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[5] The uses of experimental mathematics have been defined as follows: [6] Gaining insight and intuition. Discovering new patterns and relationships. Using graphical displays to suggest underlying mathematical principles. Testing and especially falsifying conjectures. Exploring a possible result to see if it is worth formal proof.
the development of Mathematics provides a tightly connected network of formal rules, concepts, and systems. Nodes of this network are closely bound to procedures useful in human activities and to questions arising in science. The transition from activities to the formal Mathematical systems is guided by a variety of general insights and ideas.
From Kindergarten to 12th grade, most American students participate in annual standardized tests. The average student takes about 10 of these tests per year (e.g., one or two reading comprehension tests, one or two math tests, a writing test, a science test, etc.). [59]
An experiment is a procedure carried out to support or refute a hypothesis, or determine the efficacy or likelihood of something previously untried. Experiments provide insight into cause-and-effect by demonstrating what outcome occurs when a particular factor is manipulated.
Scientists also use thought experiments when particular physical experiments are impossible to conduct (Carl Gustav Hempel labeled these sorts of experiment "theoretical experiments-in-imagination"), such as Einstein's thought experiment of chasing a light beam, leading to special relativity. This is a unique use of a scientific thought ...
A proper noun (sometimes called a proper name, though the two terms normally have different meanings) is a noun that represents a unique entity (India, Pegasus, Jupiter, Confucius, Pequod) – as distinguished from common nouns (or appellative nouns), which describe a class of entities (country, animal, planet, person, ship). [11]
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