• School Mathematics
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• v.3 no.2
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• pp.325-354
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• 2001

The study aims to develop balanced performance assessment tasks for primary school mathematics which can be implemented in the primary school easily. In order to these purposes, I suggest the types of performance assessment tasks and the framework of assessment standards for the balanced performance assessment with describing the procedures of developing tasks and rubrics. The types of task are journal writing, problem posing, constructed task, and descriptive task. In the framework of assessment standards, I suggest holistic scoring which are classified as four levels according to the degree of excellence which students perform totally concerning about the criterion of implication, reasoning, accuracy, and communication. Also I analyse the responses of children to the task “make a beautiful pattern” and suggest its assessment rubric and anchor papers for each level for illustrating the process of developing a rubric in holistic scoring. In order to reflect the viewpoints of children and their Parents concerning about the tasks, the responses in self assessment and parent assessment are analysed. Finally, methods of implementing the assessment tasks and considerations are discussed.

• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.505-518
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• 2007

The purpose of this paper is to investigate the meaning of assessment for students, parents and mathematics teachers in middle school mathematics. For this purpose, we made an inspection to find out how the students grasped assessment results of mathematics, an investigation on the parents questionnaire to catch their viewpoints about assessment in school mathematics. Then, we interviewed three students, three teachers to confirm or to supplement the collected data. From the analyzing of data, we found the followings: First, it is not reasonable to evaluate the middle school students' mathematics accomplishment level using only paper test score. Second, almost all parents focus on their interesting to mathematics test score of their children not any other factors, such as intellectual accomplishment. Third, mathematics teachers claim that private education for only the mathematics test score can block the improving of students' mathematical thinking and application ability of mathematical knowledge.

• Journal of the Korean School Mathematics Society
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• v.4 no.2
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• pp.61-74
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• 2001

The purposes of this study are to develop the mathematical performance assessment tasks and to apply them to the middle school students. And I also intend to know the students' inclination and learning attitude to mathematics. In order to satisfy this study, I developed the performance assessment tasks and the standard program of marking about the mathematical function and statistics for the first grade students at middle school. After examining the students' basic investigation, their inclination and learning attitude to mathematics, I applied these developed tasks to them After that I put both classes and performance assessment into operation in all 15 periods. I set up two classes of the first grade students (49 students) at J middle school in Kongju, Chungcheongnam-do as a model group. The results of this study are as follows: First, owing to the developed performance assessment tasks of function and statistics, the teachers can operate the assessment system as a process of teaching and learning. Second, because of the application of mathematical performance assessment tasks, we can change the students' inclination and learning attitude to mathematics affirmatively. And by using these tasks, we can help the students to think mathematically. In this way, the students will be able to realize the real value of mathematics and have a growing interest in mathematics through all these meaningful processes. Judging from this study, we can elevate the students' abilities of problem solving and reasoning and improve teaching-learning method by applying the performance assessment tasks to them. Thanks to these tasks, the students will be changed affirmatively in their inclination and learning attitude to mathematics. I think that these tasks are very good assessment method which can call forth curiosity and interest. Besides, they can also help the students realize the real value of mathematics.

• The Mathematical Education
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• v.59 no.4
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• pp.295-312
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• 2020

This study aimed to investigate and compare perceptions of middle and high school mathematics teachers on assessment. For the purpose, we developed and used a survey consisting of two parts(importance/performance on assessment and general opinion on process-based assessment). We gathered data from 188 middle school and 125 high school mathematics teachers in Incheon area. An Importance-Performance Analysis(IPA) method was used for data analysis. As results, middle school mathematics teachers showed higher perception on both importance and performance in almost all area on assessment than high school teachers. In addition, research results based on teaching experience indicated that mathematics teachers having more teaching experience seemed to perceive high importance-high performance and low importance-low performance tasks more than mathematics teachers having less experience. In particular, middle school teachers recognized many low importance-high performance tasks according to their teaching experience. The IPA gave us different results depending on the school size. The larger the school, the more diverse opinions appeared tasks in low importance-high performance. From the general opinion on process-based assessment, the middle school mathematics teachers also seemed to have more positive perspectives and to be more active in assessment than high school mathematics teachers. Finally, we discuss implications for future policy formulation and implementation on process-based assessment.

• Journal of Educational Research in Mathematics
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• v.26 no.4
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• pp.819-834
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• 2016

As a method to lead a change in mathematics education, recently reformation of assessment appears as a concept of process-focused assessment. Process-focused assessment is the concept that 2015 revised mathematics curriculum aims for, which is promoted also in policy. This research suggested a significance of process-focused assessment that has not been determined in conceptualization and the practical model. For this, this research investigated the content of the assessment on 2015 revised mathematics curriculum, and explored process-focused assessment based on the recent education assessment theory and research. Also, we suggested a model of practical plan by investigating the condition to perform the process-focused assessment. This research could take a basic role to practice process-focused assessment and investigate the concrete plan in the mathematics class field.

