• Communications of Mathematical Education
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• v.22 no.2
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• pp.109-124
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• 2008

A characteristic of the national mathematics curriculum revised in 2007 is to repeal the level-oriented individualized curriculum and choose substance of individualized teaching and learning based on the student's achievement level and quality. To do this we first have to think through how to compare students' achievement and differentiate classes. In this paper, we introduce the (modified) Angoff method as a method for comparing students' achievement and the concept of representative items for each achievement level in the National Assessment of Educational Achievement of Mathematics, and discuss how to use them in individualized teaching and learning, especially comparing students' achievement.

• School Mathematics
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• v.6 no.3
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• pp.301-312
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• 2004

The aim of the National Assessment of Educational Achievement (NAEA) is to produce specific and reliable resources required for the diagnosis and quality control of teaching and learning by measuring the level of students achievement based on the national curriculum. In 2002, we introduced ‘modified Angoff Method’ to obtain more systematic and rational results about the achievement levels. The result indicated the differences of achievement level according to the differences of sexes. Female students achieved higher scores than male students in Grade 6. Male students achieved higher scores than female students in Grade 9 and 10. Furthermore it disclosed a problematic phenomenon that students in small towns and rural areas showed significantly lower scores in all six sub-areas of Mathematics compared with students in metropolitan and cities. The results from the NAEA listed above could be used as the authentic data for improving national curriculum and teaching and learning methods, the establishment of educational policies, and many other areas.

• School Mathematics
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• v.7 no.1
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• pp.33-54
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• 2005

One of the major results of National Assessment of Educational Achievement in 2003 is that the final test results were reported by four levels such as Advanced, Proficient, Basic, and Below Basic. We used it to investigate into the characteristics of students according to achievement levels, and finally we listed them. We think that these results will be a help to instructions according to achievement levels.