• Journal of the Korean School Mathematics Society
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• v.9 no.4
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• pp.459-479
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• 2006

The purpose of this study is to investigate the applicability of DGS(dynamic geometry software) for the assessment of reasoning ability and the influence of DGS on the process of assessing students' reasoning ability in middle school geometry. We developed items for assessing students' reasoning ability by using DGS in the connected form of 'construction - inductive reasoning - deductive reasoning'. And then, a case study was carried out with 5 students. We analyzed the results from 3 perspectives, that is, the assessment of students' construction ability, inductive reasoning ability, and justification types. Items can help students more precisely display reasoning ability Moreover, using of DGS will help teachers easily construct the assessment items of inductive reasoning, and widen range of constructing items.

• Journal of the Korean School Mathematics Society
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• v.20 no.4
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• pp.387-404
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• 2017

In this paper, in the last 4 years(2014~2017 school year), we classified the probability and statistical items based on the evaluation scope of the mathematics subject content knowledge which were presented by the Korea Institute for Curriculum and Evaluation, and the classified items were analyzed. As a result, First, in order to induce normalization of the probability and statistical curriculum, four assessment field should be evenly distributed. Second, integrated thinking and comprehensive analytical thinking assessment is required. Third, item an epilogue should be used to measure mathematical thinking and logical competence. Fourth, the ratio of the number of items in probability and statistics to the number of that was 7.7%~10.0%, and the ratio according to the item weighting was 5.0%~7.5%. Fifth, it maintains the policy of stabilizing a good the level of difficulty of the items. Finally, probability and statistical assessment should focus on measuring problem solving ability from an inductive point of view.

• The Mathematical Education
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• v.53 no.2
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• pp.219-237
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• 2014

In this study we desire to deduce implications for mathematics curriculum, teaching- learning, and evaluation from the data of Nation Assessment of Educational Achievement. For this, first we extracted the items written by the same achievement standard over two years from 2010 to 2012. Next we investigated whether the items are the representative items of a certain proficiency level and classified into the case of the items of the same proficiency level and the case of the items of different proficiency levels. Based on these we analysed learning characteristic of the each proficiency level. From the results of the above, we proposed what should be changed in mathematics curriculum, what should be considered in teaching-learning, and what should be paid attention to test item development.

• School Mathematics
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• v.9 no.2
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• pp.223-240
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• 2007

The purpose of this study was to investigate the degree to which the middle school mathematics curriculum matched the item difficulty levels of representative mathematics items. The items used in this study were developed for the National Assessment of Educational Achievement. Ranks for difficulty values of the 60 multiple-choice item were calculated via both Classical Test Theory and Item Response Theory and correlated with the rank order of the mathematics content and cognitive domains sequence. There are six content domains; number and operation, algebra, measurement, figure, pattern and function, and probability and statistics. The cognitive domains include computation, understanding, reasoning and problem-solving. Results suggest a congruence between cognitive domain's sequence and item difficulty levels of items based on that sequence. This finding indicates that the linear or hierarchical assumptions concerning the sequence appears to be reasonable. The characteristics of items that were exceptions to this trend were addressed.

• The Mathematical Education
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• v.53 no.2
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• pp.163-184
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• 2014

The purpose of this study was to develop the assessment tools using graphing calculators for the assessment of the mathematical process which was emphasized in 2009 reformed mathematics curriculum. In this paper, we presented three sample calculator-based test items for the assessment of students' mathematical process abilities and scoring rubrics for the paper and pencil assessment and assessment based on observation on each item. In order to improve mathematics teachers' understanding of the assessment tools using graphing calculators and to show the procedures of assessment using technological devices, we also drew up assessment guidelines. We hope the results of the study contribute to the promotion of assessment environment encouraging the use of graphing calculators in assessments.

• School Mathematics
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• v.19 no.2
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• pp.369-384
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• 2017

Current Mathematics of CSAT(College Scholastic Ability Test) faced with preparing the test system and test items according to the new curriculum. The discuss about how to construct the items and what form of items should be set was not conducted enough. To accord with these requirements, in this study, mathematics exams for university entrance in Taiwan are investigated. We look into General Scholastic Ability Test(GSAT) and Advanced Subjects Test(AST) in Taiwan. Those exams are analyzed in terms of exam system, mathematical contents, types of items, and so on. And then on the basis of this, we discuss implications on mathematics assessment type and contents, further mathematics learning.

• Journal of the Korean School Mathematics Society
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• v.22 no.1
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• pp.81-94
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• 2019

The purpose of this study is to investigate the meaning of CAS(Computer Algebra System) using in mathematics teaching and learning, and the change of the theory of mathematics teaching and learning caused by introduction of CAS. Especially, when CAS was introduced, some categories of assessment items were examined, and alternative assessment directions were presented and the implications of them were discussed.

• Education of Primary School Mathematics
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• v.8 no.2 s.16
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• pp.61-68
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• 2004

The purpose of this study is to develope and analyze the assessment items which can be used in evaluation of the fraction computation ability for fifth grade students. The item development team consists of three elementary school teachers and three mathematics education expert. The developed items was analyzed item analysis after applying to 135 fifth grade students. As a results of item analysis, it shows meaningful over the level of a standard basis: reliability: 0.80; validity: item 1(1.05), item 2(1.10), item 3(.85), item 4(.90), item 5(1.08); item difficulty: item 1(-.22), item 2(-.41), item 3(.23), item 4(.40), item 5(-.01); item discrimination: item 1(.73), item 2(.73), item 3(.67), item 4(.51), item 5(.56). This means that the test tool could be useful in the evaluation of the fraction computation ability.

• Journal of Educational Research in Mathematics
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• v.10 no.2
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• pp.161-182
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• 2000

This study is to develop assessment framework, test items and questionnaire for the National Assessment of Educational Achievement(NAEA), which administered in the elementary and secondary schools across the country in this year(2000). According to the first year study result of the NAEA, the test was administered in two core subjects, Mathematics and Social Studies. In this study, test items and sets of questionnaire and administered pretest were developed in the last year. In this year, the NAEA was administered with the adjusted test items and questionnaires and the results was analyzed and would be reported to the public. NAEA was developed on the basis of national curriculum, especially of the nature and objectives of subject curriculum in Mathematics (and also Social Studies). In the framework of assessment, we set up four differentiated levels of student achievement: 'under basic', 'basic', 'intermediary', and 'advanced'. Here 'the intermediary level' means the level of educational achievement in which students can understand average content of subject curriculum. 'Advanced level' indicates the level of educational achievement in which students master all the content of subject curriculum and apply basic concepts and principles to a variety of situations. 'The basic level' means the level of educational achievement in which students do not achieve the intermediary level. Students who do not understand average content of subject curriculum are classified as belonging to the basic level. Finally, this study would explain how to administer and analyze the test in the future. The test result was analyzed to report students' educational achievement according to regions, content areas, behavioral characteristics, and etc. This study would show how to report test result\ulcorner and how to set up students' academic achievement.

• Education of Primary School Mathematics
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• v.13 no.1
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• pp.1-11
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• 2010

Assessment provides valuable information for both teachers and students regarding how well each is doing. Assessment also defines what students must know and be able to do to succeed in a teacher's class. The purpose of this study is to analysis the mathematics assessment items based on strands of mathematical proficiency of National Research Council. According to the study results, the rate of right answers was high in adaptive reasoning and conceptual understanding(over 80%). On the other hand, the rate of right answers was lower in strategic competence(62%) than other strands.