• Title/Summary/Keyword: content knowledge for teaching mathematics

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Analysis of Elementary Textbooks and Guidebook for Teacher regarding the Classification of Angles and Triangles in the Constructivist Perspective (구성주의 관점에서 각과 삼각형의 분류에 관한 초등 교과서 및 교사용지도서 분석)

  • Roh, Eun Hwan;Kang, Jeong Gi
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.313-330
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    • 2015
  • The classification is an important activity that is directly related to concept formation. Thus it will need to be made meaningful learning to classification through learner-centered teaching. But we doubts weather teaching and learning to the classification are reflected in the constructivist philosophy of 'learner-centered' well or not. The purpose of this study was to analyze critically the content of elementary textbooks and guidebook for teachers relating to the classification of angles and triangles in terms of constructivism. As a result, there is a problem in the classification of angles that are not provided a reasonable chance to set criteria by agreement of the communities. There is a problem in the classification of triangles that has the characteristics of radical development in terms of diversity. In addition, response of students was predicted like anyone who already acquired knowledge. And it has the shortcomings that the opportunity to have a choice and a discussion to hierarchical and partition classification are not provided. The followings are proposed based on such features; faithful reflection of 'Learner-centered' principle, careful prediction of student response, teaching that focus on process than results.

Development of remedial learning program for vocational high school students focused on the area of change and relation (특성화고등학교 학생을 위한 수학과 진단평가 및 보정학습 자료 개발 연구 - '변화와 관계' 영역을 중심으로-)

  • Choe, Seung-Hyun;Hwang, Hye Jeang;Geum Cheon, Nam
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.409-434
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    • 2013
  • The mathematical ability is an essential element for achieving professional competencies and for enhancing application ability in a vocational world and exploring its experiences. In this aspect, for vocational high school students, it is an important and urgent issue to develop remedial learning programs for developing mathematical basic and application ability. In particular, the program is developed based on the individual achievement level, focused on a mathematical basic ability to be applied efficiently in a vocational world. Because of this reason, in this study, the program is comprised of two phases; one is diagnosis test and the other is remedial teaching and learning materials. Then, diagnosis test includes three test; I) level testing evaluation for selecting the subject of remedial learning, ii) pre-test for deciding on which area and level of the materials when students begin to study, and iii) post-test for confirming the learning status is satisfied and the possibility of next step(level) or the other area of the materials. To accomplish this, this study tried to devise an efficient remedial learning system. Based on the system, this study developed remedial learning programs on the four areas of number and quantity, change and relation, uncertain thing, and figure and shape in the middle school level. In particular, this program is comprised of two types of knowledge. One is K-knowledge which is an essential knowledge to achieve a basic mathematical ability. The other is C-knowledge which is the advanced knowledge required to apply efficiently in a vocational world. This paper deals with the content mentioned above, but examples of the materials is shown focused on the area of change and relation.

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A Study on the Realities and Recognition of Integrated Science Essay in High School (고등학교 통합과학논술교육의 실태 및 인식에 관한 연구)

  • Park, Jong-Un;Kang, Beo-Deul
    • Journal of Fisheries and Marine Sciences Education
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    • v.25 no.1
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    • pp.198-210
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    • 2013
  • The purpose of this study investigates high school students' recognition and realities on the integrated science essay and is to suggest desirable direction of integrated science essay of how eduction. To this end, this paper was a questionnaire developed for use, it consists of the status, the writing skills and recognition of integrated science essay. Firstly, all grade students recognize the interest in integrated science essay class, but the need for third grade boys urgently was feeling. Second, STEAM class as a whole than average preference was. Third, integrated science essay was the most relevant, then was mathematics, languages, philosophy ethics, and social. Fourth, integrated science essay class with boys than girls in grade 1, science essay writing, reading science-related essay books, grammar, knowledge of the science and philosophy of science lessons, classes STEAM, read commentary essay reference all on the item, the higher affinity. Currently being implemented in integrated science essay test compared to the first, team teaching approach in schools project under one class teaches students how many teachers should be made. Second, it would require modifications of course content tailored to the preferences of female preference for science higher grade female students to disappear.

An Analysis of the PCK of Teachers and Their Educational Practice about Division of Decimals (소수 나눗셈에 대한 교사의 PCK와 실제 수업의 분석)

  • Kim, Bang-Jin;Ryu, Sung-Rim
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.3
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    • pp.533-557
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    • 2011
  • The purpose of this study was to understand PCK to improve professionalism of teachers and derive implications about proper teachings methods. For achieving these research purposes, different PCK and teaching methods in class of three teachers(A, B, C) were compared and analyzed targeting division of decimals for 6th grade. For this study, criteria of PCK analysis of teachers was set, PCK questionnaires were produced and distributed, teachers had interviews, PCK of teachers were analyzed, division of decimals class for 6th grade was observed and analyzed, and PCK of teachers and their classes were compared. The implications deriving from comparative analyzing PCK and classes are as follows. First of all, there was a close relation between PCK and classes, leading to a need for efforts of increasing PCK of teachers in every field in order to realize effective classes. Secondly, self study and in-service training are needed to enhance PCK of teachers. Thirdly, more of expertises and materials have to be provided on the instruction manual for teachers.

