• Education of Primary School Mathematics
• /
• v.25 no.1
• /
• pp.125-141
• /
• 2022

The purpose of this study is to analyze how pre-service teachers perceive mathematics problems by making good mathematics problems at the elementary school level and applying them to elementary school students. In this study, 86 pre-service teachers enrolled in the second and third grades of A University of Education presented good mathematics problems they thought of. In addition, these pre-service teachers predicted the solution strategies of elementary school students for the proposed mathematics problem and described the teacher's expertise while observing the problem-solving process of elementary school students. As a result of the study, pre-service teachers preferred mathematical problems needed for using mathematical concepts or algorithms, motivation, and open-ended problems as good mathematics problems, and thought that students' in-depth observation and analysis experiences could help improve teachers' problem-solving expertise. In order to enhance teachers' expertise in solving mathematics problems, the researcher proposed for pre-service teachers to observe students' mathematics problem-solving processes, to experience in developing high-quality mathematics problems, and also to distribute high-quality mathematics problems linked to textbook problems.

• Communications of Mathematical Education
• /
• v.25 no.2
• /
• pp.451-472
• /
• 2011

In this paper we studied problem solving related with geometric interpretation of algebraic expressions. We analyzed algebraic expressions, related these expressions with geometric interpretation. By using geometric interpretation we could find new approaches to solving mathematical problems. We suggested new problem solving methods related with geometric interpretation of algebraic expressions.

• Communications of Mathematical Education
• /
• v.19 no.2 s.22
• /
• pp.389-407
• /
• 2005

수학은 위계적이고 구조적인 특성을 가지고 있어서 학생들이 적절하게 학습하면 내적 동기유발이 가능하고 흥미 있게 학습해 나갈 수 있는 반면 단편적인 지식들로 학습하려 한다면 그 양이 방대해지고 제대로 이해하기가 어렵다. 그러므로 교사는 수학적 지식의 구조를 깨달아 지식의 본체가 내적으로 어떻게 조직되고 상호 관련되어 있는지 알아야 하고 학생들이 수학적인 아이디어와 절차를 획득하고 탐구하게 하는 적절한 문제를 제시하여 문제해결을 통해 가르쳐 가는 방법을 생각해야 할 것이다. 이 때에 학생들은 문제해결 과정에서 능동적인 역할을 하면서 자신이 학습하고 있는 것의 핵심을 인식하고 호기심을 갖고 유의미한 기능들을 이끌어내는 학습을 해야 하는데, 이는 오랜 전통의 탐구 학습과 그 맥락을 같이 하는 것이다. 수학교과 고유의 특성을 살려 지식의 구조를 가르침에 있어서 교수 방법으로의 문제해결을 통한 지도와 학습 방법으로의 탐구학습 과정은 잘 조화될 수 있다. 이러한 조화된 모습을 드러나게 하고자 초등학교 5학년 가 단계에서 '평면도형의 넓이와 둘레 사이의 관계'를 탐구하게 하는 문제해결을 통한 탐구학습 과제를 제시해 보았다. 30-40년을 거슬러 올라가는 역사를 갖는 지식의 구조나 탐구학습, 문제해결에 대한 관심은 오늘날에도 여전히 시사하는 바가 크다고 하겠다. 수학교육에 관한 연구들은 완전히 새로운 것이기보다는 이전의 것들이 주는 의미를 되새기고 오늘의 상황에 비추어 해석할 때 수학교육은 한 단계 올라서게 된다.

• Communications of Mathematical Education
• /
• v.18 no.1 s.18
• /
• pp.19-25
• /
• 2004

초등학교에서 고학년으로 갈수록 수학에 대한 흥미가 떨어지고 수학을 기피하는 학생들을 많이 볼 수 있다. 그러한 아동들의 대부분은 수학에 대한 어려움을 많이 호소하고 있는데 특히 비정형화된 문제들을 대할 때엔 그 현상은 더욱 심각하다. 초등학교 수학 교과서의 마지막 단원은 '문제 푸는 방법 찾기' 단원인데, 이 단원에 제시된 문제들은 대체로 비정형화된 문제들이다. 정형화된 문제에 익숙한 아동들은 이러한 비정형 문제들을 해결하는 데에 상당히 어려움을 나타내곤 한다. 본교에서는 이러한 아동들의 어려움을 해결할 수 있는 방안으로 협력학습을 택하였다. 또래들과의 상호작용 속에서 비정형화된 문제에 보다 친숙하게 접근하고 해결해 나가는 과정을 반복하다 보면 수학에 대한 흥미를 되찾게 되고, 문제 해결력과 수학적 사고력이 향상될 것으로 기대된다.

