A diagnostic methodology for large-scale assessment was employed to compare performance on a national test in mathematics of representative samples of Jewish and Arab 8th graders in Israel in order to shed light on a previously identified large achievement gap between these 2 populations. The results revealed significant differences between the 2…

Illustrates use of rule space as a tool for cognitive analysis of students' mathematical behavior. The rule-space approach is explained and used to classify students according to two methods for solving linear algebraic equations in one unknown and diagnose their knowledge states on this topic. (Author/MDH)

The effect of multiple-choice (MC) or open-ended (OE) response format on diagnostic assessment of algebra test performance was investigated with 231 eighth and ninth graders in Tel Aviv (Israel) using bug or rule space analysis. Both analyses indicated closer similarity between parallel OE subsets than between stem-equivalent OE and MC subsets.…

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…

Diagnoses of students' performance on procedural mathematical tasks need to display a certain level of stability and robustness if they are to be used as the basis for remediation, particularly with computer-delivered instruction. The purpose of this study was to compare two diagnostic approaches for describing students' (n=231) errors in algebra…