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

• Communications of Mathematical Education
• /
• v.23 no.1
• /
• pp.1-38
• /
• 2009

This study investigates the relationships of perfectionism and the affective traits(academic self-concept, learning attitude, interest, mathematical anxiety, learning habits) in mathematics between the gifted students and the regular students in Korean Middle Schools. The findings of this study can be used for the understanding of the gifted students, and as data or resources for counsellors when they advise the gifted students on enhancing study strategies and developing future courses. This study was investigated by measuring the relationships between perfectionism and the affective traits on mathematics between two groups. Here, the correlation analysis, t-test, and regression analysis of the SPSS for Window 12.0 Program were applied to measure the differences of both groups. Therefore, there were no differences in perfectionism between the gifted students and the regular students. But the self-oriented perfectionism of the gifted students appeared higher compare with regular students. The affective traits in mathematics of the gifted students appeared more positive compare with regular students. There were a few correlations between the perfectionism and the affective traits in mathematics at two group all. however the self-oriented perfectionism and the affective traits in mathematics showed to correlation. There were several suggestions based on the results of this study. First, the results showed that professional assistance is needed for the gifted students so that their perfectionism flows positively into developing their gifts. Secondly, the results suggested that specialized mathematical program reflecting on the affective traits of the gifted students in mathematics should be offered.Lastly, tthe results of this study suggested a researcher regarding relevance with perfectionism and affective traits regarding subject shall be performed more. The result of research shall be included to contents of training for the gifted students and their parents.

• School Mathematics
• /
• v.7 no.4
• /
• pp.319-336
• /
• 2005

This study is to find the properties of Diffy activity and to investigate the problems and conjectures which could be posed in the Diffy activity. The Diffy is a simple subtracting activity. But, 1 think it is a field where the mathematical thinking can take place. I proposed some problems and conjectures which can be posed. I solved the problems using excel and the software I developed and proposed the related data. I think such problems and the data will be the good materials for elementary students and gifted to think mathematically with.

• Journal of Elementary Mathematics Education in Korea
• /
• v.15 no.2
• /
• pp.247-282
• /
• 2011

In the elementary school mathematics textbooks of the 7th national curriculum, just simple construction education is provided by having students draw a circle and triangle with compasses and drawing vertical and parallel lines with a set square. The purpose of this study was to examine the mathematical thinking of sixth-grade elementary school students in the construction process in a bid to give some suggestions on elementary construction guidance. As a result of teaching the sixth graders in gifted and nongifted classes about the equal division of line segments and evaluating their mathematical thinking, the following conclusion was reached, and there are some suggestions about that education: First, the sixth graders in the gifted classes were excellent enough to do mathematical thinking such as analogical thinking, deductive thinking, developmental thinking, generalizing thinking and symbolizing thinking when they learned to divide line segments equally and were given proper advice from their teacher. Second, the students who solved the problems without any advice or hint from the teacher didn't necessarily do lots of mathematical thinking. Third, tough construction such as the equal division of line segments was elusive for the students in the nongifted class, but it's possible for them to learn how to draw a perpendicular at midpoint, quadrangle or rhombus and extend a line by using compasses, which are more enriched construction that what's required by the current curriculum. Fourth, the students in the gifted and nongifted classes schematized the problems and symbolized the components and problem-solving process of the problems when they received process of the proble. Since they the urally got to use signs to explain their construction process, construction education could provide a good opportunity for sixth-grade students to make use of signs.

• Journal of Elementary Mathematics Education in Korea
• /
• v.14 no.2
• /
• pp.263-285
• /
• 2010

It is necessary to accumulate the studies on the practical learning and teaching for the Mathematical talent education in elementary school. In this study, I set the 4th grade children mathematically gifted in elementary school to pose the various number calculating formulars, 4 4 4 4 = 0, 1, 2,$\cdots$10, by using to +, -, ${\times}$, $\div$, ( ). And I analysed their products. In 2007, I gave the same task to 5th graders and got a significant result. To expand the target of my study, I used the same investigating method for children of different graders. As a result, I conclude that math brains in 4th grade also can create various many number calculating formulas. I find that children pose to various many calaulating formulars becoming 0, 1, 8, 4 in order whereas they pose to a little calaulating formulars becoming 10, 6, 5, 9 orderly. Most errors are due to the order of calculation or confusion about parenthesis. This study contributes to test methods and text development for math brains in elementary school.

