• Title/Summary/Keyword: 수학과교육과정

Search Result 201, Processing Time 0.03 seconds

An Inquiry on the Building Process of Pedagogical Content Knowledge of Prospective Mathematics Teachers -centered at function concepts- (수학과예비교사들의 교수학적지식 형성 과정 탐구 -함수 개념을 중심으로-)

  • Kang Yun-Soo;Jun Sung-A
    • The Mathematical Education
    • /
    • v.45 no.2 s.113
    • /
    • pp.217-230
    • /
    • 2006
  • The purpose of this study is to inquire the building process of Pedagogical Content Knowledge of prospective mathematics teachers about the function concepts. For this purpose, We performed the following steps; First, we performed the survey relaying to the prospective mathematics teachers' teaching experiences, capabilities of their error evaluation of the students, and viewpoints about the function concepts. Second, we performed the survey on the subject-matter knowledge about the function concepts and the key items of designing teaching plans about the function concepts. And then, we interviewed the participants to check the results of the surveys and to supplement the necessary contents. The collected data was relatively correlative and analyzed in the process. As a result, we found the followings; First, subject-matter knowledge of prospective mathematics teachers about the function concepts is different depending on the grades. Second, prospective mathematics teachers are building more extended function concepts through the major subjects. Third, the major subjects are important to build the Pedagogical Content Knowledge of function concepts. Fourth, teaching experience plays an important role in transforming subject-matter knowledge of function concepts to Pedagogical Content Knowledge of it. Fifth, building the Pedagogical Content Knowledge means transferring the teacher's viewpoint from himself/herself to the learner.

  • PDF

Courseware Design and Implementation for Shifting of Figures and Learning on Domains Based on The Web (웹을 기반으로 한 도형이동과 영역학습을 위한 코스웨어 설계 및 구현)

  • 문애리;김하진
    • Proceedings of the Korean Information Science Society Conference
    • /
    • 2003.04a
    • /
    • pp.863-865
    • /
    • 2003
  • 교육정보화의 실현이라는 과제가 현재의 학교현장에 필요한 만큼 제7차 교육과정의 시작과 더불어 학습자의 지식과 능력을 육성하기 위한 미리 계획된 WBI(Web based Instruction)를 기반으로 한 교수 모형의 필요성이 강조된다. 본 연구는 WBI의 교육적 기능을 충분히 반영하여 교실에서 교사가 사용하기 쉽고 효율적인 학습자료를 구현하여 웹 환경이 조성된 교실에서 활용할 수 있도록 하였다. 이러한 구현을 위한 프로그램으로는 웹 환경에서 실행하는데 무리가 없고 소용량으로 에니메이션 효과를 극대화 할 수 있는 Flash MX를 사용하였고, 고등학교 ‘수학10-나’의 내용 중 교과서와 칠판만을 사용하여 수업하는 데는 한계가 있는 과정인 ‘도형의 이동과 부등식의 영역’을 주로 개발하였다. 학습자들은 학교에서 수업한 내용을 웹 환경을 이용하여 개별학습 및 반복학습을 할 수 있고, 교사들은 교실이나 멀티미디어실에서 웹을 통하여 본 연구에서 구현한 프로그램을 사용함으로 학교 수업의 효율성을 높이고자 한다.

  • PDF

Elementary Pre-service Teachers' Uses of Mathematics Teaching Expertise According to the Number of Their Mathematics Instructions in the Teaching Practice (교육실습에서 수학 수업 실행 횟수에 따른 초등예비교사의 수학 수업전문성 지식 활용 양상)

  • Kim, Hae Gyu
    • Journal of Elementary Mathematics Education in Korea
    • /
    • v.22 no.1
    • /
    • pp.1-24
    • /
    • 2018
  • This study included eleven elementary pre-service teachers who participated in the first and second teaching practices held by J Education College in 2015. After the pre-service teachers were encouraged to self-reflect on their mathematics teaching using a reflective survey sheet of mathematics teaching expertise, their uses of mathematics teaching expertise were analyzed according to the times of their mathematics practice instructions. The results are as follows: First, as the frequency of their mathematics teaching increased, the pre-service teachers' uses of mathematics teaching expertise increased, especially greatly with seven of them. However, the number of subcategories where the teachers' uses of mathematics teaching expertise increased was different from at least two to seven depending on the teachers. Second, the pre-service teachers who performed mathematics teaching practices four times used more of mathematics teaching expertise than those who did two times or three times. Third, some pre-service teachers who taught two or three times never reached 90% of the total score of any subcategory, even in the subcategory where they showed increase in their uses of mathematics teaching expertise. Fourth, the subcategory of 'reflection before class - teaching perspective - understanding of mathematics subject knowledge' was analyzed as the most difficult one for the study participants, and the reason is, they think, that there are not enough materials on the historical back grounds of mathematical concepts.

