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- W1987525834 abstract "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." @default.
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- W1987525834 date "1993-11-01" @default.
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- W1987525834 title "Diagnosing Knowledge States in Algebra Using the Rule-Space Model" @default.
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- W1987525834 doi "https://doi.org/10.5951/jresematheduc.24.5.0442" @default.
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