• Journal of the Korean School Mathematics Society
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• v.22 no.3
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• pp.221-240
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• 2019

The purpose of this study is to suggest Reciprocal Peer Tutoring(RPT) for mathematics underachieving students as one way of the instructional strategies to supplement their lack of mathematics learning and to provide them with successful experiences in learning mathematics. We defined underachieving student in mathematics as the student whose mathematics achievement was high or middle level in the middle school but became lower in high school. Four mathematics underachievers voluntarily participated in this study. We examined the effects and roles of RPT by focusing on their positive change in the affective domain. RPT was conducted for about three months, including pre-training, pretest, and posttest. As the results of this research, RPT has generally made positive changes in the affective domain of underachieving mathematics students. Although four students did not show the same pattern of change and the sub-elements of positive change were different for each student, RPT provided opportunities for 4 all students to experience positive change.

• Communications of Mathematical Education
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• v.27 no.4
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• pp.407-428
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• 2013

The purpose of this research is to develop an effective teaching-learning model and suggest efficient methods for improving the learning abilities in mathematics of the students of engineering college. For this purpose, we examined their learning styles and learning attitudes toward Mathematics, which are important factors in teaching-learning process, and analyzed the relation between them. As a result, we found that participants had a disposition of being dependent and highly participating, so we made an effort to develop a teaching-learning model which can make the students active and highly involved in. After applying the developed teaching-learning model to Engineering Mathematics class for one semester, we conducted survey of the participants' responses. In conclusion, we found that this model is very helpful for Engineering students to utilize a self-directed learning by diagnosing and adjusting their learning process in Meta-cognitive way. Also, it is confirmed that this model has a considerable influence in which students can actively participate in class and have positive attitude to Mathematics learning.

• Education of Primary School Mathematics
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• v.16 no.2
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• pp.123-145
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• 2013

This study was expected to yield the meaningful conclusions from the experimental group who took lessons based on inductive activities using GeoGebra at the beginning of proof learning and the comparison one who took traditional expository lessons based on deductive activities. The purpose of this study is to give some helpful suggestions for teaching proof to mathematically gifted elementary students. To attain the purpose, two research questions are established as follows. 1. Is there a significant difference in proof abilities between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? 2. Is there a significant difference in proof attitudes between the experimental group who took inductive lessons using GeoGebra and comparison one who took traditional expository lessons? To solve the above two research questions, they were divided into two groups, an experimental group of 10 students and a comparison group of 10 students, considering the results of gift and aptitude test, and the computer literacy among 20 elementary students that took lessons at some education institute for the gifted students located in K province after being selected in the mathematics. Special lesson based on the researcher's own lesson plan was treated to the experimental group while explanation-centered class based on the usual 8th grader's textbook was put into the comparison one. Four kinds of tests were used such as previous proof ability test, previous proof attitude test, subsequent proof ability test, and subsequent proof attitude test. One questionnaire survey was used only for experimental group. In the case of attitude toward proof test, the score of questions was calculated by 5-point Likert scale, and in the case of proof ability test was calculated by proper rating standard. The analysis of materials were performed with t-test using the SPSS V.18 statistical program. The following results have been drawn. First, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in proof ability than the comparison group who took traditional proof lessons. Second, experimental group who took proof lessons of inductive activities using GeoGebra as precedent activity before proving had better achievement in the belief and attitude toward proof than the comparison group who took traditional proof lessons. Third, the survey about 'the effect of inductive activities using GeoGebra on the proof' shows that 100% of the students said that the activities were helpful for proof learning and that 60% of the reasons were 'because GeoGebra can help verify processes visually'. That means it gives positive effects on proof learning that students research constant character and make proposition by themselves justifying assumption and conclusion by changing figures through the function of estimation and drag in investigative software GeoGebra. In conclusion, this study may provide helpful suggestions in improving geometry education, through leading students to learn positive and active proof, connecting the learning processes such as induction based on activity using GeoGebra, simple deduction from induction(i.e. creating a proposition to distinguish between assumptions and conclusions), and formal deduction(i.e. proving).

• The Mathematical Education
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• v.43 no.3
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• pp.233-255
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• 2004

Problem solving in math education is of great importance. The interest on problem solving in math education is growing all over the world. Problem solving ability is important throughout the fourth-sixth national curriculum in Korea and this is also necessary in the seventh national curriculum. The writer has implemented a proper model for problem posing and this is also necessary in the seventh national curriculum that emphasizes self-leading for improvement in the classroom. This model has advantages to cultivate a good habit of students who tries to solve the problems with concrete strategies, to take part in the problem solving activity and to change their mathematical attitude.

