• Journal of Educational Research in Mathematics
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• v.23 no.2
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• pp.193-212
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• 2013

This paper aims to identify factors to elevate the effectiveness of a high school mathematics teacher's training program focused on the construction of test items, and to make a blueprint for the training program development of high school mathematics teachers. This study created and executed a teacher's training program, and then twice applied focus group interviews with the teachers who participated in the program. As a result, this study identifies four factors that elevate the effectiveness of a high school mathematics teacher's training program focused on the construction of test items: the structure of the training program that allows teachers to concentrate on constructing test items, the recognition and revision of their habits related to the construction of test items, the formation of a consensus among the participants, and self-reflection on the teachers' specialties in the construction of the test items.

• Journal of the Korean School Mathematics Society
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• v.11 no.4
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• pp.543-567
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• 2008

The current 2007 Mathematics Curriculum in Korea emphasizes mathematical problem solving, advanced mathematical thinking and effective mathematical communicating. Therefore, in order to assess and evaluate these important thinking attributes, performance evaluation using descriptive and essay type of assessments are emphasized. In this paper, analysis of the elementary mathematics curriculum is used to develop descriptive assessment problems and grading rubrics that could be used objectively and consistently by teachers of the grade 6 school mathematics. The assessment problems were developed, pilot tested, revised, implemented and analyzed in detail to understand the overall effectiveness of the descriptive evaluation method in school mathematics.

• Proceedings of the Korea Society of Mathematical Education Conference
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• 2006.04a
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• pp.211-226
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• 2006

이 연구는 수학 창의적 문제해결력을 바탕으로 수학 영재를 판별하기 위해서 수학 창의적 문제해결력 검사를 개발하고, 유창성만으로 수학 창의성을 평가한 이 검사 방법의 신뢰도와 타당도를 검증하는데 있다. 10개의 개방적인 수학 문제를 개발한 바, 수학적으로는 직관적 통찰력, 정보 조직력, 추론능력, 일반화 및 적용력, 반성적 사고력을 요구하는 문제들이다. 이 10문항을 영재교육기관에 입학하고자 지원한 초등학교 5학년 2,2029명에게 실시했다. 교사들은 각 문제에 대해 타당한 답을 제시한 빈도로 유창성을 측정했다. 학생들의 반응은 Rasch의 1모수 문항반응모형을 기반으로 한 BIGSTEPTS 로 분석했다. 문항반응 분석결과, 이 검사는 창의성을 유창성만으로 측정할 때도 영재판별 검사로서 신뢰도, 타당도, 난이도, 변별도가 모두 양호한 것으로 나타났다. 덜 정의되고, 덜 구조화되고, 신선한 문제가 영재교육 프로그램에 지원한 학생들의 수학 창의성을 측정하는데 좋은 문제임을 확인할 수 있었다. 또한 이 검사는 남학생이 여학생보다 수학 창의적 문제해결력이 우수하며, 영재교육원에 지원한 학생들이 수학영재학급에 지원한 학생들보다 더 우수함을 확인해 주었다.

• Journal of the Korean School Mathematics Society
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• v.25 no.3
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• pp.261-278
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• 2022

The purpose of this study is to develop an assessment to diagnose difficulties in learning mathematics and misconstructions that elementary students have. With thorough theoretical background and analysis of mathematics curriculum documents, we established learning trajectories for the following content areas in grades 3 to 6: number and operation, regularity, data and chance, geometry, and measurement. Then, the research team created the assessment items targeting a specific stage in the learning trajectories and including item options to identify possible misconceptions. Based on the unified validity theory, we reported the detailed procedure of the assessment development and the evidence for the content, substance, and structural validity of the assessment. We collected the data of 675 elementary students. Rasch measurement modeling was applied, and Cronbach's alpha was estimated. We considered how to report students' assessment results to teachers appropriately and immediately, which suggested important implications for supporting teaching and learning mathematics in elementary schools. We also suggested how to use the assessment developed in this study in online and distance learning environments due to the COVID-19 pandemic.

• Journal of Educational Research in Mathematics
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• v.23 no.3
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• pp.389-406
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• 2013

The purpose of this study is to analyze eighth grade students' errors in the constructed-response items to improve teaching and learning of mathematics in schools. By analyzing 99 students' responses to nine constructed-response items, we found several types of students' errors in their responses to the assessment items involving with mathematical reasoning and representations, problems within realistic contexts, and mathematical connections. Not only a single error but also multiple errors (a combination of two or more types of errors) were discovered. In particular, high achieving students showed more simple errors than multiple errors while low achieving students had more multiple errors in various kinds.

