• Title/Summary/Keyword: mathematics lessons

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An Analysis of Novice Teachers' Specialized Content Knowledge for Teaching in High School Calculus Lessons (고등학교 미적분 수업에서 나타나는 초임교사의 교수를 위한 전문화된 수학 내용 지식(SCKT))

  • Koh, Hee Jeong;Choi-Koh, Sang Sook
    • Journal of the Korean School Mathematics Society
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    • v.16 no.1
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    • pp.157-185
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    • 2013
  • This study was to investigate novice teachers' Specialized Content Knowledge for Teaching in High School Calculus Lessons. The lessons of two novice teachers in Kyunggi Do were observed from July, 2011 to Feb. 2012. All observed lessons were audeotaped and transcribed into word files. Their calculus lessons were analyzed into three kinds of knowledge consisting of SCKT. Their SCKT just copied the contents of the textbook and other additional SCKT were not found for teaching. Even though students asked a question that they did not understand, the teacher just repeated the previous contents that already he used. But this study included possible contents of SCKT within the areas these teachers covered so that teachers in school may use for teaching of Calculus. The novice teacher do not have sufficient experience, the program of the college of education and the contents of the teacher certificate-examination should include multi-dimensional approaches in SCKT to pre-service teachers in order to raise better specialized teachers in mathematics.

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A study on didactic transposition of mathematics textbooks and lessons in Korea and the U.S. (한국과 미국의 수학 교과서와 수업에 나타난 교수학적 변환에 대한 연구)

  • Park, Kyungmee
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.459-478
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    • 2013
  • Didactic transposition refers to an adaptive treatment of mathematical knowledge into knowledge to be taught. This study intends to investigate how mathematical knowledge was modified in mathematics textbooks and lessons. This study identified examples of didactic transposition in mathematics textbooks and lessons in Korea and those in the U.S., The examples identified were FOIL method, trigonometry using s, c, t in writing style, order of operations(PEMDAS), area of a circle and circumference, order of prefixes in the metric system, trigonometry(SOH, CAH, TOA), operations on integer, and regular polyhedra. These examples were classified into the two categories, one for mnemonics, and one for concreteness and intuitiveness. Then a survey was conducted for in-service teachers in Korea and those in the U.S. to evaluate the appropriateness and the necessity of didactic transposition. Lastly, the potential didactic phenomena, meta-cognitive shift which may occur with these examples were discussed.

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Didactical Meaning of using History of mathematics in Teaching and Learning Mathematics (수학과 교수-학습에서 수학사 활용에 교육적 함의: 수월성 교육을 중심으로 한 미적분 지도의 예)

  • Han, Kyeong-Hye
    • Journal for History of Mathematics
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    • v.19 no.4
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    • pp.31-62
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    • 2006
  • In this article, the theoretical basis of applying mathematical his tory in lessons is inquired in various educational aspects. It also covers the psychological genetic principle, mainly concerning the childish development and states that it has to be compatible with the historico-genetic principle, which is suggested mainly concerning the development of data. In addition, it evolves the arguments about the meaning of mathematical history in math lessons based on the mentioned aspects besides that in ordinary math lessons. Next, the link between the apply of mathematical history and education for gifted children is examined. Last, cases of mathematic history applied to mathematic education is suggested mainly concerning the understanding of differential concepts.

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Preservice teacher's understanding of the intention to use the artificial intelligence program 'Knock-Knock! Mathematics Expedition' in mathematics lesson: Focusing on self-efficacy, artificial intelligence anxiety, and technology acceptance model (수학 수업에서 예비교사의 인공지능 프로그램 '똑똑! 수학 탐험대' 사용 의도 이해: 자기효능감과 인공지능 불안, 기술수용모델을 중심으로)

