• Title/Summary/Keyword: Teaching and learning mathematics

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The Effect of CAI Program on the Learning Achievement in Mathematics -Focusing on the lesson statistics in the 3rd grade of middle school- (CAI 프로그램의 활용이 학업성취에 미치는 영향 - 중3 통계단원을 중심으로 -)

  • 이재국
    • Journal of the Korean School Mathematics Society
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    • v.3 no.2
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    • pp.123-131
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    • 2000
  • In order to educate future leaders of the new age, we should help students to increase their basic knowledge, thinking and problem solving ability. It is necessary that we should use multi-media, computer as well as old teaching-learning material to improve students' basic knowledge and to motivate their interest in mathematics in the small-sized Middle School situated on the agricultural and fishery village. In solving this problem, it is ultimately necessary that we should utilize CAI program on the learning achievement in mathematics for the students to understand basic concept, principle, law and to promote teaching-learning process considered on individual different abilities. Therefore, this study is on the effect of students' interest and learning achievement in mathematics when we develop CAI program focusing on the lesson statistics in the 3rd Grade Middle School Mathematics Textbook and explain the concept and principle of statistics through using exact and various techniques of computers

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The Effects of Self-regulated Learning Strategies Using WEB on students′ Academic Achievements and Learning Attitudes in the Middle school Mathematics. -Focused on the Chapter ″Function″ of the First Grade- (중학교 수학에서 WEB을 이용한 자기주도적 학습이 학생들의 학업성취도 및 학습태도에 미치는 영향 - 1학년 함수 단원을 중심으로 -)

  • 이덕호;이관희
    • Journal of the Korean School Mathematics Society
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    • v.4 no.2
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    • pp.75-84
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    • 2001
  • The purpose of this research is to promote the academic achievement motivation and improve problem solving ability in Mathematics. In addition I hope to explore a new teaching method and facilitate students interest in mathmatics. If the teachers utilize an Internet Web Page and exchang information, the interaction activities will allow them to collect and analyse a variety of data. As this teaching method assists students motivation to get the effects of self-regulated learning strategies of students using the internet and their academic achievements and learning attitudes can be explored. The information will be gathered after the students participate in classes which were taught through the Edunet Homepage and the Department of Mathematics Homepage of KongJu National University. The Internet pages focused on the "Function" chapter of the first grade text for students attending middle school. The students were divided into two groups, experimental and comparative. Each group is composed of three levels, high, middle, and low. In the post experimental phase, two tests were administered which measured achievement ability and the learning attitude of the students. The results of the tests were then compared and analyzed. The results were as follows: First, the study demonstrated that self-regulated Learning Starategies towards Academic Achievements and Learning Attitudes were more effective than traditional teaching methods. These methods were significantly effective in the middle level and low level groups. The study demonstrated little to no improvement in the high level groups

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A Study on Application of Teaching-Learning Program based on Constructivist Views for Mathematically gifted Students in Primary School (초등 영재 교육에서의 구성주의 교수.학습 모형 적용 연구 - 알고리즘 문제를 중심으로 -)

  • Choi, Keun-Bae;Kim, Hong-Seon
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.153-176
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    • 2007
  • The purpose of this paper is to analyze teaching-learning program which can be applied to mathematically gifted students in primary school, Our program is based on constructivist views on teaching and learning of mathematics. Mainly, we study the algorithmic thinking of mathematically gifted students in primary school in connection with the network problems; Eulerian graph problem, the minimum connector problem, and the shortest path problem, The above 3-subjects are not familiar with primary school mathematics, so that we adapt teaching-learning model based on the social constructivism. To achieve the purpose of this study, seventeen students in primary school participated in the study, and video type(observation) and student's mathematical note were used for collecting data while the students studied. The results of our study were summarized as follows: First, network problems based on teaching-learning model of constructivist views help students learn the algorithmic thinking. Second, the teaching-learning model based on constructivist views gives an opportunity of various mathematical thinking experience. Finally, the teaching-learning model based on constructivist views needs more the ability of teacher's research and the time of teaching for students than an ordinary teaching-learning model.

