• Communications of Mathematical Education
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• v.31 no.4
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• pp.409-432
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• 2017

The purpose of this study is to find out the importance of process - based evaluation and to find a way to set up and operate the formative assessment which is getting attention. As one of the ways, we investigated the effect of formative assessment through student's interactive feedback on mathematics achievement and attitude of fourth grade students in elementary school. In order to conduct the study, two groups of homogeneous grades were selected. In the experimental group, formative assessment was conducted through student's interactive feedback. In comparison group, formative assessment was conducted through self - confirmation feedback. Statistical analysis of the results after the experiment showed that the formative assessment through student's interactive feedback was found to have a positive effect on the improvement of mathematics achievement. In addition, the formative assessment through student's interactive feedback positively changed the mathematics attitude. Therefore, this suggests that applicability of formative assessment through student's interactive feedback in elementary school classroom instruction, as well as implications for follow - up study for effective implementation of formative assessment.

• Communications of Mathematical Education
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• v.21 no.2 s.30
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• pp.331-345
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• 2007

This research is aimed to inquiry retention types of middle school students about results of evaluation in school mathematics, For this purpose, we selected evaluation time, problem types, evaluation score, evaluation factors as important factors which influence to students' retention types. Then we classified students' retention types about results of evaluation in school mathematics. From this results, we selected two students as participants, and collected data through depth interviews of them. In depth interviews, we focused on 'what is the core factor influenced to students' evaluation', 'how the core factors reappear in the future'. Through this process, we analyzed middle school students' retention types about results of evaluation in school mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.3
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• pp.619-640
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• 2011

The study aims the introducing the items for the assessment of mathematical thinking including mathematical reasoning, problem solving, and communication and the analyzing on the responses of the 5th grade pupils. We categorized the area of mathematical reasoning into deductive reasoning, inductive reasoning, and analogy; problem solving into external problem solving and internal one; and communication into speaking, reading, writing, and listening. And we proposed the examples of our items for each area and the 5th grade pupils' responses. When we assess on pupil's mathematical reasoning, we need to develop very appropriate items needing the very ability of each kind of mathematical reasoning. When pupils solve items requesting communication, the impact of the form of each communication seem to be smaller than that of the mathematical situation or sturucture of the item. We suggested that we need to continue the studies on mathematical assessment and on the constitution and utilization of cognitive areas, and we also need to in-service teacher education on the development of mathematical assessments, based on this study.

• Journal of the Korean School Mathematics Society
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• v.8 no.3
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• pp.327-341
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• 2005

Mathematical creativity should be assessed base on the general creativity considering the features of mathematics. In researching of the assessment of mathematical creativity, the direction should be matched with this view. In this paper, we focus on the creative thinking as cognitive aspect and the creative attitude as dispositional aspect in mathematics. And we have reviewed the various researches and have suggested the frame of the assessment of mathematical creativity.

• Journal for History of Mathematics
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• v.18 no.2
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• pp.75-94
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• 2005

This study is intended to develop the criterion for evaluating the creative products that mathematically gifted students produce in their education program to enhance the development of creative productive ability. 1 distinguish the mathematical creativity with the creativity in the general domain, and make the production model of the creative mathematical product grounded on the mathematicians' work through the mathematical history. The model has the following components; the mathematical knowledge, the mathematical thinking and the mathematical inquiry skill, surrounding the resultive creative product. The students products are focused on one component of the model. Thus the criterion for the creative products is grounded on the each component of the model. According to it, teachers could evaluate the students'work, which got the validity and the reliability.

• Communications of Mathematical Education
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• v.13 no.2
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• pp.641-653
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• 2002

수학 교육평가에서 고사 타당도의 측정은 매우 중요하다. 그것은 평가자가 목적하는 바의 준거에 따라 수험자들의 문제해결력 변별을 위한 고사들 간의 타당도 크기 측정과 또는 고사 문항의 선정, 배치를 통하여 한 고사의 타당도를 높이기 위한 문항별 타당도 계수를 측정 계산하는 것이다. 이 연구에서는 이 두 가지 고사 타당도의 크기 측정법을 이용하여 수학교육 평가 현장에서 직접적으로 적용할 수 있는 고사 타당도의 제고에 유효한 연구 결과를 제시한다.

• Communications of Mathematical Education
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• v.24 no.2
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• pp.301-323
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• 2010

This study was to find the direction to assessment of school mathematics in accordance with 2009 reformed curriculum. As new trends in the latest reformed 2009 curriculum, creativity, multicultural education, and mathematics disposition were focused. In creativity, more items should be developed for enhancing students' ability in areas of fluency, elaborateness, and originality, besides flexibility which was mostly dealt in the formal assessments that have been done previously in school. In multicultural education. purposeful bilingual programs should be developed in mathematics education to improve not only students' language skill, but also mathematical ability. In mathematical disposition, various questionnaires including checklists along with clinical interview should be provided to evaluate students' on-going process of mathematical learning.

• The Mathematical Education
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• v.63 no.2
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• pp.369-385
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• 2024

With the advancement of digital technology, a variety of digital materials are being utilized in education. For their appropriate use of digital resources, teachers need to be able to evaluate the quality of digital resource and determine the suitability for teaching. This study explored how preservice teachers evaluate TocToc-Math, an Artificial Intelligence (AI)-based math support system. Based on an evaluation framework developed through prior research, preservice teachers evaluated TocToc-Math with evidence-based criteria, including content quality, pedagogy, technology use, and mathematics curriculum alignment. The findings shows that preservice teachers positively evaluated TocToc-Math overall. The evaluation tendencies of preservice teachers were classified into three groups, and the specific characteristics of each factor differed depending on the group. Based on the research results, we suggest implications for improving preservice teachers' evaluation abilities regarding the use of digital technology and AI in mathematics education.

• Journal of the Korean School Mathematics Society
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• v.15 no.2
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• pp.281-297
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• 2012

Mathematics evaluation is aimed at measuring students' mathematical ability to think and achievement. Moreover, the quality of mathematics education at school is elevated by the test questions analysis and application process. And the starting point of evaluation is to make good test questions. This study is composed of four parts. First, theoretical background associated with making test questions is surveyed. Second, example questions according to the education goals and question-making cautions are presented. Third, four practical stages of making test questions which consist of designing, making the first draft of questions, verifying and making the final draft of questions, are illustrated.

• Journal of Elementary Mathematics Education in Korea
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• v.3 no.1
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• pp.61-74
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• 1999

In this paper, we try to find through questionnaires from the teachers of Cheju elementary schools what the situation at schools in performance assesment is like at this present time, what methods of performance assesment they prefer to use, and what methods they want to be developed. After that, we are going to find the methods which can be used for each grade in elementary school.