• Proceedings of the Korea Society of Mathematical Education Conference
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• 2010.04a
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• pp.237-247
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• 2010

Concordance of high school courses of mathematics and physics is a long-known and still-unsolved problem, at least in Russia. Lyceum "Physical-Technical High School" exists for more than 20 years and endeavors to solve this problem. During this work, Lyceum teachers worked out certain ideology of educational content as well as methods of teaching specific topics. Textbooks and workbooks have been written for the Lyceum students by the Lyceum teachers (or in collaboration with them). This article reports on the cumulate experience of the Lyceum in mathematical education of future physicists.

• Research in Mathematical Education
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• v.14 no.1
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• pp.67-77
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• 2010

Concordance of high school courses of mathematics and physics is a long-known and still-unsolved problem, at least in Russia. Lyceum "Physical-Technical High School" exists for more than 20 years and endeavors to solve this problem. During this work, Lyceum teachers worked out certain ideology of educational content as well as methods of teaching specific topics. Textbooks and workbooks have been written for the Lyceum students by the Lyceum teachers (or in collaboration with them). This article reports on the cumulate experience of the Lyceum in mathematical education of future physicists.

• Communications of the Korean Mathematical Society
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• v.34 no.3
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• pp.771-782
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• 2019

We show that mappings preserving unit distance are close to two-isometries. We also prove that a mapping f is a linear isometry up to translation when f is a two-expansive surjective mapping preserving unit distance. Then we apply these results to consider two-isometries between normed spaces, strictly convex normed spaces and unital $C^*$-algebras. Finally, we propose some remarks and problems about generalized two-isometries on Banach spaces.

• Journal of Science Education
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• v.48 no.1
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• pp.47-62
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• 2024

The purpose of this study is to investigate the effects of classes using AlgeoMath on fifth grade elementary students' mathematical problem-solving skills and mathematical attitudes. For this purpose, the 'cuboid' section of the 5th grade elementary textbook based on AlgeoMath was reorganized. A total of 8 experimental classes were conducted using this teaching and learning material. And the quantitative data collected before and after the experimental lesson were statistically analyzed. In addition, by presenting instances of experimental lessons using AlgeoMath, we investigated the effectiveness and reality of classes using engineering in terms of mathematical problem-solving ability and attitude. The results of this study are as follows. First, in the mathematical problem-solving ability test, there was a significant difference between the experimental group and the comparison group at the significance level. In other words, lessons using AlgeoMath were found to be effective in increasing mathematical problem-solving skills. Second, in the mathematical attitude test, there was no significant difference between the experimental group and the comparison group at the significance level. However, the average score of the experimental group was found to be higher than that of the comparison group for all sub-elements of mathematical attitude.

• Communications of Mathematical Education
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• v.28 no.1
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• pp.131-154
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• 2014

The purpose of this study was to examine the effect of essay writing-centered mathematics instruction on problem solving and mathematical deposition in the elementary school. For the present study, two 6th grade classes with equivalent achievement in terms of problem solving and mathematical disposition based on the pretest. A total of 15 mathematics lessons focused on writing activities were administered to the experiment group for two months, while the textbook-based traditional lessons were given to the comparison group. Both quantitative and qualitative methods were adopted to analyze the data. The results of the present study showed that essay writing-centered mathematics teaching is statistically superior that the textbook-based mathematics teaching with respect to students' problem solving and mathematical disposition. In addition, it was evidenced that essay writing-centered mathematics instruction makes an influence on students' perceptions toward essay-based assessment in a positive way.

• Journal of the Korean Mathematical Society
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• v.44 no.4
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• pp.949-970
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• 2007

By considering a bridge between Bram-Halmos and Embry characterizations for the subnormality of cyclic operators, we extend the Curto-Fialkow and Embry truncated complex moment problem, and solve the problem finding the finitely atomic representing measure ${\mu}$ such that ${\gamma}_{ij}={\int}\bar{z}^iz^jd{\mu},\;(0{\le}i+j{\le}2n,\;|i-j|{\le}n+s,\;0{\le}s{\le}n);$ the cases of s = n and s = 0 are induced by Bram-Halmos and Embry characterizations, respectively. The former is the Curto-Fialkow truncated complex moment problem and the latter is the Embry truncated complex moment problem.