• The Mathematical Education
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• v.47 no.4
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• pp.421-436
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• 2008

Mathematics assessment doesn't mean examining in the traditional sense of written examination. Mathematics assessment has to give the various information of grade and development of students as well as teaching of teachers. To achieve this purpose of assessment, we have to search the methods of assessment. This paper is aimed to develop the open-ended problems that are the alternative to traditional test, apply them to classroom and analyze the result of assessment. 4-types open-ended problems are developed by criteria of development. It is open process problem, open result problem, problem posing problem, open decision problem. 6 grade elementary students who are picked in 2 schools participated in assessment using open-ended problems. Scoring depends on the fluency, flexibility, originality The result are as follows; The rate of fluency is 2.14, The rate of flexibility is 1.30, and The rate of originality is 0.11 Furthermore, the rate of originality is very low. Problem posing problem is the highest in the flexibility and open result problem is the highest in the flexibility. Between general mathematical problem solving ability and fluency, flexibility have the positive correlation. And Pearson correlational coefficient of between general mathematical problem solving ability and fluency is 0.437 and that of between general mathematical problem solving ability and flexibility is 0.573. So I conclude that open ended problems are useful and effective in mathematics assessment.

• Journal of Educational Research in Mathematics
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• v.22 no.2
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• pp.277-292
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• 2012

Teacher's competence in student assessment can be developed by the successive experiences that they choose assessment methods, develop assessment instrument, administer the assessment, score and grade students' responses, analyze, interpret, use, and communicate assessment results, and reflect the whole assessment processes. In this study I educated pre-service teachers in order for them to improve their assessment competence. Mathematics pre-service teachers practiced and reflected the assessment processes. In the aspects of reflections, I analyzed their journals about the knowledge of assessment, the dual situation as a student and a teacher, and their assessment practices. These areas are proved to interact each other, contribute pre-service teachers' assessment competence and construct the elements of assessment competence. And I identified the development of pre-service teachers' assessment competence quantitatively by the teacher's assessment competence test.

• Research in Mathematical Education
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• v.1 no.1
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• pp.23-34
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• 1997

For the balanced realization of these values of mathematical culture, we need to innovate mathematics classrooms, for which we need to make use of portfolio assessment. First, portfolio assessment can be regarded as a method of synthesizing a variety of resources for systematic evaluation. Second, portfolio assessment can be used as a tool of building up learners' positive attitude toward mathematics, by which we can identify the latent possibility of learners' development and help them develop confidence in mathematics. Third, portfolio assessment can play an important role as a tool for exploring the method of teaching and learning in which learners recognize the value of mathematics and are interested in mathematical activities, as we have seen in the report on the Gulliver's Travels Project.

• Journal of the Korean School Mathematics Society
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• v.16 no.4
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• pp.675-694
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• 2013

The purposes of this study were to investigate teachers' perceptions on process-focused mathematics assessment using manipulatives and technological devices and to propose the direction of the process-focused mathematics assessment. This study was conducted by the survey method with a total of 332 elementary and secondary school mathematics teachers working in Seoul or Gyeonggi areas who had experienced in using manipulatives and technological devices. According to the results, the use of manipulatives and technological devices in the process-focused mathematics assessment will facilitate the use of various alternative assessment methods such as research-report, project, and discussion for the process-focused mathematics assessment. Those alternative assessment methods enable teachers to diagnose students' learning in more accurate and holistic views and contribute to improving teachers' teaching practices focused on the mathematical process.

• The Mathematical Education
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• v.42 no.2
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• pp.159-176
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• 2003

From the mid-1990s in Korea, performance assessment has been continuously emphasized in school mathematics and thus many researchers and teachers have been steadily studying this topic. But the concepts relevant to performance assessment and its purposes are very confusing because the mathematics educators' different views and voices are vary. As a result most mathematics teachers experience trouble in executing performance assessment properly and effectively in their math class. This unability for proper execution of performance assessment was once again revealed in this study which dealt with 15 articles on performance assessment. These 15 articles includes almost every article written on the topic of performance assessment that have been published in 4 domestic journals since December 1997. By examining this inability, it is required that its concepts and purposes should be organized with a common view and newly defined in the near future. Therefore, to successfully accomplish this, this paper outlines the basic problems on the understanding of performance assessment as follows: ㆍWhat is the relationship between performance assessment and alternative assessment\ulcorner ㆍWhat is the proper types(methods) of performance assessment\ulcorner ㆍIs the subject test a type of performance assessment\ulcorner ㆍWhat is the difference between subject test and essay test\ulcorner ㆍWhat is the relationship between performance assessment and performance tasks\ulcorner ㆍWhat is the relationship between performance tests and project method\ulcorner ㆍWhat is a project method\ulcorner ㆍIs it assessment standard or scoring standard to score a test result\ulcorner ㆍWhat is the difference between analytic scoring method and holistic scoring method?