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The use of multiple representations supports and requires tasks that involve decision-making and other problem-solving skills. [2] [3] [4] The choice of which representation to use, the task of making representations given other representations, and the understanding of how changes in one representation affect others are examples of such mathematically sophisticated activities.
The teaching of advanced mathematics to those students who wish to follow a career in science, technology, engineering, and mathematics (STEM) fields; The teaching of heuristics [16] and other problem-solving strategies to solve non-routine problems; The teaching of mathematics in social sciences and actuarial sciences, as well as in some ...
Traditional mathematics education has been challenged by several reform movements over the last several decades, notably new math, a now largely abandoned and discredited set of alternative methods, and most recently reform or standards-based mathematics based on NCTM standards, which is federally supported and has been widely adopted, but ...
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]
Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
For example, students who memorize vocabulary for a reading test may perform well on that specific assessment but struggle to apply the vocabulary in broader contexts. In mathematics, students familiar with test-like questions might fail to apply the same concepts to differently phrased problems.
One of principles of reform mathematics is social equity. [5] In contrast, "traditional" textbooks emphasize procedural mathematics and provide step-by-step examples with skill-building exercises. Traditional mathematics focuses on teaching algorithms that will lead to the correct answer of a particular problem. Because of this focus on ...
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]
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