• The Mathematical Education
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• v.40 no.1
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• pp.67-75
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• 2001

Since performance assessment was introduced in Korea in the middle of 1990, many problems which include its definition, characters, methods and scorings etc., raised in mathematics education worlds. Therefore this paper presents the theoretical background of performance assessment in mathematics education. Contemporary teaching and loaming theories reject stimulus-response theory which emphasizes outcome. Performance assessment emphasizes the assessment which reveal learning process and various strategies. And it bases on constructivism and socio-cultural perspective. This paper presents paradigms which guide the roles and purposes of assessment. The paradigms include conventional paradigm, constructivist paradigm and critical paradigm. There is a close correlation between constructivist paradigm and performance assessment. Assessment has to grasp the development of present and the possibility of development of future of the students. Performance assessment must be fixed the new paradigm of education for this purpose.

• Journal for History of Mathematics
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• v.27 no.5
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• pp.347-364
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• 2014

This study aims at what is required knowledge and ability to pre-service math teachers in teacher certificate examination. First, the items are analyzed and among questions of discipline of mathematics education in the last five years are analyzed and classified. Second, an analytical framework suitable for item analysis is examined and the items are analysed by the analytical framework. Finally, helpful implications for discipline of mathematics education assessment can be drawn from this study. It is found that the discipline of mathematics education assessment has the following characteristics: 1) It assesses specific content of the assessment component; 2) It assesses a teacher's theoretical knowledge, practical knowledge and creative knowledge in terms of teaching ability; 3) There are six cognitive assessments; 4) There is an item for difficulty adjustment.

• Journal of Educational Research in Mathematics
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• v.24 no.4
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• pp.573-594
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• 2014

Capacity of making assessment items among teacher's assessment competency is essential element in validity and reliability of assessment. Errors in test items on the formal and content aspects can be a big stumbling block to derive a correct evaluation result. Through this assessment, the positive feedback can not be derived. In this study, By analyzing midterm and final 60 exam papers for geometry and vector in 45 high Schools of Seoul GyeonggiIncheon area, We argue error items and improvements on the formal and content aspect the paper-based assessment of mathematics. Through this, Our intention is to improve the skills of teachers for making assessment items.

• The Mathematical Education
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• v.50 no.1
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• pp.13-25
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• 2011

The Goals of mathematics education for the lower grades of primary school is to shape the basic concepts and the skills of mathematics. To achieve this goal, it is necessary an assessment which is able to help the students' learning activities by precisely diagnosing their basic mathematical capability. It should lend the students an assistance in diagnosing and revising their problems throughout teacher's cognitive participation in the process of mathematical problem solving. I would like to suggest the dynamic assessment as one of these kinds of approaches. In order to prove the utilities of this way, it was examined the necessity of dynamic assessment on the basis of the Vygotsky's theory after looking into the characteristics of the contents and methods of the mathematics education for the lower grades of primary school. Next, I researched the principles of the dynamic assessment and embodied the assessment tool to evaluate the mathematical achievement of the lower grades of the primary school. Lastly, it was provided the examples of the dynamic assessment tool in order to assist the practice of it.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.3
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• pp.279-297
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• 2020

The purpose of this study is to find ways to establish and operate Process-focused Assessment in the classroom as the 2015 revised curriculum has emerged. As a way of doing so, we proposed a Process-focused Assessment through self-assessment and looked at the impact of the applied classes on the mathematical academic performance and affective domain of fifth-grade elementary school students. After selecting two classes of fifth grade with proven homogeneity for research, the experimental group applied Process-focused Assessment through self-assessment and the teacher-led Process-focused Assessment to the comparative group. As a result, it was confirmed that the classes applying Process-focused Assessment through self-assessment significantly improved the math and academic performance of fifth-grade elementary school students. The affective domain of the experimental group did not change significantly, but the analysis of the students' comments and interview data showed that they had more interest and confidence in mathematics.

• Journal of Educational Research in Mathematics
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• v.8 no.1
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• pp.217-235
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• 1998

The purpose of this study is to define the altenative assessment and to suggest the method of scoring system. Alternative assessment includes any type of assessment in which student create reponses to a question rather than choosing a responses form given list( as for multiple choice, true/false, or matching). Alternative assessment can includes short answer questions, essay, performances, oral presentation, demonstrations, exhibitions, portfolios, and etc. To evaluate the each type of assessment, we can apply the method of holistic scoring and analytic scoring system. Also we have to concern the type of scoring mechanism directly relate to what we want to assess, our purpose for assessment fitting into the educational enterprise. Before applying the alternative assessment in our classroom, we need to step back and reconsider all our design features and teachers' responsibility.

• Journal of the Korean School Mathematics Society
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• v.14 no.3
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• pp.241-263
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• 2011

On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good mathematics instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including ‘teaching and learning methods and assesment' between 2007 and 2008. The purposes of development of mathematics teaching evaluation standards through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those three studies (namely, evaluation standards) focused on the knowledge of 'teaching and learning methods and assessment'. For this purpose, seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. According to those seventh evaluation domains, elements on teaching evaluation focused on the knowledge of 'teaching and learning methods and assessment' were established.

• Journal of the Korean School Mathematics Society
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• v.4 no.1
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• pp.125-136
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• 2001

This research is about how the adapted learning of descriptive assessment problems influence on the extension of the ability of the students. As a result, adapted learning of descriptive assessment problems totally led to positive effect, and according to the analyses of behavioral objectives divided into knowledge, comprehension and problem solving, they had more effect on the ability of students' problem solving. Learning attitude of the students were changed into self-centered learning attitude and interest on the subject of mathematics were highly increased since the research had started. If we adapt this research to the learning of mathematics after we develop various problems that can develop creativity, I'm sure that it will be a effective way for both extension of the ability and problem solving ability of the students.

• The Mathematical Education
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• v.47 no.4
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• pp.487-503
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• 2008

In this paper, descriptive assessment method for middle school mathematics was evaluated by developing a framework for designing and grading problems for descriptive assessment and analyzing the effectiveness of the problems. The new descriptive assessment problems were developed by reviewing the current 7th National Mathematics Curriculum of Korea and aligned mathematics textbooks to define a set of problem design principles and evaluation framework for the assessment strategy. The developed problems were first pilot tested and then revised based on the feedback from the test. The final version was field tested by 100 students in 7th grade middle school. After the field test, the problems were graded by two middle school math teachers and one math education researcher to determine the overall correlation between graders and also to analyze effectiveness of the evaluation framework of the test. This result of this study is expected to assist in the further development of descriptive problems and grading framework by providing a reference work for teachers to better understand the process and the limitations of executing the new assessment strategy.

• School Mathematics
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• v.4 no.3
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• pp.513-537
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• 2002

The aim of this study is to investigate the purpose of the performance assess-ment, to develop and to apply it's task. By reviewing previous study, I conclude that the performance assessment is sug-gested to evaluate mathematical thinking and attitude in the purpose of school mathematics. To develop the task to fit the purpose of the performance assessment, I refer to the middle and high level in Van den Heuvel's classification the task "Find the number in the star" and about the assess-ment of school mathematics. Then I apply the performance assessment task developed according to this level, analyse the responses of children to "Let's make the problem" and suggest it's assessment rubric and anchor papers for each level for illustrating the process of developing a rubric. Finally, considerations to improve the performance assessment are discussed.