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

• Communications of Mathematical Education
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• v.25 no.2
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• pp.403-430
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• 2011

The purpose of the study was to investigate how the use of graphing calculators influence on forming students' mathematical concept of algebra, students' mathematical connection, and attitude toward mathematics. First, graphing calculators give instant feedback to students as they make students compare their written answers with the results, which helps students learn equations and linear inequalities for themselves. In respect of quadratic inequalities they help students to correct wrong concepts and understand fundamental concepts, and with regard to functions students can draw graphs more easily using graphing calculators, which means that the difficulty of drawing graphs can not be hindrance to student's learning functions. Moreover students could understand functions intuitively by using graphing calculators and explored math problems volunteerly. As a result, students were able to perceive faster the concepts of functions that they considered difficult and remain the concepts in their mind for a long time. Second, most of students could not think of connection among equations, equalities and functions. However, they could understand the connection among equations, equalities and functions more easily. Additionally students could focus on changing the real life into the algebraic expression by modeling without the fear of calculating, which made students relieve the burden of calculating and realize the usefulness of mathematics through the experience of solving the real-life problems. Third, we identified the change of six students' attitude through preliminary and an ex post facto attitude test. Five of six students came to have positive attitude toward mathematics, but only one student came to have negative attitude. However, all of the students showed positive attitude toward using graphing calculators in math class. That's because they could have more interest in mathematics by the strengthened and visualization of graphing calculators which helped them understand difficult algebraic concepts, which gave them a sense of achievement. Also, students could relieve the burden of calculating and have confidence. In a conclusion, using graphing calculators in algebra and function class has many advantages : formulating mathematics concepts, mathematical connection, and enhancing positive attitude toward mathematics. Therefore we need more research of the effect of using calculators, practical classroom materials, instruction models and assessment tools for graphing calculators. Lastly We need to make the classroom environment more adequate for using graphing calculators in math classes.

• Journal of the Korean School Mathematics Society
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• v.12 no.3
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• pp.319-345
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• 2009

Nowadays the researches on the reading materials about Mathematics are emphasized and quitely active. But most researches have just proposed the lists of books or materials of the reading activities in Mathematics. Therefore we choose the subject for this study as the analysis of the characteristic attitudes about Mathematics for 3-leveled (high, middle, low) high-school students who have studied Mathematics using the reading activities. After the applications of reading activities for leveled students, we have the following results. For the low-leveled students, the high-leveled(=difficult to understand) reading materials may loose the confidence and interest about Mathematics. The appropriate reading materials for leveled students will increase the interest and change the attitude about Mathematics. We expect that the reading activities in Mathematics extend the logical and rational thinking power that our society has required.

• Journal of Elementary Mathematics Education in Korea
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• v.14 no.1
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• pp.23-41
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• 2010

This research applies the climbing learning method that, a Japanese professor, Saito Noboru established and practiced, to fourth and sixth graders in an elementary school in order to analyze its effect on mathematical creativity, attitude toward mathematical creativity, so called CAS(Creative Attitude Scale) and academic achievement of the subject. The goal is to explore methods that can enhance students' mathematical creativity. To address these tasks, the research developed a teaching-learning scheme and learning structure chart that applies the climbing learning method. Next, the research organized two homogeneous groups among 124 students in fourth and sixth grades in S elementary school, located in the city of Busan. The experiment group went through classes that applied climbing learning method, while the control group received regular teaching. The following describes the research findings. After the experiment, the research conducted t-test for the independent sample based on the test result in terms of mathematical creativity, CAS and academic achievement of the subject. For mathematical creativity, all four constructing factor showed statistically significant differences at significance level of 5%. For CAS, statistically significant difference was revealed at significance level of 0.1%. However, in regard to a test of academic achievement for fourth and sixth graders, statistically significant difference was not detected at significance level of 5% even though the average score of the students in the experiment group was higher by 6 points. The research drew the following conclusion. Firstly, classes that apply climbing learning method can be more effective than regular classes in enhancing mathematical creativity of elementary school students. Secondly, the climbing learning method has positive impact on inclination for mathematical creativity of elementary school students. The research suggests that the climbing learning method can be an effective teaching-learning tool to improve students' mathematical creativity and inclination for mathematical creativity.

• 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.

• The Mathematical Education
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• v.58 no.1
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• pp.21-39
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• 2019

This study examines the longitudinal effect of goal perception, mathematics class factors(perceptions about mathematics teachers (PMT), mathematics classroom attitude), and mathematics academic achievement. This study consists of three research models. First, we examined the longitudinal change of goal perception, perceptions about mathematics teachers (PMT), mathematics classroom attitude, and mathematics academic achievement using latent growth curve modeling. Secondly, the slope of PMT is a critical mediator between the slope of goal perception and the slope of mathematics academic achievement. Finally, the slope of mathematics classroom attitude is a critical mediator between the slope of goal perception and the slope of mathematics academic achievement. Data were extracted from Seoul Education Longitudinal Study from 2010 to 2012 (in three waves), and the analysis used by middle school students, measured by 4163 students of the three-wave surveys. Latent growth modeling was applied to verify the research problems. The results of the research are as follows. First, the slope of goal perception had positive and significant effects on the slope of PMT and mathematics classroom attitude, respectively. Second, the slope of PMT and mathematics classroom attitude had positively significant effects on the slope of mathematics academic achievement. Finally, it was confirmed that the slopes of PMT and mathematics classroom attitude are critical mediators between the slope of goal perception and the slope of mathematics academic achievement.