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The Ages of Three Children puzzle (sometimes referred to as the Census-Taker Problem [1]) is a logical puzzle in number theory which on first inspection seems to have insufficient information to solve. However, with closer examination and persistence by the solver, the question reveals its hidden mathematical clues, especially when the solver ...
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.
Because Bernard (who knows the bus number) cannot determine Cheryl's age despite having been told this sum, it must be a sum that is not unique among the possible solutions. On examining all the possible ages, it turns out there are two pairs of sets of possible ages that produce the same sum as each other: 9, 4, 4 and 8, 6, 3, which sum to 17 ...
Anderson and Winthrop think the solution involves greater autonomy and real-world relevance in school—jolting young Americans out of passivity and into what they call “Explorer mode ...
More recently, a simpler version has been used to study how students react to word problems: A captain owns 26 sheep and 10 goats. How old is the captain? [4] Many children in elementary school, from different parts of the world, attempt to "solve" this nonsensical problem by giving the answer 36, obtained by adding the numbers 26 and 10.
An artificially produced word problem is a genre of exercise intended to keep mathematics relevant. Stephen Leacock described this type: [1] The student of arithmetic who has mastered the first four rules of his art and successfully striven with sums and fractions finds himself confronted by an unbroken expanse of questions known as problems ...
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The findings showed that at age 4, children would choose the photograph that best reflected with their own view. [3] At age 6, an awareness of perspective different from their own could be seen. Then, by ages 7–8, children can clearly acknowledge more than one point of view and consistently select the correct photograph.