• Communications of Mathematical Education
• /
• v.3
• /
• pp.141-167
• /
• 1997

• 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.

• Journal of Korean Elementary Science Education
• /
• v.41 no.4
• /
• pp.690-700
• /
• 2022

This study aimed to compare academic passion for science pedagogical content knowledge (PCK) between pre-service and in-service elementary teachers. In addition, a comparison between passion for science subject matter knowledge and passion for science pedagogical knowledge was made for each group of teachers. Participants comprised 182 students from colleges of education and 161 in-service teachers. We analyzed between- and within-subject comparisons for each component of academic passion for science PCK. The results of this study are as follows: First, between-subject comparison demonstrated that, in academic passion for science subject matter knowledge, in-service teachers had a higher passion for "liking" and "importance" than pre-service teachers, whereas pre-service teachers had a higher passion for "time/energy investment" than in-service teachers. In academic passion for science pedagogical knowledge, pre-service teachers had a higher passion for "time/energy investment" than in-service teachers. Second, the within-subject comparison showed that only "harmonious passion" was higher for science pedagogical knowledge than science subject matter knowledge in pre-service teachers. However, "liking", "importance", "time/energy investment", and "obsessive passion" were higher for science subject matter knowledge than science pedagogical knowledge in in-service teachers. The educational implications are discussed.

• Journal of Educational Research in Mathematics
• /
• v.25 no.4
• /
• pp.675-690
• /
• 2015

This study explore the features of mathematical tasks as an effective means to foster pre-service primary teachers' mathematical knowledge for teaching and develop mathematical task for pre-service primary teachers. As a result, prospective teachers have while solving a mathematical task, converting a given situation to a mathematical problem, and solve problems through connections with existing knowledge, and experience seeing the existing mathematical concepts from a new perspective. Finally, we discussed the conditions for a suitable mathematical task in teacher education.

• 대학교육
• /
• s.85
• /
• pp.64-71
• /
• 1997

인간과 문화 전반을 지향하는 인문학-교양교육에 의해 뒷받침되지 않는 단순한 지식, 즉 전문학이란 '빵을 위한 학문'일 뿐, 그것은 '전문 바보'를 낳지 않으면 우리 사회를 더욱더 '욕망의 체계'로 몰고 갈 것이다. 여기서 전문학이란 무엇이고, 인문학-교양교육이란 무엇이며 그리고 대학의 본질이란 무엇인가를 재검토할 필요성이 강하게 대두되는 것이다.

• School Mathematics
• /
• v.14 no.2
• /
• pp.233-253
• /
• 2012

The purpose of the study investigate mathematics content knowledge(MCK) of prospective teachers in differential area. 70 prospective teachers were asked to perform six questions based on Cho's MCK (2010, 2011). The results show that depending on whether they experience any teacher education program, the level of prospective teachers' mathematics content knowledge may vary. In particular, prospective teachers struggled with an unfamiliar problem situations. We also found that prospective mathematics teachers have some difficulty in solving problem about the use of mean value theorem and derivative.

• The Mathematical Education
• /
• v.58 no.2
• /
• pp.299-317
• /
• 2019

In this study, we analyzed the change of teacher knowledge through task design in the teacher-researcher community focused on knowledge of students in the area of derivatives application. The following subjects were studied. First, we have analyzed the focus of the discussion related to teacher knowledge of students within the teacher-researcher community. Second, we have analyzed the change of teacher knowledge of students according to the focus. The results of this study are as follows. First, community member' different knowledge of students led the discussion on the task solving paths. The main focus of the discussion was the possibility in inducing responses and motivation. Second, the process of reviewing and evaluating task solving paths and reaching consensus led the improvement of teacher knowledge. Teachers and researchers led changes of teacher knowledge by sharing the knowledge based on previous research and experience, respectively. This ultimately shows the necessity of co-learning between teachers and researchers in teacher education.

• The Mathematical Education
• /
• v.47 no.3
• /
• pp.291-310
• /
• 2008

This article is based on an international collaborative study that aimed to investigate mathematical preparation of prospective elementary teachers in several selected education systems in East Asia. This article reports the Korean portion of the study. A survey instrument was developed to explore not only prospective teachers' knowledge of elementary mathematics curriculum and their beliefs in their preparation and mathematics instruction but also their subject matter knowledge and pedagogical content knowledge on the topic of fraction division. A total of 291 seniors in 3 universities participated in the survey. The results reveal these prospective teachers' strengths and weaknesses with regard to their knowledge of fraction division, and suggest that content-specific pedagogical knowledge needs to be emphasized in the teacher preparation program.

• Education of Primary School Mathematics
• /
• v.26 no.4
• /
• pp.349-368
• /
• 2023

The purpose of this study is to explore ways for students to connect conceptual and procedural knowledge in mathematical modeling lessons. Accordingly, we selected the greatest common divisor among the learning contents in which elementary school students have difficulties connecting conceptual and procedural knowledge. A mathematical modeling lesson was designed and implemented to solve problems related to the greatest common divisor while connecting conceptual and procedural knowledge. As a result of the analysis, it was found that the mathematical modeling lesson had positive effects on students solving problems by connecting conceptual and procedural knowledge. In addition, through actual class application, a teaching and learning plan was derived to meaningfully connect conceptual and procedural knowledge in mathematical modeling lessons.

• Journal of Educational Research in Mathematics
• /
• v.22 no.3
• /
• pp.331-352
• /
• 2012

The purpose of the study is to verify what cognitive variables have significant effect on proportional problem solving. For this aim, the study classified proportional problem into well-structured, moderately-structured, ill-structured problem by the level of structuredness, then classified the cognitive variables as well into factual algorithm knowledge, conceptual knowledge, knowledge of problem type, quantity change recognition and meta-cognition(meta-regulation and meta-knowledge). Then, it verified what cognitive variables have significant effects on 6th graders' proportional problem solving abilities through multiple regression analysis technique. As a result of the analysis, different cognitive variables effect on solving proportional problem classified by the level of structuredness. Through the results, the study suggest how to teach and assess proportional reasoning and problem solving in elementary mathematics class.