• Journal of the Korean School Mathematics Society
• /
• v.20 no.4
• /
• pp.405-422
• /
• 2017

Nim games were divided into three stages : one file, two files and three files game, and inquiry activities were conducted for middle school mathematically gifted students. In the first stage, students easily found a winning strategy through deductive reasoning. In the second stage, students found a winning strategy with deductive reasoning or inductive reasoning, but found an error in inductive reasoning. In the third stage, no students found a winning strategy with deductive reasoning and errors were found in the induction reasoning process. It is found that the tendency to unconditionally generalize the pattern that is formed in the finite number of cases is the cause of the error. As a result of visually presenting the binary boxes to students, students were able to easily identify the pattern of victory and defeat, recognize the winning strategy through game activities, and some students could reach a stage of justifying the winning strategy.

• Journal of The Korean Association of Information Education
• /
• v.18 no.4
• /
• pp.529-540
• /
• 2014

We propose an efficient information science teaching-learning method to improve information-scientific creativity of mathematically and scientifically gifted students. The students are able to improve their creative problem solving and team-work abilities through team project work to resolve a variety of application problem in real world. In the pursuit of this purpose, we designed a new two-stage information science learning method consisted of the standard stage and the application stage, and a new systemic project process. Moreover, we applied small-scale cooperation learning strategies and a multi-dimensional assessment system. The analysis on our proposed model shows that there is a remarkable achievement of educational objectives on cognitive capability, social and affective ability of information science creativity.

• Communications of Mathematical Education
• /
• v.29 no.1
• /
• pp.91-110
• /
• 2015

The purpose of this study is to investigate the understanding of pi of elementary gifted students and explore improvement direction of teaching pi. The results of this study are as follows. First, students understood insufficiently the property of approximation, constancy and infinity of pi from the fixation on 'pi = 3.14'. They mixed pi up with the approximation of pi as well. Second, they had a inclination to understand pi as algebraic formula, circumference by diameter. Third, few students understood the property of constancy and infinity of pi deeply. Lastly, the discussion activity provided the chance of finding the idea of the property of approximation of pi. In conclusion, we proposed several methods which improve the teaching of pi at elementary school.

• The Mathematical Education
• /
• v.51 no.4
• /
• pp.351-375
• /
• 2012

This research is a case study of the changes of students's problem solving ability and affective characteristics when we apply to general students MG-CPS model which is creative problem solving model for gifted students. MG-CPS model which was developed by Kim and Lee(2008) is a problem solving model with 7-steps. For this study, we selected 7 first grade students from girl's high school in Seoul. They consisted of three high level students, two middle level students, and two low level students and then we applied MG-CPS model to these 7 students for 5 weeks. From the study results, we found that most students's describing ability in problem understanding and problem solving process were improved. Also we observed that high level students had improvements in overall problem solving ability, middle level students in problem understanding ability and guideline planning ability, and that low level students had improvements in the problem understanding ability. In affective characteristics, there were no significant changes in high and middle level classes but in low level class students showed some progress in all 6 factors of affective characteristics. In particular, we knew that the cause of such positive changes comes from the effects of information collection step and presenting step of MG-CPS model.

• The Mathematical Education
• /
• v.55 no.2
• /
• pp.147-169
• /
• 2016

This study analyzes the mathematical creativity test as an illustrative example with scoring domains of fluency, flexibility and originality in order to make suggestions for obtaining maximum reliability based on a composite score depending on combinations of each scoring domain weights. This is done by performing a multivariate generalizability analysis on the test scores, which were allowed to access publicly, of 30 mathematically gifted elementary school students, and therefore error variances, generalizability coefficients, and effective weights have been calculated. The main results were as follows. First, the optimal weights should adjust to .5, .4, and .1 based on the maximum generalizability coefficient even though the original weights in the mathematical creativity test were equal for each scoring domain with fluency, flexibility and originality. Second, the mathematical creativity test using the three scoring domains of fluency, flexibility, and originality showed higher reliability than using one scoring domain such as fluency. These results are limited to the mathematical creativity test used in this study. However, the methodology applied in this study can help determine the optimal weights depending on each scoring domain when the tests constructed in various researchers or educational fields are composed of multiple scoring domains.