• 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.

• Journal of the Korean School Mathematics Society
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• v.16 no.3
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• pp.479-498
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• 2013

As education is one of key factors to improve national competitiveness, quality education becomes a top priority in all countries around the world. In South Korea, The Basic Skills Competency Test is administered annually to select below-basic third graders and provide intervention programs. The Basic Skills Competency Test was designed to diagnose the minimal competency of third graders according to a national-level standards. The purpose of this study was to analyze standard-setting procedures and set cut-off scores. This study offered the empirical evidence that standard-setting is generally applicable in schools by the modified Ebel method. More future researches addressing appropriate and efficient standard-setting methods in real school situations are needed to be taken in.

• Education of Primary School Mathematics
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• v.16 no.2
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• pp.163-182
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• 2013

The purpose of this study is an analysis on the 3rd graders' achievement in the elementary school. For this purpose, this study, first, analysed on the 3rd graders' achievement like the ratios of the achievement levels for whole students, sexual students, and regional students. Second, this study analysed the 3rd graders' assessment results like the total averages, averages for the contents area, sexual students, and regional students. Third, this study analysed students' special responses on the items.

• Korean Journal of Comparative Education
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• v.28 no.5
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• pp.1-19
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• 2018

The purpose of educational assessments such as the Trends in International Mathematics and Science Study (TIMSS) is to compare groups such as countries. When the unit of measurement is above the student level, group-level diagnostic assessment based on multilevel item response theory (ML-IRT) can be considered just as cognitive diagnosis models are developed from item response theory. This study suggests an ML-IRT-based group-level diagnostic assessment model by modifying an item feature model by Park and bolt (2008). The model is illustrated on the recently released TIMSS 2015 Grade 8 mathematics assessment. The results provide skill profiles for the studied countries and the nine cognitive attributes; that is, the attribute effects can be compared across the countries and also across the attributes. By controlling unexplained variance, the suggested model may provide more reliable and more informative group-level comparisons. The results are interpreted using an example. Limitations and directions for future research are also discussed.

• Journal of Educational Research in Mathematics
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• v.19 no.4
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• pp.531-543
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• 2009

This study identified what cognitive attributes are required of eighth graders to solve geometrical problems such as 'Recall,' 'Analyze,' 'Justify,' 'Synthesize/Integrate,' and 'Solve Non-routine Problems' by using the cognitive diagnostic theory. The five attributes are proved as the skills for solving the geometric problems. Many students have not fully mastered the attributes of 'Justify' and 'Synthesize/Integrate'. There was high correlation between these attributes. 'Analyze' best predicted the changes in the geometric achievement. And while students with high levels of geometrical achievement have mastered all the five attributes, those in the mid- and low-level range of performance have mastered fewer attributes.

• The Journal of Korean Association of Computer Education
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• v.4 no.1
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• pp.119-126
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• 2001

In this paper, a highly effective learning model that can be applied to the 7th level-based curriculum, which will begin in high schools in the year 2002, will be proposed. Two learning models that have different perspectives on dividing the students into level groups(diagnostic evaluation model and formative evaluation model) were introduced, and teaching materials for each model were developed. After applying the teaching materials to actual classes, the achievement rate of the students was analyzed. According to the results of this research, the achievement rate of students is affected by the point of time at which they are divided into level groups, and formative evaluation proved to be the superior learning model dividing students into level groups.