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Pre-Service Teachers' Understanding of Radian (예비교사의 라디안에 대한 이해)

  • Kang, Hyangim;Choi, Eun Ah
    • School Mathematics
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    • v.17 no.2
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    • pp.309-329
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    • 2015
  • This study is to provide didactical implications for teaching and learning of radian through a analysis of investigation result about pre-service teachers' understanding of radian. The results of this study are as follows. First, pre-service teachers understood the radian as ${\frac{180^{\circ}}{\pi}}$, rather than as the definition. Secondly, the definition style of radian affected the problem solving strategy for the measurement of the angle. Thirdly, pre-service teachers had insufficient content knowledge about properties of measurement as a pure number of radian. Lastly, They failed to describe the usefulness of circular measure. We suggested the definition of radian in textbooks should be changed from ${\frac{180^{\circ}}{\pi}}$ to mathematical definition of radian. And the general angle should be stated as the reason why the domain of trigonometric function is real numbers.

An Analysis of Difficulties of Teachers and Students in Class on Weight (무게 단원 수업에서 겪는 교사와 학생의 어려움 분석)

  • Park, Joonhyeong;Jhun, Youngseok
    • Journal of The Korean Association For Science Education
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    • v.34 no.3
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    • pp.295-301
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    • 2014
  • The purpose of this study is to investigate the difficulties of teachers and students on the unit about 'measuring weight.' In this research, we have acquired data about teachers through survey, interview, and self-reflection journals, at the same time we have collected information on the students through survey, assessment test, and interview. We have extracted the difficulties from analysis with constant comparison method. In addition, we have analysed the curriculum of science and mathematics to know the leaning sequence. The analysis had been checked up by experts in science education. The result of the study is as follows: The difficulties of teachers are from the lack of teachers' descriptive knowledge, disorder of conceptual hierarchy in the curriculum, poor experimental instruments, and low psychomotor skill of students. The difficulties of students are from common misconceptions, opaque concepts, lack of manipulation skill, insufficiency of mathematical ability, difficulty of application of principles to the real situation, and lack of problem-solving ability. In addition, teachers have recognized that students face more difficulties in experiment class, while students think that they face more difficulties in conceptual understanding class.

Design and development of SCORM based e-Learning contents about Mathematics for the KERIS' Cyber Home Education System (KERIS의 사이버가정학습 시스템에 적합한 SCORM기반 수학과 e-Learning 컨텐츠 설계 및 개발)

  • Lee Hye-Gyung;Kim Hyang-Sook
    • Communications of Mathematical Education
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    • v.20 no.3 s.27
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    • pp.425-441
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    • 2006
  • Entering upon 21th, the internet which bring the digital era, are changing the paradigm of education and cultivating creative and challenging person, which is the core of competitive power in knowledge-information society, is more emphasized than ever. To meet the needs of the present times, it has been concentrating its effort to improve learning-environment using e-Learning in the field of teaching. E-schoolbooks that were introduced recently by way of showing an example are representative case of this intention. Though many e-learning contents are being developed, the more speedily a society grow, the shorter the life of contents are. Moreover, the contents developed are impossible to use directly for tele-education system, so standard types adjusted for various kind of system are showing up. Among them the leading standard type is SCORM(Sharable Content Object Reference Medel) made in ADL(Advanced Distributed Learning) Corporation. The KERIS' Cyber Home Education System adopted this and is using it. So, in this study, we set the goal at designing and developing an e-learning contents and an experiment-focused mathematics that suit the KERIS' Cyber Home Education System on the basis of SCORM.

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An analysis of Earth Science Items and Achievement in TIMSS 2003 (TIMSS 2003 지구과학 영역 문항 및 성취도 분석)

  • Kwak, Young-Sun;Jeong, Eun-Young
    • Journal of the Korean earth science society
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    • v.28 no.4
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    • pp.405-414
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    • 2007
  • This study examined students' achievement of Earth science in the Trends in International Mathematics and Science Study (TIMSS) that was conducted with 46 participating countries in 2003 and analyzed average percent-correct items for Earth science were analyzed in terms of subcategory, item type and cognitive domain. In addition, items showing a gender difference and a big difference in the test scores of Korean and international students were analyzed. Korean students performed higher than the international average, especially in the astronomy-related topic and in the cognitive domain of 'reasoning and analysis'. In an analysis of the five items that Korean students scored lower than the international average, Korean students performed not so well in demonstrating what they understood with drawings and writings. Korean female students showed a difficulty more than male students did in multiple-choice items that asked recalling of factual knowledge and demonstrated lack of confidence in the items that they have not learned yet. Based on the result content organization of Earth science curriculum and ways to improve teaching and loaming methods were recommended.