• Title/Summary/Keyword: Learning mathematics

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The Effect of Self-directed Learning based on the Selection of Level Tasks on Achievement in Mathematics (수준별 과제 학습지 구안 적용이 수학과 학업성취에 미치는 영향)

  • 윤희송
    • Journal of the Korean School Mathematics Society
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    • v.2 no.1
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    • pp.157-166
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    • 1999
  • Compared with other subjects, mathematics has great differences in achieve-ment. In hope of solving this problems, most schools try the level-movement learning. Although they say it may have some effect because of its homogeneous group, the level groups still have differences in achievement in their students abilities. So, this study aims to present an appropriate tasks for the advanced, intermediate and beginner groups and to help self-directed learning by selecting an appropriate tasks for the students' own level. To achieve thiese goals, a great deal of level tasks were developed and given to the students. After lettins them an select appropriate tasks for their own level and perform self-directed learning, the tasks were measured carefully for their interest, attitude and achievement in learning. Consequently, we tried a new method to improve uniformity and to turn teacher-centered learning into student-centered learning. The following is the conclusion to this study. First, self-directed learning based on the selection of level tasks has meaningful effects on learning achievement in mathematics, especially for the beginner group. Second, though the above method did not improve an interest for mathematics, but was very effective in the improvement of learning attitudes.

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Development of Teaching-Learning Model and Instructional Process Based on the Viewpoint of Constructivism (구성주의 관점에 의한 수학 교수-학습 모델의 설정과 수업 전개)

  • Kim Seon-Yu
    • Journal of Elementary Mathematics Education in Korea
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    • v.3 no.1
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    • pp.75-92
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    • 1999
  • Many educators say that one of the key theory which is widely accepted teaching-learning process in the 7th mathematics curriculum is constructivism. They believe constructivism is very powerful as a background theory in teaching-learning mathematics and in this point of view, each student can construct knowledge by himself in the inner world. Therefore, the aspect of teaching-learning methods in the 7th mathematics curriculum focused on inquiry learning, self-directed learning, cooperative learning. Through this methods, the 7th mathematics text also composed of ease, interesting and dynamic activity oriented subjects. And constructive teaching-learning methods in mathematics is implemented variously by those whom attracted in constructivism. Thus, the purpose of this study is to build up a model that is required to systematize teaching-learning process in mathematics as a guideline for teachers. Another purpose of this study is to make clear that the presented model is appropriate process for teaching-learning in mathematics.

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Comparison of Mathematically Gifted Students and Non-gifted Students in Perception of Learning Environments and Affective Characteristics (수학영재학생들과 일반학생들의 학습관련 인식과 정의적 특성 비교)

  • Lee, Sae-Na;Yi, Seung-Hun;Han, Suk-Sil
    • Korean Journal of Child Studies
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    • v.30 no.5
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    • pp.73-85
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    • 2009
  • The purpose of this research was to compare mathematically gifted students with non-gifted students in perception of learning environments, learning ability beliefs, and preference for problem-solving and task. Thirty-seven mathematically gifted students and 75 general students in middle school completed questionnaires about perceptions about mathematics. Data were analyzed by ${\chi}^2$ test and t-test. Compared with general students, mathematically gifted students estimated their talents for mathematics higher, studied mathematics more, expended more time and effort to solving difficult problems, put learning mathematics itself as their primary purpose for studying mathematics and regarded inappropriate environments as the major obstacle to mathematics study. Mathematically gifted students perceived their parents' support higher, solved problem creatively, and had higher preference for challenging tasks.

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Development of a Teaching/Learning Model for the Mathematical Enculturation of Elementary and Secondary School Students

  • Kim, Soo-Hwan;Lee, Bu-Young;Park, Bae-Hun
    • Research in Mathematical Education
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    • v.1 no.2
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    • pp.107-116
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    • 1997
  • The purpose of this study is to develop a teaching/learning model for the mathematical enculturation of elementary and secondary school students. It is clear that the development of teaching and learning in the classroom is essential for the realization of global innovations in mathematics education. Research questions for this purpose are as follow: (1) What can be learned from literatures reviews of the socio-cultural perspective on mathematics education, and of ethnomathematics as a mathematics intrinsic to cultural activities? (2) What is the direction of teaching and learning from the perspective of mathematical enculturation? (3) What is the teaching /learning model for mathematical enculturation? (4) What is the instructional exemplification based on the developed model? This study promotes the establishment of mathematics education theory from the review of literatures on the socio-cultural perspective, the development of a teaching/learning model, and the instructional exemplification based on the developed model.

