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ERIC Number: ED098054
Record Type: RIE
Publication Date: 1974
Pages: 25
Abstractor: N/A
Reference Count: 0
ISBN: N/A
ISSN: N/A
An Investigation of Nine-, Eleven-, and Thirteen-Year-Old Children's Comprehension of Euclidean Transformations.
Kidder, F. Richard
This study investigated middle school children's ability to form a mental image of a planar figure and to: (1) mentally flip, turn, or slide this representation and then construct the resultant image in correct position ("performing individual motions"), (2) perform two such motions in succession ("composition of motions"), (3) perform the process in reverse ("inverse motions"), and (4) hold length invariant while attempting the above three operations. The sample consisted of 30 students at the upper three-fourths ability level in each of grades 4, 6, and 8. Five tests were given to each student: (1) a 20-item paper-and-pencil pretest to determine ability to perform transformations at the perceptual-recognition level; (2) an individual test to see if students could physically perform flips, turns, and slides; and (3) a three-part transformation test, measuring performance on individual motions, compositions, and inverses. Five Age X Motion ANOVAs were used to analyze the five tests. Age was significant only in the pretest and the individual motions test. Slides were easier to perform than either flips or turns. A majority of subjects in each group failed to perform individual motions, compositions, and inverse motions; the majority of the errors on each task came from the failure to conserve length. (DT)
Publication Type: Reports - Research
Education Level: N/A
Audience: N/A
Language: N/A
Sponsor: N/A
Authoring Institution: N/A
Note: Paper presented at the Annual Meeting of the National Council of Teachers of Mathematics (Atlantic City, New Jersey, 1974)