• Communications of Mathematical Education
• /
• v.18 no.2 s.19
• /
• pp.163-186
• /
• 2004

구성주의에 기반한 7차 교육과정에서 교사 중심의 수업에서 학생 중심의 수업으로 전환을 강조하고 있다. 또한 지식을 객관적인 존재라는 의식에서 벗어나 학생들 스스로에 의해 구성되어진다는 것을 강조하고 있다. 이러한 시점에서 교실 수업의 개선은 당연한 흐름이며 교사들의 의식 전환 또한 당연한 것이다. 7차 교육과정에서 문제해결력을 바탕으로 한 수학적 힘의 신장을 강조하고 있다. 이러한 시대적 요청에 부응하는 교수법의 개발에 있어서 문제해결력과 창의적 사고력 학습법에 대한 연구는 필연적이다. 따라서 본 연구의 목적은 어떤 문제설정 방법이 문제해결력과 창의력을 향상시키는데 보다 더 효과가 있는지 알아보는데 그 목적이 있다.

• The Journal of the Korea Contents Association
• /
• v.21 no.6
• /
• pp.716-724
• /
• 2021

The purpose of this study is to examine the effect of coded education on creative problem solving ability on academic high school students. The subjects of the study were 24 students (14 male, 10 female) in the 1st to 3rd grade students voluntarily desiring coding education at the 'J' high school in Chungju, Chungcheongbuk-do. For the experimental group, the intervention program was conducted 10 times a month for 5 months. In the intervention program, pre and post test were conducted to investigate the effects of creative problem solving ability by using the scratch program. The results of the study are as follows. First, after examining the creative problem solving ability of the experimental group after the coding training, it was statistically significant as the average score increased. Second, coding education was suitable for achieving the sub-goal of the creative experience activity of' increasing the ability to reasonably and creatively solve everyday problems'. In particular, it was found that it is effective in improving self-confidence and independence.

• Journal of Elementary Mathematics Education in Korea
• /
• v.1 no.1
• /
• pp.1-16
• /
• 1997

Children should have opportunities to experience problem solving individually with strategies for developing their problem solving abilities. To make an instructional design for individual teaming, problem solving activities were classified into categories like individual activities, individual activities within a group, and team teaching. A flow of teaching and teaming process was designed before, and concrete and semi-concrete materials were used in an experimental teaching, which was analysed in this research.

• Journal of The Korean Association of Information Education
• /
• v.17 no.3
• /
• pp.233-242
• /
• 2013

"Problem-solving methods and procedures" sections in the 2009 revised informatics curriculum emphasized active use of algorithmic thinking to solve problems. And it is proposed to solve the various problems of real life using programming language for the implementation of the algorithm. Recently, various Educational Programming Language has been developed for elementary programming activity and many researches showed that students' cognitive burden was reduced in learning programming language with Educational Programming Languages. However implementation of the algorithm is difficult for novice programmer. For the reason, effective way is required for elementary students to connect design of the algorithm and implementation of the algorithm. Therefore, in this study propose the algorithm design worksheets that it is possible to create an algorithm to describe the content needed to implementation in programming education. And this study proved the effect of the algorithm design learning tools through experiment.

• Asia-Pacific Journal of Business Venturing and Entrepreneurship
• /
• v.17 no.5
• /
• pp.187-203
• /
• 2022

As the economic, social, and environmental problems of the local community reach a serious level, our society is realizing the need to foster young talents who discover opportunities in local issues through entrepreneurship education and create social values through creative challenges. However, entrepreneurship education programs are generally focused on commerciality, so customized education programs to solve regional problems are insufficient. Therefore, this study aimed to develop a community problem-solving entrepreneurship curriculum. In this study, a competency based curriculum model was applied to develop the curriculum, and regional problem-solving entrepreneurship competencies were derived through expert advice from a total of 10 people. In the process, the Delphi methodology was additionally used to reduce the possibility of errors in the competency model. As a result of the study, a total of 23 regional problem-solving entrepreneurship competencies were confirmed, and knowledge(K) - skill(S) - attitude(A) by competency consisted of 5, 9, and 9, respectively. By applying this to Dunham's problem-solving six-step model, modular learning support measures were developed in the order of phase 1(problem discovery), phase 2(problem analysis), phase 3(plan), phase 4(measure), and phase 5(evaluation). This study is meaningful in that it integrated theory and practice by developing specific entrepreneurship curriculum and learning support measures based on the theoretical model devised in social welfare. In addition, it has implications in that it developed a regional problem-solving entrepreneurship competency model based on expert advice and proposed a specific curriculum based on this.

• Education of Primary School Mathematics
• /
• v.21 no.3
• /
• pp.351-374
• /
• 2018

The purpose of this study is to support the understandings of teachers about the instructional strategies of collaborative problem solving and mathematical modeling as presented in the 2015 revised mathematics curriculum. For this, tasks of the Cubes unit from six grader's and lesson plans were developed. The specific problem solving processes of students and the practices of teachers which appeared in the classes were analyzed. In the course of solving a series of problems, students have formed a mathematical model of their own, modifying and complementing models in the process of sharing solutions. In particular, it was more effective when teachers explicitly taught students how to share and discuss problem-solving. Based on these results this study is expected to suggest implications on how to foster students' problem solving ability as mathematical subject competency in elementary classrooms.