• The Mathematical Education
• /
• v.46 no.1 s.116
• /
• pp.97-122
• /
• 2007

This article provides how to implement the use of Realistic Mathematics Education (RME) in a teaching a function at a school to improve students' mathematization for their mathematical thinking using technology, This study was planed to get research results using the mixed methodology with quantitative and qualitative methodologies. 120 middle school students participated in the study to bring us data about their mathematical achievement and disposition. Through the data analysis used ANCOVA, the students with the experiment of the mathematization and technology excelled the other groups of students who were not provided with technology or both of them. In analysis of the questions of the achievement test, the problems for vertical mathematization were presented harder for the students than the other problems for horizontal and applicative mathematization. The technology environment might have helped students manipulate the application of real-life problems easier. This means that teachers can put more careful assignment on vertical mathematization using technology. We also explored that learning and teaching under RME using technology encouraged students to refine and develop their informal functional concept and pursue higher thinking of formalization. The study results in a lot of resources for teachers to use into their teaching mathematics for improving students' mathematical thinking.

• The Mathematical Education
• /
• v.44 no.1 s.108
• /
• pp.113-124
• /
• 2005

In this study, we have analysed and compared the cognitive, affective, and emotional aspects of the mathematically gifted, the scientifically gifted, and common middle school students in cognitive, affective, and emotional aspects. The mathematically gifted students are proved to have better continuous/simultaneous information processing, more positive mathematical disposition, more preference to difficult tasks, and higher EQ than the common students do. On another hand, no difference is found between the mathematically gifted and the scientifically gifted students in creative problem solving ability however, the mathematically gifted have more self-confidence, more curiosity for mathematics, stronger will, and more disposition to monitor and reflect, and more efficient self-control than the scientifically gifted do. In short, the mathematically gifted are superior to common students in mostly all aspects, and better than the scientifically gifted in the affective part.

• Education of Primary School Mathematics
• /
• v.2 no.2
• /
• pp.75-83
• /
• 1998

The present study investigated why students do not like math using deep-level interview method. The reasons of why students dislike math were classified into three： socio-cultural, and individual factors, and math itself. Socio-cultural factors include the environments where students are reared, family, and school culture. Individual factors mean competitive disposition, preconception of math, active disposition, and conflicts with friends or teachers. Finally, students seem to dislike math because math itself is a difficult subject. In addition, textbook and instruction are also difficult, or they are lack of fundamental math knowledge. There may be other reasons of why students do not like math subject. In spite of those reasons, there should be some efforts to analyze why students dislike math and to help the students have interests in math.

• Journal of Elementary Mathematics Education in Korea
• /
• v.14 no.3
• /
• pp.789-806
• /
• 2010

As calls for more attention toward social minority group increases in our society recently, in the field of mathematics education more attention toward an issue about mathematics underachievers is being amplified. Thus, the present study is to examine the effects of teaching method considering students' cognitive characteristics on mathematical underachievers' problem solving and mathematical disposition. For this study, 10 fifth graders identified as mathematical underachievers based on the results of the national level diagnosis assessment and school based assessment were voluntarily selected from an elementary school in Seoul. The results of this study found out the fact that students participating in this program improved in terms of an ability both to solve problems in various ways and to explain an process of problem solving using spoken or written language and drawings. In addition, learning environment respecting students' own mathematical ideas seems to positively influence students' attitudes toward mathematics learning and mathematical dispositions. Furthermore, this study pointed out that mathematical underachievers tend to have difficulty in expressing their own mathematical thinking by reason of linguistic limitation. Finally, the findings of this study imply that for effective teaching of mathematics underachievers, these students' own informal experience and knowledge about mathematics as well as their characteristics regarding learning difficulties should be strongly considered.

• School Mathematics
• /
• v.3 no.2
• /
• pp.295-324
• /
• 2001

Until now, There have been few studies to investigate a degree of abilities or interesting about mathematical problem-posing of first and second grades in elementary school. This is due to the fact that this students(1st and 2nd grades) have a limited amount of study time and their minds are not fully developed, and are lacking in their representation of ability to use the national language. This being the case, it is difficult to investigate their Mathematical problem-posing in a practical manner. However, our 7th elementary school Mathematics curriculum emphasizes the teaching and learning of Mathematical problem-posing from a basic level of first and second grade with emphasis on activity in teaming Mathematics. Through this study, having analysed the problems those children posed, I have found out they improved in numbers and correctness of their posed problems. And I too could found out showing to their much interesting and confidence to mathematical problem-posing and could confirmed for the children to admit themselves its merits through analyzing some questions to ask their opinions to it. I expect that this study can help to develop the teaching and learning materials for mathematical problem-posing and also to improve its methods of elementary school mathematics. The next study task is, I think, that it is necessary to accumulate the studies to investigate and analyse the practical learning activities of children for problem-posing contents of mathematics text books.

