NotesFAQContact Us
Search Tips
ERIC Number: ED501053
Record Type: Non-Journal
Publication Date: 2003-Jul
Pages: 8
Abstractor: Author
Nathan's Strategies for Simplifying and Adding Fractions in Third Grade
Olive, John
International Group for the Psychology of Mathematics Education, Paper presented at the 27th International Group for the Psychology of Mathematics Education Conference Held Jointly with the 25th PME-NA Conference (Honolulu, HI, Jul 13-18, 2003), v3 p421-428
Nathan entered third grade having already constructed a Generalized Number Sequence (GNS) for whole numbers that enabled him to coordinate sequences of multiples to find a common multiple of two whole numbers. Nathan was able to apply the operations of his GNS to his understanding of part-whole relations and his emerging use of fractional language, in order to rename fractions generated through iterations of unit fractions (e.g. 3/8 as another name for six iterations of 1/16). Through structured teaching episodes, Nathan was eventually able to find common partitions for different unit fractions and use the common partition to produce (and name) the sum of the two fractions. The on-screen actions with the computer manipulatives, used in this teaching experiment, were both engendering and constraining for Nathan's construction of these mental strategies. (Contains 1 footnote.) [For complete proceedings, see ED500858.]
International Group for the Psychology of Mathematics Education. 35 Aandwind Street, Kirstenhof, Cape Town, 7945, South Africa. Tel: +27-21-715-3559; Fax: +27-88-021-715-3559; e-mail:; Web site:
Publication Type: Reports - Descriptive; Speeches/Meeting Papers
Education Level: Elementary Education; Grade 3
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A