• Education of Primary School Mathematics
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• v.25 no.4
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• pp.377-394
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• 2022

Criticism has been raised that the way of teaching weights in the 3rd and 4th graders of elementary school is different between the 2015 revised math curriculum and the 2015 revised science curriculum, causing confusion among elementary school teachers and students. This study tried to confirm the social recognition that should be considered in the process of didactic transformation which means transformation from knowledge to used into knowledge to taught and to compare the variations of didactic transformations differently according to didactic intentions. The research analyzes and synthesizes the root of the meaning of weight, weight in the international standard system of units SI, weight implemented in Korean mathematics curriculum and textbooks, Singaporean mathematics curriculum and textbooks, USA mathematics curriculum and textbooks, and Korean science curriculum and textbooks. Through this analysis, a pedagogical perspective on how to define and teach weight in elementary school as knowledge to be taught was derived.

• Journal of Educational Research in Mathematics
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• v.18 no.2
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• pp.223-237
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• 2008

In this paper, We focus on grasping De Morgan's perspectives on mathematics education systematically. His perspectives can be summarized as followings. First, historico-genesis of mathematics must be considered in the teaching and learning of mathematics. Second, mathematical conception of students must be formulated progressively. Third, it is important to use errors which come out continually in the process of passing from inductive stage to deductive stage. Fourth, personal knowledge of students is important in the teaching and learning of mathematics. These De Morgan's four perspectives are the way of approach for experiencing moral certainty first of all to get to mathematical certainty. Moral certainty which he presented is a combination of rationality and humanity to fill up gaps between Platonism and general public education.

• Communications of Mathematical Education
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• v.10
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• pp.59-80
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• 2000

수학 학습 부진아의 지도가 효율적으로 이루어지기 위해서는 먼저 원인의 진단이 선행되어야 하고, 이를 바탕으로 적절한 치료 대책이 이루어져야 하는 바, 교사는 수학 학습에서 부진을 야기하는 여러 가지 복합적인 요인에 대한 지식을 갖출 필요가 있다. 학생들이 수학적 이론의 구조 속에 싸여 있을 때, 수학적 개념과 원리를 잘 이해하는 것처럼, 교사는 수학 학습 부진의 요인에 대한 이론의 구조 속에서 학생들의 행동을 투사함으로써 그들의 행동을 이해하게 되고 진단과 치료가 잘 이루어질 것이다. 이와 같은 관점에서 본 연구는 수학 학습 부진의 요인을 크게 개인적 측면과 환경적 측면으로 나누고, 개인적 측면에서는 인지적 요인, 심동적 요인, 정서적 요인을, 환경적 측면에서는 사회적 요인, 교육적 요인에 대해 고찰한다. 그리고 이들 요인에 대한 정확한 처방을 하기에는 어려움이 많지만, 최선의 교육적 치료 방법을 논의해 보고자 한다.

• Communications of Mathematical Education
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• v.17
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• pp.97-114
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• 2003

일선 교육 현장에서 영재를 지도함에 있어서 해결해야 할 당면 과제는 판별 도구와 학습 프로그램의 개발이다. 영재를 위한 수학 프로그램을 문제 해결형, 수학 탐구형, 과제 해결형의 3가지로 분류할 경우, 퍼즐은 문제 해결형과 수학 탐구형 프로그램의 특성을 공통적으로 갖고 있는 유형으로 수학적 지식의 통합과 연결성. 그리고 창의적 문제 해결력 신장 및 수학적 원리 ${\cdot}$ 법칙을 체험적으로 만들 수 있는 기회를 제공한다는 점에서 매우 가치있는 프로그램이다. 특히 조작퍼즐은 기존의 대수적 표현 체계로 학습하기가 힘든 관찰력이나 공간에 대한 인식과 표현력 친 공간 추론력을 기르는 데 유용하며, 게임적인 요소가 포함된 퍼즐은 지필에 의존해 왔던 수학학습에 대한 부정적인 인식을 해소하는 데 크게 기여할 것이다. 본 고에서는 수학 퍼즐의 종류 및 특성과 교육적 가치에 대해서 개괄적으로 살펴보고, 실제 프로그램 작성을 위한 정보를 제공과 영재들의 공감 감각을 기르기 위한 프로그램의 원을 이용한 수학 퍼즐의 개요를 제시한다.

• School Mathematics
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• v.13 no.2
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• pp.229-243
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• 2011

The mathematics exhibition gives visitors a special chance to experience mathematics materials through a variety of exhibits. Thus, the study should be carried out by examining the impact on students' perception in the area of mathematics education. This study was conducted based on the three domestic mathematics exhibitions. I carried out the study, with the population of the middle and high school students consisted of 393 attendees and 135 volunteers at the exhibitions, to examine (1) the current condition of exhibitions' operating system and exhibits, (2) the reaction to the exhibits' contents, presentation methods, exhibitions' operating systems, and facilities, and (3) the cognitive and affective effects on the students' perception, engagement, and motivation. From the research-based study, I found more pros on the mathematics exhibition than cons. Therefore, in my opinion, the exhibition's role should be defined as an efficient supplementary method to complement the school curriculum. It is also necessary to develop the appropriate exhibits' contents reflecting the students' levels and needs. The government should provide enough financial supports to various mathematics exhibitions in order to install amenities and facilities for visitors.

