• Journal of Educational Research in Mathematics
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• v.21 no.4
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• pp.345-359
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• 2011

In this research, we designed an educational activities of exploring mathematics programs in a course of mathematics education in teacher's college. We divided future mathematics teachers into 8 groups and suggested 8 mathematics programs to them. Each group explored one mathematics program. We asked to future mathematics teachers exploring some cases that use effectively a mathematics program in the teaching of school mathematics. In the process of an exploring, we designed some activities of teaching and learning. We provided opportunities of long-term exploration, group learning, presentations, exercises, reflections to mathematics teachers. As a result, future mathematics teachers acquired basic knowledge on the usage of mathematics programs in school mathematics textbook. In addition, their capabilities that are needed to explore mathematics programs have been enhanced. Also they had learned the teacher's positive attitude through the activities of teaching and learning.

• Education of Primary School Mathematics
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• v.16 no.2
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• pp.163-182
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• 2013

The purpose of this study is an analysis on the 3rd graders' achievement in the elementary school. For this purpose, this study, first, analysed on the 3rd graders' achievement like the ratios of the achievement levels for whole students, sexual students, and regional students. Second, this study analysed the 3rd graders' assessment results like the total averages, averages for the contents area, sexual students, and regional students. Third, this study analysed students' special responses on the items.

• Journal of Educational Research in Mathematics
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• v.8 no.1
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• pp.163-182
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• 1998

Performance assessment is one of the authentic assessment method that are consistent with new curriculum goal, concentrated on the process rather than the results of problem solving. But the key to good assessment is matching the assessment task to intended objectives. Based on the review of literatures, the current performance assessment task was critically analysed. As a result, this study developed appropriate model and criteria of performance assessment task to elementary mathematics.

• Journal of the Korean School Mathematics Society
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• v.7 no.2
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• pp.1-20
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• 2004

The purpose of this study is to suggest the new way about performance assessment through analyzing about what changes are occurred on mathematical attitude and interest by performance assessment as comparing and analyzing the effect on learners' mathematical preferences and learning attitudes through the application of teaching and evaluating model utilizing portfolio products using mathematical history which is one of the various ways of performance assessment. That can satisfy the feature of performance assessment that realizes instruction and assessment simultaneously on the first grade at high school. Also, it can reduce the teachers' works, search the potential ability of students, realize level type curriculum, and draw out the learners' interests because it is a self-leading instruction that consists of student-centered learning. For the purpose of this study, the role of mathematical history and its advantage and the way of utilizing it in mathematical history by referring to sundry records were studied. Evaluation, the way of performance assessment and scoring were also considered to design portfolio teaching and evaluating model using mathematical history. To solve the another tasks for this study, mathematical preference factors and mathematical learning attitude factors are used. Mathematical preference factors divide into confidence, flexibility, will, curiosity, reflection, and value and then make 4 questions each factor. And mathematical learning attitude factors divide into self-esteem, attitude, and learning habit and then make 10 questions each factor. These factors need to be reorganized the materials which are made by Korean Education Development Institute(1992) to be agreed with the purpose of this study.

• 한국데이터정보과학회:학술대회논문집
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• 2005.10a
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• pp.49-57
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• 2005

지금의 교실 수업은 토론학습에 익숙한 학생들로 수업에 흥미를 가지는 수업에 관심을 많이 갖고 있으며 수준별 수업을 통한 심화.보충형과 특별 보충과정으로 학생 지도를 하고 있다. 교실마다 수학 학습을 기피하는 현상이 두드려지고 있으며 개인별 수준 차가 더욱 심한 상태라서 학생들에게 동기를 유발하여 수학에 대한 학습 의욕을 고취하고 교실 밖의 학습자를 교실내로 흡수하기 위한 방법론으로 모둠별 돌림수학, 수준별 모둠 구성을 통해 박수를 치기, 구구단을 이용한 학습과 수학 모둠 노래를 통하여 학습동기를 유발하는 학습 모형을 소개한다. 그리고 수행평가나 포트폴리오, 수학 감상문을 통해 동기 유발이 가능한 실제 학습을 개발하여 공교육의 내실화와 창의력을 유발하는 자아실현의 일환으로 신선한 교실 수업의 보탬이 되었으면 한다.

