• Title/Summary/Keyword: 수학적 변화

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Conceptions in Teaching and Learning of Secondary Pre-service Teachers (중등 수학 예비교사의 교수-학습 개념 연구)

  • Kwon, Na Young
    • Journal of the Korean School Mathematics Society
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    • v.17 no.3
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    • pp.321-335
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    • 2014
  • This study aimed to investigate beliefs of secondary pre-service teachers in mathematics. In particular, conceptions of teaching and learning were examined, For the purpose of this study, using an instrument, Teaching and Learning Conceptions Questionnaire, developed by Chan & Elliot(2004), a survey was conducted for 86 secondary mathematics pre-service teachers in Incheon area. The results showed that the mathematics pre-service teachers strongly agreed with the constructivist perspectives. In addition, compared to the juniors, the seniors responded more positive in the questions relative to the traditionalist view and the male students agreed more with the traditional conceptions, as comparing to the female students in this study. This study had limitations on the extent of the research site and participant. However, it would provide foundational information about pre-service teachers for teacher educators.

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An Investigation of Two Seventh Graders' Modification of their Multiplicative Reasoning for Solving Combinatorial Problems and their Reciprocal Interactions with Represented Symbols (중학교 1학년 학생들의 '경우의 수' 문제 해결과정에서 나타나는 표현기호와의 상호작용을 통한 곱셈추론 양식의 변화)

  • Shin, Jae-Hong;Lee, Joong-Kweon
    • School Mathematics
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    • v.11 no.3
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    • pp.351-368
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    • 2009
  • This study presents data from a year-long teaching experiment which illustrate how two seventh graders modified their multiplicative thinking and interacted with their representing symbols in the context of combinatorial problem situations. Damon was at the process of construction of recursively multiplicative thinking by modifying his multiplicative reasoning, but Carol appeared to remain at the stage of a binary multiplicative scheme. The two students' struggles with their representing symbols or represented symbols by the teacher show that even well-organized symbolic systems from teachers' perspective do not necessarily help students advance their mathematical capacity.

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Contribution of Oswald Veblen to AMS and its meaning in Korea (Oswald Veblen이 미국수학계에 미친 영향과 한국에서의 의미)

  • Lee, Sang-Gu;Ham, Yoon-Mee
    • Journal for History of Mathematics
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    • v.22 no.2
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    • pp.27-52
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    • 2009
  • This article discusses the contributions of the leader Oswald Veblen, who was the president of AMS during 1923-1924. In 2006, Korea ranked 12th in SCIE publications in mathematics, more than doubling its publications in less than 10 years, a successful model for a country with relatively short history of modern mathematical research. Now there are 192 four-year universities in Korea. Some 42 of these universities have Ph.D. granting graduate programs in mathematics and/or mathematical education in Korea. Rapid growth is observed over a broad spectrum including a phenomenal performance surge in International Mathematical Olympiad. Western mathematics was first introduced in Korea in the 17th century, but real significant mathematical contributions by Korean mathematicians in modern mathematics were not much known yet to the world. Surprisingly there is no Korean mathematician who could be found in MaC Tutor History Birthplace Map. We are at the time, to have a clear vision and leadership for the 21st century. Even with the above achievement, Korean mathematical community has had obstacles in funding. Many people thinks that mathematical research can be done without funding rather unlike other science subjects, even though they agree fundamental mathematical research is very important. We found that the experience of early American mathematical community can help us to give a vision and role model for Korean mathematical community. When we read the AMS Notice article 'The Vision, Insight, and Influence of Oswald Veblen' by Steve Batterson, it answers many of our questions on the development of American mathematics in early 20th century. We would like to share the story and analyze its meaning for the development of Korean Mathematics of 21st century.

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The Effects of a Mathematics History Lecture by a Mathematician on Elementary Mathematics Education (초등학생을 대상으로 한 '수학자 수학사 특강'의 학습효과)

  • Cha, In-Sook;Han, Jeong-Soon
    • Journal for History of Mathematics
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    • v.19 no.4
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    • pp.133-150
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    • 2006
  • This study is to investigate the effects of a mathematics history lecture on elementary students' math learning. Pre- and post-tests were done for 33 6th grade students before and after 3-units of mathematics history lecture by a mathematician. The results show that the lecture improved students' interests and confidence on math. Especially, the tests present a positive change in students' attitudes on math and results in an increased curiosity on and willingness to study math. This study shows a consistent result with previous studies of teaming effects of introducing mathematics history in math. This study also highlights that even 3-units of math history lecture can significantly improve students' attitude and belief on math learning. Given the positive effects of math history lecture on students' math loaming, it is implicated that math history be included in the formal elementary math curriculum and more participation of math history experts in math.learning processes is needed.

