ERIC Number: ED355112
Record Type: Non-Journal
Publication Date: 1992-Oct
Reference Count: N/A
Diagnosing Knowledge States in Algebra Using the Rule Space Model.
Birenbaum, Menucha; And Others
This paper illustrates the use of rule space as a tool to support cognitive analyses 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 in a high school in Tel Aviv, Israel. The following outcomes of the rule space model were presented: (1) a classification of examinees into knowledge states resulting from the two solution approaches at the group level along with individual examples; and (2) 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. (Contains 20 references.) (Author/CW)
Publication Type: Reports - Research
Education Level: N/A
Sponsor: Office of Naval Research, Arlington, VA. Cognitive and Neural Sciences Div.
Authoring Institution: Educational Testing Service, Princeton, NJ.
Identifiers - Location: Israel (Tel Aviv)