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ERIC Number: EJ1061494
Record Type: Journal
Publication Date: 2015-Mar
Pages: 48
Abstractor: As Provided
Reference Count: 92
ISSN: ISSN-0021-8251
Relationships between Students' Fractional Knowledge and Equation Writing
Hackenberg, Amy J.; Lee, Mi Yeon
Journal for Research in Mathematics Education, v46 n2 p196-243 Mar 2015
To understand relationships between students' fractional knowledge and algebraic reasoning in the domain of equation writing, an interview study was conducted with 12 secondary school students, 6 students operating with each of 2 different multiplicative concepts. These concepts are based on how students coordinate composite units. Students participated in two 45-minute interviews and completed a written fractions assessment. Students operating with the second multiplicative concept had not constructed fractional numbers, but students operating with the third multiplicative concept had; students operating with the second multiplicative concept represented multiplicatively related unknowns in qualitatively different ways than students operating with the third multiplicative concept. A facilitative link is proposed between the construction of fractional numbers and how students represent multiplicatively related unknowns.
National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail:; Web site:
Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education; Middle Schools; Junior High Schools; High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A