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  2. Proportionality (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Proportionality_(mathematics)

    With inverse proportion, an increase in one variable is associated with a decrease in the other. For instance, in travel, a constant speed dictates a direct proportion between distance and time travelled; in contrast, for a given distance (the constant), the time of travel is inversely proportional to speed: s × t = d.

  3. Proportion (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Proportion_(mathematics)

    A proportion is a mathematical statement expressing equality of two ratios. [1] [2]: =: a and d are called extremes, b and c are called means. Proportion can be written as =, where ratios are expressed as fractions.

  4. Proportional reasoning - Wikipedia

    en.wikipedia.org/wiki/Proportional_reasoning

    Students will abandon the additive strategy at this point realizing that 0 cannot be the correct answer. A thought experiment can be performed for inverse relations. If one variable doubles in value, what happens to the other variable? If the answer is ⁠ 1 / 2 ⁠ then this might be a constant product relation (that is, an inverse proportion).

  5. Monty Hall problem - Wikipedia

    en.wikipedia.org/wiki/Monty_Hall_problem

    The answer to the first question is ⁠ 2 / 3 ⁠, as is shown correctly by the "simple" solutions. But the answer to the second question is now different: the conditional probability the car is behind door 1 or door 2 given the host has opened door 3 (the door on the right) is ⁠ 1 / 2 ⁠.

  6. Direct product of groups - Wikipedia

    en.wikipedia.org/wiki/Direct_product_of_groups

    In mathematics, specifically in group theory, the direct product is an operation that takes two groups G and H and constructs a new group, usually denoted G × H.This operation is the group-theoretic analogue of the Cartesian product of sets and is one of several important notions of direct product in mathematics.

  7. Direct sum - Wikipedia

    en.wikipedia.org/wiki/Direct_sum

    The direct sum is an operation between structures in abstract algebra, a branch of mathematics.It is defined differently but analogously for different kinds of structures. As an example, the direct sum of two abelian groups and is another abelian group consisting of the ordered pairs (,) where and

  8. Flipped classroom - Wikipedia

    en.wikipedia.org/wiki/Flipped_classroom

    Flipped classroom teaching at Clintondale High School in Michigan, United States. A flipped classroom is an instructional strategy and a type of blended learning.It aims to increase student engagement and learning by having pupils complete readings at home, and work on live problem-solving during class time. [1]

  9. Direct comparison test - Wikipedia

    en.wikipedia.org/wiki/Direct_comparison_test

    In mathematics, the comparison test, sometimes called the direct comparison test to distinguish it from similar related tests (especially the limit comparison test), provides a way of deducing whether an infinite series or an improper integral converges or diverges by comparing the series or integral to one whose convergence properties are known.