Accession Number : ADA257757


Title :   Diagnosing Knowledge States in Algebra Using the Rule Space Model


Descriptive Note : Interim rept. Apr 1989-Aug 1992


Corporate Author : EDUCATIONAL TESTING SERVICE PRINCETON NJ


Personal Author(s) : Birenbaum, Menucha ; Kelly, Anthony E ; Tatsuoka, Kikumi K


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a257757.pdf


Report Date : 01 Oct 1992


Pagination or Media Count : 32


Abstract : This paper illustrates the use of rule space as a tool to support cognitive analysis of students' mathematical behavior. The rule space approach is explained and is then used to classify students into one of two methods for solving linear algebraic equations in one unknown and to diagnose their knowledge states in this topic. A 32-item test with open-ended questions was administered to 231 eighth and ninth graders. The following out comes of the rule space model were presented: (a) a classification of examinees into knowledge states resulting from the two solution approaches at the group level along with individual examples; (b) tree- diagrams of the transitional relationships among the states for each strategy. Implications for using the feedback provided by the rule space model in the context of instruction and assessment are discussed.


Descriptors :   *STUDENTS , *COGNITION , *MATHEMATICS , *BEHAVIOR , *MENTAL ABILITY , TEST AND EVALUATION , STRATEGY , INSTRUCTIONS , DIAGRAMS , APPROACH , LINEAR ALGEBRAIC EQUATIONS , PAPER , EQUATIONS , FEEDBACK , CLASSIFICATION , ALGEBRA , TOOLS , MODELS


Subject Categories : Psychology
      Numerical Mathematics


Distribution Statement : APPROVED FOR PUBLIC RELEASE