  • PDF

An Analysis of Length and Time in the Elementary Mathematics Textbooks: Focused on the Instructional Components of Measurement and Key Competencies in Mathematics (길이와 시간에 관한 초등학교 수학 교과서 분석: 측정의 교수·학습 요소 및 수학 교과 역량을 중심으로)

  • Pang, JeongSuk;Kwon, MiSun;Kim, MinJeong;Choi, InYoung;SunWoo, Jin
    • School Mathematics
    • /
    • v.18 no.2
    • /
    • pp.301-322
    • /
    • 2016
  • Even though measurement is an important strand of elementary mathematics education, there has been lack of research in this field. This study analyzed topics related to length and time in a series of mathematics textbooks aligned to 2007 or 2009 revised mathematics curriculum. The analysis was focused on three aspects: (a) overall instructional components of measurement, (b) instructional components specific to the topics of measurement, and (c) key competencies in mathematics. The results of this study showed that many topics dealing with length and time were represented with relation to real-life contexts or other subjects. The meanings of measurement terms and the necessity of calculation were well explained but other aspects still had room for improvement when it comes to the necessity of measurement units, appropriate choice of units, and use of students' common misconceptions. Another noticeable result was that problem solving, communication, and reasoning among key competencies in mathematics have been emphasized in the mathematics textbooks. Based on these results, this study provides textbook writers with implications on what to further consider in dealing with length and time.

Kindergarten Teachers' Perception of Content Areas of Mathematics for Young Children - According to the 2007 national kindergarten curriculum - (유치원 교사가 지각한 유아 수학교육의 내용 - 2007년 개정 유치원 교육과정에 따른 -)

  • Lee, Jung-Hee
    • Korean Journal of Human Ecology
    • /
    • v.18 no.3
    • /
    • pp.597-607
    • /
    • 2009
  • The purpose of this study was to investigate the perception of kindergarten teachers about which content should be included in early childhood mathematics education. Then the researcher looked into the findings according to the 2007(7th) national kindergarten curriculum. The results showed that kindergarten teachers perceived the important of balanced content areas of early childhood mathematics education. But the results also showed that kindergarten teachers perceived classification as the most important content areas of early childhood mathematics education. This implicates that the kindergarten teachers revealed somewhat conflicting beliefs about mathematics education. The results also showed that kindergarten teachers did not perceive space and data analysis as the most important content areas of early childhood mathematics education according to the 2007 national kindergarten curriculum The kindergarten teachers also suggested basic and restricted mathematics concepts. The results of this study were discussed related with the problems in early childhood mathematics education, especially the problems in teacher education.

Exploring Factors Influencing Affective Characteristics in Elementary School Students: Focusing on School Mathematics Education and Social Environment (초등학생의 정의적 특성에 영향을 미치는 요인 탐색: 학교에서의 수학 교육 및 사회적 환경을 중심으로)

  • Kwon, Jeom-Rae;Kwon, Misun
    • Education of Primary School Mathematics
    • /
    • v.26 no.3
    • /
    • pp.199-217
    • /
    • 2023
  • Affective characteristics have been consistently emphasized in mathematics education, but students' confidence or interest in mathematics has not changed significantly. This study analyzes the factors affecting the affective characteristics according to students' academic achievements, which have not been studied so far. The study was surveyed 593 students in the 5th and 6th grades, divided into school mathematics education and social-environmental factors. As a result of the study, students cited 'mathematics class at school' as the factor that had the most influence on their affective characteristics, regardless of academic achievement. Excluding 'mathematics classes at school', upper level students said that 'private education' and 'college entrance exams and jobs', had the most influence on their affective characteristics. Middle level students said that 'assessment at school' and 'private education' had the most influence on their affective characteristics. Lower-level students said that 'school evaluation' and 'mathematics textbook' had the most influence on the affective characteristics. In particular, as the academic achievement level decreased, students' participation in classes decreased rapidly. Most students said that the mathematics content they were learning was too difficult for that reason. Considering these research results, it would be effective to apply methods according to students' academic achievement to some extent in order to improve affective characteristics.

