Middle school rational number knowledge

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dc.contributor.author Martinie, Sherri L.
dc.date.accessioned 2007-04-27T19:27:38Z
dc.date.available 2007-04-27T19:27:38Z
dc.date.issued 2007-04-27T19:27:38Z
dc.identifier.uri http://hdl.handle.net/2097/281
dc.description.abstract This study examined end-of-the-year seventh grade students’ rational number knowledge using comparison tasks and rational number subconstruct tasks. Comparison tasks included: comparing two decimals, comparing two fractions and comparing a fraction and a decimal. The subconstructs of rational number addressed in this research include: part-whole, measure, quotient, operator, and ratio. Between eighty-six and one-hundred-one students were assessed using a written instrument divided into three sections. Nine students were interviewed following the written instrument to probe for further understanding. Students were classified by error patterns using decimal comparison tasks. Students were initially to be classified into four groups according to the error pattern: whole number rule (WNR), zero rule (ZR), fraction rule (FR) or apparent expert (AE). However, two new patterns emerged: ignore zero rule (IZR) and money rule (MR). Students’ knowledge of the subconstructs of rational numbers was analyzed for the students as a whole, but also analyzed by classification to look for patterns within small groups of students and by individual students to create a thick, rich description of what students know about rational numbers. Students classified as WNR struggled across almost all of the tasks. ZR students performed in many ways similar to WNR but in other ways performed better. FR and MR students had more success across all tasks compared to WNR and ZR. On average apparent experts performed significantly better than those students classified by errors. However, further analysis revealed hidden misconceptions and deficiencies for a number of apparent experts. Results point to the need to make teachers more aware of the misconceptions and deficiencies because in many ways errors reflect the school experiences of students. en
dc.language.iso en_US en
dc.publisher Kansas State University en
dc.subject Rational number en
dc.subject Fractions en
dc.subject Decimals en
dc.subject Middle school en
dc.subject Order and comparison en
dc.subject Subconstructs en
dc.title Middle school rational number knowledge en
dc.type Dissertation en
dc.description.degree Doctor of Philosophy en
dc.description.level Doctoral en
dc.description.department Curriculum and Instruction Programs en
dc.description.advisor Jennifer M. Bay-Williams en
dc.subject.umi Education, Curriculum and Instruction (0727) en
dc.subject.umi Education, General (0515) en
dc.subject.umi Education, Mathematics (0280) en
dc.date.published 2007 en
dc.date.graduationmonth May en


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