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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.
The word problem for an algebra is then to determine, given two expressions (words) involving the generators and operations, whether they represent the same element of the algebra modulo the identities. The word problems for groups and semigroups can be phrased as word problems for algebras. [1]
a student looking at #3 may think "It's not a question; it's just a number" and answer "3×5×11 2". When I was at the receiving end, word problems were always identified by a heading "Word Problem". The main task was to turn the following piece of prose into a system of equations, and the main difficulty was to make sense of the given word salad.
Many, if not most, undecidable problems in mathematics can be posed as word problems: determining when two distinct strings of symbols (encoding some mathematical concept or object) represent the same object or not. For undecidability in axiomatic mathematics, see List of statements undecidable in ZFC.
Word problem (mathematics), a decision problem for algebraic identities in mathematics and computer science; Word problem for groups, the problem of recognizing the identity element in a finitely presented group; Word problem (computability), a decision problem concerning formal languages "Word Problems", an instrumental by Deadmau5 from the ...
Pólya mentions that much can be gained by taking the time to reflect and look back at what you have done, what worked and what did not, and with thinking about other problems where this could be useful. [24] [25] Doing this will enable you to predict what strategy to use to solve future problems, if these relate to the original problem.
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