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A View on the Diversity of the Word and Mathematical Notation Expression Used in High School Mathematics Textbooks (고등학교 수학 교과서에서 사용되는 어휘(語彙)와 수학 기호 표현의 다양성에 대한 소고(小考))

  • Yang, Seong Hyun
    • Journal of the Korean School Mathematics Society
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    • v.20 no.3
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    • pp.211-237
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    • 2017
  • Depending on the type of textbook, the word and mathematical notation expression used in high school mathematics textbooks varied and there were also some differences on the mathematical definition and the content description methods. Not only the composition of textbooks but also various expressing ways of textbooks have significant impacts on teaching and learning of teacher and student. The diversity of expression had pros and cons like both sides of a coin. There is a positive aspect that we can pursue pedagogical diversity. Simultaneously there is a negative aspect that the possibility of acting as a learning burden exists in the viewpoint of the student and the equality of evaluation may be undermined. In this study, Preferentially we focused on analyzing the actual situation rather than judging what is more appropriate about the diversity of words and notation expressions used in mathematics textbooks which is based on the current curriculum. For this purpose, we analyzed 56 kinds of mathematics textbooks based on the 2009 revised mathematics curriculum, and presented four aspects(terms expressing, notations expression, mathematical definition, content description method) with examples about differences of the various expressions used in textbooks including 'terms and notations'.

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A Case Study on the Development of Descriptive Problems in Grade 4 Mathematics (수학과 서술형 평가의 문항개발 사례 연구 - 4-나 단계를 중심으로 -)

  • Hong, Jee-Yun;Kim, Min-Kyeong;Noh, Sun-Sook;Kwon, Jum-Rye
    • Journal of Educational Research in Mathematics
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    • v.18 no.3
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    • pp.335-352
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    • 2008
  • The purpose of this research was to investigate the descriptive evaluation method that focuses on the problem solving process of the student. The goal was to evaluate the students' understanding of the subject rather than the students' ability to find the final answer. The descriptive evaluation is being suggested as a way of examining the thought process of the student by performing a structured analysis of the problem solving process. Today, there are not enough descriptive evaluation resources available for teachers to effectively carry out this alternative assessment method in the elementary school mathematics curriculum. This research is a case study on the development of resources for descriptive evaluation in grade 4 mathematics. We designed the development process for descriptive evaluation and its rubric for all 8 units of the 4-Na level of mathematics in the elementary school curriculum. Three descriptive problems were developed for each of the 8 units for a total of 24 problems. The rubric consisted of three areas of assessment, 1) understanding of the problem, 2) problem solving, and 3) mathematical communication. The problems were first pilot tested in two 4th grade classes. Modified problems were then tested in a different 4th grade classroom. The study showed that the three defined areas of evaluation framework (problem understanding, problem solving and mathematical communication) were measurable and analyzable using the developed grading rubric. We then conclude that he descriptive evaluation could be used as an effective tool for improving teacher performance in elementary school mathematics.

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An Analytical Study on Student's Physical Examination of Elementing and Seconding School in Korea (우리나라 초(初)·중(中)·고(高) 학생(學生) 신체검사결과(身體檢査結果)에 대한 분석연구(分析硏究))

