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Learn how multiple representations are ways to symbolize, describe and refer to the same mathematical entity, and how they support higher-order thinking, motivation, assessment, and special education. Explore different types of representations, such as graphs, diagrams, formulas, symbols, words, gestures, software code, videos, concrete models, physical and virtual manipulatives, pictures, and ...
Learn the meanings and usage of common phrases in mathematics, such as abstract nonsense, canonical, deep, elegant, folklore, and more. This web page is a comprehensive list of terms with definitions and examples from various fields of mathematics.
Learn about manipulatives, objects that help learners perceive mathematical concepts by manipulating them. Find examples of common manipulatives, such as base ten blocks, pattern blocks, linking cubes, and tiles, and how they are used in teaching and learning.
FOIL is a mnemonic for the standard method of multiplying two binomials in an algebraic expression using distributive law. Learn the history, examples, and generalizations of the FOIL rule and its reverse, factoring by grouping.
Learn the meanings and uses of various mathematical symbols, such as + (plus sign), − (minus sign), × (multiplication sign), and more. See examples, syntax, and Unicode and LaTeX renderings of each symbol.
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.
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