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Teaching-Learning Method for Plane Transformation Geometry with Mathematica (평면변환기하에 있어서 Mathematica를 이용한 교수-학습방법)

  • 김향숙
    • The Mathematical Education
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    • v.40 no.1
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    • pp.93-102
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    • 2001
  • The world we live in is called the age of information. Thus communication and computers are doing the central role in it. When one studies the mathematical problem, the use of tools such as computers, calculators and technology is available for all students, and then students are actively engaged in reasoning, communicating, problem solving, and making connections with mathematics, between mathematics and other disciplines. The use of technology extends to include computer algebra systems, spreadsheets, dynamic geometry software and the Internet and help active learning of students by analyzing data and realizing mathematical models visually. In this paper, we explain concepts of transformation, linear transformation, congruence transformation and homothety, and introduce interesting, meaningful and visual models for teaching of a plane transformation geomeoy which are obtained by using Mathematica. Moreover, this study will show how to visualize linear transformation for student's better understanding in teaching a plane transformation geometry in classroom. New development of these kinds of teaching-learning methods can simulate student's curiosity about mathematics and their interest. Therefore these models will give teachers the active teaching and also give students the successful loaming for obtaining the concept of linear transformation.

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Motivated Strategies for Learning of Prospective Elementary School Teachers (예비초등교사의 학습동기 전략에 관한 연구)

  • 김민경
    • Education of Primary School Mathematics
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    • v.6 no.2
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    • pp.55-64
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    • 2002
  • According to changing the society rapidly in the 21s1 century, the self-regulated learning ability is considered as an ability of which people should carry on their lives. The purpose of this study was to investigate prospective elementary school teachers in mathematics teaching method class in terms of the following areas: (1) the degree of their abilities shown the lower level factors of motivated strategies for learning such as self-efficacy, intrinsic value, anxiety, cognitive strategy use, and self-regulation (2) relations between factors of motivated strategies for loaming and performance of prospective elementary school teachers The results show that the prospective elementary school teachers showed above the mean value of the motivated strategies for learning and there are positive relations among lower level factors of motivated strategies fur learning except anxiety, positive relation between motivated strategies for learning and achievement. In order to help the prospective elementary school teacher to improve their motivated strategies fur learning in their elementary mathematics teaching method lecture, several methods such as mathematical connections to real world problem, history of mathematics and interview with mathematicians and application of feller's ARCS model to elementary mathematics education are suggested.

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A Study of the Effect on Mathematical Learning Achievement and Disposition in a Class Using Level Orientated Teaching Method (초등학생의 학급 내 수준별 수업을 통한 수학 학업성취도 및 수학적 성향 변화 연구)

  • Jung, Sang-Tae;Park, Jong-Seo
    • Journal of Elementary Mathematics Education in Korea
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    • v.13 no.2
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    • pp.193-210
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    • 2009
  • This research were to develop and apply an educational program for 6th grade students in mathematics by using level orientated teaching method and to make an analysis of their effects on students' mathematics learning achievements and mathematical disposition. Those purposes is following: First, we develop the level orientated teaching method that fits to the low level and high level students and analyze the effect on students' mathematics learning achievements. Second, we analyze the effect on students' mathematical disposition by using level orientated teaching method. The biggest problem of applying level orientated teaching method is that all the groups should do the meaningful activity while just one group is on process. So we tried to keep the proposition that level orientated teaching method should be helpful to both high and low level students. The duration of the research was about 8 weeks from march 2 to may 22 and the level orientated mathematics program consists in lesson 1 "a fraction and a decimal" to lesson 3 "The range of numbers". The results of this study are as follows : First, there was significant effect to the students, develop level orientated mathematics program and using that program. Second, there was an affirmative effect to the students about mathematical disposition using level orientated mathematics program. To sum up conclusion of this study, the level orientated mathematics program has an affirmative effect on mathematics learning achievements and mathematical disposition. We expect further research about level orientated teaching method and use effective level orientated teaching method widely.

