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This equation can be viewed as a Diophantine equation, that is, an equation for which only integer solutions are sought. In this case, the solution set is the empty set, since 2 is not the square of an integer. However, if one searches for real solutions, there are two solutions, √ 2 and – √ 2; in other words, the solution set is {√ 2 ...
Many students work in groups to solve them and help get a better understanding of the material, [6] [7] but most professors require each student to hand in their own individual problem set. Some professors explicitly encourage collaboration, [ 5 ] [ 6 ] some allow it, and some explicitly disallow it [ 3 ] or consider it cheating.
The teacher says using class time for following up on homework gives that connection to what is learned in the class, noting, "In the initial step students complete and submit (traditional) homework assignments electronically, and then later they revisit their work through presentations of selected problems during class.
A mathematical problem is a problem that can be represented, analyzed, and possibly solved, with the methods of mathematics.This can be a real-world problem, such as computing the orbits of the planets in the solar system, or a problem of a more abstract nature, such as Hilbert's problems.
There is an emphasis on asking students to work together in collaborative groups. It is hoped that communication skills will be developed; exercises aimed at this goal are embedded throughout the curriculum, through the use of group and whole class discussions, the use of writing to present and clarify mathematical solutions; in some IEP ...
When we recently wrote about the toughest math problems that have been solved, we mentioned one of the greatest achievements in 20th-century math: the solution to Fermat’s Last Theorem. Sir ...
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