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

• Journal of the Korean School Mathematics Society
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• v.22 no.1
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• pp.1-21
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• 2019

Mathematics is one of the subjects in which learners seriously experience under-achievements in school education. Middle school level mathematics especially plays such a role as a bridge between elementary level informal mathematics and high school level formal mathematics that learners' under-achievements in the middle school level mathematics may yield more serious under-achievements later. Therefore it is crucial to prevent learners' later under-achievements that we analyze the status of under achievements including analysing various under-achievers' errors in the middle school level mathematics. From this point of view, we analysed errors of mathematics under-achievers in understanding the concept of the square root of positive numbers and related calculations in this paper. As the results of our research, we found some unexpected errors of 'some mathematics under-achievers regarding the mathematical symbol ${\surd}$ of square root as a parenthesis ( ), and others interpret $x=-2{\pm}{\sqrt{10}}$ as x=-2 or ${\pm}{\sqrt{10}}$.' that suggest the necessity of more various and in-depth discussions and researches of analysis on learners' errors and misconceptions in all areas of school mathematics.

• Journal of the Korean School Mathematics Society
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• v.10 no.3
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• pp.323-340
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• 2007

This study set out to analyze the learning types that most students were engaged in after school, to review the efficiency of private education through academic institutions or tutoring, and to examine the directions in the after-school learning in math under the current system. It also aimed to analyze the impacts of those after-school learning activities on school classes and to suggest some plans to help public education get back on the track. In the study the after-school learning activities in the math subject were categorized into taking classes at academic institutions, tutoring, and autonomous learning. The grades of the subject students were compared and analyzed for three semesters to find the directions right for the school classes.

• School Mathematics
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• v.2 no.2
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• pp.475-487
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• 2000

As a result of carrying out t-test against the learning activity that used the learning materials designed by level, significant disparity was found. Thus, it was found that hte effect of this learning activity became more visible with lapse of time. But the major cause by which there appeared small significant disparity as a result of testing is that the units of experiment were limited and that the period of using the learning materials was not long. In an analysis on the results of interest test, the experimental class also appeared to show the average score that was higher than that of the comparative class by 0.10 after converting a decimal point. The outcome of attitude test was that the experimental class showed a higher average score by 0.11, as a result of converting a decimal point, than that of the comparative class. So, a large number of students showed an improved reaction. But, there seemed some problems of the learning materials or the method of progressing the activity in changing under achievement students or students who avoided studying math. When the effect of the level-based learning activity was investigated, more than 80% of the experimental class’s students showed a positive reaction. Thus, it could be judged that students, who felt some burden at studying math, might be served more largely, not by teacher’s uniform instruction, but by an individual learning using the level-based learning materials that enabled them to do a systematic self-learning for themselves.

• Journal of Elementary Mathematics Education in Korea
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• v.24 no.2
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• pp.187-205
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• 2020

The purpose of this study is to develop the elementary mathematics education program for the cultivation of humanistic imagination and characters through the link between mathematics and literature to find out its effectiveness. This study has verified the effectiveness of mathematics academic achievement, humanistic imagination and characters with the program development and preliminary program and application of this program for two years. After conducting classes on proportional expression and proportional distribution for 79 sixth-grade elementary school students (39 in the experimental class and 40 in the comparative class) in Seoul and Gyeonggi-do under this program, the researcher analyzed how the application of the program affects students' perception using pre- and post-examinations on mathematics academic achievement, humanistic imagination, and characters, including interviews with students, and analysis of outputs of the students. Studies have shown that the application of the elementary mathematics education program to foster humanities imagination and characters did not make any significant difference in mathematics academic achievement, and there were statistically significant differences in the subcategories of "reflection on life", "positive self-consciousness" and "humanistic imagination" categories, and there were no statistically significant differences in the "purpose of life" and "human relations" categories. However, the responses from the students' interviews showed that their perspectives of humans and the world has become wider and deeper. It also did not produce significant results for characters. As suggestions, the ministry should present the need to develop and distribute concerning materials for teachers, secure time for creative experience activities for convergence subjects, and operate practical and long-term training programs for teachers.

• Education of Primary School Mathematics
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• v.1 no.2
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• pp.85-95
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• 1997

Recently, by the popularization of computers and the development of many kinds of information transmission software, the living pattern in business offices and in home-life have changed rapidly. Because of the great progression of today's science technology, the influence of social education on the children is larger than that of the traditional school.. By a rapid change in the social atmosphere, there are some people who insist the traditional school education system is of no use any more. There have been many calls for reform of traditional schooling and in particular there has been major rethinking of school mathematics. The initial demand for change in elementary school mathematics is because of the poor achievement of students. There are even more compelling reasons for change. For example today's science technology society requires a different mathematical literacy for its citizens than that of the past. The importance of problem-solving based on interest and progress is more important than just paper-pencil computation in elementary schools. And also the increasing information wave of today's society demands that the school accept the long-distance education which could not be imagined in the past. Taking account of this variety, school education in the future should willingly introduce and apply the open education system to keep pace with today's society. To accept society demands actively, today's schools are going to accept and apply the idea of the open education. In this viewpoint, the purpose of the paper is to analyze the causes of under-achievement in mathematics teaming, the directions of school mathematics education, the system of textbooks and the problems of teaching-learning programs and paper-pencil test.

