• 영재교육연구
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• 제8권2호
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• pp.69-89
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• 1998

The purpose of this study is to develop a test which can be used in identification of the gifted students in the area of mathematics. This study was carried out for two years from 1996. Mathematical giftedness is, in this study, regarded as a result of interaction of mathematical thinking ability, mathematical creativity, mathematical task committment, background knowledge. This study presumed that mathematical thinking ability is composed of seven thinking abilities: intuitive insights, ability for information organization, ability for visualization, ability for mathematical abstraction, inferential thinking ability(both inductive and deductive thinking abilities), generalization and application ability, and reflective thinking. This study also presupposed that mathematical creativity is composed of 3 characteristics: fluency, flexibility, originality. The test for mathematical creative problem solving ability was developed for primary, middle, and high school students. The test is composed of two parts: the first part is concentrated more on divergent thinking, while the second part is more on convergent thinking. The major targets of the test were the students whose achievement level in mathematics belong to top 15~20% in each school. The goodness of the test was examined in the aspects of reliability, validity, difficulty, and discrimination power. Cronbach $\alpha$ was in the range of .60~.75, suggesting that the test is fairly reliable. The validity of the test was examined through the correlation among the test results for mathematical creative problem solving ability, I. Q., and academic achievement scores in mathematics and through the correlation between the scores in the first part and the scores in the second part of the test for mathematical creative problem solving ability. The test was found to be very difficult for the subjects. However, the discrimination power of the test was at the acceptable level.

• 대한수학교육학회지:수학교육학연구
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• 제27권2호
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• pp.191-205
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• 2017

본 연구는 서울의 C중학교 1학년 학생들이 기하 증명 문제를 해결하는 과정에서 보여주는 증명스키마 유형과 그 특징을 조사한 것이다. 자료 분석은 Harel, & Sowder의 증명스키마 유형에 기초하여 이루어졌다. 연구 결과, 학업성취수준에 따라 학생들이 사용하는 증명스키마 유형에 차이가 있었다. 상위권에서 하위권으로 갈수록 변형적 증명스키마를 사용하는 학생의 비율이 감소하였고 귀납적(측정) 증명스키마를 사용하는 학생의 비율은 증가하였다. 또한 증명과정에서 비형식적인 부호 사용하기, 문제에서 주어진 그림 특정 비율로 인식하기 등 각 증명스키마 유형마다 고유한 특징이 나타났다. 이를 바탕으로 4개의 의미 있는 결론을 추출하였고, 이것이 증명 교수 학습에 주는 시사점을 논의하였다.

• 한국수학교육학회지시리즈A:수학교육
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• 제41권1호
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• pp.127-137
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• 2002

Discrete Mathematics is newly introduced into the 7th Elementary and Secondary School Mathematics Curriculum of Republic of Korea. Every high school can choose Discrete Mathematics as an optional course from year 2002, but mostly from year 2003. According to its characteristics and objectives in the curriculum, we should know how to implement Discrete mathematics. But it is hard to predict whether Discrete Mathematics will be successful or not, since many studies have shown the lack of readiness for the course. In this study, we analyze the Discrete Mathematics text book developed recently in 2002. Then we see how Discrete Mathematics can be implemented. First, we suggest how the contents in the Discrete Mathematics text book are related to the mathematical values. This will clarify instruction and learning methods in Discrete Mathematics classrooms. Secondly, rich and various discrete contents should be taught. Students should appreciate the realistic merits of discrete mathematics. Thirdly, evaluation methods and their examples will be presented based upon the contents of she text. The evaluation that distinguishes individual achievement levels is closely related with implementation of Discrete mathematics in schools. Finally, we point out the weakness of Discrete Mathematics contents in the 7th curriculum to prepare ourselves for the 8th curriculum.

• 한국수학교육학회지시리즈A:수학교육
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• 제50권1호
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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.

• 한국수학교육학회지시리즈A:수학교육
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• 제45권2호
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• pp.205-215
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• 2006

One of the most important concepts in the 7th curriculum of Korea is the student-centered education. Since educational evaluation has significant influence on the whole curriculum, if we realize the importance of the student-center education on the curriculum we should establish the student-centered educational evaluation system. Educational evaluation is defined by the theory of information to permit information users to identify, to measure, to manipulate and to communicate useful educational information concerning an educational curriculum for making decisions. If we accept the above definitions, the demands of information users are significant in the light of conceptual framework of educational evaluation. The purpose of this study is to analyze the conceptual framework of educational evaluation from information users' perspectives and to investigate the qualitative characteristics which satisfy information users' need for making decisions. We also show that students aren't provided sufficient evaluation results information to decide for their study plans by analyzing an evaluation study of the 7th primary curriculum. Finally, this study suggests how to improve an evaluation system for students in mathematics.

• 대한수학교육학회지:수학교육학연구
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• 제21권4호
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• pp.313-326
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• 2011

본 연구에서는 PISA수학성취도 자료와 국내외 성차 관련 연구 자료를 분석하여 우리나라 학생들의 성차 추이와 그에 대한 배경을 살펴보았다. 우리나라는 2000년과 2003년 PISA수학성취도 평가에서 유의미하게 큰 성차를 보인 반면 2006년부터 성차가 급격히 감소하였다. 이러한 성차의 급격한 감소 현상에 영향을 미친 요인을 탐색하기 위해 국내외 성차 관련 연구 자료를 분석하였으며, 이를 토대로 여성의 이공계 진출을 유도하는 국가차원의 정책적 지원과 같은 사회문화적 변화와 교육과정과 그에 따른 교과서의 변화 등과 같은 요인들이 여학생의 수학 성취도 향상에 긍정적인 영향을 미쳤을 것으로 판단된다.

