Pythagorean Method of Memorization (PYMOM), also known as Triangular Movement Cycle (TMC), is a game-based, educational methodology or associative-learning...

of memorization include having to use verbal response and confirmation. Some principles and techniques that have been used to assist in memorization include:...

statements of the Pythagorean theorem, both in the case of an isosceles right triangle and in the general case, as well as lists of Pythagorean triples....

The Socratic method (also known as the method of Elenchus or Socratic debate) is a form of argumentative dialogue between individuals based on asking...

mathematical results, including an approximation of the square root of 2 and the statement of the Pythagorean theorem. Baudhayana's Śrauta sūtras related to...

within a circle and doubling the number of sides would eventually fill up the area of the circle (this is the method of exhaustion). Since any polygon can...

empirical methods and discoveries, whereas formal epistemology uses formal tools from logic. Social epistemology investigates the communal aspect of knowledge...

as Pythagoreans. Pythagoreans followed a very specific way of life. They were famous for friendship, unselfishness, and honesty. The Pythagoreans also...

has one, the fifth has five, and so on. Such memorization aids are called mnemonics. An early example of a mnemonic for pi, originally devised by English...

technique of memorization called Method of Loci, by which memories are referenced directly onto spatial maps" originated with the story of Simonides....

section of sutras in which a set of rules or problems were stated with great economy in verse in order to aid memorization by a student. This was followed...

be m. Let the length of PC be j and the length of OP be G. APO, APC are two right angle triangles. Liu Hui used the Pythagorean theorem repetitively:...

3.14159. One method of deriving this formula, which originated with Archimedes, involves viewing the circle as the limit of a sequence of regular polygons...

Mathematics is a field of study that discovers and organizes methods, theories and theorems that are developed and proved for the needs of empirical sciences...

meaning of a sentence is its method of verification or falsification. In this form, the thesis was abandoned after the acceptance by most philosophers of the...

coefficients. By using the Pythagorean theorem, they reduced geometric problems to algebra systematically. The number of unknowns in an equation was...

idiophone family of instruments, and so is not a drum (which is a membranophone). Some steelpans are made to play in the Pythagorean musical cycle of fourths and...

distance from the origin is less than r will fall inside the circle. The Pythagorean theorem gives the distance from any point (x, y) to the center: d = x...

{\displaystyle QP} is the height of the right triangle Q P 1 P 2 {\displaystyle QP_{1}P_{2}} , hence for the Inverse Pythagorean Theorem: 1 Q P ¯ 2 = 1 Q P...

value of a sum of reciprocal values Prefix sum, computational problem of finding running totals Pythagorean addition, combining two side lengths of a right...

geometry (quadrilaterals, polygons, areas of plane figures, the Pythagorean theorem, distance formula, equations of a line, simple solids, their surface areas...

natural senses. Proponents of Progressive Education and the Project Method reject traditional schooling that focuses on memorization, rote learning, strictly...

specifically to the Pythagorean Hippasus, who produced a (most likely geometrical) proof of the irrationality of the square root of 2. The story goes that...

and called their doctrine of the immortality of the soul and metempsychosis (reincarnation), "Pythagorean": The Pythagorean doctrine prevails among the...

he was 12. He also independently discovered his own original proof of the Pythagorean theorem, and he had worked through a geometry textbook he was given...

Philosophy and Rhetoric. 30 (1): 45–49. JSTOR 40237935. Striker, Gisela. "Methods of sophistry." Essays on Hellenistic Epistemology and Ethics (1996): p. 13...

is important", the NCTM does not consider the most simplistic forms of memorization by repetition to be sufficient achievement in mathematics. A good student...

the natural [just] scale, but tends on the whole to conform with the Pythagorean scale." When violinists are playing in a string quartet or a string orchestra...

in the form of drill, practice and rote memorization. An 'instructionist', then, focuses on the preparation, organization and management of the lesson...

phonetically (i.e. /ˌsoʊkəˈtoʊə/ SOH-kə-TOH-ə, similar to Krakatoa). Another method is to expand the letters into a sentence, such as "Some Old Horses Chew...