• East Asian mathematical journal
• /
• v.36 no.2
• /
• pp.253-271
• /
• 2020

The purpose of this study was to see the effects of a learning method of the multiplication play activities on improving the mathematical thinking ability and mathematical attitude of 2nd grade students in elementary school. We chose 19 students of the 2nd grade experimental group of D elementary school in the D city to conduct this research. The result of this study are as follows. First, Classes using multiplicative play activities have a positive effect on students' mathematical thinking ability. When analyzing transcripts and activities, students were able to think of strategies that could solve the problem according to the situation. Second, Classes using multiplicative play activities, in result of this they have positive effect mathematical attitude than using textbook in terms of attitude about mathematical subject and habits of study. In conclusion, the multiplication play activities are effective to improve mathematical thinking ability and attitude of second elementary school students. It can be a implication for the method of improving mathematical thinking ability and attitude.

• School Mathematics
• /
• v.17 no.3
• /
• pp.377-390
• /
• 2015

This study attempts to analyse mathematical thinking and attitude of students related to mathematization in the problem solving process and provide implication of teachers' roles. For this, this study analyses mathematical thinking and attitude by dividing the process of solving problems of triangular array into several steps. And it makes a proposal for teachers questioning which can help students according to steps. Therefore this study results students' mathematization needs various steps and compositive mathematical thinking and attitude when students solve even a problem. From the point of view of teachers who attempt to wean students on mathematization, it is necessary for teachers to observe and analyze how students have mathematical thinking and take a stand for mathematics in detail. It also indicates that it is desirable for students who can not move on next step to provide opportunities to learn on their own rather than simply providing students mathematical thinking directly. Students can derive pleasure from the process of solving difficult problems through this opportunity and realize usefulness of mathematics. Finally this experience can build mathematical attitude and prepare the ground to be able to think mathematically.

• Journal of The Korean Association of Information Education
• /
• v.14 no.3
• /
• pp.311-318
• /
• 2010

In this paper, we proposed the integrated education program of informatics and math for solving problem using EPL. We applied a integrated math curriculum with EPL and analyzed mathematical thinking and attitude to the 3rd and 5th students. We used mathematical thinking test, mathematical attitude test and interview through student review. We also analyzed data of observers who are elementary school teachers. The results of test are as follows; First, we found effective points of meta-cognition and visualization of thought in solving the mathematical problem using Scratch. Second, mathematical thinking and attitude showed the result that 3rd grade students are more increased than 5th grade students in pre and post t-test of the mathematical. Consequently, we expect that the integrated education program of informatics and math using EPL can be applied to solve problem in math effectively.

• The Mathematical Education
• /
• v.50 no.2
• /
• pp.185-212
• /
• 2011

The purpose of this study is to analyze whether spreadsheet-used instruction can improve statistical thinking ability and attitude and also to identify what characteristics of statistical thinking is constructed. For this study, a subject of 2 classes were randomly selected among the 12 classes of the 11th grader in D high school and designated one class as the experimental group and the other class as the control group. Eight hours of the spread sheet-used instruction and the traditional textbook-oriented instruction had been carried out in each class. The research findings are as follows. First, the spread sheet-used instruction is shown to be more effective in enhancing statistical thinking than the traditional textbook-oriented instruction. Second, the spread sheet-used instruction is shown to be more effective in improving statistical attitude than the traditional textbook-oriented instruction. Third, students have shown the various characteristics of statistical thinking in the data descriptive process, data arrange-summary process, data representing process, and data analying process through the spread sheet-used instructions. Hence, the spread sheet-used instruction is recommended in teaching statistics.

• Journal of Gifted/Talented Education
• /
• v.25 no.4
• /
• pp.581-605
• /
• 2015

The purpose of this study is to build an instruction method focused on the mathematical process and apply it to 12, 5-year-olds from Kindergarten located in Seoul with a view to explore the changes in their mathematical thinking. In addition, surveys with parents and teachers, as well as those conducted in the field of early childhood education, were conducted to analyze the current situation. The effects focused on the five mathematical processes, namely problem solving, reasoning and proof, connecting, representing and communication was found to help the interactions between teacher-child and child-child stimulate the mathematical thinking of the children and induce changes. The mathematical process-focused instruction aimed to advance mathematical thinking internalized mathematical knowledge, presented an integrated problematic situation, and empathized the mathematical process, which enabled the children to solve the problem by working together with peers. As such, the mathematical thinking of the children was integrated and developed within the process of a positive change in the mathematical attitude in which mathematical knowledge is internalized through mathematical process.

