• Title/Summary/Keyword: learning mathematics

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Mathematics Anxiety by Mathematical Learning Style and the Grade in School: Elementary School Students (수학학습유형과 학년에 따른 초등학생의 수학불안에 관한 연구)

  • Lee, Sae Na;Han, Suk Sil;Yi, Seunghun
    • Korean Journal of Child Studies
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    • v.28 no.6
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    • pp.1-16
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    • 2007
  • In this study of mathematics anxiety, mathematical learning style, and grade in school, 1,264 elementary students completed the Mathematics Anxiety Scale(Lee, 2005) and the Mathematical Learning Style Scale(Yang & Whang, 2005) for elementary school students. Analysis of their responses showed that anxiety about mathematics increased with grade in school. Among sub-factors of mathematics anxiety, the subject itself, learners' attitude, and learning environment increased the anxiety of upper grade students. Motivation, initiative, and regulation styles of learning mathematics were found to be important factors in the mathematics anxiety of elementary school students.

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A Study on the Exploratory Learning in Groups Method in Mathematics Education (수학 교과에서의 집단탐구식 수업 방법에 관한 고찰)

  • Hwang, Hye-Jeong
    • Journal of Educational Research in Mathematics
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    • v.12 no.1
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    • pp.1-16
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    • 2002
  • The 7th Curriculum emphasizes that in mathematics classes, mathematical concepts be understood and mathematical problems be solved through student's own exploratory activities including the use of data, manipulatives, andtechnological devices. Following the main idea of the Seventh Mathematics Curriculum, this paper dealt with instructional methods applied suitably and effectively in mathematics classes, and focused on the 'exploratory learning in groups' method in mathematics education. For this purpose, this paper reviewed and summarized theories related to general pedagogy and of mathematics education. Based on the results, it investigated appropriate instructional methods in mathematics education. In particular, this paper focused on studying the exploratory learning method while investigating its properties and understand- ing the relationship between the 'exploratory learning in groups' method and the discussion-centered method. Finally, in order to show the usefulness of the exploratory learning method, this paper developed an example of a teaching module using the exploratory learning method in addition to discussion and lecture-centered methods by the use of manipulatives. The main goal of the module was to make students understand the principle of multiplication of integers.

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The Effects of Mathematics Learning Mentoring on Mathematical Knowledge for Teaching of Pre-service Mathematics Teachers (수학학습 멘토링이 예비수학교사의 수학교수지식(MKT)에 미치는 영향)

  • Lee, Heonsoo;Kim, Sol;Kang, Sungmo
    • Journal of the Korean School Mathematics Society
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    • v.24 no.4
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    • pp.327-348
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    • 2021
  • This study examines the effects of mathematics learning mentoring activities on mathematical knowledge for teaching (MKT) of pre-service mathematics teachers. We choose six pre-service mathematics teachers in the department of mathematics education at M University. The pre-service mathematics teachers conducted 1:1 mathematics learning mentoring for two hours at a times and twice a week for 15 weeks. The pre-service mathematics teachers submitted the mentor log, which recorded weekly learning and emotional observations. We collected the mentor log and the reflection log of pre-service mathematics teachers and the interviews with pre-service mathematics teachers. Based on the collected data, we analyzed the effects of MKT, the understanding of students, and pre-service mathematics teachers' introspection by mathematics learning mentoring. We obtained conclusions as follows. First, mathematics learning mentoring provides an opportunity for pre-service mathematics teachers to apply the theory of mathematical education to schools. Thus pre-service mathematics teachers express theoretical knowledge as practical knowledge. Second, mathematics learning mentoring helps pre-service mathematics teachers have the ability to understand students and provide opportunities to reflect on their attitudes as learners. Third, mathematics learning mentoring helps advance teaching activities by providing pre-service mathematics teachers with opportunities to reflect on their teaching activities. Finally, mathematics learning mentoring has positively influenced the change in pre-service mathematics teachers' beliefs and teaching intuition.