  • Son, Taekwon
    • The Mathematical Education
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    • v.62 no.3
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    • pp.401-416
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    • 2023
  • This study systematically examined the influence of preservice teachers' self-efficacy and AI anxiety, on the intention to use AI programs 'knock-knock! mathematics expedition' in mathematics lessons based on a technology acceptance model. The research model was established with variables including self-efficacy, AI anxiety, perceived ease of use, perceived usefulness, and intention of use from 254 pre-service teachers. The structural relationships and direct and indirect effects between these variables were examined through structural equation modeling. The results indicated that self-efficacy significantly affected perceived ease of use, perceived usefulness, and intention to use. In contrast, AI anxiety did not significantly influence perceived ease of use and perceived usefulness. Perceived ease of use significantly affected perceived usefulness and intention to use and perceived usefulness significantly affected intention to use. The findings offer insights and strategies for encouraging the use of 'knock-knock! mathematics expedition' by preservice teachers in mathematics lessons.

Lessons from history

  • Walters, K.
    • Korea-Australia Rheology Journal
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    • v.11 no.4
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    • pp.265-268
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    • 1999
  • The main events in the historical development of Rheology are traced and particular attention is paid to the leading players, the controversies, the priority disputes and the nomenclature disagreements. Some of the lessons to be learned from the past are then highlighted and a positive assessment is given of the prospects for rheological research in the next millennium

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Analysis of Korean Mathematics Class Organization and Teacher's Approach and Activities: Focused on the Lessons from Learner's Perspective Study (한국 수학 수업의 조직 및 교수 활동 분석: LPS(Learner's Perspective Study) 수업 자료를 중심으로)

  • Park, Kyung-Mee
    • Journal of Educational Research in Mathematics
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    • v.17 no.2
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    • pp.127-145
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    • 2007
  • There have been several international lesson studies such as TIMSS Video Study and Learner's Perspective Study. According to the TIMSS Video Study report, within differences found in the lessons in each country is much less than the between differences found in the lessons across countries. This means that each country has its own way of teaching, so called 'national script'. On the contrary, LPS researchers are skeptical about the existence of 'national script' since significant differences are identified within the lessons conducted by the same teacher. The purpose of this study is to analyze the LPS Korean data in terms of class organization and teacher's approach and activities. The categories of class organization are classwork, small group seatwork, and individual seatwork, and the those of teacher's approach and activities are exploratory, directive, summarization, exercises and practice, and assigning homework. Ten lessons were videotaped from two Korean schools respectively, thus altogether twenty lessons were recorded and analyzed. Each lesson shows unique class approach and teacher's approach and activities, however the average of each category in class organization and teacher's approach and activities for the two schools are very similar. This result supports the TIMSS Video Study in the regard that there is a commonality among the lessons within the country, but also confirms the LPS result that it is difficult to assume 'national script'. This study is a preliminary investigation into the LPS Korean data, and the further in-depth interpretation of LPS lessons will be followed.

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Development of Lesson Plan based on Storytelling and Searched the Possibility of Application (스토리텔링 기반의 교수-학습 과정안 구안 및 현장적용 가능성 탐색 - 고등학교 수학과 집합단원을 중심으로 -)

  • Kang, Han-Kyun;Kim, Hoy-Yong;Kim, Du-Gyu
    • Journal of Fisheries and Marine Sciences Education
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    • v.23 no.2
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    • pp.302-318
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    • 2011
  • The object of this study is to provide easily-understandable mathematics class to highschool students, who usually take no interest in mathematics, by apply teaching strategy based on storytelling to real lessons. The approaching methods for the mathematics education are emphasizing the mathematical education during making storytelling-studying plans, inducing the interest of the students by applying the mathematical situations in the story. The effects of the storytelling such as induction of the interest, persistency, perception of the practicality, smooth communication between teachers and students coincides with the way national mathematical education orients. This study contains the definition of the storytelling based on education, and applicability to the students, and application to the real lessons, and verification of the effects by focus-group interview with the students and observing teachers. I made the lesson plan based on storytelling for achievements to the object of the highschool mathematical study, and searched the best way to apply the lesson plan to the real lessons. I studied designing lesson strategy based on dissertations and books and reports directly related this study, and did focus-group interview to find advantages and disadvantages of the strategy. And finally I could make the well-applicable lesson plan.