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Development of Teaching and Learning Materials for Elementary School Teachers to Foster Pedagogical Content Knowledge in Mathematics (초등 교사의 수학과 교수법적 내용 지식 정립을 위한 교수.학습 자료 개발)

  • Pang, Jeong-Suk;Kim, Sang-Hwa
    • Journal of the Korean School Mathematics Society
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    • v.10 no.1
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    • pp.129-148
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    • 2007
  • Recent reform movement in mathematics education has focused not only on the curriculum development but also on teachers' learning or professional development. Whereas various theoretical paradigms call for different programs of professional development for teachers, one of the common emphases is on the pedagogical content knowledge [PCK] which encompasses contents and methods to teach. Against this background, this study developed comprehensive instructional materials for the purpose of fostering PCK in mathematics for elementary school teachers with 17 essential learning themes such as fraction, plane geometry, and area. Each loaming theme was first summarized on the basis of literature reviews and surveys in terms of knowledge in mathematics contents, knowledge in teaching methods, and knowledge in students' mathematical understanding and learning. Each theme was then analyzed in detail on how it was represented in the national curriculum and its concomitant textbooks along with workbooks. Finally, this report included a reconstruction of one unit in textbooks per each learning theme, followed by teaching notes and suggestions from classroom implementation. This was intended for teachers to apply what they might loam from this material to their actual mathematics instruction. Given the page limit, this paper dealt only with the learning theme of ratio.

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Improvements and Enhancements to the Direction of Current Elementary Mathematics Textbooks (현행 초등 수학 교과서에 대한 개선점과 개선 방향)

  • Ahn, Byoung Gon
    • Journal of Elementary Mathematics Education in Korea
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    • v.19 no.3
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    • pp.289-304
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    • 2015
  • In this study, connections between the NURI curriculum for 5 years old children and the contents of teacher's manual books according to it and the contents of elementary 1st grade mathematics curriculum and textbooks was analyzed to find the implications that can help to link the two curricula in the development of kindergarten and elementary school mathematics curriculum. The five following implications could be obtained from the analysis. First, it is necessary to connect the contents of the NURI curriculum for 5 years old children which were completed in that curriculum like 'spatial relation'in geometric figure domain and 'data collection'in probability and statistics domain to the contents of the 1st grade curriculum. Second, in the case of the contents not connected between the NURI curriculum for 5 years old children and the contents of elementary 1st grade mathematics curriculum but connected between the NURI curriculum for 5 years old children and the contents of elementary 2nd ~6th grade mathematics curriculum, it is necessary to re-adjust the hierarchy based on one of the curricula. Third, it is necessary to check whether $\ll$K-teacher's manual book$\gg$ obey the NURI curriculum for 5 years old children or not. Fourth, it is necessary to review the related elements of the NURI curriculum for 5 years old children and elementary 2nd ~6th grade mathematics curriculum in [activity] in $\ll$K-teacher's manual book$\gg$. Fifth, it is necessary to handle the mathematics contents explicitly and systematically in [activity] in $\ll$K-teacher's manual book$\gg$.

Effects of Professional Development for Equity: Focusing on High School Students' Attitudes toward Mathematics (교육 형평성을 위한 고등학교 수학 교사 교육 시행 효과: 학생들의 수학 정의적 영역을 중심으로)

  • Kim, Yeon
    • School Mathematics
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    • v.19 no.4
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    • pp.751-774
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    • 2017
  • Having mathematics for everyone in terms of students' mathematics achievement and attitudes toward mathematics is challenging in high school in South Korea. To gain such purpose, teachers are supposed to have a considerable amount of knowledge and develop mathematical and pedagogical reasoning and insight because equity can be fulfilled in mathematics classroom when any student share their ideas and have mathematical discussions. As a part of a large project aimed to develop and enact professional development for equity and examine its effects and, finally, to propose the direction of professional development to help students cognitively and affectively balanced grow in mathematics, the current study briefly introduces how such professional development was designed and implemented. This study reports its effect based on the statistical analysis of students' responses for the three different surveys, which are parts of the National Assessment of Educational Achievement study, TIMSS Advanced, and the survey about classroom interaction. The data collected in all students in school whose three mathematics teachers had participated in the professional development for two years. The findings consistently indicate the strong and impressive growths in students' attitudes toward mathematics, which are statistically significant. Furthermore, their attitudes toward mathematics are also related to interactions in a mathematics classroom. Based on such results, this study claims expansion of professional development for equity.

