• 한국학교수학회논문집
• /
• 제23권3호
• /
• pp.323-349
• /
• 2020

본 연구에서는 중학교 3학년 학생들의 공변 추론에 대해 알아보기 위해 학생마다 또래교수자와 또래학습자의 역할을 모두 경험할 수 있는 상호또래교수과정을 통한 교수 학습을 진행하였다. 학생들은 또래교수자로서 자신의 공변 추론을 가르치는 경험을 하고, 또래학습자로서 다른 학생의 공변 추론을 학습하는 기회를 제공받는다. 상호또래교수과정을 통한 교수 학습과정에서 비계가 제공될 수 있도록 이질집단으로 모둠을 형성하였다. 양적 그래프 유형 4문항, 질적 그래프 유형 4문항을 모둠에 제시하고 총 8차시에 걸친 상호또래교수를 진행하여 나타난 반응을 분석한 결과는 다음과 같다. 상호또래교수과정에서 학생들은 자신보다 높은 수준의 공변 추론 경험의 기회를 제공 받아 공변 추론 수준의 상승이 일어났다. 상호또래교수과정에서 학생들은 자신의 공변 추론을 수정하거나 보완하여 추론의 완성도를 높였다. 문제해결 결과의 피드백을 위해 최소한의 교사의 개입이나 수준 높은 또래의 중재가 필요함을 알 수 있었다.

• 한국수학교육학회지시리즈A:수학교육
• /
• 제46권1호
• /
• pp.33-52
• /
• 2007

This study is based on the grade 3 National Diagnostic Assessment of Basic Competency(NDABC) in 2005. The purpose of this study is to analyze the results of NDABC by students' gender. It was 19,257 grade 3 students that participated in this study. The average scores are 89.41 and 88.34 for each male and female. The percentage of Below-Basic level for male students is 4.6% and for female 5.6%. The percentage of female students at Below-Basic level is increasing for 3 years. In particular, the percentage of females at Below-Basic level is higher than that of males in the content of measurement, the cognitive domain of reasoning and problem solving, and the situation of real life. The item difficulty for males is lower in fraction, polygon, and right triangle than for females. But female students need to improve the space sense and the problem solving ability in real life. As for the background of students, males think that mathematics is exciting and not difficult in comparison with what females think. And parents of mates are more concerned about children's learning than those of females.

• 한국가스학회지
• /
• 제8권2호
• /
• pp.28-34
• /
• 2004

Enhanced methodologies for process diagnosis and abnormal situation management have been developed for the last two decades. However, there is no single method that always shows better performance over all kinds of diagnostic problems. In this paper, a framework of message-passing, cooperative, intelligent diagnostic agents is presented for improved on-line fault diagnosis through cooperative problem solving of different expertise. A group of diagnostic agents in charge of different process functional perform local diagnoses in parallel; exchange related information with other diagnostic agents; and cooperatively solve the global diagnostic problem of the whole process plant or business units just like human experts would do. For their better understanding, sharing and exchanging of process knowledge and information, we also suggest a way of remodeling processes and protocols, taking into account semantic abstracts of process information and data. The benefits of the suggested multi-agents-based approach are demonstrated by the implementations for solving the diagnostic problems of various chemical processes.

• Human Ecology Research
• /
• 제59권4호
• /
• pp.433-448
• /
• 2021

The purpose of this study was to analyze two subject competencies (practical problem-solving capability and independent life capability) reflected in the activity tasks included in the 'home life and safety' area of 12 middle school technology-home economics textbooks in accordance with the 2015 revised curriculum. The analysis criteria were sub-elements of two subject competencies. Seven sub-elements were derived from each competency. Frequency analysis was performed to determine how often the sub-elements were reflected in the activity tasks. The results were as follows. First, with regard to the sub-elements of 'practical problem-solving capability', 'value judgment' was reflected most frequently in the activity tasks followed by 'exemplification of solution', 'logical thinking', 'critical thinking', 'decision-making', 'practical reasoning', and 'evaluation of solutions'. Secondly, the sub-elements of 'independent life capability' were unevenly distributed in the activity tasks. The 'capability to perform conscious living' was reflected most frequently followed by 'development and self-identity', 'time, money, and leisure management', and 'reasonable consumption and resource utilization'. For teachers wanting to teach activity-oriented classes and student participatory classes, the results pinpoint the materials necessary to develop learners' subject competencies by using textbooks from different publishing companies.

• 한국수학교육학회지시리즈A:수학교육
• /
• 제42권3호
• /
• pp.353-368
• /
• 2003

Analogy, based on a similarity, is to infer the properties of the similar object from properties of an object. It can be a very useful thinking tool for learning mathematical patterns and laws, noticing on relational properties among various situations. The purpose of this study, when manipulating hint condition, figure and table conditions and the amount of original learning by using algebra word problems, is to verify the effects of analogical transfer in solving equivalent, isomorphic and similar problems according to the similarity of source problems and target ones. Five study questions were set up for the above purpose. It was 354 first grade students of S and G middle schools in Seoul that were experimented for this study. The data was processed by MANOVA analysis of statistical program, SPSS 10.0. The results of this studies would indicate that most of the students would be poor at solving isomorphic and similar problems in the performance of analogical transfer according to the similarity of source and target problems. Hints, figure and table conditions did not facilitate the analogical transfer. Merely, on the condition that amount of teaming was increased, analogical transfer of the students was facilitated. Therefore, it is necessary to have students do much more analogical problem-solving experience to improve their analogical reasoning ability through the instruction program development in the educational fields.