• Education of Primary School Mathematics
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• v.11 no.2
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• pp.141-159
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• 2008

The purpose of this study id to delve into how elementary mathematics textbook deal with the quadrilaterals from a view of Didactic Transposition Theory. Concerning the instruction period and order, we have concluded the following: First, the instruction period and order of quadrilaterals were systemized when the system of Euclidian geometry was introduced, and have been modified a little bit since then, considering the psychological condition of students. Concerning the definition and presentation methods of quadrangles, we have concluded the following: First, starting from a mere introduction of shape, the definition have gradually formed academic system, as the requirements and systemicity were taken into consideration. Second, when presenting and introducing the definition, quadrilaterals were connected to real life. Concerning the contents and methods of instruction, we have concluded the following: First, the subject of learning has changed from textbook and teachers to students. Second, when presenting and introducing the definition, quadrilaterals were connected to real life. Third, when instructing the characteristics and inclusive relation, students could build up their knowledge by themselves, by questions and concrete operational activities. Fourth, constructions were aimed at understanding of the definition and characteristics of the figures, rather than at itself.

• Journal of the Korean School Mathematics Society
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• v.23 no.1
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• pp.67-88
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• 2020

This study analyzed the characteristics of prospective teachers' Horizon Content Knowledge(HCK) related to understandings of an inverse function symbol. This study aimed to deduce implications of developing HCK in terms of the means which would enhance mathematics teachers' professional development. In order to achieve the aim, this study identified features of HCK by examining the previous literature on HCK, which has conformed Ball & Bass(2009) and exploring the research in AMT, including Zazkis & Leikin(2010) which has emphasized cultivating AMT through university mathematics education. In addition, a questionnaire was developed regarding the features of HCK and taken by 57 prospective teachers. By analyzing the data obtained from the written responses the participants presented, this study delineated the specific characteristics of the teachers' HCK with regard to an inverse function symbol. Additionally, several issues in the teacher education for improving HCK were discussed, and the results of this research could inspire designing and implementing a teacher education program relevant to HCK.

• Journal of Elementary Mathematics Education in Korea
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• v.16 no.3
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• pp.491-509
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• 2012

The purpose of this study is to analyze some Korean elementary pre-service teachers' Mathematical Knowledge for Teaching(MKT). For this purpose, we selected the MKT items on number and operations which were adapted for Korean in-service teachers by Lee(2011). The survey consisting of those items was administered to 76 Korean elementary pre-service teachers at Teachers College, J University. The results are the following: First, the respondents, elementary pre-service teachers, showed that the preference for the MKT items was very affirmative, but the percentages of correct answers to the MKT items weren't generally high. Second, the preference for the instructional consultation by experienced teachers was very affirmative. Third, the percentages of correct answers to KCS, SCK, CCK and KCT were 70.13%, 55.71%, 43.87% and 29.27%, respectively. Fourth, the percentages of correct answers to type 5, 6, and 7 were more than 60%, but those of correct answers to type 1, 2, 3, 4, and 8 were less than 60%. This means we need to strengthen type 1, 2, 3, 4, and 8 in education of elementary mathematics subject at Teachers College of J University.

• Journal of the Korean School Mathematics Society
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• v.13 no.4
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• pp.619-633
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• 2010

To offer insights in organizing professional development programs to promote teachers' substantial ongoing learning, this paper provides an overview of situative perspectives in terms of cognition as situated, cognition as social, and cognition as distributed. Then, it describes research findings on how mathematics teachers can enhance their knowledge and thus improve their instructional practices through participation in a professional development program that mainly provides opportunities to learn and analyze students' mathematical thinking and to perform mathematical tasks through which they interpret the understanding of students' mathematical thinking. Further, it shows that a knowledge of students' mathematical thinking is a powerful tool for teacher learning. In addition, it suggests that teacher-researcher and teacher-teacher collaborative activities influence considerably teachers' understanding and practice as such collaborations help teachers understand new ideas of teaching and develop innovative instructional practices.

• Communications of Mathematical Education
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• v.9
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• pp.97-114
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• 1999

새로운 세기의 수학 교육은 직관과 조작 활동에 바탕을 둔 경험에서 수학적 형식, 관계, 개념, 원리 및 법칙 등을 이해하도록 지도되어야 한다. 즉 학생들의 내면 세계에서 적절한 경험을 통하여 시각적 ${\cdot}$ 직관적으로 수학적 개념을 재구성할 수 있도록 상황과 대상을 제공해야 한다. 이를 위하여 컴퓨터 응용 프로그램을 활용한 자기주도적 수학 개념 형성에 적합한 교수 ${\cdot}$ 학습 모델을 구안하여 보았다. 이는 수학의 필요성과 실용성 인식 및 자기주도적 문제해결력 향상을 위한 상호작용적 매체의 활용이 요구된다. 본 연구는 구성주의적 수학 교수 ${\cdot}$ 학습 이론을 근간으로 대수 ${\cdot}$ 해석 ${\cdot}$ 기하 및 스프레트시트의 상호 연계를 통하여 수학 지식을 재구성할 수 있도록 학습수행지를 제작하여 교사와 학생의 다원적 상호 학습 기회를 제공하는 데 주안점을 두고자 한다.