• Research in Mathematical Education
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• v.1 no.2
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• pp.127-137
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• 1997

수세기는 초등 수학교육의 기초로서 보통 유치원 과정 이전부터 시작된다. 그러나, 서수와 기수의 구별된 사용의 중요성은 미국의 "학교 수학의 교과 과정과 평가 기준" (NCTM 1989)에서 뿐만 아니라 학교 교육의 현장에서도 많이 간과되고 있는 실정이다. 일반적으로 사용되는 수직선 (Number line)과 다르게 구조적으로 개발된 Hasse's structured number line을 사용하여 학생들에게 수세기의 의미와 기술을 가르친다면 구체적 경험을 통해 수학적 사고 능력을 키우고 개발하는데 도움이 된다. 만약 Hasse 의 9가지 수준에 따라 다양한 학습 활동을 개발하여 수업 계획을 세워서 학습을 진행한다면 수업은 역동적이며 매우 흥미로워 질 것이다. 학생들은 말로 나타내기(Verbalization)와 상상(Imagination)의 충분한 경험을 바탕으로 정신적 표현(Mental representation)을 개발하여 수세기 기초를 확립하고 나아가 연산을 쉽게 수행할 수 있을 것이다. 여기에 소개된 교구들과 학습 활동들은 초등 수학 교육이 암기 위주의 문답식이 아니며 얼마나 역동적이고 흥미로울 수 있나를 보여준다.

• Journal of the Korean School Mathematics Society
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• v.23 no.1
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• pp.159-177
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• 2020

Education researchers have been continuously interested in the teacher's ability to design lessons and conducted various studies in order to improve the teacher's professionalism in determining the quality of school instruction. So, this study explored the change of instructional design through the lesson reflection of pre-service mathematics teachers who participated in practicum settings. As a result, in the lesson plan prepared by pre-service mathematics teachers, the motivation to induce learning in the introduction stage, to present the learning contents in the development stage, and to reconstruct the formative evaluation of the closing stage was the highest rate. And the categories of the reconstructed contents appeared intensively in terms of curriculum contents and teaching and learning methods. This result can be attributed to the lack of experience in designing and performing lessons by pre-service mathematics teachers, so it suggests that the opportunity to design and conduct classes that take into account the practical aspects of education should be provided in the preparation process for pre-service mathematics teachers.

• The Mathematical Education
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• v.44 no.2 s.109
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• pp.281-295
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• 2005

To evaluate students properly in mathematics, it is essential to clarify and specify the object of study. Proper assessment tools are also needed coupled with an effective assessment method. The assessment tools have to be reasonable and trustworthy. Conducting the assessment should always produce fair and positive results and effectiveness. Establishing standards for the student evaluation competence of mathematics teachers should satisfy such objectives. Referring to the previous study suggested by Korea Institute' of Curriculum & Evaluation(KICE), this study classified the elements of capacity for evaluation competence into the general assessment, the assessment content understanding, and the assessment conduct & application areas. The specific elements of each area are established as standards. At last, 13 standards were suggested and summarized. to describe the math teachers' student evaluation competence.

• Journal of Educational Research in Mathematics
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• v.18 no.1
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• pp.63-80
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• 2008

In this paper, we suggested generally some samples and cases of portfolio but centered on elementary mathematics in New Zealand elementary school in the aspects of the assessment for learning activity of learner and so we have found some suggestive points by comparing New Zealand portfolio with ours. Finally, we have an objects that the teachers here in Korea can use these results as a cases which are benchmarked by them. We had known through this paper that portfolio assessment in New Zealand elementary school deals with various aspects and it was accessing in the direction of creating knowledge positively through the real life, not textbookish or artificial problem and also it had a characteristics dealing with real life situation or context without filtering. Especially, it always dealt with all regions of curriculum and looked like focusing on the connections of curriculum relatively.

• Journal of the Korean School Mathematics Society
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• v.13 no.4
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• pp.569-594
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• 2010

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 understanding of learners 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 teacher knowledge of learners' understanding. For this purpose, the meaning of learners' understanding was also investigated in-depth. Finally, the concrete elements on teaching evaluation focused on the teacher knowledge of learners' understanding in math class were new developed, based on the literature reviews on learners' understanding. Then, those evaluation elements were developed according to the five domains of learners' understanding such as evaluation domains such as students' intellectual and achievement level, students' misconception in math, students' motivation on learning, students' attitude on mathematics learning, and students' learning strategies.