• 대한물리치료과학회지
• /
• 제9권4호
• /
• pp.141-153
• /
• 2002

Problem based learning(PBL) is one of the learning strategies from the constructivism. It is a learning centered students. The tutors are facillitators as activators, helpers and cooperators not organizer in the classrooms. PBL makes that students learn creativity, independence, reasoning skits, communication and collaboration for problem solving. As the PBL process, students get the problems that are in real situation, discussed with others for brain storming, self directed study and revisited to the situation. They think critically and apply to the real situation. When students are to be physical therapists, they are easy to adopt their job and efficient to manage well. But inspite of a lot of advantages to them, there are much conflict to use as the learning strategies. Students perceived one of best learning method that they have experienced, but there are stress, burden, anxiety, timeless to prepare, lack of information and so on. PBL is effective to learning health oriented subjects, problem solving, even a lot preparation and processing for learning. It is reduced the differences between theories in colleges and practices in the fields. In processing of PBL, students get more many skills than the conventional learning. As trying many times to the classrooms, we can fixed to PBL with mistakes and conflict for better the development of the teaching and learning.

• 한국수학교육학회지시리즈E:수학교육논문집
• /
• 제26권2호
• /
• pp.221-249
• /
• 2012

본 연구는 비구조화된 문제해결모형을 적용하여 수업을 하는 과정에서 나타나는 학생들의 의사결정과정을 관찰 분석함으로써 초등학교 현장에서의 비구조화된 문제 적용 가능성을 제시하고자 한다. 이를 위해 서울 소재 C초등학교 5학년 학생 25명을 대상으로 확률과 통계영역 중 자료분석에 관한 비구조화된 문제를 제시하였고, 문제해결은 ABCDE(Analyze - Browse - Create - Decision Making - Evaluate) 모형을 적용하여 의사결정단계(자신의 견해 확립하기, 타인의 견해 검토하기, 문제해결에 적절한 견해를 결정하고 실행하기)에서 나타난 학생들의 의사결정과정을 분석하였다. 총 여섯 모둠 중 비구조화된 문제해결모형에 따라 수업진행이 비교적 잘 이루어진 상위 두 모둠은 문제에 대한 서로의 생각과 의견을 활발하게 나누며, 3단계의 의사결정과정이 모두 나타났다. 학생들의 고차원적인 문제해결력 향상을 위한 심화된 문제의 해결이 요구되는 현 상황에서, 비구조화된 문제의 개발 및 적용을 통해 학습자의 문제 해결의 가능성을 기대해 볼 수 있겠다.

• 한국수학교육학회지시리즈D:수학교육연구
• /
• 제14권3호
• /
• pp.211-218
• /
• 2010

It is a truism that mathematics is about relations (cf. [Halford, G. S. (1999). The properties of representations used in higher cognitive processes: Developmental implications. In: Sigel, I. E. (Ed.), The Development of Mental Representation: Theories and Applications (pp. 147-168). Mahwah, New Jersey: Erlbaum]). In this article we are considering few problems related to the Viviani's and Routh's Theorems. All Problems are connected by the relation which exists between the distances of the point inside the triangle to it sides. We show how reasoning about the relations could lead the student's problem solving process and give easy to understand solutions of the problems. Among the problems being considered are the proof of the Converse to Viviani's Theorem, the formulas for areas of all figures formed by the sides of triangle and its cevians.

• 한국수학교육학회지시리즈E:수학교육논문집
• /
• 제20권1호
• /
• pp.117-145
• /
• 2006

수학 영재들은 타고난 수학적 소질과 적성, 지적인 능력과 창의성을 바탕으로 참신한 과제에 대한 도전적이고 창조적인 호기심을 가지고 있다. 영재아들의 창의적인 사고력을 길러주기 위해서는 다양한 방법으로 문제 해결에 접근하게 하고 전략적 시도를 할 수 있도록 만들어주어야 한다. 이런 관점에서 볼 때 개방적이고 비정형적인 문제를 영재 교육프로그램의 과제로 선정하는 것은 바람직하다 할 수 있다. 본 논문에서는 다양한 유형의 개방형 문제를 구안하고, 이를 토대로 영재 학급에서 학습 활동을 전개한 후, 문제해결 과정에서 영재아들의 수학적 사고 능력의 특성과 문제 해결 전략 사례를 분석하여, 개방형 과제를 활용한 초등학교 영재 수업에 관한 시사점을 얻고자 하였다.

• 대한수학교육학회지:수학교육학연구
• /
• 제11권2호
• /
• pp.239-256
• /
• 2001

The notion of metaphor has been increasingly popular in research of mathematics education. In particular, metaphor becomes a useful unit for analysis to provide a profound insight into mathematical reasoning and problem solving. In this context, this paper takes metaphor as an analytic unit to examine the relationship between objectivity and subjectivity in mathematical reasoning. Specifically, the discourse analysis focuses on the code switching between literal language and metaphor in mathematical discourse. It is shown that the linguistic code switching is parallel with the switching between two different kinds of mathematical knowledge, that is, factual knowledge and mathematical imagination, which constitute objectivity and subjectivity in mathematical reasoning. Furthermore, the pattern of the linguistic code switching reveals the dialectical relationship between the two poles of mathematical reasoning. Based on the understanding of the dialectical relationship, this paper provides some educational implications. First, the code-switching highlights diverse aspects of mathematics learning. Learning mathematics is concerned with developing not only technicality but also mathematical creativity. Second, the dialectical relationship between objectivity and subjectivity suggests that teaching and teaming mathematics is socioculturally constructed. Indeed, it is shown that not all metaphors are mathematically appropriated. They should be consistent with the cultural model of a mathematical concept under discussion. In general, this sociocultural perspective on mathematical metaphor highlights the sociocultural organization of teaching and loaming mathematics and provides a theoretical viewpoint to understand epistemological diversities in mathematics classroom.