The Effects of Lessons Using Reading Materials on Mathematical Communication, Disposition and Attitudes (읽기 자료를 활용한 수업에서 나타난 수학적 의사소통과 수학적 성향 및 태도 분석)

  • Kim, Su-Mi;Shin, In-Sun
    • The Mathematical Education
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    • v.49 no.4
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    • pp.463-488
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    • 2010
  • The purpose of this study was providing implications in teaching and learning activities to vitalize mathematical communication and to raise positive attitudes about mathematics. We analyzed mathematical communication, disposition and attitudes of the students who had lower mathematical achievement rather than that of Korean language in class using reading materials and strategies. We found that teaching-learning activities using the reading materials and strategies let the low achievers in mathematics communicate more about mathematical notions and problem-solving process actively. The activities triggered interests and attention of mathematics and self-study. In addition, the lessons with reading materials and strategies aroused confidence, will and responsibility to mathematics learning to the students. They made the learners notice mathematics' values and roles and gave the opportunity of reflection about students' learning processes. As a result, the teaching-learning using reading materials and strategies should be developed and accomplished actively in classroom to turn mathematical inclination and attitudes of the students who had had negative inclination and attitudes to mathematics into those of positive and to vitalize mathematical communication to the lower achievers in mathematics.

An Analysis on the Perceptions of Creativity in Mathematics of Preservice Elementary School Teachers (초등예비교사의 수학 창의성에 대한 인식 분석)

  • Park, Mangoo
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.1
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    • pp.81-105
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    • 2015
  • The purpose of this study was to analyze the perceptions of creativity in mathematics of preservice elementary school teachers. Creativity in Mathematics is one of the most important components in mathematics teaching and learning, which has been emphasized in the Principles and Standards for School Mathematics and the 2009 Revised Mathematics Curriculum. For this study, the researcher analyzed reports of creativity in mathematics in mathematics lessons from the perspectives of 55 preservice elementary school teachers. The preservice teachers observed 55 mathematics lessons focusing on creativity in mathematics during their two-week-student-teaching period. The results showed the followings. First, the preservice teachers had a narrow perceptions on creativity in mathematics. Second, observational experiences of mathematics lessons led the preservice teachers to reconsideration of creativity in mathematics. Third, the preservice teachers provided a various strategies to enhance students' creativity in mathematics. The researcher suggested the followings. First, definitions and practices of creativity in mathematics should be included in the teacher education programs. Second, mathematics textbooks should include creativity in mathematics in a sophisticated manner. Third, creativity-rich materials should be developed and distributed to teachers. Finally, well-designed teacher training programs should be necessary.

Analysis of Teaching Practices of Mathematics Teachers from the Perspective of TPACK (수학교사의 테크놀로지 교수 내용 지식(TPACK) 관점에서 본 수업 실제 분석)

  • Lee, Da-Hee;Whang, Woo-Hyung
    • Journal of the Korean School Mathematics Society
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    • v.21 no.4
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    • pp.343-376
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    • 2018
  • The purpose of this study is to compare and analyze the perceptions of TPACK for mathematics teachers who practice the technology-using lessons. In addition, by looking at the part where the perception is expressed in the actual class and the part where the difference of recognition can be revealed, it is possible to provide the direction to teachers who want to practice the technology-using lessons in the future. To do this, two mathematics teachers were selected using purposeful sampling. And we conducted research study and interview in order to analyze the characteristics of the teacher's general background and TPACK recognition, and we analyzed the video, the class materials, and the interview contents for teaching practices from the perspective of TPACK. As a result, the two mathematics teachers practicing the technology-using lessons were connected with the actual class situation focusing on the sub-knowledges of TPACK recognizes as having a lot of them. In addition, technology-based lessons were able to confirm that the functional capabilities of technology alone were not sufficient conditions to lead effective instruction. Finally, teaching method using technology has been confirmed that experience-based field practice can be more important than simply knowing mathematics content, technology, teaching method. Based on the results of this study, it is possible not only to provide methodological guidance to teachers who practice the technology-based instruction, but also to suggest the direction of TPACK research or the development of teacher training program in the future.