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2. Multiple representations (mathematics education) - Wikipedia

   en.wikipedia.org/wiki/Multiple_representations...

   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.

3. Manipulative (mathematics education) - Wikipedia

   en.wikipedia.org/wiki/Manipulative_(mathematics...

   Manipulative (mathematics education) In mathematics education, a manipulative is an object which is designed so that a learner can perceive some mathematical concept by manipulating it, hence its name. The use of manipulatives provides a way for children to learn concepts through developmentally appropriate hands-on experience.

4. Glossary of mathematical jargon - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_mathematical...

   projection. A projection is, roughly, a map from some space or object to another that omits some information on the object or space. For example, R 2 → R , ( x , y ) ↦ x {\displaystyle \mathbb {R} ^ {2}\to \mathbb {R} , (x,y)\mapsto x} is a projection and its restriction to a graph of a function, say, is also a projection.

5. Glossary of mathematical symbols - Wikipedia

   en.wikipedia.org/wiki/Glossary_of_mathematical...

   Glossary of mathematical symbols. A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation between mathematical objects, or for structuring the other symbols that occur in a formula. As formulas are entirely constituted with symbols of various ...

6. Permutation - Wikipedia

   en.wikipedia.org/wiki/Permutation

   An anagram of a word having some repeated letters is an example of a multiset permutation. [ d ] If the multiplicities of the elements of M (taken in some order) are m 1 {\displaystyle m_{1}} , m 2 {\displaystyle m_{2}} , ..., m l {\displaystyle m_{l}} and their sum (that is, the size of M ) is n , then the number of multiset permutations of M ...

7. Class (set theory) - Wikipedia

   en.wikipedia.org/wiki/Class_(set_theory)

   Class (set theory) In set theory and its applications throughout mathematics, a class is a collection of sets (or sometimes other mathematical objects) that can be unambiguously defined by a property that all its members share. Classes act as a way to have set-like collections while differing from sets so as to avoid paradoxes, especially ...