Exploration of extending harmonograph STEAM educational contents toward kinetic art work (하모노그래프 STEAM 교육용 콘텐츠가 갖는 키네틱 예술 작품으로서의 확장 가능성 탐구)

  • Jun, Youngcook
    • Proceedings of the Korea Contents Association Conference
    • /
    • 2018.05a
    • /
    • pp.239-240
    • /
    • 2018
  • 로봇 키트 등의 도구와 제어하기 쉬운 코딩 기법 등은 학생들에게 창의적인 융합 프로젝트를 할 수 있는 환경을 제공하는데 기여하고 있다. 이 논문은 진자의 왕복 운동을 물리적으로 다루면서 수학 도형을 생성하는 하모노그래프 장치를 만들고 아두이노 키트를 사용하여 향상시키는 중학생들의 사사과정 프로젝트를 소개한다. 그리고 과학(S), 테크놀로지(T), 공학(E), 수학적 접근(M)과의 관련성을 다루고 키네틱 예술 작품으로 발전할 수 있는 가능성을 탐구한다.

  • PDF

Probability and statistics in public secondary school teacher employment exam (확률 및 통계와 교원임용시험)

  • Oh, Kwangsik
    • Journal of the Korean Data and Information Science Society
    • /
    • v.28 no.6
    • /
    • pp.1539-1545
    • /
    • 2017
  • In this paper, we analyze and discuss the trend of the probability and statistics problems that have been made in the public secondary school teacher employment exam for mathematics teachers. In order to properly teach the national mathematics curriculum in 2015 in terms of content and function, we investigate the probability and statistics contents that a mathematics teachers should know. We also analyze the contents and trends of the items that have been submitted for 15 years in public secondary school teacher employment exam, and discuss the contents, scope, level and direction of the future contents. In conclusion, considering the significance of the Big Data in the 4th industrial revolution, the problems of statistical thinking of data and probability, exploratory data analysis, sample survey, and statistical inference are needed more.

Analyzing the Performance Expectations of the 2022 Revised Mathematics and Science Curriculum from a Data Visualization Competency Perspective (데이터 시각화 역량 관점에서 2022 개정 수학/과학 교육과정의 성취기준 분석)

  • Dong-Young Lee;Ae-Lyeong Park;Ju-Hee Jeong;Ju-Hyun Hwang;Youn-Kyeong Nam
    • Journal of the Korean Society of Earth Science Education
    • /
    • v.17 no.2
    • /
    • pp.123-136
    • /
    • 2024
  • This study examines the performance expectations (PEs) and clarification statements of each PE in the 2022 revised national science and mathematics education standards from a data visualization competency perspective. First, the authors intensively reviewed data visualization literature to define key competencies and developed a framework comprising four main categories: collection and pre-processing skills, technical skills, thinking skills, and interaction skills. Based on the framework, the authors extracted a total of 191 mathematics and 230 science PEs from the 2022 revised science and mathematics education standards (Ministry of Education Ordinance No. 2022-33, Volumes 8 and 9) as the main data set. The analysis process consisted of three steps: first, the authors organized the data (421 PEs) by the four categories of the framework and four grade levels (3-4th, 5-6th, 7-9th, and 10th grade); second, the numbers of PEs in each grade level were standardized by the accomplishing period (1-3 years) of each PE depending on the grade level; lastly, the data set was represented by heatmaps to visualize the relationship between the four categories of visualization competency and four grade levels, and the differences between the competency categories and grade levels were quantitatively analyzed using the Mann-Whitney U test and independent sample Kruskal-Wallis tests. The analysis results revealed that in mathematics, there was no significant difference between the number of PEs by grade. However, on average, the number of PEs categorized in 'thinking skills' was significantly lower than those in the technical skills (p = .002) and interaction skills categories (p = .001). In science, it was observed that as grade level increased, PEs also increased (pairwise comparison: Grades 5-6 vs. 7-9, p = .001; Grades 5-6 vs. Grade 10, p = .029; Grades 3-4 vs. 7-9, p = .022). Particularly, the frequency of PEs in 'thinking skills' was significantly lower than in the other skills (pairwise comparison: technical skills p = .024; collection and pre-processing skills p = .012; interaction skills p = .010). Based on the results, two implications for revising national science and mathematics standards and teacher education were suggested.

A Review on Meaning of Expression, Equation and Identity (식, 방정식, 항등식이라는 용어의 의미에 관한 연구)

  • Kim, Jin-Hwan;Park, Kyo-Sik
    • School Mathematics
    • /
    • v.12 no.1
    • /
    • pp.27-43
    • /
    • 2010
  • In this article the conceptual meaning of expression, equation and identity used in Korean mathematics textbooks and American mathematics textbooks is compared and discussed. For this purpose definitions and examples in several mathematics textbooks which are used in Korean elementary school, the 1st grade of middle school and American middle school are investigated. It is founded out that at first there are some parts that give rise to misunderstanding and then there are differences between the Korean terminologies and their corresponding English counterparts. The definitions of expression, equation and identity are advised to examine in the view of middle mathematics curriculum.

  • PDF