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  2. Kumon - Wikipedia

    en.wikipedia.org/wiki/Kumon

    All Kumon programs are pencil-and-worksheet-based, with a digital program that started in 2023. The worksheets increase in difficulty in small increments. [9] [10] Psychologist Kathy Hirsh-Pasek says that using such techniques for 2 to 12-year-olds "does not give your child a leg up on anything". [7] One study has observed a high percentage of ...

  3. Euler's identity - Wikipedia

    en.wikipedia.org/wiki/Euler's_identity

    The number e (e = 2.71828...), also known as Euler's number, which occurs widely in mathematical analysis The number i , the imaginary unit such that i 2 = − 1 {\displaystyle i^{2}=-1} The equation is often given in the form of an expression set equal to zero, which is common practice in several areas of mathematics.

  4. Phonics - Wikipedia

    en.wikipedia.org/wiki/Phonics

    Reading by using phonics is often referred to as decoding words, sounding-out words or using print-to-sound relationships.Since phonics focuses on the sounds and letters within words (i.e. sublexical), [13] it is often contrasted with whole language (a word-level-up philosophy for teaching reading) and a compromise approach called balanced literacy (the attempt to combine whole language and ...

  5. Elementary mathematics - Wikipedia

    en.wikipedia.org/wiki/Elementary_mathematics

    Elementary mathematics, also known as primary or secondary school mathematics, is the study of mathematics topics that are commonly taught at the primary or secondary school levels around the world. It includes a wide range of mathematical concepts and skills, including number sense , algebra , geometry , measurement , and data analysis .

  6. Proof that e is irrational - Wikipedia

    en.wikipedia.org/wiki/Proof_that_e_is_irrational

    The idea is to then analyze the scaled-up difference (here denoted x) between the series representation of e and its strictly smaller b-th partial sum, which approximates the limiting value e. By choosing the scale factor to be the factorial of b , the fraction โ  a / b โ  and the b -th partial sum are turned into integers , hence x must be a ...

  7. Indo-European ablaut - Wikipedia

    en.wikipedia.org/wiki/Indo-European_ablaut

    Ablaut is the oldest and most extensive single source of vowel gradation in the Indo-European languages and must be distinguished clearly from other forms of gradation, which developed later, such as Germanic umlaut (man / men, goose / geese, long / length) or the results of modern English word-stress patterns (man / woman, photograph ...

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