• Title/Summary/Keyword: the Improvement of Teaching Mathematics

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Pre-service teachers' eliciting student thinking about a long division algorithm: Approximation of teaching via digital simulation (나눗셈 알고리즘에 대한 학생 사고를 예비교사가 도출하기 : 디지털 시뮬레이션을 통해 가르치는 것에 근접하기)

  • Kwon, Minsung;Pang, JeongSuk
    • The Mathematical Education
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    • v.59 no.3
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    • pp.271-294
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    • 2020
  • The purpose of this study was to explore the possibility of digital simulation by which pre-service teachers (PSTs) can approximate the core teaching practice of eliciting student thinking. This study examined PSTs' questions to elicit student thinking, their use of "pause" session and peer feedback, and their reflections on doing a digital simulation. We analyzed a two-hour digital simulation session with 13 PSTs who enrolled in the elementary mathematics methods course. The results showed that PSTs shifted their general questions to more content-specific questions throughout the simulation and made a quick transition to comparing students' strategies. The number of lead PST-initiated "pause" ranged one to four times for various reasons. Their peer-coaches did not voluntarily "pause" the simulation session but actively shared what they noticed from the student work samples and suggested the next teaching moves. Without utilizing the pause session, the dramatic improvement of questioning was not observed. Even though the PSTs felt overwhelmed with interacting with the student-avatars in real-time, they highlighted the benefits of simulations, appreciated the opportunity to learn the core teaching practice, and viewed this digital simulation as "real" and "authentic" experience. The findings of this study provide implications for re-designing a practice-based teacher education program.

An Analysis and Study for the Math Disliking Tendency of the Australian Students -Compare to the Students of Middle School of Korea- (호주 학생들의 수학 기피성향 분석 연구 -우리나라 중학교 학생과의 비교-)

  • 박기양
    • The Mathematical Education
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    • v.42 no.3
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    • pp.295-302
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    • 2003
  • The purpose of this study is to make more reliable researches on the tendency of shirking from the mathematics by including those of the students in the other country, and there are a series of researches such as 'math-camp to raise the mathematical tendency of the students who make little progress in the study', 'establishment of factors causing the shirking tendency from the mathematics and development of the analyzing instruments for it' and 'study on the preference to each category of the school mathematics.' For this purpose, I used a test developed by the shirking tendency research team. I compared the average score and standard deviation between the Korean and the Australian students. As for the average score, that of the Australian elementary school students is about one point higher than the Korean students, and there was no remarkable difference in the deviation. Comparing the math-shirking tendency of the two groups, they show higher shirking tendency in the aspects of emotional and mathematical recognition that belong to the psychological and environmental sphere. And, as for an extent of association in difficulties according to each school grades, its degree of the Australian students is comparatively lower than that of the Korean students, therefore, the shirking tendency of the Australian students is intermediate level whereas that of the Korean students is the lowest. They show us a peculiar result in teacher factor. It is noteworthy in that the Korean students show a positive reaction in that factor, however, the Australian students show a comparatively weak reaction. It might be caused by a cultural difference. I also have compared the accumulated percentage according to each shirking tendency factors. It will not only be very efficient for teachers to establish a teaching plan but also a good data to understand the shirking tendency of each student. This will be a very good data for the planners of teaching policy to remedy the causes of shirking tendency. And, it will also be used effectively to write a new textbook. It has been uncommon that a psychological test is used in the research for the improvement of teaching and learning mathematics. In this aspect, I am sure that this study including the preceding research will be a good in studying the shirking tendency factors by using a psychological test. I believe that this research will be a help to grasp the outline of the shirking tendency and I will have to try continuously to make it be a reasonable and reliable study.

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An Analysis of Mathematical Modeling Process and Mathematical Reasoning Ability by Group Organization Method (모둠 구성에 따른 수학적 모델링 과정 수행 및 수학적 추론 능력 분석)

  • An, IhnKyoung;Oh, Youngyoul
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.497-516
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    • 2018
  • The purpose of this study is to compare the process of mathematical modeling in mathematical modeling class according to group organization, and to investigate whether it shows improvement in mathematical reasoning ability. A total of 24 classes with 3 mathematical modeling activities were designed to investigate the research problem. The result of this study showed that the heterogeneous groups performed better than the homogeneous groups in terms of both the performance ability of mathematical modeling and mathematical reasoning ability. This study implies that, with respect to group design for applying mathematical modeling in teaching mathematics, heterogeneous group design would be more efficient than homogeneous group design.

