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It is critical that students learn math concepts using a variety of tools. For example, as students learn to make patterns, they should be able to create patterns using all three of these tools. Seeing the same concept represented in multiple ways as well as using a variety of concrete models will expand students’ understandings.
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.
Countable additivity of a measure : The measure of a countable disjoint union is the same as the sum of all measures of each subset.. Let be a set and a σ-algebra over . A set function from to the extended real number line is called a measure if the following conditions hold:
The Math Images Project is a wiki collaboration between Swarthmore College, the Math Forum at Drexel University, and the National Science Digital Library. The project aims to introduce the public to mathematics through beautiful and intriguing images found throughout the fields of math. The Math Images Project runs on MediaWiki software, as ...
Some students studying math may develop an apprehension or fear about their performance in the subject. This is known as math anxiety or math phobia, and is considered the most prominent of the disorders impacting academic performance. Math anxiety can develop due to various factors such as parental and teacher attitudes, social stereotypes ...
The use of the word measure, in the sense of a measuring instrument, only survives in the phrase tape measure, an instrument that can be used to measure but cannot be used to draw straight lines. As can be seen in the photographs on this page, a two-metre carpenter's rule can be folded down to a length of only 20 centimetres, to easily fit in a ...
Geometry (from Ancient Greek γεωμετρία (geōmetría) ' land measurement '; from γῆ (gê) ' earth, land ' and μέτρον (métron) ' a measure ') [1] is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. [2]
The teaching and learning of basic numeracy skills to all students [13] The teaching of practical mathematics (arithmetic, elementary algebra, plane and solid geometry, trigonometry, probability, statistics) to most students, to equip them to follow a trade or craft and to understand mathematics commonly used in news and Internet (such as ...
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