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Development and application of mathematics teaching-learning model considering learning styles of the students of engineering college (공과대학생들의 학습양식을 고려한 수학 교수-학습 모형 개발 및 적용)

  • Jeong, Suyoun;Kang, Yunsoo
    • Communications of Mathematical Education
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    • v.27 no.4
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    • pp.407-428
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    • 2013
  • The purpose of this research is to develop an effective teaching-learning model and suggest efficient methods for improving the learning abilities in mathematics of the students of engineering college. For this purpose, we examined their learning styles and learning attitudes toward Mathematics, which are important factors in teaching-learning process, and analyzed the relation between them. As a result, we found that participants had a disposition of being dependent and highly participating, so we made an effort to develop a teaching-learning model which can make the students active and highly involved in. After applying the developed teaching-learning model to Engineering Mathematics class for one semester, we conducted survey of the participants' responses. In conclusion, we found that this model is very helpful for Engineering students to utilize a self-directed learning by diagnosing and adjusting their learning process in Meta-cognitive way. Also, it is confirmed that this model has a considerable influence in which students can actively participate in class and have positive attitude to Mathematics learning.

A Study to Develop Criteria to Judge Mathematical Problems and a Learning Model in Mathematics Problem-Based Learning (수학과 문제중심학습(PBL)을 위한 문제분석기준 개발과 학습모형 연구)

  • Huh, Nan;Kang, Ok-Ki
    • Journal of Educational Research in Mathematics
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    • v.20 no.3
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    • pp.255-274
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    • 2010
  • The main goal of this study is to provide a practical help to teachers who want to practice Problem-Based Learning in mathematics for establishing and realizing PBL environment. This study also produces mathematics PBL Learning Model and Criteria to Judge to help practice and to vitalize PBL in mathematics. To solve the research topics, I reviewed theoretical issues related to PBL, which became theoretical bases of this study. And then, from the theoretical background, items of criteria to judge mathematical problems in mathematics PBL are abstracted. And, through checking on content validity by experts, criteria to judge mathematical problems in mathematics PBL are completed. Also, based on previous PBL models, learning model in mathematics PBL that takes characteristics of mathematics into account is suggested through case studies by observing, a qualitative research method, on PBL study to materialize it. This research is expected to help teachers who want to practice PBL in mathematics.

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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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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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A Study on the Determining Factors of Elementary Students' Attitude towards Mathematics (초등학생의 수학 학습태도를 형성하는 요인에 대한 연구)

  • Kim, Eun-Hyoung;Paik, Suck-Yoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.12 no.2
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    • pp.125-148
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    • 2008
  • The purpose of this study was to analyze concretely and minutely a primary factor of deciding attitude of learning mathematics of elementary school students, grope a solution for negative attitude of learning mathematics with researching a difference between major factors by achievement in mathematics, and examine a suggestion in forming positive attitude of learning mathematics. The results of this study is as follows. First, elementary school students decided whether they liked or disliked mathematics, depending on not only characteristics of mathematics, but also teacher's teaching mathematics with interest and fun, or teacher's teaching tediously and difficultly. Second, negative attitude toward mathematics exam of elementary school students was influenced by parents' meddling for exam and negative attitude toward result of exam more than uneasiness by exam itself. Third, as private education for elementary school students becomes more popular, the learning mathematics out of school can be an important factor to decide attitude of learning mathematics of students on several sides such as teacher, teaching method, method of presenting task, and so on as much as mathematics class in school, and characteristics of mathematics. Fourth, students demanded silent and concentrative atmosphere in studying to have positive attitude of learning mathematics. Fifth, as the result of examining major factors that form attitude of teaming mathematics of groups by achievement in mathematics, there was considerable difference in each group. Students in a group of ‘upper’ and ‘lower’ disliked parents' meddling and rebuke, but it didn't change greatly their attitude toward mathematics exam. However a group of ‘middle’ showed the greatest uneasiness toward an exam, and they reacted sensitively to parent's rebuke, scolding, learning environment, and so on.

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Analysis of Mathematical Anxiety raised from Self-Directed-Learning and Learning in a Body (자기주도적 학습과 일제학습에서의 수학불안에 대한 분석)

  • 김동복;김인수
    • Journal of Educational Research in Mathematics
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    • v.9 no.2
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    • pp.439-457
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    • 1999
  • In this paper, we tried to find out what makes the students feel anxious to mathematics and the ways to decrease their anxiety by comparing two learning types, self-directed-learning and learning in a body, by means of continuous observation and interviews. To perform this study, two classes of self-directed-learning and other two classes of learning-in a body were chosen from the third year-students in Wando Middle School in Chollanamdo. In this study, we obtained the following results: 1. In high group in math grade, students in self-directed-learning are less anxious than students in learning-in a body. 2. In average group in math grade, students in self-directed-learning are much more anxious than students in learning-in a body. 3. In low group in math grade, both students in self-directed-learning and students in teaming-in a body feel anxious about math and there is no difference between them. 4. Anxiety about math hove positive influence on high group in math grade. 5. Anxiety about math have negative influence on average and low groups in math grade. Especially, low group students had no interests about mathematics because of their math anxiety. We observed that some students got over the math anxiety to some meaningful extent by means of interviews or appropriate advices, and became to have confidence and interests in mathematics.

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