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Seymour Papert, MIT mathematician, educator, and author, explains the rationale behind the term mathetics in Chapter 5 (A Word for Learning) of his book, The Children's Machine. The origin of the word, according to Papert, is not from "mathematics," but from the Greek, mathēmatikos, which means "disposed to learn."
Discovery math: a constructivist method of teaching (discovery learning) mathematics which centres around problem-based or inquiry-based learning, with the use of open-ended questions and manipulative tools. [23] This type of mathematics education was implemented in various parts of Canada beginning in 2005. [24]
Extrinsic factors such as feedback motivation by teachers, parents, and peer groups can influence the level of interest in mathematics. [190] Some students studying math may develop an apprehension or fear about their performance in the subject.
The use of calculators became common in United States math instruction in the 1980s and 1990s. Critics have argued that calculator work, when not accompanied by a strong emphasis on the importance of showing work, allows students to get the answers to many problems without understanding the math involved.
Humans have evolved to mentally represent numbers in two major ways from observation (not formal math). [9] These representations are often thought to be innate [10] (see Numerical cognition), to be shared across human cultures, [11] to be common to multiple species, [12] and not to be the result of individual learning or cultural transmission.
Goldbach’s Conjecture. One of the greatest unsolved mysteries in math is also very easy to write. Goldbach’s Conjecture is, “Every even number (greater than two) is the sum of two primes ...
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The products of small numbers may be calculated by using the squares of integers; for example, to calculate 13 × 17, one can remark 15 is the mean of the two factors, and think of it as (15 − 2) × (15 + 2), i.e. 15 2 − 2 2. Knowing that 15 2 is 225 and 2 2 is 4, simple subtraction shows that 225 − 4 = 221, which is the desired product.
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