DIAGNOSING KNOWLEDGE STATES IN ALGEBRA USING THE RULE SPACE MODEL

1992 ◽  
Vol 1992 (2) ◽  
pp. i-25 ◽  
Author(s):  
Menucha Birenbaum ◽  
Anthony E. Kelly ◽  
Kikumi K. Tatsuoka
Keyword(s):  
Space Model ◽  
Rule Space ◽  
Knowledge States ◽  
Rule Space Model

Diagnosing Knowledge States in Algebra Using the Rule-Space Model

1993 ◽  
Vol 24 (5) ◽  
pp. 442 ◽  
Author(s):  
Menucha Birenbaum ◽  
Anthony E. Kelly ◽  
Kikumi K. Tatsuoka
Keyword(s):  
Space Model ◽  
Rule Space ◽  
Knowledge States ◽  
Rule Space Model

Diagnosing Knowledge States in Algebra Using the Rule-Space Model

1993 ◽  
Vol 24 (5) ◽  
pp. 442-459
Author(s):  
Menucha Birenbaum ◽  
Anthony E. Kelly ◽  
Kikumi K. Tatsuoka
Keyword(s):  
Ninth Graders ◽  
Algebraic Equations ◽  
Space Model ◽  
Rule Space ◽  
Knowledge States ◽  
Linear Algebraic Equations ◽  
Rule Space Model ◽  
Mathematical Behavior ◽  
Space Approach

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. Two outcomes of the rule-space model are presented: (a) a classification of examinees into knowledge states resulting from the two solution approaches at the group level along with individual examples and (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.

Extending the Rule Space Model to a Semantically-Rich Domain: Diagnostic Assessment in Architecture.

1993 ◽  
Author(s):  
Irvin R. Katz ◽  
Michael E. Martinez ◽  
Kathleen Sheehan ◽  
Kikumi K. Tatsuoka
Keyword(s):  
Diagnostic Assessment ◽  
Space Model ◽  
Rich Domain ◽  
Rule Space ◽  
Rule Space Model

Applying the Rule Space Model to Develop a Learning Progression for Thermochemistry

2016 ◽  
Vol 47 (6) ◽  
pp. 1357-1378 ◽  
Author(s):  
Fu Chen ◽  
Shanshan Zhang ◽  
Yanfang Guo ◽  
Tao Xin
Keyword(s):  
Learning Progression ◽  
Space Model ◽  
Rule Space ◽  
Rule Space Model
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