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The WordMasters Challenge is a vocabulary competition for students in grades 3 - 8. The assigned words increase in difficulty at each grade level. The "Challenge" tests take place three times a year in the students' classrooms and are scored on how well the kids are able to use their knowledge of the words to complete twenty analogies.
Analogy is a comparison or correspondence between two things (or two groups of things) because of a third element that they are considered to share. [1]In logic, it is an inference or an argument from one particular to another particular, as opposed to deduction, induction, and abduction.
The following are some of the analogies used by mathematicians between number fields and 3-manifolds: [1] A number field corresponds to a closed, orientable 3-manifold; Ideals in the ring of integers correspond to links, and prime ideals correspond to knots. The field Q of rational numbers corresponds to the 3-sphere.
Word problem from the Līlāvatī (12th century), with its English translation and solution. In science education, a word problem is a mathematical exercise (such as in a textbook, worksheet, or exam) where significant background information on the problem is presented in ordinary language rather than in mathematical notation.
Argument from analogy is a special type of inductive argument, where perceived similarities are used as a basis to infer some further similarity that has not been observed yet. Analogical reasoning is one of the most common methods by which human beings try to understand the world and make decisions. [ 1 ]
"You have two cows" is a political analogy and form of early 20th century American political satire to describe various economic systems of government. The setup of a typical joke of this kind is the assumption that the listener lives within a given system and has two cows , a very relatable occupation across countries and national boundaries.