Puzzles and Recreational Mathematics Sample Clauses

Puzzles and Recreational Mathematics. ‌ It is useful to distinguish another subclass of problems called puzzles. A puzzle is a particular type of problem that usually requires little prior mathematical knowledge. There have been attempts to define puzzles, for instance as tasks requiring ‘lateral thinking’ (Xx Xxxx, 1971). Xxxxxxxxxxx and Xxxxxxxxxxx (2008) suggest that the nature of an (educational) puzzle is encapsulated by four criteria: generality (explaining some universal mathematical problem- solving principle), simplicity, a ‘Eureka’ factor and an entertainment factor. To us, a puzzle is a question that is free-standing (requiring little or no prior knowledge), lightweight (lacking gravitas and without ramifications), and needing ingenuity to solve it. Frequently, such ingenuity will be in the form of a trick or sudden insight, providing the Eureka factor mentioned by Xxxxxxxxxxx and Xxxxxxxxxxx (2008). A few examples will show what we mean by a puzzle – the first has a laborious solution involving an infinite series, and an instant solution when ‘the xxxxx drops’ (the ‘Eureka!’ moment).
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Puzzles and Recreational Mathematics. ‌ In addition to these books, the British Mathematical Olympiad website (xxx.xxxx.xxxxx.xxx) contains a number of links to problems used in past instances of the Olympiad, and in some cases solutions are included. Notably the complete problems (PDF link) from 1993-2011 are available for download. Books Xxxxxx Xxxxxxx It is difficult to overstate the contribution that Xxxxxxx made to the practical job of collating interesting problems and puzzles. My Best Mathematical and Logic Puzzles and Entertaining Mathematical Puzzles are just two examples of his work. The Moscow Puzzles Written by Xxxxx Xxxxxxxxx and edited by Xxxxxxx, the Moscow Puzzles are a highly regarded set of puzzles from a range of mathematical disciplines. Puzzle-based learning Xxxxxxxxxxx and Xxxxxxxxxxx (2008) Xxxxxxxxxxx’x book expands a great deal on the ideas outlined in Section 2.1.3, and contains a large number of puzzles. The Red book of Mathematical Problems Xxxxxxxx and Xxxxx (1988) The problems are especially chosen for students preparing for undergraduate math competitions, but these challenging brain- teasers will be of interest to anyone interested in math problems dealing with real numbers, differential equations, integrals, poly- nomials, sets, and other mathematical topics.
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