  • Youn, Chong Duk
    • Journal of the Korean Society of School Health
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    • v.1 no.1
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    • pp.114-132
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    • 1988
  • Aiming to appraise student's health status and recommend improvement and strengthening of the school health services, statistical analysis of the results of health examination were done with summarized data which were collected nation-wide through the Ministry of Education. After analysis of data obtained, the results of the study summarized as follows; 1) Requested Adequate care Requested Adequate care showed from 5 % to 3% in 1962 and 1984 respectively. In sexes, Requested Adequate in girls (2.8%) more apparent than in boys (2.5%) 2) Eyes i) Weak vision, abnormal refraction of eyes (myopia, hypermetropia and astigmatism), eye diseases (trachoma, others) were found as shown in the Table 2, Figure 3. Weak vision and abnormal refraction of eyes showed from 2 % (Elementary), 5 % ( Secondary) to 4 % (Elementary), 14 % (Secondary) in 1962 and 1984 respectively. In both sexes, the older the age of students the more weak vision and abnormal refraction of eyes had rapidly increased especially in over 15-year old. ii) Eye diseases (trachoma, others) showed from 2% to age of students the more diseases had students. 3) Ear, nose and pharynx Hearing disturbance, ear diseases (otitis mediae, others), nose (empyema, hypertrophy) and pharynx diseases were found as following 1) Hearing disturbance was found from 0.3%(Elementary), 1 %(Secondary) to 0.05 % (Elementary), 0.4 % (Secondary) in 1962 and 1984 respectively, however, recently the older the age of students the more had students. ii) Ear diseases showed from 1.7 % (Elementary) 1.0 % (Secondary) to 0.3 %(Elementary), 0.5%(Secondary) in 1962 and 1984 respectively. iii) In diseases of the nose and pharynx, tonsilitis showed from 2.5% (Elementary), 3.5 % (Secondary) to 1.8 % ( Elementary). 2.5% (Secondary) in 1962 and 1984 respectively. 4) Skin Infectious skin diseases and other skin diseases were found from 1.5% to 0.6% in 1962 am 1984 respectively. 5) Teeth Dental caries (in milk and permanent teeth) and otner oral diseases are shown from 12 % (Elementary), 8%(Secondary) to 75%( Elementary), 25% (Secondary) in 1962 and 1984 respectively. 6) Other defects and diseases A relatively higher morbidity was shown in the tubercular diseases, in anemia, and in heart diseases among the tuberculous diseases, nodular diseases, Pleurisy, heart diseases, anemia, beriberi, hernia, neurasthenia, speech difficulty, mental disorders, bone dysformity, motion difficulty of extremities. In both sexes, tuberculous diseases were found almost equally in both sexes and anemia in girls was more apparent than in boys. Trying to provide more effective health services in schools : i) A better and more effective physical examination should be carried out in each school and prior to the physical examination, the qualified daily observation of children by teacher should be keenly practiced. ii) According to the results of the required annual physical examination the leading cause of morbidity were dental caries, myopia, angina and otitis mediae and fore these diseases follow up should be carried out. iii) For prevention and treatment of diseases and defects health education for students in the classroom as well as to parents is urgently requested.

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The Development and Application of Practical Problem-based Lesson Plan on Consumer Choice of Genetically Modified Food - Focused on the 'Dietary Life' in High School Home Economics - (유전자변형식품 선택의 실천적문제중심 교수.학습 과정안 개발 및 적용 - 고등학교 식생활 영역 -)

  • Kang, Kyung-Hwa;Kim, Young-Nam
    • Journal of Korean Home Economics Education Association
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    • v.22 no.2
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    • pp.101-113
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    • 2010
  • The purpose of this study is to develop and evaluate the practical problem-based lesson plan for high school home economics class focusing on consumer choice of genetically modified(GM) food. The ADDIE instructional design model was applied. The first analysis step, practical problems were chosen based on the previous studies and the educational goal suggested in the 2007 revised curriculum. The next design and development steps, 4 hours of lesson plans were developed by reconstitution a chapter of Food Safety. Additional learning materials(17 student activity papers, 17 student reading materials, 3 teacher reading materials) were also developed. The implementation step, the lesson plans developed were applied to the S high school students in Bundang, Geyonggi-do. The last evaluation step, the perception change about GM food and the adequacy of teaching method were evaluated. As results, the studens' attitudes and minds towards the GM food were changed. The level of concern on GM food increased, and the ratio of students who would check whether GM food or not was increased. Also students showed high level of satisfaction on teaching method and materials.

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Analysis of Belief Types in Mathematics Teachers and their Students by Latent Class Analysis (잠재집단분석(LCA)에 의한 수학교사와 학생들의 신념유형 분석)