• The Mathematical Education
• /
• v.43 no.1
• /
• pp.51-74
• /
• 2004

During cooperative learning in small group, we investigate what characteristics children in elementary school show at several fields of mathematics and through communicating activity etc., what influence the cooperative learning does on children's attitude, thinking, problem solving, recognition. To know them, we observe the process of children's communication and evaluate children's attitude, thinking, problem solving, recognition with checklist at each lesson. Through this research, we conclude that the figure part is the most effective when we teach with cooperative learning type, and the cooperative learning evoke the vivid communication, and make progress in affirmative attitude, thinking etc. Also, in this thesis we suggest the points which teacher should consider when he/she use cooperative learning in small-group.

• School Mathematics
• /
• v.2 no.2
• /
• pp.403-426
• /
• 2000

In this study, we tried to suggest a meaningful teaching method that is a mathematical thinking-oriented. After referring to the recent trend of mathematics education, we examined the direction that school mathematics should go. Next, we considered previous studies that deals with teaching methods focusing on the mathematical thinking. On the basis of the above examination, we accomplished case studies that aims at mathematical thinking-oriented teaching. And we explained that these case studies reflects the key points didactics of mathematics such as the education of ‘open mathematics’, constructivism etc. Finally, we proposed the necessity of mathematical thinking-oriented teaching in the current state of school mathematics.

• Education of Primary School Mathematics
• /
• v.11 no.1
• /
• pp.59-74
• /
• 2008

Mathematical knowledge is not exact definition but the supposition. Considering the nature of mathematics, realization of mathematics teaching which pursues critical thinking and rationality would be our problems. Accordingly, I set the subject of this study whether learning of constructivist discussion, which induces reflective thinking through communicating with others by expression with language of mathematical thinking in discussion, is effective against attitude on Mathematics and Mathematics achievement and study themes are as follows; A. Is learning of constructivist discussion effective against attitude on Mathematics? A-1. Is there any difference of self-conception on the subject between experimental group applied to learning of constructivist discussion and comparative group? A-2. Is there any difference of attitude on the subject between experimental group applied to learning of constructivist discussion and comparative group? A-3. Is there any difference of learning habits on the subject between experimental group applied to learning of constructivist discussion and comparative group? B. Is learning of constructivist discussion effective against mathematics achievement? The objects of study are 30 children of one class in the third grade of elementary school in Seoul for experimental group, and another one class with 30 children is comparative group. Study results and conclusion based on those results are as follows; First, students make reflective thinking through communication each other, therefore, instructor should create discussion environment for communication to express and form their mathematical thinking. Next, adaptability in student's mathematics activities and mathematical ideas should be permissible, and those should become divergent thinking. However, this study analyzed comparative results from only two each class having enrollment of thirty in the third grade. Accordingly, results from students in various grades and environment that are required to get more significant conclusion statistically.

• Journal of Elementary Mathematics Education in Korea
• /
• v.14 no.1
• /
• pp.123-134
• /
• 2010

Recently, mathematics education have been emphasized on developing students' mathematical thinking and problem solving abilities. Accordance with this emphasis, dramatical changes are needed in learning mathematics not merely let alone students solve real-made mathematics problems. The project learning to explore a counterweight activity will have an effects on positive mathematical attitude(to pose problem, to have curiosity) and mathematical thinking(power 10-digit representation, 2-digit number, two representation of 3-digit number, connect exponential number and log situation) which could develop understanding problems and critical thinking.

• Research in Mathematical Education
• /
• v.16 no.1
• /
• pp.31-50
• /
• 2012

The present study explored whether the implementation of focused activities (intervention programme) can enhance 22 pre-service mathematics teachers' proficiency in solid geometry thinking level as well as change for the better their feelings in this discipline. Over a period of 6 weeks the pre-service teachers participated in activities and diversified experiences with 3D shapes, using illustration aids and actual experience of building 3D shapes in relation to the various spatial thinking levels. The research objectives were to investigate whether the intervention programme, comprising task-oriented activities of solid geometry, enhance mathematics pre-service teachers' mastery of their geometric thinking levels as well as examine their feelings towards this discipline before and after the intervention programme. The findings illustrate that learners' levels of geometric thinking can be promoted, entailing control on higher thinking levels as well as a more positive attitude towards this field.