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1.
The present study investigates the degree to which item "bias" techniques can lead to interpretable results when groups are defined in terms of specified differences in the cognitive processes involved in students' problem-solving strategies. A large group of junior high school students who took a test on subtraction of fractions was divided into two subgroups judged by the rule-space model to be using different problem-solving strategies. It was confirmed by use of Mantel-Haenszel (MH) statistics that these subgroups showed different performances on items with different underlying cognitive tasks. We note that, in our case, we are far from faulting items that show differential item functioning (D1F) between two groups defined in terms of different solution strategies. Indeed, they are "desirable" items, as explained in the discussion section  相似文献   
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This study illustrates how a diagnostic testing model can be used to make detailed comparisons between student populations participating in international assessments. The performance of Turkish students on the TIMSS-R mathematics test was reanalyzed with a diagnostic testing model called the Rule Space Model. First, mathematical and cognitive skills (‘attributes’) measured by the test were determined. One hundred sixty-two items were coded in terms of their attribute involvement, creating an incidence matrix—the Q-matrix. Using the Q-matrix and the student response data, each student’s attribute mastery profile was determined. Mean attribute mastery levels of Turkish students were computed and compared to those of their American peers. It was shown that Turkish students were weak in algebra and probability/statistics. They also demonstrated poor profiles in skills such as applying rules in algebra, approximation/estimation, solving open-ended problems, recognizing patterns and relationships, and quantitative reading.
Enis DoganEmail:
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A diagnostic model for large‐scale assessment was applied to TIMSS data to compare mathematics performance of eighth graders from three countries—the US, Singapore, and Israel. Compared were attribute mastery probabilities for content, skills and cognitive processes underlying students’ performance on the 1999 TIMSS‐R mathematics test. Also compared were the proportions of students from the three samples in each of eight hierarchically ordered clusters of knowledge states. The results indicated significant differences in favour of the Singaporean sample on most attributes underlying the test. The results were discussed in light of the cultural context of education in the respective countries.  相似文献   
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This study sought a scientific way to examine whether item response curves are influenced systematically by the cognitive processes underlying solution of the items in a procedural domain (addition of fractions). Starting from an expert teacher's logical task analysis and prediction of various erroneous rules and sources of misconceptions, an error diagnostic program was developed. This program was used to carry out an error analysis of test performance by three samples of students. After the cognitive structure of the subtasks was validated by a majority of the students, the items were characterized by their underlying subtask patterns. It was found that item response curves for items in the same categories were significantly more homogeneous than those in different categories. In other words, underlying cognitive subtasks appeared to systematically influence the slopes and difficulties of item response curves.  相似文献   
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The present study examined the effect of three modes of feedback on the seriousness of error types committed on a post-test. The measure of seriousness of error types, or wrong rules, indicates to what extent the wrong rules deviate from the right rule. An on-line, free-response, six-item pre-test covering addition of signed numbers was administered to 263 eighth graders. Upon completion of the pre-test, the students were randomly assigned to receive one of the following kinds of feedback to responses to a second six-item test: (a) information about whether or not the response was correct, (b) the correct answer, or (c) the correct rule for solving the problem. The effect of the feedback mode on the seriousness of errors committed on a third six-item test, the post-test, was found to be differential and dependent upon the seriousness of errors committed on the pre-test.  相似文献   
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The purpose o f this study was to examine the consistency with which students applied procedural rules for solving signed-number operations across identical items presented in different orders. A test with 64 open-ended items was administered to 161 eighth graders. The test consisted o f two 32-item subtests containing identical items. The items in each subtest were in random order. Students'responses to each subtest were compared with respect to the identified underlying rules o f operation used to solve each problem set. The results indicated that inconsistent rule application was common among students who had not mastered signed-number arithmetic operations. In contrast, mastery level students, those who use the right rules, show a stable pattern o f rule application in signed-number arithmetic. These results are discussed in light of the hypothesis testing approach to the learning process.  相似文献   
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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 groups in patterns of strengths and weaknesses with respect to content, process, and skill/item-type attributes, indicating different paths for remedial interventions.  相似文献   
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