• Title/Summary/Keyword: Mathematical Attitudes

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A Case Study on Teaching Mathematical Communication via Web-Based Online Discussion (웹 기반 온라인 토론을 통한 수학적 의사소통 지도에 관한 사례연구)

  • 권오남;김인숙
    • School Mathematics
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    • v.5 no.1
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    • pp.77-95
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    • 2003
  • We have web-based online discussion to implement active interaction and a variety of communicative activities. I have gathered the following research questions to study about the meaning of web-based online discussion as a mathematical communication teaching method. First, what changes are there in students mathematical communication ability in web-based online discussion\ulcorner Second, how do students evaluate the web-based online discussion experience\ulcorner In this web-based online discussion, groups of middle school first grade 34 students and each group had chatting at 8 times for 10 weeks. I analyzed what they had discussed by the prints that they had sent me by e-mail. I also surveyed what they had experienced and analyzed them. In this research, the online web based discussion has given positive influence on students' competence of speaking, writing, reading and listening which are crucial to mathematical communication. Students' mathematic thinking power improved and attitudes to mathematics have become more positive.

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Effects of Reciprocal Writing-Reflection Activities on the Loarning Elementary Mathematics - Focused on the 2nd Grade Students - (상호교류적 쓰기-반성 활동이 수학 학습에 미치는 영향 - 초등학교 2학년을 대상으로 -)

  • Yoon Jeong-Min;Kang Wan
    • Journal of Elementary Mathematics Education in Korea
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    • v.10 no.1
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    • pp.21-42
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    • 2006
  • The purpose of this study is to identify the influences of the reciprocal writing-reflection activities on the mathematical learning of the 2nd grade students by developing a class model using reciprocal writing-reflection activities method as one of the interactive application of manipulative activities, reflective thought and communication activities which are the learning principles of constructivism. We have experimented and investigated to after dividing experimental objects into two group, experimental groups and comparative group, The conclusions of this study are followings. First, reciprocal writing-reflection activities showed significant effects on mathematical achievements of the group with lower achievements in learning. Second, reciprocal writing-reflection activities positively influenced mathematical tendency of the students. Third, the students had positive attitudes in interest, desire and usefulness regarding reciprocal writing-reflection activities. And reciprocal writing- reflection activities are helpful for their reflective thinking and communication activities.

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Students' Perspectives towards M-learning Achievement, and Disposition towards Mathematics Using a mobile phone (Mobile-Learning에 의한 수학학습에서 학생들의 인식변화, 성취도, 및 성향에 대한 연구)

  • ChoiKoh, Sang-Sook
    • Communications of Mathematical Education
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    • v.23 no.3
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    • pp.863-885
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    • 2009
  • In the era of wireless internet, we are apt to use a mobile phone for learning mathematics, besides the pc computer and the notebook computer. This study was to investigate the effect of M-learning when students were given a wireless mobile phone in terms of their perspectives towards the use of a mobile phone, achievement and attitudes towards mathematics. They were the 3th grader in a high school, who were expected to take Aptitude Test for the entrance of the university level. The most students who took an ubiquitous environment of M-learning showed it as a benefit for learning mathematics and did not spend time at other activities such as listening to music, sending text-message, playing games, etc, but at the M-learning activities. The students who engaged in the M-learning activities were improved a significantly higher score at Aptitude Test than the students who took the make-up courses in the school and also did a significantly higher disposition towards mathematics which was caused by curiosity among 7 components of the mathematical disposition.

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An Effect on Mathematical Preference and Learning Attitude of the Application of Designing for Portfolio using Mathematical History (수학사를 이용한 Portfolio 제작물 구안 적용이 수학적 성향 및 학습태도에 미치는 영향)

  • Shin, Jae-Yon;Park , Jun-Seok
    • Journal of the Korean School Mathematics Society
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    • v.7 no.2
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    • pp.1-20
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    • 2004
  • The purpose of this study is to suggest the new way about performance assessment through analyzing about what changes are occurred on mathematical attitude and interest by performance assessment as comparing and analyzing the effect on learners' mathematical preferences and learning attitudes through the application of teaching and evaluating model utilizing portfolio products using mathematical history which is one of the various ways of performance assessment. That can satisfy the feature of performance assessment that realizes instruction and assessment simultaneously on the first grade at high school. Also, it can reduce the teachers' works, search the potential ability of students, realize level type curriculum, and draw out the learners' interests because it is a self-leading instruction that consists of student-centered learning. For the purpose of this study, the role of mathematical history and its advantage and the way of utilizing it in mathematical history by referring to sundry records were studied. Evaluation, the way of performance assessment and scoring were also considered to design portfolio teaching and evaluating model using mathematical history. To solve the another tasks for this study, mathematical preference factors and mathematical learning attitude factors are used. Mathematical preference factors divide into confidence, flexibility, will, curiosity, reflection, and value and then make 4 questions each factor. And mathematical learning attitude factors divide into self-esteem, attitude, and learning habit and then make 10 questions each factor. These factors need to be reorganized the materials which are made by Korean Education Development Institute(1992) to be agreed with the purpose of this study.