• School Mathematics
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• v.16 no.1
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• pp.1-17
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• 2014

Mathematical creativity in school mathematics is connected with problem solving. The purpose of this study was to analyse elementary students' the mathematical creativity using multiple solution tasks which required to solve a mathematical problem in different ways. For this research, I examined and analyzed the response to four multiple solution tasks according to the evaluation system of mathematical creativity which consisted of the factors of creativity(fluency, flexibility, originality). The finding showed that mathematical creativity was different between students with greater clarity. And mathematical creativity in tasks was different. So I questioned the possibility of analysis of students' the mathematical creativity in mathematical areas. According to the evaluation system of mathematical creativity of this research, mathematical creativity was proportional to the fluency. But the high fluency and flexibility was decreasing originality because it was easy for students to solve multiple solution tasks in the same ways. So, finding of this research can be considered to make the criterion in both originality in rare and mathematical aspects.

• Bulletin of the Korean Mathematical Society
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• v.24 no.1
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• pp.27-29
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• 1987

• 대한공업교육학회지
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• v.30 no.1
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• pp.37-45
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• 2005

The purpose of this study is to find out the relationship between the Multiple Intelligence and the technological problem solving and the differences between the two. There were a group of 200 third grade middle school students that were comprised of 100 boys and 100 girls and what the difference is exited between the boys and the girls. To measure the students' Multiple Intelligence, MI(Multiple Intelligent)Test designed by Youngrin, Moon was used. As the testing instrument of the Technological problem Solving, we use the test developed by National Center for Research on Evaluation, Standards, and Students Testing(CRESST). The results were; First, In comparison with the boys and girls' multiple intelligence part, there were individual differences in musical intelligence, bodily-kinesthetic intelligence, logical-mathematical intelligence, and naturalistic intelligence of multiple intelligence. Second, In comparison to the technological problem solving part, there were individual differences in self-regulation and there was a mild difference in understanding of the contents. Third, The multiple intelligence related with the self-regulation is continuous with logical-mathematical intelligence, intra-personal intelligence and linguistic intelligence. Fourth, The multiple intelligence related with the technological problem solving strategy is continuous with logical-mathematical intelligence and musical intelligence. Fifth, The multiple intelligence related with the understanding of the contents is continuous with the logical-mathematical intelligence and naturalistic intelligence. To improve the students' technological problem solving ability, it is required the development of the curriculum which focus on the improvement of logical-mathematical intelligence, musical intelligence, intra-personal intelligence, linguistic intelligence and naturalistic intelligence of the students.

• The Mathematical Education
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• v.60 no.4
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• pp.431-449
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• 2021

Elementary mathematics textbooks present contents for enhancing problem solving competency. Still, teachers find teaching problem solving to be challenging. To understand the supports textbooks are suggesting, this study examined tasks from the challenging/thinking and inquiry mathematics. We analyzed 288 mathematical activities based on an analytic framework from the 2015 revised mathematics curriculum. Then, we employed latent class analysis to classify 83 mathematical tasks as a new approach to categorize tasks. As a result, execution of the problem solving process was emphasized across grade levels but understanding of problems was varied by grade levels. In addition, higher grade levels had more opportunities to be engaged in collaborative problem solving and problem posing. We identified three task profiles: 'execution focus', 'collaborative-solution focus', 'multifaceted-solution focus'. In Grade 3, about 80% of tasks were categorized as the execution profile. The multifaceted-solution was about 40% in the thinking/challenging mathematics and the execution profile was about 70% in Inquiry mathematics. The implications for developing mathematics textbooks and designing mathematical tasks are discussed.