ERIC Number: EJ1061494
Record Type: Journal
Publication Date: 2015-Mar
Pages: 48
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0021-8251
EISSN: N/A
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.
Descriptors: Secondary School Mathematics, Equations (Mathematics), Mathematics Skills, Multiplication, Mathematical Concepts, Algebra, Mathematical Logic, Interviews, Qualitative Research, Problem Solving, Middle School Students, High School Students, Video Technology
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: orders@nctm.org; Web site: http://www.nctm.org/publications/
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
Grant or Contract Numbers: N/A