ERIC Number: ED319781
Record Type: Non-Journal
Publication Date: 1990-Feb
Pages: 35
Abstractor: N/A
ISBN: N/A
ISSN: N/A
EISSN: N/A
Available Date: N/A
Validity of Alternative Measurement Procedures for Assessing Mathematical Problem-Solving Processes and Performance.
Webb, Noreen; And Others
This study involving 29 students enrolled in an 8-week summer Algebra II class for minority students was undertaken to determine the relationship between the kinds of symbolic forms used in problem-solving instruction and students' problem-solving processes and performance. All subjects were Black or Hispanic and were about to enter grade 11. For problems involving solving simultaneous equations in two unknowns and distance-rate-time relationships, sets of problems were developed that varied in the symbolic form of the problem presented and of the response required. Approximately half of the problems were open-ended; the other half were multiple-choice. Data on teacher instructional methods came from the printed materials used by teachers, student notes, and interviews with teachers. Results indicate that: (1) sole use of conventional symbolic representations provides a limited picture of students' problem-solving abilities; (2) students' difficulties in translating symbolic representations can be understood by systematically varying the symbolic form of problem and response required; (3) using alternative symbolic forms of the required response may be a good means of measuring students' conceptual understanding of mathematics; and (4) types of translation between symbolic forms during instruction did not seem to play a major role. Two data tables and 11 sample test items are included. (TJH)
Descriptors: Algebra, Black Students, Grade 11, High School Students, High Schools, Hispanic Americans, Mathematical Applications, Mathematics Achievement, Mathematics Tests, Multiple Choice Tests, Problem Solving, Secondary School Mathematics, Secondary School Teachers, Summer Schools, Symbolic Learning, Teaching Methods, Test Validity
Publication Type: Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: Office of Educational Research and Improvement (ED), Washington, DC.; National Science Foundation, Washington, DC.
Authoring Institution: Center for Research on Evaluation, Standards, and Student Testing, Los Angeles, CA.
Grant or Contract Numbers: N/A
Author Affiliations: N/A