• School Mathematics
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• v.15 no.2
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• pp.289-314
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• 2013

Achievement profile by attribute in Korean students' mathematics was analyzed by applying cognitive diagnostic model, which is the newest measurement theory, to 2011 NAEA(National Assessment of Educational Assessment) results. The results are as follows. As the level of school is higher from 6th grade, 9th grade to 11th grade, the percentage of students mastering cognitive attribute 9(expressions using picture, table, graph, formula, symbol, writing, etc) drastically declined from 78%, 35% to 26%. It is necessary to have learning strategies to reinforce their abilities of expressing table, graph, etc. that higher graders in mathematics are more vulnerable to. Next, the property of mastering cognitive attributes according to gender, multi-cultural family was analyzed. In terms of mathematics, the percentage of girls mastering most of the attribute generally is higher than that of boys from 6th grade to 9th grade, however, boys show higher mastery in almost attributes than girls in the 11th grade. Compared to boys, the part where girls have the most trouble is attribute 9 in mathematics(expressions using picture, table, graph, formula, symbol, writing, etc). As international marriage, influx of foreign workers, etc. increase, the number of students from Korea's multi-cultural families is expected to be higher, therefore, identifying the characteristics of their educational achievement is significant in reinforcing Korea's basic achievement. In mathematics, gap of mastery level of attributes between multi-cultural group and ordinary group is more severe in higher grade and the type of multi-cultural group that needs supports for improving achievement most urgently changed in 6th grade, 9th grade and 11th grade respectively. In the 6th and 11th grade, migrant students from North Korea show the lowest level of mastering attributes, however, in the 9th grade, the mastery rate of immigrant students is lowest. Therefore, there is an implication that supporting plans for improving achievement of students from multi-cultural family should establish other strategies based on the characteristics of school level.

• School Mathematics
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• v.10 no.2
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• pp.259-277
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• 2008

Conventional assessments only provide a single summary score that indicates the overall performance level or achievement level of a student in a single learning area. For assessments to be more effective, test should provide useful diagnostic information in addition to single overall scores. Cognitive diagnosis modeling provides useful information by estimating individual knowledge states by assessing whether an examinee has mastered specific attributes measured by the test(Embretson, 1990; DiBello, Stout, & Rousses, 1995; Tatsuoka, 1995). Attributes are skills or cognitive processes that are required to perform correctly on a particular item. By the results of this study, students, parents, and teachers would be able to see where a student stands with respect to mastering the attributes. Such information could be used to guide the learner and teacher toward areas requiring more study. By being able to assess where they stand in regard to the attributes that compose an item, students can plan a more effective learning path to be desired proficiency levels. It would be very helpful to the examinee if score reports can provide the scale scores as well as the skill profiles. While the scale scores are believed to provide students' math ability by reporting only one score point, the skill profiles can offer a skill level of strong, weak or mixed for each student for each skill.

• Communications of Mathematical Education
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• v.25 no.3
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• pp.593-606
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• 2011

We carried out mathematics diagnostic tests for all first year engineering students at C University in Daejeon in 2008, covering precalculus and basic calculus. Then we divided into two classes such as regular and supplementary classes. The supplementary class students are lower 13% students. Then we gave extra classes for these students to support their basic and elementary calculus skills. As a result, these supplementary students received a meaningful accomplishment at the final exam. This paper analyzes the results and effects of various types of supplementary classes such as education by level, and proposes some strategies to enhance mathematics learning, particularly for under achieving first year engineering students.

• The Journal of Korean Association of Computer Education
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• v.7 no.1
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• pp.107-118
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• 2004

This study aims to design and implement individual complete learning system based on IPI(Individually Prescribed Instruction) model. Most of current web based learning systems do not consider individual students' ability and just follow the sequence of instructing contents $\rightarrow$ providing problems $\rightarrow$ presenting the result of evaluating. However, this system focuses on individual ability prior to studying subjects. In individual complete learning system, it is acknowledged that a period and a pace to complete each task will differ from students to students, therefore until they complete the whole unit, they are not allowed to move onto the next unit. After completing each unit, there will be a process of evaluating students' performance. It is necessary to show the correct completion of 80% of the evaluation to move onto next step; for those who are evaluated as inadequate to move on, an individual supplementary instruction will be provided. Therefore, this study intends to supplement the deficit of prior learning and provide feedback dependent on individual's learning ability so that the goal of Individual Whole Complete Learning could be accomplished.