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Investigations was developed between 1990 and 1998. It was just one of a number of reform mathematics curricula initially funded by a National Science Foundation grant. The goals of the project raised opposition to the curriculum from critics (both parents and mathematics teachers) who objected to the emphasis on conceptual learning instead of instruction in more recognized specific methods ...
Its topics include squared triangular numbers and other sums of powers, [5] Russian peasant multiplication, [2] binary numbers, [2] [6] repeating decimals, [2] magic squares, [4] the irrationality of π, [2] [5] mechanical linkages, linear Diophantine equations, the 15 puzzle, [6] perfect numbers, [7] and some unsolved problems in number theory.
Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense , algebra , geometry , measurement , and data analysis .
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers.
There are two divisions, Elementary and Middle School. Elementary level problems are for grades 4-6 and Middle School level problems are for grades 7-8, though 4-6 graders may participate in Middle School problems. Hundreds of thousands of students participate annually in MOEMS events. MOEMS plans soon to develop an online teacher training program.
Topics introduced in the New Math include set theory, modular arithmetic, algebraic inequalities, bases other than 10, matrices, symbolic logic, Boolean algebra, and abstract algebra. [2] All of the New Math projects emphasized some form of discovery learning. [3] Students worked in groups to invent theories about problems posed in the textbooks.
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