• 한국수학교육학회지시리즈A:수학교육
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• 제61권4호
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• pp.597-612
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• 2022

최근 국내외 대규모 평가를 중심으로, 수학 평가가 전통적인 지필 평가에서 컴퓨터 기반 평가로 전환되고 있다. 본 연구는 평가 문항의 유형, 문항에 반영된 기술공학적 기능, 학생의 컴퓨터 사용 특성 및 컴퓨터 평가 환경에 따라 평가 매체 전환에 따른 학생의 성취도 차이가 어떻게 변화하는지 탐색하였다. 이를 위해 지필 환경과 컴퓨터 환경에서 실행된 2020 고등학교 수학의 국가수준 학업성취도 평가 결과를 분석하였다. 연구결과, 첫째, 단순 매체만 전환된 경우 모드 효과는 대체로 미미하였지만, 서술형 문항의 경우 단답형이나 선택형 문항에 비해 모드 효과가 더 크게 나타났다. 둘째, 매체 전환과 기술공학적 기능의 반영이 함께 이루어진 경우, 문항에 반영된 기술공학적 기능에 따라 모드 효과에 차이가 있었다. 셋째, 컴퓨터 기반 평가 시행환경, 학생의 컴퓨터 활용 빈도와는 달리, 학생의 컴퓨터 활용 효능감에 따라 컴퓨터 기반 평가에서 통계적으로 유의한 점수 차이가 나타났다. 이와 같은 연구 결과는 향후 평가 내용과 역량에 맞춘 적절한 기술공학적 기능의 도입이 필요하며, 학생의 수학 학습 능력 외의 부수적인 능력이나 상황이 평가 결과에 영향을 미치지 않도록 세밀한 평가 설계와 환경 구비가 필요함을 시사한다.

• 한국학교수학회논문집
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• 제21권3호
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• pp.207-225
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• 2018

지난 10년간 이루어진 국제비교연구들에 따르면 우리나라 학생들은 높은 수학 학업 성취도에 비해 정의적 요인과 교사특성에 대한 지각에서 부정적인 결과를 보이고 있다. 이런 일반적인 결과에 더해, 본 연구는 TIMSS 2015 결과를 바탕으로 우리나라 학생들의 정의적 특성 및 교사 특성에 대한 지각에 대해 추가적인 정보를 제공하고자 한다. 본 연구에서는 잠재 프로파일 분석을 사용하여 학생들의 정의적 요인 및 교사특성에 대한 지각과 관련하여 질적으로 다른 다섯 그룹들을 발견하였다. 그 중에서 정의적 요인들에 비해 교사특성에 대한 지각에서 상대적으로 더 부정적인 결과를 보이는 두 그룹에 좀 더 주목할 필요가 있다. 각 그룹의 서로 다른 특징은 그룹에 속하는 학생들의 정의적 측면 및 교사특성에 대한 지각을 향상시키기 위해 서로 다른 접근 방법을 취할 필요가 있음을 시사한다. 이를 위해 학업 성취도뿐만 아니라, 정의적 특성 및 교사특성에 대한 지각에 영향을 미치는 요소들과 관련된 후속 연구가 필요함을 제안한다.

• 한국수학교육학회지시리즈A:수학교육
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• 제53권3호
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• pp.357-381
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• 2014

This study analyzed the cases of three teacher communities participating in an innovative professional development program and clarified the characteristics and the process of lessons for mathematics-oriented convergence that were developed and applied during the program. Each of the teacher communities designed and implemented lessons according to the context of each community and the concept of lessons for mathematics-oriented convergence were developed and refined. The lessons developed by the three teacher communities were characterized as convergence problem posing lessons using technology, convergence of various subject content focused on mathematical concepts through team teaching, and convergence lessons according to students' achievement levels. The program contributed to teacher community activities by proving sustainable professional development in the area of convergence education, a connection between the content of their professional development and the context of the field, and opportunities for active participation in the process of developing and implementing the convergence lessons.

• Educational Technology International
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• 제17권2호
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• pp.229-251
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• 2016

This study was designed to investigate the relationship between middle school students' smart media competency and online learning outcomes. The context of this study was on online inquiry-based mathematics and science learning environment, and four-hundred and fifty-five (455) 7^th to 9^th grade students in Korea participated in this research. To assess students' smart device competency, Smart Media Literacy Quotient (SMLQ) which consisted of 18 items regarding the operation ability of smart media and its application (14 items) and positive beliefs of smart media (4 items) was administered to each student. The findings of this study first showed that students' smart media literacy varied according to their characteristics such as gender, grade, class (subject), and socio-economic status. Female students' scores were higher in overall smart media literacy operation and learning ability of smart media than male students. 7^th grade middle school students represented lower smart media literacy scores, compared to 8^th and 9^th graders. Also, minority students were significantly lower in smart media literacy, operation and learning ability of smart media, and positive belief of smart media than the non-minority students. Second, overall smart media literacy and operation and learning ability of smart media varied among high, medium, and low score achievers in inquiry tasks. Low scored students in inquiry tasks were significantly lower in overall smart media literacy and operation and learning ability of smart media than medium scored students. Lastly, smart media literacy also varied by students' dropout/completion. Students who dropped out reported significantly lower scores in overall smart media literacy, operation and learning ability of smart media, and positive belief of smart media.