• Journal of Educational Research in Mathematics
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• v.22 no.3
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• pp.401-427
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• 2012

The recent Korean mathematics curriculum stresses to teach mathematics focusing on mathematical process composed of problem solving, reasoning and communication. To be successful in applying the rationale of the process-focused mathematics education, the assessment practice in classrooms should be also centered on mathematical process. In this study we conducted a large-scale survey on teachers' perspectives about the process-focused mathematics assessment. First, we surveyed teachers' opinion on current assessment practices in school mathematics related to regular school exams and performance assessments. Second, we investigated teachers' perception on mathematical process components such as problem solving, reasoning, and communication regarding how they should be assessed. Finally, we examined the difference of teachers' opinion according to their teaching experience, city size, and the type of school. Based on the results, we discussed implications for mathematics assessment and process-focused mathematical assessment.

• 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.

• Journal of the Korean School Mathematics Society
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• v.22 no.3
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• pp.199-219
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• 2019

It is necessary to study how to plan and perform the process-focused assessment of the teacher as the planner and practitioner to examine the application of the process-focused assessment for mathematical subject competency in a mathematics classroom. In this study, we designed and conducted an experimental lesson based on the process-focused assessment for elementary school students. This study explored the practical application of the process-focused assessment. In addition, we explored how to apply it to elementary mathematics education. This study suggests a method to embody the process-focused assessment class that can be applied in the 2nd grade mathematics class in elementary school. We propose future research on how to provide individual feedback to each student's needs in the process-focused assessment.

• 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.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.

• Communications of Mathematical Education
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• v.27 no.4
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• pp.581-609
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• 2013

Students' learning processes and mathematical levels should be correctly diagnosed in many different methods of assessment to help students learn mathematics. The study developed the model for the process-based assessment while using manipulatives in the middle school in order to improve problem solving, reasoning and communication which are emphasized in 2009 reformed curriculum as the areas of mathematical process. Identifying the principles of assessment, we created the assessment model for each area and carried out a preliminary study. Based on this, we revised the representative items and the observation checklist and then conducted a main study. Through the results of assessment, we found that students' thinking processes were well presented in scoring rubric for their responses on each item. It meant that the purpose of the assessment as a criterion-referenced test was achieved.

• Journal of the Korean School Mathematics Society
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• v.22 no.4
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• pp.369-393
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• 2019

The purpose of this study is to find the commonality between process-focused assessment and existing performance evaluation and to find out whether the process-focused assessment is effective for the development of the character of school mathematics. By analyzing the previous research, this study defined the meaning of process-focused assessment as an evaluation that can improve students' growth and quality of class through immediate feedback by introducing various performance tasks and evaluation methods. The character of school mathematics refers to personality factors that are easily expressed and cultivated during math classes. Therefore, this study presented examples of the feasibility of process-focused assessment focusing on geometry and vector subjects and examined the effectiveness of mathematics and character development through process-based evaluation. Four course-based assessments (math experiments, logic, proof, and communication) aimed at cultivating the character of school mathematics were conducted from March to June 2019 for the third year of high school. The index was measured. Analysis of the results using the corresponding variable t-test showed that the process-based evaluation in this study had a significant effect on the character of school mathematics development.

• Communications of Mathematical Education
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• v.19 no.1 s.21
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• pp.15-24
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• 2005

오늘날 제 7차 교육과정은 학습자의 사고과정과 능력을 다양한 평가방식으로 실시하도록 권유하고 있다. 이러한 목적을 구현하기 위하여 수학과 평가는 교수-학습에 유용한 평가, 과정 중심의 평가, 다양한 방법을 활용하는 평가가 되어야 할 것이다. 이는 학습자로 하여금 스스로 학습하도록 가정하는 인식론적 변화에 바탕을 둔 최근의 평가 동향과 맥을 같이 하고 있다. 평가에서 학생의 수학활동 역시 특히 인지적 영역의 다양성을 지닌 개인에 의하여 이루어지기 때문에 수학 평가는 단편적인 정형화된 지식이 아닌 문제 해결의 전략이나 발견술과 같은 요소에서 강조되고 있는 비정형의 문제들을 통한 메타인지적인 발달과정을 고려해야 한다. 본 연구에서는 학생이 준개방형 평가문제를 해결하는 과정을 통해 자신이 얼마나 알고 있는가를 인식하며 자신의 문제 해결 전략을 점검하고 평가하는 인지적 능력에서 일어나는 변화를 알아보는 데 그 목적이 있다. 지금 현재 연구가 진행 중이며 본 연구의 결과는 다음 논문집에 발표할 예정이다.

• The Mathematical Education
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• v.61 no.2
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• pp.239-256
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• 2022

This study was to investigate the perception, performance, and difficulties of process-based assessment for high school mathematics teachers. As a qualitative case study, two in-depth group interviews were conducted with 6 high school mathematics teachers working in Incheon area. The two groups were one with more experience in process-based assessment and the other with less experience. As results, there were differences between the participant teachers' perception of process-based assessment and their actual performance depending on the experience. All six math teachers thought that the process-based assessment was intended to confirm the learner's characteristics, to evaluate the process, and to provide feedback on a regular basis immediately and individually. However, in the practical performance shared by teachers, the purpose of assessment was to create a school record. A group with a lot of experience prepared assessment criteria according to the national curriculum achievement standards, established affective assessment plans, and tried to provide individual feedback on a regular basis. On the other hand, the inexperienced group recorded the affective characteristics discovered by chance and provided temporary and large-scale feedback regardless of the achievement criteria. Finally, we suggested some implications based on the study results.

• School Mathematics
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• v.12 no.4
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• pp.667-686
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• 2010

The mathematics curriculum revision is currently underway based on the general curriculum revised in 2009. Two of the controversial issues in mathematics curriculum revision are 'grade band' and 'mathematical process'. To consider the introduction of those two aspects in mathematics curriculum, this study compares and analyzes international mathematics curricula focusing on grade band and mathematical process. As a result, grade band is judged to be not necessary, but mathematical process has a potential to provide practical implication for betterment of mathematics textbook and lesson.