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Graphs such as these are among the objects studied by discrete mathematics, for their interesting mathematical properties, their usefulness as models of real-world problems, and their importance in developing computer algorithms.
Protractors were banned relatively recently. [10] Unlike other science olympiads, the IMO has no official syllabus and does not cover any university-level topics. The problems chosen are from various areas of secondary school mathematics, broadly classifiable as geometry , number theory , algebra , and combinatorics .
Criticism of traditional mathematics instruction originates with advocates of alternative methods of instruction, such as Reform mathematics.These critics cite studies, such as The Harmful Effects of Algorithms in Grades 1–4, which found specific instances where traditional math instruction was less effective than alternative methods.