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The Effect of Mathematics Classes Using AlgeoMath on Mathematical Problem-Solving Ability and Mathematical Attitude: Focusing on the 'Cuboid' Unit of the Fifth Grade in Elementary School (알지오매스 기반 수업이 수학적 문제해결력 및 태도에 미치는 효과: 초등학교 5학년 '직육면체' 단원을 중심으로)

  • Seung Dong Lee;Jong Hak Lee
    • Journal of Science Education
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    • v.48 no.1
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    • pp.47-62
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    • 2024
  • The purpose of this study is to investigate the effects of classes using AlgeoMath on fifth grade elementary students' mathematical problem-solving skills and mathematical attitudes. For this purpose, the 'cuboid' section of the 5th grade elementary textbook based on AlgeoMath was reorganized. A total of 8 experimental classes were conducted using this teaching and learning material. And the quantitative data collected before and after the experimental lesson were statistically analyzed. In addition, by presenting instances of experimental lessons using AlgeoMath, we investigated the effectiveness and reality of classes using engineering in terms of mathematical problem-solving ability and attitude. The results of this study are as follows. First, in the mathematical problem-solving ability test, there was a significant difference between the experimental group and the comparison group at the significance level. In other words, lessons using AlgeoMath were found to be effective in increasing mathematical problem-solving skills. Second, in the mathematical attitude test, there was no significant difference between the experimental group and the comparison group at the significance level. However, the average score of the experimental group was found to be higher than that of the comparison group for all sub-elements of mathematical attitude.

The Effects of the Process-based Mathematics Children's Verse Writing Activities on Mathematics Achievements and Attitudes (과정중심 수학 동시 쓰기가 학생들의 수학 학업성취도와 수학적 태도에 미치는 영향)

  • Park, Hyun Chul;Park, Mangoo
    • Journal of the Korean School Mathematics Society
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    • v.18 no.2
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    • pp.187-201
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    • 2015
  • The purpose of this study was to examine the effects of using process-based writing poems in the elementary mathematics classrooms. For this study, we chose 128 elementary school students to examine their mathematical achievements and attitude towards mathematics when using process-centered writing poems in the elementary mathematics classrooms. Process-based mathematics and writing programs developed mainly on the geometry units were composed of four levels, idea generation, idea selection, use and idea organization grouped into similar sections in order to separate into two sections. The results of the practice of this study's problem can be summarized as follows. First, the process-based mathematics and writing activity of geometry had a positive impact on academic achievement in mathematics. Although there was not a significant difference in the fourth and fifth grades, significant differences in the fifth and sixth grade were found. Second, in regards to attitudes in mathematics, process-based mathematics and writing activities had a positive impact. In particular, the improvement of mathematical attitudes was evident in all grades. It confirmed the effective facilitation of interest and enjoyment towards learning mathematics by 4th, 5th and 6th graders who had undertaken these mathematics classes.

Prospective Mathematics Teachers' Perceptions of Collaborative Problem-posing as a Means to Promote Students' Creativity and Character (창의성과 인성 교육 방안으로서 협력 문제 만들기에 대한 수학 예비교사의 인식)

  • Lee, Bongju
    • Communications of Mathematical Education
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    • v.36 no.3
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    • pp.373-395
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    • 2022
  • This study aimed to examine how prospective mathematics teachers (PMTs) perceive collaborative problem-posing (CPP) as a method to cultivate students' creativity and character in mathematics education. This is to propose the introduction of CPP at the stage of preparatory math teacher education as one of the ways to reinforce the creativity and character education capacity of PMT), and to attempt to be an opportunity to actively utilize CPP in math teaching-learning in the school field for the education of students' creativity and character. To achieve this objective, I designed PMTs taking the 'Educational Theories for Teaching Mathematics' course, required in the second year of university, to experience CPP tasks. Data were collected through questionnaires or interviews over three years on how PMTs recognized the CPP tasks as a tool to cultivate students' creativity and character in secondary schools. The results of the study are as follows. First, PMTs recognized regardless of their CPP experience that CPP might have a positive impact on improving students' ability to devise various ideas and that it positively influences students' attitudes toward building interpersonal relationships, including teamwork, respect, and consideration. Second, the experience of PMTs participating in the CPP made them more positively aware that CPP is effective in improving students' ability to elaborate on ideas. Third, the PMTs' experience of participating in CPP led to a more positive perception of the impact of CPP on the students' abilities and attitudes, namely, the students' ability to elaborate on ideas and their inner attitudes toward individuals, including honesty, fairness, and responsibility, and the attitude of students regarding logically presenting their opinions and making rational decisions. Finally, if there are downsides to the offline environment, an online environment may be more beneficial.