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An Analysis of Strengths and Weaknesses in the Study of Elementary Mathematics Lessons via Teacher Learning Community (교사학습공동체를 기반으로 한 초등학교 수학 수업연구의 긍정적인 측면과 한계점 분석)

  • Jin, Sunwoo;Pang, JeongSuk
    • Education of Primary School Mathematics
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    • v.17 no.3
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    • pp.189-203
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    • 2014
  • The purpose of this study was to analyze the strengths and weaknesses resulting from a study of elementary mathematics lessons among in-service teachers and to discuss implications for the direction of improvement of the study on elementary mathematics lessons based on teacher learning community. The results of this study showed that the study on elementary mathematics lessons based on teacher learning community improved teacher knowledge related to teaching mathematics, enhanced teacher's accomplishment and self-esteem, made it possible for participant teachers to teach one another, created atmosphere in which teachers investigated instruction via sustainable and systematic lesson study. However, some limitations were noticed such as regulations by the social norms of the teacher learning community, the influence of an expert teacher, teachers' unprofessional decision making, and lack of systematic evaluation and reflection on lessons. Based on these results, this paper closes with critical implications to enhance teacher learning community.

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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A Study on the Development of Professional Learning Community in Mathematics Based on the Collaboration with University and Its Affiliated Elementary School (대학과 협력한 초등수학 교사학습공동체의 발달 과정에 관한 연구)

  • Kim, Nam Gyun
    • The Mathematical Education
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    • v.56 no.1
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    • pp.119-130
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    • 2017
  • The purpose of this study is to explain the long term growth and development of elementary teachers' Professional Learning Communities(PLC) about mathematics implemented on an institutional basis. Especially, it is meaningful to analyze and present the development process and characteristics of PLC, which was started by the basis on the collaboration of a National University of Education and its affiliated elementary school. In this study, PLC activities during three years were analyzed according to the capacities and dimensions of a professional learning community. The developmental capacity of the PLC analyzed in this study can be summarized as follows. In the first year, development of organizational competence in terms of capacity, resources, structure, and system of exchanges was the main factor in personal competence, and the development of individual competence began to share collective learning and practice. In the second year, personal exchanges were active in all the topics of activities, and personal level competence was activated such that more activities of critical knowledge formation were performed on an individual level. On the basis of the development of the individual level formed in the second, individual competence and organizational capacity developed. Factors that have influenced the development of capacities of PLC include: disclosure of activities outside the community, participation in outsiders, provision of procedures to share equal participation and leadership, voluntary and critical participation of teachers, improvement of mathematics teaching methods, sharing themes and visions.

An Analysis of Elementary School Teachers' Educational Needs on Designing Interactions for Online Mathematics Lessons (온라인 수학 수업에서 상호작용 설계에 대한 초등교사의 교육요구도 분석)

  • Cho, Mi Kyung;Kim, Seyoung
    • Education of Primary School Mathematics
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    • v.25 no.1
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    • pp.19-41
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    • 2022
  • Online classes have become one of the general teaching and learning method in elementary education, and elementary school teachers are essentially required to design and implement online math classes that reflect the characteristics of online environment and the specificity of the subject. The qualitative improvement of online mathematics lessons can start with examining what difficulties teachers actually have in enacting the online lessons, and this study focused on their educational needs by examining the degree to which elementary school teachers perceive and implement in terms of designing online interactions. The result showed that teacher education on Learner-Content Interaction (LC) and Learner-Learner Interaction (LL) was necessary for elementary school teachers designing online mathematics lessons, and the educational needs of detailed items of interactions were confirmed. Furthermore, it was found that there was a difference in educational needs for the types of online interactions according to the career life cycle of elementary school teachers. The instructional design strategies for online interactions in online mathematics lessons and implications for teacher education necessary for elementary school teachers were derived from the result.