• Journal of Elementary Mathematics Education in Korea
• /
• v.14 no.3
• /
• pp.567-581
• /
• 2010

The basic direction of mathematical education for a 21st century is focused on helping student to understand mathematics and develop their problem solving abilities, mathematical dispositions and mathematical thinking. Elementary mathematics teachers should help students make sense of mathematics, confident of their ability, and make learning environment comfortable for students to participate in. The best way is to provide chances to play a game for students, considering educational value of game and new directions for mathematical education. Therefore I would like to develop an mathematical game to conform mathematical ideas, and apply it, as well as strengthen students' mathematical disposition such as confidence, flexibility, interest and curiosity to improve quality of mathematical education. If students are helped to be interested in mathematics through mathematical games, they regard mathematics as interesting and challengeable subject to let themselves think many ways.

• Journal of the Korean School Mathematics Society
• /
• v.14 no.1
• /
• pp.1-29
• /
• 2011

In this study, we designed and constructed a very low-cost electronic board in order to test its efficiency in the classroom as well as provide an easy-to-follow model for front-line teachers to re-create and utilize for their own academic use. For our sample size, we tested 143 high school first grade students. In mathematical achievement, we found meaningful improvement in both genders but we did not find any meaningful gender differences. In the mathematical disposition test, we also found some meaningful changes in curiosity and flexibility in both genders but did not find any meaningful gender differences either. Based on this study, we propose using our low-cost electronic board system, which is easy to make and effective in mathematical achievement, instead of recently promoted high-cost electronic board systems.

• Education of Primary School Mathematics
• /
• v.24 no.4
• /
• pp.217-231
• /
• 2021

The purpose of this study was to investigate the effects of flipped learning through EBSmath on Students' 'rate and ratio' learning. By increasing demands for change in education, an innovative teaching and learning paradigm, 'Flipped Learning', has been presented and drawing attentions. In South Korea, Flipped Learning is also highly recognized for its effectiveness by many scholars and various media. However, this innovative learning model has limitations in application and expansion due to the excessive burden of class preparation of teachers. As remote learning becomes more active, it would be possible to overcome the limitations of Filliped learning by using the platform provided by the Korea Educational Broadcasting System (EBS). EBSmath is an online learning module that is designed to assist students' self-directed learning. Thus, EBSmath would reduce teachers' burden to prepare mathematics classes for the application of Flipped Learning; and led to students' better understanding of mathematical concepts and problem solving. In this study, the effect of Flipped Learning through EBSmath on learning 'rate and ratio' was investigated. In order to scrutinize the effects of flipped learning, students' achievement and mathematical disposition were examined and analyzed. Students' achievement, specifically, was divided into two subcategories: concept understanding and problem solving. As a result, Flipped learning through EBSmath had a positive effect on students' 'rate and ratio' problem solving. In addition, a statistically significant change was identified in the 'willingness', which is subdomain of students' mathematical disposition.

• Communications of Mathematical Education
• /
• v.23 no.2
• /
• pp.327-347
• /
• 2009

The purpose of the present study is to investigate the effects of mathematical communication-centered teaching using peer feedbacks on students' mathematics achievement and mathematical dispositions toward mathematics, and then this study examined the characteristics of feedbacks used by students. To do this study, two sixth grade classes selected from an elementary school in Seoul participated in the current study; one class for a treatment group applying mathematical communication-centered teaching using peer feedback, and the other for a comparison group applying traditional teaching using teacher-centered communication. The results of this study showed the fact that a treatment group of mathematical communication-centered teaching applying peer feedback scored statistically higher than a comparison group applying teacher-centered communication with respect to both students' mathematical achievement and disposition. Especially, this communication-centered teaching program focused on peer feedback was more effective to middle or lower level students than higher level students. In addition, mathematical communication-centered teaching applying peer feedbacks helps students reflect their own thinking process about problem solving, and students experienced the improvement of their confidence about mathematics from opportunities to provide peers with feedbacks. Finally, the present study suggests the important role of communication in mathematics learning, particularly student-to-student feedbacks rather than teacher-to-students feedbacks. That is to say, students need to have many opportunities to represent their own mathematical thinking processes using mathematical language.

• The Mathematical Education
• /
• v.41 no.2
• /
• pp.157-172
• /
• 2002

The purpose of this study is to improve middle students'mathematical communication ability. We designed the mathematics instruction model based on Vygotsky's ZPD to develop the mathematical communication ability, and applied to 2nd grade students in Middle School. And we investigated the significant differences between the group which was instructed with mathematical communication and the group which was instructed with teacher's traditional explanation in aspects of learning achievement, mathematical disposition, and mathematical communication abilities. The results of the study are as follows : 1. There is no significant difference in learning achievement within significance level .05 between the group which was instructed with mathematical communication and the group which was instructed with teacher's traditional explanation by t-test. 2. There is a significant difference in reflection within significance level .01 and in self-confidence within significance level .10 by MANCOVA. 3. There is a significant difference in mathematical communication ability within significance level .01 between two groups by covariance analysis. In particular, there is a significant difference in reading within significance level .01 and in speaking within significance level .05 by t-test.