  • Kang, Sung Kwon;Hong, Jin-Kon
    • Communications of Mathematical Education
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    • v.34 no.1
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    • pp.17-39
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    • 2020
  • The purpose of this study is to analyze the mathematical beliefs of students and teachers by Latent Class Analysis(LCA). This study surveyed 60 teachers about beliefs of 'nature of mathematics', 'mathematic teaching', 'mathematical ability' and also asked 1850 students about beliefs of 'school mathematics', 'mathematic problem solving', 'mathematic learning' and 'mathematical self-concept'. Also, this study classified each student and teacher into a class that are in a similar response, analyzed the belief systems and built a profile of the classes. As a result, teachers were classified into three types of belief classes about 'nature of mathematics' and two types of belief classes about 'teaching mathematics' and 'mathematical ability' respectively. Also, students were classfied into three types of belief classes about 'self concept' and two types of classes about 'School Mathematics', 'Mathematics Problem Solving' and 'Mathematics Learning' respectively. This study classified the mathematics belief systems in which students were categorized into 9 categories and teachers into 7 categories by LCA. The belief categories analyzed through these inductive observations were found to have statistical validity. The latent class analysis(LCA) used in this study is a new way of inductively categorizing the mathematical beliefs of teachers and students. The belief analysis method(LCA) used in this study may be the basis for statistically analyzing the relationship between teachers' and students' beliefs.

A Study on Teaching Figures Based on van Hiele's Theory - Focused on the 4th Graders - (van Hiele의 학습단계에 따른 초등학교 4학년의 도형지도 방안연구)

  • Seo, Eun-Young;Chang, Hye-Won
    • Education of Primary School Mathematics
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    • v.13 no.2
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    • pp.85-97
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    • 2010
  • The purpose of this study is to develop a teaching program in consideration of the geometrical thinking levels of students to make a contribution to teaching figures effectively. To do this, we checked the geometrical thinking levels of fourth-graders, developed a teaching program based on van Hiele's theory, and investigated its effect on their geometrical thinking levels. The teaching program based on van Hiele's theory put emphasis on group member interaction and specific activities through offering various geometrical experiences. It contributed to actualizing activity-centered, student-oriented, inquiry-oriented and inductive instruction instead of sticking to expository, teacher-led and deductive instruction. And it consequently served to improving their geometrical thinking levels, even though some students didn't show any improvement and one student was rather degraded in that regard - but in the former case they made partial progress though there was little marked improvement, and in the latter case she needs to be considered in relation to her affective aspects above all. The findings of the study suggest that individual variances in thinking level should be recognized by teachers. Students who are at a lower level should be given easier tasks, and more challenging tasks should be assigned to those who are at an intermediate level in order for them to have a positive self-concept about mathematics learning and ultimately to foster their thinking levels.

Characteristics of and factors affecting on students' attitude toward mathematics (초.중.고등학교 학생의 수학에 대한 태도 특성 및 영향 요인)

  • Park, Sun-Hwa;Sang, Kyong-Ah
    • School Mathematics
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    • v.13 no.4
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    • pp.697-716
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    • 2011
  • It is known that Korean students performs very well in mathematics but show poor attitude toward mathematics. However, attitude itself is an important goal of education and it also promotes students learning. Therefore, it is important and urgent for us to find a way to improve students' attitude toward mathematics. In this article, we tried to examine characteristics of Korean students' attitude toward mathematics and identify student and school level factors affecting it. For this purpose, we analysed National Assessment of Educational Achievement (NAEA) data in 2007 when NAEA was conducted especially focused on mathematics. Main findings of this research are as follows. First, we found that attitude toward mathematics got lower as students advanced to higher grades. And among 3 sub-domains of attitude toward mathematics, interest and self-confidence were lower than perception of value of mathematics. Secondly, attitude toward mathematics was mainly affected by student background variables such as gender, achievement, participation in private tutoring, father's education level. And while school factors contributed relatively little to students' attitude toward mathematics, teacher's perception on value of school education was positively related with students' attitude in high schools and emphasis on assessment was negatively related with students' attitude in elementary schools.

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The Influence of Reflective Thinking Facilitation Program on Reflection Areas and Levels in Pre-Service Science Teachers' Teaching Practice (예비과학교사의 수업 실행에서 반성적 사고를 촉진하는 프로그램이 반성 분야와 반성 수준에 미치는 영향)