Ohmic Thawing System을 이용한 해동기법이 냉동 돈육 품질에 미치는 영향

  • Seok, Byeong-Chang;Park, Jin-Gu;Kim, Yang-Gu;Park, Seong-Hui;Min, Sang-Gi
    • Proceedings of the Korean Society for Food Science of Animal Resources Conference
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    • 2004.10a
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    • pp.321-325
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    • 2004
  • 본 연구는 Ohmic heating system을 이용하여 돈육을 해동하여 해동에 의한 식육의 손상을 최소화하고 신선육과 유사한 해동육을 얻기 위해 최적 해동 속도에 대한 기초 자료를 마련하고자 실시하였다. 각각의 ohmic power intensity(AC, 0, 10, 20, 30, 40 Volt)에 따른 돈육의 해동속도는 기하학적으로 중심부 변화에서 가장 빠른 해동속도는 40V에서 1,582 cm/h로 산출되었고 OV의 0.307cm/h에 비하여 약 5배 정도 빠르게 나타났으며 power intensity가 증가할수록 해동속도가 증가하였다. 이와 같이 ohmic intensity(X: volt)와 해동속도(Y: cm/h)변화를 수학적으로 나타내었는데 다음과 같다; lnY=-0.8971+$1.0345{\cdot}X$ $R^2=0.9968$. 각각의 ohmic power와 비교에서 대조구인 신선육의 보수력이 가장 높았고 해동시료인 처리구간 비교에서 power가 상대적으로 높은 30V, 40V에서 보수력이 가장 좋게 나타났다. Cooking loss에서는 power intensity에 따른 유의적인 변화는 발견되지 않았다. Colo에서는 b-값의 경우 ohmic power intensity가 증가함에 따라 다소 감소하는 경향을 보여 주었다. 해동시 power intensity가 증가할수록 pH는 다소 낮아지는 경향을 보여주었다. 또한 육의 TBA가는 이와 반대로 ohmic thawing은 육의 TBA가를 증가시키는 요인으로 작용하였는데, power intensity에 따른 변화는 유의적인 차이를 보여주지 않았다. 그러나 VBN가에서는 신선육에 비해 해동육의 VBN은 증가하였지만 해동방법에 따른 차아는 발견되지 않았다.

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An investment on development direction of the mathematics subject classroom (수학 교과교실의 발전 방향 제안)

  • Lee, Chong-Hee;Park, Ji-Hyun
    • School Mathematics
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    • v.14 no.1
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    • pp.65-83
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    • 2012
  • The purpose of this study is to investigate development direction of a mathematics subject classroom. This study started with an analysis of previously conducted studies to investigate. After that, I selected and visited eight schools thatapplied the Mathematics subject classroom for interviews. Observations and interviews with math teachers were executed to figure out circumstances and operational status of the mathematics subject classroom. As the result of this research, the Mathematics subject classroom required various improvements in the facilities and the curriculum systems. Throughout this study, Isuggestedfive principles for teaching and learning. These principles are Creativity, Communication, Cooperation, Mathematical thinking and Problem solving. Furthermore, two subject classroom models for teaching and learning of mathematics - the cooperative learning room and the media room - were designed. These room required different resources and served distinct function.

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A study on the effect that five-minute tests influence low level students' improvement of their assessment in mathematics (수학 학습부진 학생의 수학 학습 성취도 향상을 위한 5분 테스트 활용의 효과)

  • Bae, Se-Hyeon;Park, Yeon-Yong;Lee, Heon-Soo
    • Journal of the Korean School Mathematics Society
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    • v.14 no.4
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    • pp.459-476
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    • 2011
  • In this study, as a teaching way of classes by achievement level, low level students have taken five-minute tests that could be efficient in remedial feedback, and we have investigated the students' improvements of their assessment in mathematics through each of the unit tests. The results show that the five-minute tests with low level classes helped them develop mathematics problem-solving skills and also form positive attitudes about mathematics. More studies of the various methods must be done so that low level students can develop their abilities to solve mathematical problems skillfully.

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