly by the subject matter to be taught, partly by the relative expertise of the learners, and partly by constraints caused by the learning environment. [ 1 ]
Critics of traditional methods note that only a small percentage of students achieve the highest levels of mathematics achievement such as calculus. Some argue that too few students master even algebra. The use of calculators became common in United States math instruction in the 1980s and 1990s. Critics have argued that calculator work, when ...
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.
Instructional scaffolding is the support given to a student by an instructor throughout the learning process. This support is specifically tailored to each student; this instructional approach allows students to experience student-centered learning, which tends to facilitate more efficient learning than teacher-centered learning.
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 ...
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