Fraction development in children: Importance of building numerical magnitude understanding

Nancy C. Jordan; Jessica Rodrigues; Nicole Hansen; Ilyse RESNICK

doi:10.1016/B978-0-12-805086-6.00006-0

Fraction development in children: Importance of building numerical magnitude understanding

Nancy C. Jordan, Jessica Rodrigues, Nicole Hansen, Ilyse RESNICK

Research output: A Conference proceeding or a Chapter in Book › Chapter › peer-review

12 Citations (Scopus)

Abstract

This chapter situates fraction learning within the integrated theory of numerical development. We argue that the understanding of numerical magnitudes for whole numbers as well as for fractions is critical to fraction learning in particular and mathematics achievement more generally. Results from the Delaware Longitudinal Study, which examined domain-general and domain-specific predictors of fraction development between third and sixth grade, are highlighted. The findings support an approach to teaching fractions that centers on a number line. Implications for helping struggling learners are discussed.

Original language	English
Title of host publication	Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts
Subtitle of host publication	Acquisition of Complex Arithmetic Skills and Higher-order Mathematics Concepts
Editors	David C. Geary, Daniel B. Berch, Robert J. Ochsendorf, Kathleen Mann Koepke
Place of Publication	London, UK
Publisher	Academic Press, Elsevier Inc.
Chapter	6
Pages	125-140
Number of pages	16
Volume	3
ISBN (Electronic)	9780128050866
ISBN (Print)	9780128133682
DOIs	https://doi.org/10.1016/B978-0-12-805086-6.00006-0
Publication status	Published - 1 Jan 2017
Externally published	Yes

Publication series

Name	Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts

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10.1016/B978-0-12-805086-6.00006-0

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Jordan, N. C., Rodrigues, J., Hansen, N., & RESNICK, I. (2017). Fraction development in children: Importance of building numerical magnitude understanding. In D. C. Geary, D. B. Berch, R. J. Ochsendorf, & K. Mann Koepke (Eds.), Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts: Acquisition of Complex Arithmetic Skills and Higher-order Mathematics Concepts (Vol. 3, pp. 125-140). (Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts). Academic Press, Elsevier Inc.. https://doi.org/10.1016/B978-0-12-805086-6.00006-0

Jordan, Nancy C. ; Rodrigues, Jessica ; Hansen, Nicole et al. / Fraction development in children: Importance of building numerical magnitude understanding. Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts: Acquisition of Complex Arithmetic Skills and Higher-order Mathematics Concepts . editor / David C. Geary ; Daniel B. Berch ; Robert J. Ochsendorf ; Kathleen Mann Koepke. Vol. 3 London, UK : Academic Press, Elsevier Inc., 2017. pp. 125-140 (Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts).

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abstract = "This chapter situates fraction learning within the integrated theory of numerical development. We argue that the understanding of numerical magnitudes for whole numbers as well as for fractions is critical to fraction learning in particular and mathematics achievement more generally. Results from the Delaware Longitudinal Study, which examined domain-general and domain-specific predictors of fraction development between third and sixth grade, are highlighted. The findings support an approach to teaching fractions that centers on a number line. Implications for helping struggling learners are discussed.",

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booktitle = "Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts",

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Jordan, NC, Rodrigues, J, Hansen, N & RESNICK, I 2017, Fraction development in children: Importance of building numerical magnitude understanding. in DC Geary, DB Berch, RJ Ochsendorf & K Mann Koepke (eds), Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts: Acquisition of Complex Arithmetic Skills and Higher-order Mathematics Concepts . vol. 3, Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts, Academic Press, Elsevier Inc., London, UK, pp. 125-140. https://doi.org/10.1016/B978-0-12-805086-6.00006-0

Fraction development in children: Importance of building numerical magnitude understanding. / Jordan, Nancy C.; Rodrigues, Jessica; Hansen, Nicole et al.
Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts: Acquisition of Complex Arithmetic Skills and Higher-order Mathematics Concepts . ed. / David C. Geary; Daniel B. Berch; Robert J. Ochsendorf; Kathleen Mann Koepke. Vol. 3 London, UK: Academic Press, Elsevier Inc., 2017. p. 125-140 (Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts).

Research output: A Conference proceeding or a Chapter in Book › Chapter › peer-review

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Jordan NC, Rodrigues J, Hansen N, RESNICK I. Fraction development in children: Importance of building numerical magnitude understanding. In Geary DC, Berch DB, Ochsendorf RJ, Mann Koepke K, editors, Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts: Acquisition of Complex Arithmetic Skills and Higher-order Mathematics Concepts . Vol. 3. London, UK: Academic Press, Elsevier Inc. 2017. p. 125-140. (Acquisition of Complex Arithmetic Skills and Higher-Order Mathematics Concepts). doi: 10.1016/B978-0-12-805086-6.00006-0

Fraction development in children: Importance of building numerical magnitude understanding

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