  • Kim, Hyun-Jung;Hong, Hun-Gi;Hong, Jee-Hye
    • Journal of The Korean Association For Science Education
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    • v.33 no.6
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    • pp.1087-1102
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    • 2013
  • The purpose of this study is to find out the influence of reflective thinking facilitation program on reflection areas and its levels that pre-service science teachers present in the class teaching practice during the student-teaching period. Seven pre-service science teachers participated in this study and only four pre-service science teachers among them were additionally trained with the reflective program. Reflections of pre-service science teachers were mostly shown on class management, including attention and motivation, reflection and improvement for teaching activities, and interactions. However, the understanding of the science curricula and their reconstruction, and advance notice about the next class were not mentioned in their reflections. Pre-service science teachers who participated in the additional reflective program have shown more frequent reflections than those who only participated in the traditional student-teaching program. Pre-service science teachers, not trained with the reflective program, mostly showed descriptive reflection. However, those who participated in the reflective program have shown higher levels of reflections such as dialogic as well as the descriptive reflection. Therefore, pre-education program, reflective journal-writings, and science teachers' assessments on class and their feedback seem to improve the frequency and level of reflection for the pre-service science teachers.

Analyzing Korean Pre-service Biology Teachers' Understanding of the Concept of Natural Selection in Comparison with Chinese, American, and German Biology Majors (중국, 미국, 독일의 생물전공자와 비교한 한국 생물예비교사의 자연선택개념 이해 수준 분석)

  • Ha, Minsu
    • Journal of The Korean Association For Science Education
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    • v.36 no.5
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    • pp.729-737
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    • 2016
  • Natural selection is the core idea of evolution that pre-service biology teachers need to understand to solve diverse biological problem. This study aims to investigate the level of Korean pre-service biology teachers' understanding of natural selection by comparing their knowledge with their Chinese, American, and German biology major undergraduate counterparts. In particular, this study focuses on two conceptual components of natural selection (i.e., ecology and genetics). This study used a total 1226 pre-service biology teachers and biology majors' data. The instrument measuring the understanding of natural selection concepts was Conceptual Inventory of Natural Selection, which consists of ten ecology concept items and ten genetics concept items. The Rasch model analysis, multivariate analysis of variance, and univariate analysis of variance were used for the statistical tests. The result reveals that the level of Korean pre-service biology teachers' understanding of natural selection were similar with Chinese undergraduates' understanding and significantly lower than American and German undergraduates.' In the first year student data, the level of genetics concept of Korean pre-service biology teachers were significantly lower than Chinese and German students. In the fourth year student data, the level of ecology concept of Korean pre-service biology teachers were significantly lower than American and German students. Based on these results, the ecology concept education and balanced natural selection concept education are discussed.

Analysis of Educational Situation in Environment Class at High School with View of Good Environment Class (좋은 환경 수업의 관점에서 본 고등학교 환경 수업 학습 상황 분석)

  • Ahn, Jae-Jung;Choi, Don-Hyung
    • Hwankyungkyoyuk
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    • v.23 no.4
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    • pp.1-14
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    • 2010
  • The purpose of this study is to find the meaning of the good class, and based on this, situation of environmental education in high school is researched. Through those above processes, desirable direction of the environment class is suggested. For this study, we are trying to reflect the characteristics of environmental education on the general good classes, and from this, the meaning of good environment class is known. Moreover, for this study, we choose environment classes from four high schools leading by environment major teacher. From those four classes, we analyzed these things: educational situation of environment class, teachers' interviews. All of these are for analyzing environment class with the view of good environmental class. A well-formed environment class manifests the features of environment education in all aspects of teaching and learning process, including learning objectives, learning materials, procedures, and evaluations. Furthermore, it should be 'student-centered' class in which active interaction among the learners or between the instructor and the students is considered most important. Students are not the passive receiver, but rather, they actively participate in the learning process by reorganizing the knowledge as they experience and become independent learners who are actively involved in the problem-solving process. In this way, we can generate a great deal of students' interest and motivation, which in turn makes the class interesting, enjoyable, full of energy and still effective. If there is the class reflecting the factors of environmental education above good class' ways, it will be the good environment class. In the current situation of environment class, the rate of student's class participation and study activity was low. This tendency is not too different between four groups except students' support to teachers. This result means that learners' will to participate in their classes actively is not high. Moreover, about 46.3% of students did not understand some parts of new knowledge and about the parts, students' solution was 'does nothing' and the rate was also so high. Teachers tried to make their class with considering students' interest, and focusing their learner's real life. However, learners are all general education high school students, so teachers have aversion about making their students heavy activities.

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