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  2. Word problem (mathematics education) - Wikipedia

    en.wikipedia.org/wiki/Word_problem_(mathematics...

    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.

  3. Proportional reasoning - Wikipedia

    en.wikipedia.org/wiki/Proportional_reasoning

    In Piaget's model of intellectual development, the fourth and final stage is the formal operational stage.In the classic book "The Growth of Logical Thinking from Childhood to Adolescence" by Jean Piaget and Bärbel Inhelder formal operational reasoning takes many forms, including propositional reasoning, deductive logic, separation and control of variables, combinatorial reasoning, and ...

  4. 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.

  5. Word problem (mathematics) - Wikipedia

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

    The proof is difficult to follow but marks a turning point in the word problem for groups. [3]: 342 1955 (): Pyotr Novikov gives the first published proof that the word problem for groups is unsolvable, using Turing's cancellation semigroup result. [17] [3]: 354 The proof contains a "Principal Lemma" equivalent to Britton's Lemma.

  6. Third grade - Wikipedia

    en.wikipedia.org/wiki/Third_grade

    In Brazil, third grade is the terceiro ano do Ensino Fundamental I, in this case, children begin their first year of elementary school at age 6 or 7 depending on their birthdate. Therefore, the 3rd year of elementary school is typically for students of 8 (96 months)–9 years (108 months) of age.

  7. Cross-multiplication - Wikipedia

    en.wikipedia.org/wiki/Cross-multiplication

    In mathematics, specifically in elementary arithmetic and elementary algebra, given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

  8. Aspect ratio - Wikipedia

    en.wikipedia.org/wiki/Aspect_ratio

    The aspect ratio of a geometric shape is the ratio of its sizes in different dimensions. For example, the aspect ratio of a rectangle is the ratio of its longer side to its shorter side—the ratio of width to height, [1] [2] when the rectangle is oriented as a "landscape".

  9. Rule of thirds - Wikipedia

    en.wikipedia.org/wiki/Rule_of_thirds

    The horizon in the photograph is on the horizontal line dividing the lower third of the photo from the upper two-thirds. The tree is at the intersection of two lines, sometimes called a power point [1] or a crash point. [2] The rule of thirds is a rule of thumb for composing visual art such as designs, films, paintings, and photographs. [3]

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