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Words with the middle part of the word left out are few. They may be further subdivided into two groups: (a) words with a final-clipped stem retaining the functional morpheme: maths (mathematics), specs (spectacles); (b) contractions due to a gradual process of elision under the influence of rhythm and context.
Some of the more well-known topics in recreational mathematics are Rubik's Cubes, magic squares, fractals, logic puzzles and mathematical chess problems, but this area of mathematics includes the aesthetics and culture of mathematics, peculiar or amusing stories and coincidences about mathematics, and the personal lives of mathematicians.
Conway's Game of Life and fractals, as two examples, may also be considered mathematical puzzles even though the solver interacts with them only at the beginning by providing a set of initial conditions. After these conditions are set, the rules of the puzzle determine all subsequent changes and moves.
In computer science and mathematics, the Josephus problem (or Josephus permutation) is a theoretical problem related to a certain counting-out game. Such games are used to pick out a person from a group, e.g. eeny, meeny, miny, moe. A drawing for the Josephus problem sequence for 500 people and skipping value of 6.
A theorem, result, or condition is further called stronger than another one if a proof of the second can be easily obtained from the first but not conversely. An example is the sequence of theorems: Fermat's little theorem , Euler's theorem , Lagrange's theorem , each of which is stronger than the last; another is that a sharp upper bound (see ...
Noclip mode, or "Noclipping", when the player or another object in a video game unrealistically passes through another object; Clipping (gardening), pruning, removing unwanted portions from a plant Clippings, the portions that are removed in this process; Clipping (medicine), surgical treatment used to treat an aneurysm
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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.