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ERIC Number: EJ930122
Record Type: Journal
Publication Date: 2010
Pages: 20
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-1947-7503
Prospective Teachers' Understanding of Decimals with Single Repeating Digits
Burroughs, Elizabeth A.; Yopp, David
Investigations in Mathematics Learning, v3 n1 p23-42 Fall 2010
This article investigates prospective elementary teachers' conceptions of the repeating decimal 0.999... Five students from a first-semester undergraduate course "Mathematics for Elementary School Teachers" were interviewed to ascertain their conceptions about the mathematical statement 0.999... = 1. All of the students indicated they do not believe .999... and 1 are equivalent. When faced with a proof that demonstrates the equivalence, several responded by rejecting some aspect of prior-held knowledge about mathematics. This article presents evidence that these students formed their misconceptions about repeating decimals in early grades rather than in higher-level courses that cover limit notions and that higher-level courses can lead students to reason incorrectly about infinitely repeating decimals.
Research Council on Mathematics Learning. Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A