• Communications of Mathematical Education
• /
• v.15
• /
• pp.77-86
• /
• 2003

초등학교 영재들은 여러 사설 교육기관이나 국립기관 그리고 개인 교습을 통하여 많은 양의 선수학습을 행하고 있다. 이들 중 일부는 방법과 이유를 아는 관계 이해를 하기보다는, 주어진 규칙을 적용하여 정답을 찾아내는 도구적 이해를 하고 있다. 그들은 수학을 능동적이기보다는 수동적인 입장에서 받아들이기에 새로운 수학적 지식을 창출하지 못하는 성향을 강하게 보이고 있다. 이에 본 연구자는 이러한 문제의 해결을 위해 초등학교 영재들이 가지고 있는 수학적 스키마와 선생님들이 가르치는 스키마 사이의 간격에 초점을 맞추어 연구하였다. 대전에 있는 영재교육기관에 등록된 초등학교 3학년 영재들을 대상으로 하여 연구한 결과, 스키마와 스키마 사이의 간격이 멀수록 학생들이 방법과 이유를 아는 관계적 이해를 하기보다는 주어진 규칙을 적용하여 정답을 찾아내는 도구적 이해를 하고, 그 간격을 줄일수록 수학에 흥미를 느끼고 고학년의 수학내용까지도 스스로 파악하고 이해하려는 성향이 나타난다는 사실을 발견하게 되었다. 그 간격이 적을수록 학생들은 교사로부터 학습받은 내용을 자신의 지식으로 재구성하여 새로운 문제에 적용을 쉽게 하였다. 본 발표에서는, 학생들의 수학적 스키마와 선생님들이 가르치는 스키마 사이의 간격을 줄이는 것이 학생들이 수학을 관계적 이해를 하는데 큰 도움을 줄 수 잇음을 보이려고 한다.

• Journal of the Korean School Mathematics Society
• /
• v.6 no.1
• /
• pp.135-161
• /
• 2003

This research is how students and teacher apprehend mathematics education, pointing out problem areas as a basis on how to improve students understanding of mathematics through improved guidance by teachers in the future. 1107 high school students and 105 teachers from around Daejeon and Choongnam province were surveyed and the results were as follows. 1. 77 %( 852) of students viewed the "application of problem solving methods" as understanding mathematic problems. 2. Replies to the question on understanding the study of mathematics resulted in 85.7% of teachers saying "it is the understanding of the basic concept to which you solve the problems" 3. For questions relating to the large difference in-class mathematics achievements and mock University entrance exam achievements, students' response that "for in-class tests you only have to learn problems with similar form but the mock tests are not like that" pointed out the problem in the area of mathematics education. 4. For future mathematic education teachers will have to "explain better and more completely the basic principles and concepts before solving problems" , and make an effort to stimulate students by "creating a more fun atmosphere" . There will also be the need to prevent as much as possible, the use of "formula or memory driven problems" and encourage students to initiate problem solving for themselves.; and encourage students to initiate problem solving for themselves.

• Proceedings of the Korean Society of Computer Information Conference
• /
• 2017.07a
• /
• pp.384-385
• /
• 2017

과학 모델은 복잡한 자연현상을 단순화하고 패턴화한 것이다. 따라서 과학 모델은 특정한 알고리즘을 가지며, 과학 모델에 대한 이해는 모델이 갖는 특정한 알고리즘에 대한 이해와 직접적으로 관련되어있다. 본 연구에서는 많은 학생들이 대안 개념을 가지고 있는 산-염기를 주제로 하여, 이 모델이 가지는 알고리즘을 학습하기 위한 프로그램을 설계하고, 알고리즘을 학습 하였을 때 과학 학습에 미치는 효과를 확인하였다. 고등학생 3학년을 대상으로 4차시로 수업을 진행하였으며, 수업의 사전과 사후 검사를 실시하여, 학생들의 모델에 대한 이해를 분석하였다. 수업 결과, 학생들은 모델의 정의와 화학반응 및 화학평형의 정성적인 부분에서는 이해의 향상을 보였으나, 정량적인 부분에는 효과를 보이지 못하였다. 이는 화학이 많은 수의 입자를 고려해야 하는 독특한 과목의 특성에 기인하며, 이를 보완하기 위하여 추후 컴퓨터프로그램을 교육 도구로 사용하는 수업을 통해 후속연구를 진행하고자 한다.

• Communications of Mathematical Education
• /
• v.16
• /
• pp.93-108
• /
• 2003

본 논문은 테크날러지가 주 도구인 기하수업시간에 학생들이 수학적 개념을 이해하는데 테크날러지가 어떠한 역할을 하는지 조사하였다. 본 연구를 위한 수업은 이미 진행되오던 형태의 수업이 아니라 교사도 학생들에게도 모두 새로운 형태의 수업이었고 GSP와 웹사이트를 이용하여 수업이 진행되었다. 자료 수집은 개인 면담, 교실 관찰, 과제 분석 및 일지작성을 통해서 이루어졌고 분석 지속적 비교분석법을 이용하였다. 학생들은 GSP를 이용하여 개념을 이해하려고 하기보다는 자신이 이해한 개념을 확인하는데 GSP를 이용하였고 일단 이렇게 이해되고 확인된 것에 대해 확장하는데 GSP에 많이 의존하였다. 특히, 학생들의 정의적 및 기능적 측면을 고려해야 할 필요성을 일깨워 주었다.