• Journal of Educational Research in Mathematics
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• v.9 no.1
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• pp.279-294
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• 1999

The level-based task learning had an effect on enhancing the math achievement of enrichment and ordinary classes. Besides, the analysis of mathematical attitude change showed that the level-based task learning took effect in the experimental class in every domain, including self-confidence, flexibility, will power, reaction and value, while it made little difference to the comparative class. The findings were as follows in detail. 1. The Outcome of the Achievement Test 1) The Enrichment Class In the first two tests, there were little differences in the enrichment class, But the disparity between the experimental and comparative classes became larger as this study advanced with 4.3 for the third test, 6.4 for the fourth and 6.1 for the fifth. 2) The Ordinary Class In the first to fifth achievement tests, the ordinary class made less difference than the enrichment class did. But there appeared some effect as this study progressed, since the mean grade disparity between the experimental and comparative classes was 2.1 for the first test, 3.5 for the second, 3.9 for the third, 4.4 for the fourth and 6.3 for the fifth. 3) The Supplementary Class The supplementary class showed no big difference in the first two tests. But, like the ordinary class, there was some effect with the lapse of the third 2.9 for the test, 3.2 for the fourth and 4.1 for the fifth. 2. The Change of Mathematical Attitude 1) The Experimental Class The task learning by level had a great deal of effect on the experimental class, as the pre-and post-comparative analyses showed that this class's grades were 5.1 for self-confidence, 10.8 for flexibility, 11.3 for will power, 9.7 for curiosity, 10.9 for reaction and 2.8 for value. 2) The Comparative Class The relative comparison between the comparative class and experimental class revealed that there was a hole effect on the comparative class. 3. The Outcome of Questionnaire Survey 1) They showed a positive reaction, as 40.1% of them answered the level-based task loaming served to raise their achievement, and 48.0% told so-so, and 11.9% replied they weren't helped by it. 2) The results after the experiment were;37.8% of the students say they under- stood practically everything while 12.6% of them say they under stood almost half. 3) The will to learn after the experiment shows dramatic changes between the two classes, The students in the enrichment class showed better will to learn than the students in the ordinary and supplementary classes did.

• Journal of the Korean School Mathematics Society
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• v.10 no.4
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• pp.487-504
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• 2007

Although there was an introduction of the class with in mind learner's individual learning ability as a method improving problems of the class which consists of students with various kinds of levels, it was a burden to both teacher and students because of many realistic problems. In this paper, we investigate the efficiency of peer tutoring teaching method which is the one that students having a superior ability for learning become peer tutors and they teach other peer tutee under the teacher's guidance and supervision. After we apply the class-wide peer tutoring to some sophomore classes, we obtain that this teaching method affects positively the students's learning achievement and learning attitude in mathematics class. In particular, we obtain that the peer tutoring is more effective in three to one group than in one to one group.

• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.633-647
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• 2005

The rapid change in school mathematics curricula occurred over last some periods requires lots of change or improvement in the education method for the university mathematics, especially in calculus. As an effort in this direction we restrict our concern to the freshmen of year 2002 of the Korea university of technology and education to investigate a correlation between their mathematics score on the national entrance examination and achievement score measured by their final grades in a calculus course. As a result of this research we propose a step-wise level educational model for the calculus education. In the model an appropriate teaching contents and method proceeding through the three steps are suggested and implementation issues are discussed. We believe that carrying out mathematics curricular are suggested in the model will be of service to calculus education particularly for student under the 7th national curriculum reform.

• Journal of Educational Research in Mathematics
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• v.25 no.3
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• pp.347-366
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• 2015

There are a lot of causes of under-achievement in elementary mathematics, one of which may be lack of previous learning elements. We focus on the understanding of place value. The purpose of this study is to analyze underachievers' levels of understanding of place value concepts and to find the types of place value tasks that they have had special difficulty. For this purpose, an individual test called as "the Six Tasks of Place Value(SToPV)"was applied to ten third grade mathematics underachievers in elementary school. The test is a type of place value concept tests and requires one-on-one interview with some preparation materials. The participants' reactions were analysed according to the framework by Berman(2011). The result of analysis shows that third grade mathematics underachievers tend to have a great difficulty understanding the place value concepts. Also the types of difficult tasks were various from individual to individual. Based on the test results and discussion, we suggested some implications for diagnosing place value concepts of mathematics underachievers.