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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.
On the other hand, the fact that a particular algorithm does not solve the word problem for a particular group does not show that the group has an unsolvable word problem. For instance Dehn's algorithm does not solve the word problem for the fundamental group of the torus. However this group is the direct product of two infinite cyclic groups ...
Given a presentation for a group G, the word problem is the algorithmic problem of deciding, given as input two words in S, whether they represent the same element of G. The word problem is one of three algorithmic problems for groups proposed by Max Dehn in 1911.
The small group learning is also used for adult learning because it is associated with active involvement, collaboration, and problem-solving. [ 11 ] [ 12 ] Although this practice is not the best way for students to develop and improve on these skills there are some ways to make this effective for both the student and the instructor.
This instruction is designed by or with an appropriately credentialed special education teacher or related service provider. Students may have better success with small-group instruction as presented in a resource room (mandated by program and placement outlined in the IEP) particularly with language-based instruction. [9]
Bloom thus challenged researchers and teachers to "find methods of group instruction as effective as one-to-one tutoring". [ 1 ] : 15 Bloom's graduate students Joanne Anania and Arthur J. Burke conducted studies of the effect at different grade levels and in different schools, observing students with "great differences in cognitive achievement ...
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