A study on the factors of elementary school teachers' intentions to use AI math learning system: Focusing on the case of TocToc-Math (초등교사들의 인공지능 활용 수학수업 지원시스템 사용 의도에 영향을 미치는 요인 연구: <똑똑! 수학탐험대> 사례를 중심으로)

  • Kyeong-Hwa Lee;Sheunghyun Ye;Byungjoo Tak;Jong Hyeon Choi;Taekwon Son;Jihyun Ock
    • The Mathematical Education
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    • v.63 no.2
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    • pp.335-350
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    • 2024
  • This study explored the factors that influence elementary school teachers' intention to use an artificial intelligence (AI) math learning system and analyzed the interactions and relationships among these factors. Based on the technology acceptance model, perceived usefulness for math learning, perceived ease of use of AI, and attitude toward using AI were analyzed as the main variables. Data collected from a survey of 215 elementary school teachers was used to analyze the relationships between the variables using structural equation modeling. The results of the study showed that perceived usefulness for math learning and perceived ease of use of AI significantly influenced teachers' positive attitudes toward AI math learning systems, and positive attitudes significantly influenced their intention to use AI. These results suggest that it is important to positively change teachers' perceptions of the effectiveness of using AI technology in mathematics instruction and their attitudes toward AI technology in order to effectively adopt and utilize AI-based mathematics education tools in the future.

A Study on Developing and Using Mathematics Learning Program which can be used to Connect Schooling and Home Education for the other days of 5 days-schooling - Centered on Project Learning - (주 5일 수업제 시행에 따른 학교와 가정을 연계한 수학학습프로그램 개발과 활용에 관한 연구 - 프로젝트형 과제를 중심으로 -)

  • Nam, Seung-In;Ryu, Sung-Rim;Baek, Seon-Su
    • School Mathematics
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    • v.10 no.1
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    • pp.79-103
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    • 2008
  • The purpose of this study is for developing and using project tasks which can be used to connect schooling and home education for the other days of 5days-schooling; to promote students' mathematical ability and to let students have positive cognitions toward mathematics and self-controled learning attitudes. For this study, two classes of 4th graders(56 students) were sampled from a school in D city. Half of them were assigned to the experiment group(EG) and the other to comparison group(CG). In the experiment group, students completed 16 project tasks and we investigated whether there is an effect on students' academic achievement and mathematical disposition. Two kinds of test instruments, pre-test and post-test were used. The pre-test scores guaranteed that both groups were homogeneous. Post-test scores were used to identify three effects and the post-test scores were analyzed by t-test. The result of this study is as follows: (1) There was significant difference between EG and CG in academic achievement (p=0.010). (2) There was significant difference between EG and CG in mathematical disposition(p=0.007). (3) There was no significant difference between EG's pre-test and post-test in mathematical disposition at the 5% significant level. But the average score of mathematical disposition improved from 3.3333 to 3.5375. Mathematical disposition was composed of 6 factors. One of them was mathematical value and there was significant difference between EG's pre-test and post-test at the 5% significance level(p=0.030). But other factors were not. The average scores of mathematical reflection improved a little. So we can say that the activities with project tasks brought an positive influence on students' mathematical disposition.

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Teachers' conceptual errors related to the definitions in the area of geometry of elementary school mathematics (초등수학 도형영역에 제시된 정의에 관한 교사의 인식과 오류)

  • Choi, Keun-Bae;Oh, Suk-Kyoung
    • The Mathematical Education
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    • v.47 no.2
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    • pp.197-219
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    • 2008
  • Unlike ordinary situations, deifinitions play a very important role in mathematics education in schools. Mathematical concepts have been mainly acquired by given definitions. However, according to didactical intentions, mathematics education in schools has employed mathematical concepts and definitions with less strict forms than those in pure mathematics. This research mainly discusses definitions used in geometry (promising) course in primary schools to cope with possibilities of creating misconception due to this didactical transformation. After analyzing problems with potential misconceptions, a survey was conducted $\underline{with}$ 80 primary school teachers in Jeju to investigate their recognitions in meaning of mathematical concepts in geometry and attitudes toward teaching. Most of the respondents answered they taught their students while they knew well about mathematical definitions in geometry but the respondents sometimes confused mathematical concepts of polygons and circles. Also, they were aware of problems in current mathematics textbooks which have explained figures in small topics (classes). Here, several suggestions are proposed as follows from analyzing teachers' recognitions and researches in mathematical viewpoints of definitions (promising) in geometric figures which have been adopted by current mathematics textbooks in primary schools from the seventh educational curriculum. First, when primary school students in their detailed operational stage studying figures, they tend to experience $\underline{a}$ collision between concept images acquired from activities to find out promising and concept images formed through promising. Therefore, a teaching method is required to lessen possibility of misconceptions. That is, there should be a communication method between defining conceptual definitions and Images. Second, we need to consider how geometric figures and their elements in primary school textbooks are connected with fundamental terminologies laying the foundation for geometrical definitions and more logical approaches should be adopted. Third, the consistency with studying geometric figures should be considered. Fourth, sorting activities about problems in coined words related to figures and way and time of their introductions should be emphasized. In primary schools mathematics curriculum, geometry has played a crucial role in increasing mathematical ways of thoughts. Hence, being introduced by parts from viewpoints of relational understanding should be emphasized more in textbooks and teachers should teach students after restructuring this. Mathematics teachers should help their students not only learn conceptual definitions of geometric figures in their courses well but also advance to rigid mathematical definitions. Therefore, that's why mathematics teachers should know meanings of concepts clearly and accurately.

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