For the Reflective Practice of Math Classes : Case Study on the Learning Community of Math Teachers in a School (수학 수업의 성찰적 실천을 위하여 : 학교 안 수학교사 학습공동체 운영 사례 연구)

  • Oh, Taek-Keun
    • School Mathematics
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    • v.18 no.1
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    • pp.105-126
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    • 2016
  • Math classes has been regarded as an independent area of a teacher and his/her students of a particular class. In Recent discussions about the professional development of teachers, for the improvement of practices, the point of view of that the community of teachers must work together is spreading. What are the considerations in organization and operation of learning communities for professional development of teachers? In this study, we analyzed the case of the learning community of math teachers in a Science Academy for the purpose of improving math classes to promote the participation of learners. Research results show that teachers share the principles and goals of mathematics teaching through the learning community. Also, through participation in learning communities, the members were practicing the lessons improved by reflection on the lessons of his/her and their colleagues. These results provide implication that it is important to provide opportunities for objectifying his/her classes through the learning community for a substantial improvement in math classes.

The Effects of Problem Posing Program through Structure-Centered Cooperative Learning on Mathematics Learning Achievements and Mathematical Disposition (구조중심 협동학습을 통한 문제 만들기 학습이 수학학업성취도 및 수학적 성향에 미치는 효과)

  • Yun, Mi-Ran;Park, Jong-Seo
    • Journal of Elementary Mathematics Education in Korea
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    • v.12 no.2
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    • pp.101-124
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    • 2008
  • The purpose of this study is to test if problem posing based on structural approach cooperative learning has a positive effect on mathematical achievement and mathematical disposition. For this purpose, this study carried out tasks as follows: First, we design a problem posing teaching learning program based on structural approach cooperative learning. Second, we analyze how problem posing based on structural approach cooperative learning affects students' mathematical achievement. Third, we analyze how problem posing based on structural approach cooperative learning affects students' mathematical disposition. The results of this study are as follows: First, in the aspect of mathematical achievement, the experimental group who participated in the problem posing program based on structural approach cooperative teaming showed significantly higher improvement in mathematical achievement than the control group. Second, in the aspect of mathematical disposition, the experimental group who participated in the problem posing program based on structural approach cooperative teaming showed positive changes in their mathematical disposition. Summing up the results, through problem posing based on structural approach cooperative learning, students made active efforts to solve problems rather than fearing mathematics and, as a result, their mathematical achievement was improved. Furthermore, through mathematics classes enjoyable with classmates, their mathematical disposition was also changed in a positive way.

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A study on the improvement of ability of a creative solving mathematical problem (수학문제의 창의적 해결력 신장에 관한 연구 -농어촌 중학교 수학영재를 중심으로-)

  • 박형빈;서경식
    • Journal of the Korean School Mathematics Society
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    • v.6 no.1
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    • pp.1-17
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    • 2003
  • In this paper, we study the methods of improving an ability of a creative solving mathematical problem belonging to an educational system which every province office of education has adopted for the mathematically talented students. Especially, we give an attention on a preferential reaction in teaching styles according to student's LQ., the relationship between student's LQ. and an ability of creative solving mathematical problems, and seeking for an appropriative teaching methods of the improvement ability of a creative solving problem. As results, we have the followings; 1. The group having excellent students who have a higher intelligential ability prefers inquiry learning which is composed of several sub-groups to a teacher-centered instruction. 2. The correlation coefficient between student's LQ. and an ability creative solving of mathematical is not high. 3. Although the contents and the model of thematic inquiry learning don't have a great influence on the divergent thinking (ex. fluency, flexibility, originality), they affect greatly the convergent thinking - a creative mathematical - problem solving ability. Accordingly, our results show that we should use a variety of mathematical teaching materials apart from our regular textbooks used in schools to improve a creative mathematical problem solving ability in the process of thematic inquiry learning. Also we can see that an inquiry learning which stimulates student's participation and discussion can be a desirable model in the thematic mathematical classroom activities.

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