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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]
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.
Questions are identified as needing repair when certain behaviors are coded frequently, such as respondents asking for clarifications. [16] [17] Expert review is conducted by an individual expert or a panel of experts in questionnaire design to identify potential problems and solutions. [18]
The Wide Range Achievement Test, currently in its fifth edition (WRAT5), is an achievement test which measures an individual's ability to read words, comprehend sentences, spell, and compute solutions to math problems. [1] The test is appropriate for individuals aged 5 years through adult.
Word problem (mathematics education), a type of textbook exercise or exam question to have students apply abstract mathematical concepts to real-world situations; 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 mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a finitely generated group is the algorithmic problem of deciding whether two words in the generators represent the same element of . The word problem is a well-known example of an undecidable problem.
Hilbert's tenth problem: the problem of deciding whether a Diophantine equation (multivariable polynomial equation) has a solution in integers. Determining whether a given initial point with rational coordinates is periodic, or whether it lies in the basin of attraction of a given open set, in a piecewise-linear iterated map in two dimensions ...
Other released questions on math and writing have had similar criticism. Math answers have penalized students who understand negative square roots, interest on loans, and errors in extrapolating a graph beyond the data. [19] [20] NAEP's claim to measure critical thinking has also been criticized.