The effect of academic achievement and affective domain on learning-centered DIY mathematics instruction (배움중심 DIY 수학 수업이 학업성취도 및 정의적 영역에 미치는 효과)

  • An, Jong Su
    • East Asian mathematical journal
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    • v.38 no.2
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    • pp.215-240
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    • 2022
  • In this study, we proposed a learning-centered DIY mathematics instruction for students to actively design instructions and developed important competencies. The research problems of this study were as follows. First, how did learning-centered DIY mathematics instruction affect math academic achievement? Second, how did learning-centered DIY mathematics instruction affect the affective domain? Third, what was the reaction of students to the implementation of the learning-centered DIY mathematics instruction? For this purpose, this study was conducted with 58 students in 2 classes of 2nd grade of 00 High School located in 00 Metropolitan City. As a result of the study, first, it could be seen that the study group that taught the learning-centered DIY mathematics instruction was very helpful in the change of mathematics academic achievement compared to the comparative group who taught the explanatory instruction based on traditional textbooks. Second, the research group showed a significant improvement in the affective domain compared to the comparison group. Third, the responses of the students in the research group through the learning-centered DIY mathematics instruction improved in a positive direction, and there were some negative responses.

"Open" Matehmatics Education and Education of "Open Mathematics" ("열린" 수학교육과 "열린수학"의 교육)

  • 이경화
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.425-437
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    • 1998
  • The difference between "open" mathematics education and education of "open mathematics" arises from the difference of tearcher's understanding on the meaning of "teaching and learning mathematics" in the paper. Discusses the agreements and the worries of the researchers, the teachers, the students in korea, about open educationism, firstly, Three practical cases in mathematics lesson in korea are reviewed and analyzed in the respect of learning principles, secondly. Thirdly, the paper examines how to be modified two main learning principles, individualised learning and self-regulation of learning by teachers in the process of instruction. Finally, open mathematics advocated by Fisher(1984) and closed mathematics are compared especially in the probability unit. It concludes that the open approaches in mathematics lessons in korea need to improve with respect to teacher's attitude for didactic contents or mathematical knowledge. It is argued that teacher's open or flexible understanding of mathematical knowledge is no less important than that of their pupils.ant than that of their pupils.

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Research on Environmental Factors that Affect Mathematics Learning of Students in Multicultural Families (다문화가정 학생들의 수학학습에 영향을 미치는 환경적 요인 연구)

  • Kim, Seon-Young;Kim, Young-Ok
    • East Asian mathematical journal
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    • v.31 no.2
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    • pp.245-273
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    • 2015
  • The purpose of this study is to investigate environmental factors that affect mathematics learning of students in multicultural families. For this study, as study subjects, eight elementary school students and one middle school student, who were born and grew up in multicultural families in Korea due to international marriage of Korean father and foreign mother, and their five mothers were selected. To examine factors affecting mathematics learning and interests of students in multicultural families, relationships with parents, friends, and teachers were surveyed, and mathematics attitude test was performed. After conducting one on one interview based on collected questionnaires and results of the attitude test, qualitative data analysis was performed. As a result of survey and interview, positive factors affecting mathematics learning of students in multicultural families included arousing interest in mathematics through mother's mathematics teaching in her mother language and direct teaching, good peer relation, teacher's compliment and encouragement, and lowering the burden of language in accordance with characteristics of mathematics course.

The Effect of Self Efficacy and Self-Regulated Learning on Learning Persistence in Blended Learning Based Basic Mathematics Class (블렌디드 러닝기반 기초수학 수업에서 자기효능감, 자기조절학습이 학습지속의향에 미치는 영향)

  • Hong, Hyo Jeong
    • Journal of Engineering Education Research
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    • v.20 no.6
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    • pp.3-11
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    • 2017
  • The purpose of this study is to investigate the variables that learners should consider for learning persistence when applying blended learning to mathematics class which is a basic curriculum of engineering college. For this purpose, this study compared the basic mathematics class with the blended learning and the class without it. In addition, this study analyzed the influence of the learning outcomes of the blended learning on the willingness to learning persistence by using the self-efficacy and self-regulated learning variables that can predict it. As a result, it was found that the blended learning applied mathematics class of K university which is the subject of analysis in this study has higher self - efficacy, self - regulated learning, and learning persistence intention than general classroom. Finally, the results of this study are meaningful to provide the points to be considered for improving the learning performance when applying the blended learning to the subject class in the future.

