miscon:math.fractions.fraction-decimal-digit-copy · draft · trust low · v0.1.1 · kind notation-confusion

Writing a fraction as a decimal by copying its digits

A fraction is written as a decimal by putting its numerator, or its denominator, after the decimal point.

Stable URI: https://open-misconceptions.github.io/miscon-data/m/math.fractions.fraction-decimal-digit-copy
UUID: fb3c3db0-26d5-4aba-a7ea-c9ce84089d88
Domain: math.fractions
Level band: primary, middle
Locale: en
About: CCSS 4.NF.C.6 http://corestandards.org/Math/Content/4/NF/C/6/

Evidence patterns

Pattern 0: convert a unit fraction to a decimal

writes 0.<denominator>

ItemWrite 1/4 as a decimal

Expected0.25

Response0.4

Pattern 1: convert a decimal to a fraction

writes the digits after the point as the numerator over the denominator that matches their count in the 'other direction', or over 1

ItemWrite 0.2 as a fraction

Expected2/10 (= 1/5)

Response1/2

Discriminators

vs a slip. Consistent across fractions, and the learner cannot say whether 0.4 and 1/4 are the same size. A slip is one wrong conversion with correct ones nearby.

Relations

conflicts_with: CCSS 4.NF.C.6: use decimal notation for fractions with denominators 10 or 100 http://corestandards.org/Math/Content/4/NF/C/6/
resolved_by: CCSS 4.NF.C.6: use decimal notation for fractions with denominators 10 or 100 http://corestandards.org/Math/Content/4/NF/C/6/

Alignments

CCSS 4.NF.C.6 http://corestandards.org/Math/Content/4/NF/C/6/ (about)

Provenance

Origin: llm-drafted

Kerslake, D. (1986). Fractions: Children's Strategies and Errors. NFER-Nelson.
Markovits, Z., & Sowder, J. T. (1991). Students' understanding of the relationship between fractions and decimals. Focus on Learning Problems in Mathematics, 13(1), 3-11.
Hart, K. M. (Ed.). (1981). Children's Understanding of Mathematics: 11-16. John Murray. (Concepts in Secondary Mathematics and Science project.)

Drafted from the cited literature for the Open Misconceptions seed pack; statement, examples and discriminators are original text. Awaiting maintainer review.

Review status

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Formats

Raw JSON
CASE 1.1 package (CFItem fb3c3db0-26d5-4aba-a7ea-c9ce84089d88)
Source on GitHub

Cite

miscon:math.fractions.fraction-decimal-digit-copy
https://open-misconceptions.github.io/miscon-data/m/math.fractions.fraction-decimal-digit-copy