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Critics of traditional methods note that only a small percentage of students achieve the highest levels of mathematics achievement such as calculus. Some argue that too few students master even algebra. The use of calculators became common in United States math instruction in the 1980s and 1990s. Critics have argued that calculator work, when ...
A function (which in mathematics is generally defined as mapping the elements of one set A to elements of another B) is called "A onto B" (instead of "A to B" or "A into B") only if it is surjective; it may even be said that "f is onto" (i. e. surjective). Not translatable (without circumlocutions) to some languages other than English. proper
Some of the more well-known topics in recreational mathematics are Rubik's Cubes, magic squares, fractals, logic puzzles and mathematical chess problems, but this area of mathematics includes the aesthetics and culture of mathematics, peculiar or amusing stories and coincidences about mathematics, and the personal lives of mathematicians.
In this section, the symbols that are listed are used as some sorts of punctuation marks in mathematical reasoning, or as abbreviations of natural language phrases. They are generally not used inside a formula. Some were used in classical logic for indicating the logical dependence between sentences written in plain language. Except for the ...
Mathematical puzzles require mathematics to solve them. Logic puzzles are a common type of mathematical puzzle. Conway's Game of Life and fractals , as two examples, may also be considered mathematical puzzles even though the solver interacts with them only at the beginning by providing a set of initial conditions.
With few students able to pursue higher education, and with many children and teenagers needing to dedicate significant amounts of time to chores and farm work, homework was disliked not only by parents, but also by some schools. The students' inability to keep up with the homework, which was largely memorizing an assigned text at home ...
Student activities (also known as campus activities) are student-focused extracurricular clubs and programs offered at a college or university. Student activities are generally designed to allow students to become more involved on campus. Often, such activities provide the students with opportunities to develop leadership, social responsibility ...
The consequence of these features is that a mathematical text is generally not understandable without some prerequisite knowledge. For example, the sentence "a free module is a module that has a basis" is perfectly correct, although it appears only as a grammatically correct nonsense, when one does not know the definitions of basis, module, and free module.