• Communications of Mathematical Education
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• v.19 no.1 s.21
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• pp.241-251
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• 2005

수학적 창의성의 평가에 대한 연구에 있어서 이를 직접 다루기보다는 주로 일반적 창의성에 기반을 두고 창의성의 증진이나 육성 방안의 검증을 위한 검사 문항의 연구가 대부분이었다. 따라서 본고에서는 수학적 창의성이 일반적 창의성과 다르게 가지는 요인을 언급하고, 수학적 창의성의 평가에 대한 모델을 제안하고자 한다. 평가목표를 제시하고 수학적 창의성의 하위 구성요소인 창의적 사고력과 창의적 태도에 대한 검사가 일관되게 연결되어, 궁극적으로 수학적 창의성의 평가가 이루어져야 한다. 본고에서는 우선 창의적 사고력에 대한 평가에 관하여 선행연구를 고찰하고, 평가에서 개방형 문제가 중요함을 역설하면서 계속적인 문항 개발이 필요함을 강조하고자 한다.

• The Mathematical Education
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• v.46 no.2 s.117
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• pp.207-226
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• 2007

The purpose of this study was to design and develop the processes of tasks and assessment rubrics of open-ended tasks, and those for the 5th graders of elementary school mathematics. 7 tasks were finally developed, and 'problem understanding', 'problem solving process', 'communication' were selected as the criteria for assessment rubrics. The result was that the ability of mathematical power covering problem understanding ability, problem solving ability and mathematical communication ability was low. Specifically, problem understanding ability was the highest, problem solving ability was middle, and mathematical communication ability was the lowest.

• Journal of Educational Research in Mathematics
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• v.16 no.3
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• pp.199-220
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• 2006

One of the main objectives of National Assessment of Educational Achievement (NAEA), which is implemented by Korea Institute of Curriculum and Evaluation(KICE), is to manage the qualities of National Curriculum. Thus we considered NAEA as the research for educational program assessment and tried to find out how to make NAEA better for achieving that objective. For the purpose of this paper we analyzed the present conditions of NAEA into four perspectives. And then according to each perspective we explored schemes for improving NAEA. In conclusion, we proposed the following; Firstly, in relation to assessing students' understanding of the mathematics contents, the meanings of Achievement Levels have to become much more clear and concrete. in relation to assessing for comparing student' understanding according to mathermatics content areas, the number of items has to be increased for elevating validities of NAEA. Thirdly, in relation to gathering the information about properties which are shown by the students in particular Achievement, it is necessary to think about how to produce items for the purpose in the step of developing items in NAEA. Finally in relation to collecting the data which can be useful for relevance of mathematics contents, it is necessary to make a special group of items for identifying relevance of mathematics contents, and to apply performance assessments on part of the students, not whole students.

• Communications of Mathematical Education
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• v.26 no.3
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• pp.273-299
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• 2012

The purpose of this study is to investigate how constructed-response assessments are currently defined and used to find an alternative way of developing well-defined constructed-response questions and an assessment system. Based on our review of the literature, we analyze constructed-response assessments developed and used in Gyeonggi-do, South Korea and Ohio, U.S.A. in terms of their definitions, types of questions, information and guidelines given by the government agencies in each place, and scoring rubrics and their use. The results provide meaningful implications for the development of constructed-response assessments in the future.

• Communications of Mathematical Education
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• v.29 no.1
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• pp.73-90
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• 2015

When teachers make up assessment questions regarding the content area that contains shapes and graphs, they should present the pictures so that their role might be represented properly. We exhibited the process of constructing shapes and graphs utilizing GeoGebra, and simultaneously analyzed the process of developing and revising questions using this and awareness changes in teachers who participate in the teacher's training focused on improving professionalism for making up questions such as CSAT(College Scholastic Ability Test). Through the survey they mentioned that making questions utilizing algebraic construction overcame the limitations of making up questions and played an instrumental role in developing creative questions. Based on the results, We suggested effectiveness of making up questions utilizing algebraic construction. Our intention was to improve the skills of teachers for making up questions such as CSAT and to suggest implications about it.