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Number Lines in Mathematics Education

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Characteristics

Number lines figure prominently in mathematics education. They may take various shapes and forms, from a clothesline with number cards in the early grades, to straight lines on paper representing rational numbers or integers. Number lines may feature all numbers under consideration or just a selection, depending on the function the number line has to fulfill. The 1st-grade number cards, for instance, are to support the learning of the number sequence. Whereas a more schematized number line may be used to illuminate the structure and magnitude of rational numbers and decimals. In this contribution we will focus on the empty number line, which is kept even more sparse than the latter in order to fulfill its role as a specifically designed instructional tool.

The Empty Number Line

The idea of using the empty number line as a means of support for adding and subtracting numbers up to 100 was introduced by Whitney (1985) and elaborated and publicized by Treffers (1991), who...

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Correspondence to Koeno Gravemeijer .

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Gravemeijer, K. (2020). Number Lines in Mathematics Education. In: Lerman, S. (eds) Encyclopedia of Mathematics Education. Springer, Cham. https://doi.org/10.1007/978-3-030-15789-0_121

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