A Study on the Effects of Self-concept, Attitude and Learning habit on Academic Achievement - Focused on 5th grade of elementary school students- (자아개념과 태도 및 학습습관이 수학 학업성적에 미치는 영향 -초등학교 5학년을 대상으로-)

  • Park, Su-Hee;Ro, Young-Soon
    • Journal of the Korean School Mathematics Society
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    • v.14 no.2
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    • pp.199-213
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    • 2011
  • The factors contributing to learning can be broadly classified into four different groups; Learner's characteristic variable, Instructor's characteristic variable, Learning task characteristic variable and environmental characteristic variable. And the first thing we need to do here is understanding of learner's characteristics among those factors in order to devise a plan for education. Accordingly, the purpose of this study is to find out what impact the affective traits (self-concept learning habits learning attitude), one of the learner's features, have on the mathematics-learning achievement and to seek for a good teaching method with reference to elementary school students' learning accomplishments and attitudes. For this, a questionnaire survey was conducted of 78 students of two fifth-grade classes in an elementary school located in South Chungcheong Province in this study. In consequence, it has been shown that the mathematics-learning achievement has the greatest relevance to the self-concept in connection with mathematics followed by the self-concept in connection with learning, the learning habits relating to mathematics, the attitude towards mathematics, the learning habits concerning studies and the attitude towards learning.

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Social aspects of computer based mathematics learning (컴퓨터를 활용한 수학학습에서의 사회적 측면)

  • 류희찬;권성룡
    • Journal of Educational Research in Mathematics
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    • v.9 no.1
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    • pp.263-278
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    • 1999
  • Computer with various powerful functions has profound potential for mathematics instruction and learning. As computer technology progress, its applicability to mathematics education become more comprehensive. Not only its functional development but various psychological positions also changed the way computer technology utilized in mathematics education. In behaviorist's perspective, computer viewed as a teaching machine and constructivist viewed computer as microworld where students could explore various mathematical contents. Both theoretical positions emphasized individual aspect of learning because behaviorist tried to individualize learning using computer and constructivist focused on the process of individual construction. But learning is not only a individual event but also a social event. Therefore we must take social aspect into account. This is especially important when it comes to computer based learning. So far, mathematics loaming with computer weighed individual aspect of loaming. Even in microworld environment, learning should be mediated by teacher and collaborative learning activities. In this aspect, the roles of teacher and peers are very important and socio-cultural perspective sheds light on the computer based learning. In socio-cultural perspective, the idea of scaffold is very important in learning and students gradually internalize the social dimension and scaffolding is gradually faded. And in the zone of proximal development, teacher and more competent peers guide students to formulate their own understanding. In sum, we must take following points into account. First of all, computer should not be viewed as a medium for individualized teaming. That is, interaction with computer should be catalyst for collaborative activities with peers. So, exploration in computer environment has to be followed by small group activities including small group discussion. Secondly, regardless of the role that computer would play, teacher should play a crucial role in computer based learning. This does not mean teacher should direct every steps in learning process. Teacher's intervention should help student construct actively. Thirdly, it is needed to conceptualize computer in learning situation as medium. This would affect learning situation and result in the change of pre-service and in-service teacher training. Computer to be used effectively in mathematics classroom, researches on assessment of computer based learning are needed.

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인지발달에 근거를 둔 수학학습 유형 탐색

  • 박성태
    • The Mathematical Education
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    • v.34 no.1
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    • pp.17-63
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    • 1995
  • The exploration of Mathematics-learningmodel on the basis of Cognitive development The purpose of this paper is to sequenctialize Mathematics-learning contents, and to explore teaching-learning model for mathematics, with on the basis of the theory of cognitive development and the period of condservation formation for children. The Specific topics are as follows: (1) Systemizing those theories of cognitive development which are related to Mathematics - learning for children. (2) Organizing a sequence of Mathematics - learning, on the basis of experimental research for the period of conservation formation for children. (3) Comparing the effects of 4 types of teaching - learning model, on the basis of inference activity and operational learning principle. $\circled1$ Induction-operation(IO) $\circled2$ Induction-explanation(IE) $\circled3$ Deduction-operation(DO) $\circled4$ Deduction-explanation(DE) The results of the subjects are as follows: (1) Cognitive development theory and Mathe-matics education. $\circled1$ Congnitive development can be achieved by constant space and Mathematics know-ledge is obtained by the interaction of experience and reason. $\circled2$ The stages of congnitive development for children form a hierarchical system, its function has a continuity and acts orderly. Therefore we need to apply cognitive development for children to teach mathematics systematically and orderly. (2) Sequence of mathematical concepts. $\circled1$ The learning effect of mathematical concepts occurs when this coincides with the period of conservation formation for children. $\circled2$ Mathematics Curriculum of Elementary Schools in Korea matches with the experimental research about the period of Piaget's conservation formation. (3) Exploration of a teaching-learning model for mathematics. $\circled1$ Mathematics learning is to be centered on learning by experience such as observation, operation, experiment and actual measurement. $\circled2$ Mathematical learning has better results in from inductional inference rather than deductional inference, and from operational inference rather than explanatory inference.

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