• 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).

• Journal of the Korean School Mathematics Society
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• v.22 no.2
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• pp.115-132
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• 2019

This study investigated results of bilingual learning of mathematics in teaching quadratic functions at an international high school in South Korea. Unlike a Korean traditional public school, this international school has provided bilingual learning. 10th grade students enrolled two math classes, Algebra II that was taught in English through CCSS and High School Mathematics I that was taught in Korean through the Korean National Math Curriculum. In order to collect information on students' behaviors and math achievement, we analyzed students' academic back grounds, mathematical abilities, results of interviews, observations, questionnaires and assessments. The results of this study include specific benefits. Bilingual learning of mathematics is effective as a method to improve Korean students' mathematical abilities and attitudes as well as positive influence on Korean mathematics education.

• Journal of The Korean Association For Science Education
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• v.27 no.9
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• pp.848-853
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• 2007

The purpose of this study was to investigate the relationships among scientifically gifted students' science related attitudes, learning motivation and learning strategy. Subjects were 135 middle school students enrolled at a Center for Science Gifted and Talented Education. There was no difference among talented divisions according to science related attitudes. But the score of the female students were higher than that of the male in learning motivation and learning strategy. Some significant correlation coefficients were between learning motivation and learning strategy. Also significant correlation coefficients were among 'career interest in science' domain, 'leisure interest in science' and 'social implication of science.'

• Journal of Elementary Mathematics Education in Korea
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• v.13 no.1
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• pp.51-74
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• 2009

The purpose of this study is to search for various strategies that could self-regulated learning within cyber home study efficiently, to operate the cyber home study based on such strategies, to manage and support students' learning and to investigate what effects it would have on the ability of self-regulated learning and attitude. In this study, an operational strategy for cyber home study according to the compositional elements of self-regulated learning based on prior studies. Then, the study developed the learning contents of cyber home study and operated cyber home study according to the operational strategy. From the results of the analysis obtained in this study, the following conclusions can be drawn as follows. First, A learner's self-regulated learning capability is able to be improved by self-regulated leaning strategies. Cyber home study that would enable students to implement the leaning on their own through learning contents and operating strategies corresponding to them was the environment that could help their self-regulated learning. Second, in order to find out students' satisfaction for the application of cyber home study, the study compared the survey of cyber home study with the frequency and percentage by each question and the mean value of technical statistics. Cyber home study let students have positive recognition on mathematical learning, and especially as shown in the results of the interview, it was helpful to improve students' interest and confidence as well as their mathematical learning.

• Journal of the Korean School Mathematics Society
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• v.11 no.2
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• pp.315-335
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• 2008

This study is to recognize importance of casing anxiety on mathematics for underachievers and to examine a plan to solve a problem with anxiety, by analyzing factors which make underachievers anxious on the mathematics. First, we analyze factors which make mathematical underachievers anxious on the mathematics. Second, we compare and analyze a level of anxiety on the mathematics and factors which cause anxiety on the mathematics according to their grade and gender. This study's participants were 308 mathematical underachievers at 4th, 5th, and 6th grade, studying at six different elementary schools in three different areas. The results of factors which make mathematical underachievers anxious on the mathematics obtained from the survey are as follows. First, in the top-category factor, mathematical underachievers are influenced by following factors in order, which are a mathematic subject, learner's attitude, environment, and a teacher. Second, in the factor of making students anxious on the mathematics according tn their grade, although the mathematic anxiety of students at 6th grade is higher than students at 4th and 5th grade, in the anxiety differences between the different grades. Third, in the factors which make the students anxious on the mathematics according to their gender, female students show more anxiety than male students. In summary, an anxiety of the underachievers at the elementary schools are different in the top and sub-category factor, according to their grades and their gender. It is shown that the underachievers feel more anxiety compared to normal elementary schools, and therefore the anxiety on the mathematics is one of the causes of under-achievement of the mathematics.

• Journal of Elementary Mathematics Education in Korea
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• v.18 no.1
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• pp.149-168
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• 2014

Growing in its size, the contents of the teaching-learning programs for mathematically gifted children from A program in Seoul Metropolitan Office of Education were examined in terms of the individual subjects provided through the courses of gifted education programs, and it was evaluated based on the revised version of the existing module. As a result, the educational objectives of teaching-learning program were clear, differentiated and obtainable. Among the program, the advanced parts were more than the selective parts, which mainly consisted of numbers and calculation, shapes, regularity and problem solving parts and had latest contents of research in balance. Additionally, every part of the program needs mathematical and creative thinking and approach and has proper evaluation index for problem solving. The presented materials in the programs are specific and appropriate, though some of them did not suggest the evaluation index for cultivating personality and value clearly and the reference books. The teaching-learning programs were focusing on problem-based learning and cooperative learning and using performance assessment for evaluation.

• Journal for History of Mathematics
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• v.19 no.4
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• pp.133-150
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• 2006

This study is to investigate the effects of a mathematics history lecture on elementary students' math learning. Pre- and post-tests were done for 33 6th grade students before and after 3-units of mathematics history lecture by a mathematician. The results show that the lecture improved students' interests and confidence on math. Especially, the tests present a positive change in students' attitudes on math and results in an increased curiosity on and willingness to study math. This study shows a consistent result with previous studies of teaming effects of introducing mathematics history in math. This study also highlights that even 3-units of math history lecture can significantly improve students' attitude and belief on math learning. Given the positive effects of math history lecture on students' math loaming, it is implicated that math history be included in the formal elementary math curriculum and more participation of math history experts in math.learning processes is needed.

• Communications of Mathematical Education
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• v.23 no.1
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• pp.85-108
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• 2009

The purposes of the study were to develop instructional materials based on Freudenthal's guided reinvention principle for teaching proofs and to investigate how the teaching method based on guided reinvention principle affects on 8th grade students' ability to write proofs and learning attitude toward proofs. Teaching based on guided reinvention principle placed emphasis on providing students opportunities to make a mathematical statement and prove the statement by themselves throughout various activities such as exploring, conjecturing, and testing the conjectures. The study found that students who studied proving with instructional materials developed by guided reinvention principle showed statistically higher mean scores on the posttest than students who studied by a traditional teaching method depending onteacher's explanation. Especially, on the posttest item which requested to prove a whole statement without presenting a picture corresponding to the statement, a big difference among students' responses was found. Many more students in the traditional group did not provide any response on the item. According to the results of the questionnaire regarding students' learning attitudes, the group who studied proving by guided reinvention principle indicated relatively more positive attitudes toward learning proofs than the counterparts.

• 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 Gifted/Talented Education
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• v.20 no.2
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• pp.461-486
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• 2010

By learning math, constructing math problems helps us to improve analytical thinking ability and have a positive attitude and competency towards math leaning. Especially, gifted students should create math problems under certain circumstances beyond the level of solving given math problems. In this study, I examined the math problems made by the gifted students after the process of raising questions and discussing them for themselves by doing origami. I intended to get suggestions by analyzing of problem posing strategy and method facilitating the thinking of mathematics gifted students in an origami program.