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Mathematics teachers' knowledge and belief on the high school probability and statistics (수학교사의 확률과 통계에 대한 지식과 신념)

  • Kim, Won-Kyung;Moon, So-Young;Byun, Ji-Young
    • The Mathematical Education
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    • v.45 no.4 s.115
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    • pp.381-406
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    • 2006
  • This work aims to investigate mathematics teachers' knowledge and belief on the high school probability and statistics. For this aim, two research questions are estabilished as follows. (1) How is mathematics teachers' knowledge on the main contents of the high school probability and statistics in the 7th mathematics curriculum? (2) What is mathematics teachers' belief on the high school probability and statistics? Survey and interviews were carried out to answer the above research questions. Subjects of the survey were 2 7mathematics teachers who were answered to questionnaire. Among them, 3 volunteers were chosen by provinces for in-depth interview. Research findings in mathematics teacher's knowledge are as follows. Firstly, mathematics teachers do not have much of mathematical knowledge on the newly added and changed contents of the high school probability and statistics in the 7th mathematics curriculum. Secondly, mathematics teachers do not change their teaching-learning method for probability and statistics. Thirdly, many teachers think that the use of technology and reconstruction of the textbooks are required in teaching and learning of the high school probability and statistics. But, they stick on their own way. Research findings in mathematics teachers' belief are as follows. Firstly, many mathematics teachers view the nature of statistics as a branch of the applied mathematics and put the value of high school probability and statistics on the practical usefulness, Secondly, many mathematics teachers think that understanding concepts and improving problem solving ability are the best method of the teaching and learning. Thirdly, many mathematics teachers think that high school probability and statistics textbooks should cause motivations and interests in order not to give up studying probability and statistics. It is expected that the above findings can be used to change teachers' teaching and learning methods and to improve teachers training program.

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Educational Using A Technology In The Education Of Future Mathematics Teachers (예비 수학 교사 교육에서 공학적 도구의 교육적 활용)

  • Kim, Nam-Hee
    • Journal of Educational Research in Mathematics
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    • v.21 no.4
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    • pp.345-359
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    • 2011
  • In this research, we designed an educational activities of exploring mathematics programs in a course of mathematics education in teacher's college. We divided future mathematics teachers into 8 groups and suggested 8 mathematics programs to them. Each group explored one mathematics program. We asked to future mathematics teachers exploring some cases that use effectively a mathematics program in the teaching of school mathematics. In the process of an exploring, we designed some activities of teaching and learning. We provided opportunities of long-term exploration, group learning, presentations, exercises, reflections to mathematics teachers. As a result, future mathematics teachers acquired basic knowledge on the usage of mathematics programs in school mathematics textbook. In addition, their capabilities that are needed to explore mathematics programs have been enhanced. Also they had learned the teacher's positive attitude through the activities of teaching and learning.

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Perception and Change of the Values on Mathematics Learning by Fifth Graders Through the Teaching of a Master Teacher (수석교사의 수업에 따른 초등학교 5학년 학생들의 수학 학습 가치의 인식 및 변화 양상)

  • Pang, Jeong Suk;Yim, Min Jae
    • Journal of Elementary Mathematics Education in Korea
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    • v.23 no.4
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    • pp.405-435
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    • 2019
  • Despite the recent emphasis on value research in mathematics education along with the significance of values from a new perspective, there has been a lack of research on the values perceived by teachers and students in Korea. This paper analyzes how fifth-grade students would perceive the values of a master teacher with expertise in elementary mathematics education after her teaching of mathematics and whether their values on mathematics learning would change. According to the study, the students recognized that the master teacher valued understanding, preview-review, picture, problem, and reason in mathematics learning. Among these, the value of understanding was perceived as the core value. An analysis of the students' values on general mathematics learning and personal mathematics learning showed that preview and review were the most important before and after the master teachers' teaching. An analysis of the changes in the values of students showed the greatest change in the value of understanding. Instead of accepting the values of the master teacher as it were, students actively reconstructed and maintained them. Based on these results, this paper has drawn implications regarding the consideration of students' values in mathematics learning.

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Study on the ways of sharing the learning objectives presented by pre-service teachers in elementary mathematics classrooms (예비초등수학교사의 수업목표 공유 활동의 고찰)

  • Kwon, Sung-Yong
    • Communications of Mathematical Education
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    • v.25 no.1
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    • pp.221-243
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    • 2011
  • The purpose of this study is to investigate activities of sharing learning objectives in mathematics lesson and by doing that, to draw some conclusions on sharing learning objectives in elementary school mathematics lessons. To gather data, 82 pre-service teachers who participated in 4-week teaching practicum were asked to record their mathematics lesson and to transcribe their teaching activities. Specifically by analyzing the data, suggestions on how to share the learning objectives in elementary school mathematics were drawn.