• Communications of Mathematical Education
• /
• v.27 no.4
• /
• pp.499-521
• /
• 2013

This paper analyzed the relationship between middle school students' belief about understanding with regard to mathematical concepts, procedures, and applications of the procedures. In order to gain our purpose, the academic achievement results of midterm examination of 139 middle school students and the surveys about their beliefs about understanding, mathematical concepts, and mathematical procedures were collected. And the cross analysis and the frequency analysis of SPSS were conducted. The research results showed that students' belief about understanding are irrelevant to their academic achievements. And the percentage of the students who believe that they understand was almost the same with the percentage of the students who understand the procedures. But there were differences between the percentage of the students who believe that they understand and the percentage of the students who understand the concepts. Through these, it is conformed. Students' belief about understanding does not mean they understand mathematical concepts. They just can solve mathematical problems through mechanical procedures.

• Journal of Educational Research in Mathematics
• /
• v.22 no.2
• /
• pp.117-136
• /
• 2012

The goal of this study is to investigate a didactic transposition method of text books and high school students' understanding for the Normal Distribution. To accomplish this goal, framework descriptors were developed to analyse the didactic transposition method and interpret the students' understanding based on the Historico-Genetic process of the Normal Distribution, the meaning of the Normal Distribution as a scholarly knowledge and the results of previous studies on students' understanding for the Normal Distribution. This study presented several recommendations for instruction of the Normal Distribution according to the results of analysing the didactic transposition method and interpreting the students' understanding in terms of the developed framework.

• Journal of The Korean Association For Science Education
• /
• v.30 no.1
• /
• pp.157-169
• /
• 2010

Scientific observation has been recognized as one of the fundamental aspects in scientific inquiry. However, more detailed discussions and practical guides for teachers' and students' understanding about the nature of scientific observation have not been conducted. Therefore, based on literature reviews, we described the nature of theory-laden scientific observation as 11 detailed statements. Using theses statements, we investigated science teachers' and students' recognition of each statement. According to results, certain aspects of theory-laden scientific observation were determined as important aspects to be considered for science teachers' in-service programs or for students' learning activities in understanding the nature of science.

• Journal of The Korean Association For Science Education
• /
• v.26 no.6
• /
• pp.753-764
• /
• 2006

The concept of blood circulation is so complex, dynamic and abstract that students have difficulty in understanding it and students' preconceptions hardly change into scientific concepts even after the lessons. The purpose of this study is to examine middle school, high school, and undergraduate students' understanding of blood circulation and to find the reason why the lack of deep understanding is displayed in students' explanations for the blood circulation. The study consists of three parts. First, the test was designed to investigate students' ideas for blood circulation as components of the structure, the function, the behavior and the mechanism. Second, the test was applied to 7th, 10th and 13th graders to investigate the students' understanding of blood circulation and categorize the types of students' blood circulation model according to their academic level. Finally, the concepts the students had little understanding of were analyzed to decide which ontological category they fell into and further to inquire the characteristics of each concept. The results showed that many students comprehend the structure and the function of blood circulation components well, and there was no significant difference in students' understanding according to the academic level. In contrast, understanding the behavior and the mechanism of circulatory components has remarkably improved in high school students and undergraduates majoring in science and engineering. Also, students' blood circulation models were classified into seven different types. High school students and undergraduates majoring in science and engineering demonstrated a significantly higher percentage on the type of double-loop-branch compared to other academic levels. In addition, it was found that the lack of deep understanding was caused by students' misconceiving the 'equilibrium' category as 'event' category.

• Journal of Gifted/Talented Education
• /
• v.25 no.4
• /
• pp.649-667
• /
• 2015

This study handled underachievement issue of gifted students by developing and validating educational programs as a solution, or relief, of their academic underachievement problems. The proposed educational program was designed to enhancing reading comprehension ability of gifted students with underachievement. Based on comprehensive literature review, this study found that key issues of underachievement have to do with learning strategy, and also that learning strategy was established as 'reading comprehension strategy.' Considering diverse reading comprehension models and strategies suggested by preceding studies, the reading comprehension strategy program in Korean was customized for underachieving gifted students on the middle school level. The effectiveness of the reading comprehension strategy program as a solution to underachievement of gifted students was explored by applying the developed program to 36 identified students after school twice a week for 6 weeks, conducting pre- and post-tests that were selected to measure their reading comprehension abilities, collecting their academic achievement data before and after the intervention by this study, and interviewing students. As the results of this study, reading metacognition ability, reading comprehension skills, and school grades of gifted students with underachievement were meaningfully improved as a group. On the individual level, 12 identified students, exactly one third of the whole group of underachieving gifted students, showed so improved academic achievement as we can say they overcame underachievement based on the Supplee's definition.

• Journal of Elementary Mathematics Education in Korea
• /
• v.23 no.1
• /
• pp.169-192
• /
• 2019

This study investigates how well grade 4, 5, and 6 students understand graphs before formal education is done on graphs. For this, we analyzed students' understanding of graphs by classifying them into 'reading data', 'finding relationships between data', 'interpreting data', and 'understanding situations' based on previous studies. The results show that the students have good understanding of graphs that did not have formal education. This suggests that it is necessary to consider the timing of the introduction of the graph. In addition, when we look at the percentage of correctness of each graph, it is found that the understanding of the line graph is weaker than the other graphs. The common error in most graphs was that students relied on their own subjective thoughts and experiences rather than based on the data presented.