Differences in ability to generalize mathematical problems among sixth- and seventh-grade students /

This exploratory study examined the ability of sixth- and seventh-grade students to generalize mathematical information on three problem sets (Series V, VII, and VIII) adapted from the Krutetskii System of Problems for Investigating Mathematical Ability (KSPIMA) (Krutetskii, 1976). Twenty sixth- and...

Full description

Bibliographic Details
Main Author: Martin, Mildred Ann Theis
Other Authors: Haensly, Patricia (degree committee member.), Willson, Victor L. (degree committee member.)
Format: Thesis Book
Language:English
Published: 1992.
Subjects:
Online Access:Link to OAKTrust copy

MARC

LEADER 00000ctm a2200000Ia 4500
001 in00001203288
005 20200904152629.0
008 941108s1992 xx bm 000 0 eng d
035 |a (OCoLC)ocm31422857 
035 |9 AGP1055AM 
040 |a TXA  |b eng  |c TXA  |d OCLCQ  |d OCLCO  |d OCLCF  |d OCLCQ  |d OCLCA  |d TXA 
035 |a (OCoLC)31422857 
043 |a n-us-tx 
049 |a TXAM 
099 |a 1992  |a Dissertation  |a M382 
100 1 |a Martin, Mildred Ann Theis. 
245 1 0 |a Differences in ability to generalize mathematical problems among sixth- and seventh-grade students / 
264 1 |c 1992. 
300 |a xi, 111 leaves ;  |c 28 cm 
336 |a text  |b txt  |2 rdacontent 
337 |a unmediated  |b n  |2 rdamedia 
338 |a volume  |b nc  |2 rdacarrier 
504 |a Includes bibliographical references. 
500 |a Vita. 
502 |b Ph. D.  |c Texas A & M University  |d 1992 
500 |a "Major subject: Educational Psychology." 
520 3 |a This exploratory study examined the ability of sixth- and seventh-grade students to generalize mathematical information on three problem sets (Series V, VII, and VIII) adapted from the Krutetskii System of Problems for Investigating Mathematical Ability (KSPIMA) (Krutetskii, 1976). Twenty sixth- and seventh-grade students, ten males and ten females, were randomly selected from two private day schools in a suburban area of Texas and were individually tested. The research analyzed performance for observable differences in the following areas: (a) gender differences in performance on the tasks; (b) gender differences in the use of verbal-logical and visual-spatial strategies; and (c) use of verbal-logical and visual-spatial strategies among capable and less capable students. Patterns of performance across the three problem sets were also analyzed. The issue of gender differences in performance was addressed using a repeated measure analysis of variance (ANOVA) to estimate the effect of gender on capability and speed as measured by scores on Series V, VII, and VIII problems. A Cohen's Kappa was computed to determine the level of agreement between the raters. A general linear model (GLM) was used to determine gender effect and the effect of capability on the use of verbal-logical and visual-spatial strategies. The Pearson correlation coefficient was computed to estimate the following relationships for Series VIII problems: (a) capability and recall, (b) speed and recall, and (c) capability and speed. An ANOVA repeated measures design indicated no significant gender differences in either capability or speed for the three series. A general linear model found no constant effect for either ability or gender in the use of verbal-logical or visual-spatial strategies. The Pearson correlation coefficient indicated that approximately 71% of the variance in speed can be accounted for by capability. There was no significant relationship between either (a) capability and recall or (b) speed and recall. The qualitative data indicated significant differences in patterns of student profiles. Differences in ability to generalize material varied depending on whether the progression of generalization was from concrete to abstract or abstract to concrete. 
650 0 |a Mathematics  |x Study and teaching (Secondary)  |z Texas. 
650 0 |a Sex differences in education. 
650 0 |a Mathematics  |x Study and teaching  |x Psychological aspects. 
650 0 |a Mathematical ability. 
650 4 |a Major educational psychology. 
650 7 |a Mathematics  |x Study and teaching (Secondary)  |2 fast  |0 (OCoLC)fst01012305 
651 7 |a Texas.  |2 fast  |0 (OCoLC)fst01210336 
655 7 |a Academic theses  |2 lcgft 
700 1 |a Dockweiler, Clarence J.,  |e degree supervisor. 
700 1 |a Nash, William R.,  |e degree supervisor. 
700 1 |a Haensly, Patricia,  |e degree committee member. 
700 1 |a Willson, Victor L.,  |e degree committee member. 
710 2 |a Texas A & M University,  |e degree granting institution. 
856 4 1 |x http://hdl.handle.net/1969.1/DISSERTATIONS-1447162  |z Link to OAKTrust copy  |t 0 
856 4 1 |u http://proxy.library.tamu.edu/login?url=http://proquest.umi.com/pqdweb?did=746283091&sid=1&Fmt=2&clientId=2945&RQT=309&VName=PQD  |z Link to OAKTrust copy 
994 |a C0  |b TXA 
999 f f |s 0fd110aa-b8b7-3f75-8676-f4f04ea5065a  |i 08431524-7980-37a5-8139-2f82af5a6236  |t 0 
952 f f |p noncirc  |a Texas A&M University  |b J.J. Pickle Campus  |c High Density Repository  |d Remote Storage  |t 0  |e 1992 Dissertation M382  |h Other scheme  |i unmediated -- volume  |m A14841037348 
998 f f |a 1992 Dissertation M382  |t 0  |l Available Online 
998 f f |a 1992 Dissertation M382  |t 0  |l Remote Storage