• School Mathematics
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• v.7 no.4
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• pp.375-389
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• 2005

Whitehead proposed that the education proceed through the rhythmic cycle on the basis of his metaphysical philosophy and educational philosophy. 'The Rhythm of Education' means that the intellectual levels of learners are elevated through the rhythmic cycles of stages of romance, precision, and generalization over and over again. As a result of these cyclic repetitions, the learners become truly free of inner prejudice. This study is to seek a method to apply Whitehead's proposition to mathematics education. I devise the curriculum constructing methods to experience Whitehead's three stages meaningfully, the teaching methods interplaying freedom and discipline rhythmically, and the teaching examples which adopt all these.

• Education of Primary School Mathematics
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• v.12 no.2
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• pp.117-132
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• 2009

The purpose of this study was analysis on types of strategies and errors when the sixth grade students were solving proportion problems of mathematics textbooks. For this study, proportion problems in mathematics textbooks were investigated and 17 representative problems were chosen. The 277 students of two elementary schools solved the problems. The types of strategies and errors in solving proportion problems were analyzed. The result of this study were as follows; The percentage of correct answers is high if the problems could be solved by proportional expression and the expression is in constant rate. But the percentage of correct answers is low, if the problems were expressed with non-constant rate.

• Journal of the Korean School Mathematics Society
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• v.11 no.3
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• pp.377-397
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• 2008

In today's secondary school mathematics curriculum, assessment is to be focused on evaluating the student's mathematical thinking rather than finding the correct solution to the problem. A descriptive evaluation method is therefore introduced to the school districts and suggested as an alternative assessment method in K-12 school mathematics. Descriptive evaluation method is widely available for use in schools, but there are barriers to using it since the teachers are forced to use the method by the school districts. In this research, we surveyed 120 secondary school mathematics teachers in Seoul and the surrounding metropolitan area to understand the status and the perception about using descriptive evaluation. The goal of the study was to find and understand the direct implications of using the new assessment method in secondary mathematics classes. The study showed that most of the mathematics teachers used the descriptive assessment method during their regular exam periods which is given twice per semester. Most of the open-ended problems used for descriptive evaluation were medium or high level math questions which were graded by the teachers at least 3 times to ensure objective evaluation. The teachers stated that objectivity in grading, administrative situation, and development of descriptive problems were the difficult barriers in descriptive evaluation. The teachers in the survey also commented that teachers' administrative responsibility should be reduced and that school environment in general should be improved for the new assessment method to become successful. Finally, the study showed that development of more descriptive problems with specific grading guidelines need to be developed for each grade level.

• Journal for History of Mathematics
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• v.25 no.3
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• pp.119-140
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• 2012

This study analyzed the questions related to the content knowledge of mathematics subject for the middle and high school teacher employment examination conducted from the school year of 2009 to 2012 based on the evaluation scope of the mathematics subject content knowledge and evaluation contents which were presented by the Korea Institute for Curriculum and Evaluation(KICE). To achieve the objectives of this study, a total of 105 questions were collected with respect to the questions that appeared on the test over the last 4 years which aimed to evaluate the level of applicants' knowledge related to the contents of mathematics subject. The ratio of the contents covered in the test was assessed based on the scope of evaluation and the items for evaluation among the 9 subjects. Based on the results, suggestions were presented in relation to the operation of the mathematics curriculum for the department of mathematics education at the college of education or the restructuring of the evaluation scope. There was a significant difference in the ratio of items that appeared on the test among the 9 subjects related to the content knowledge of mathematics. Also, there was a remarkable difference in the ratio of items covered in the test among the evaluation scope by subject. The results of analysis on the evaluation content items suggested that 149 items out of 256 items did not appear in the teacher employment examination for 4 years. Based on such results of analysis, this study discussed the need for readjusting the ratio of items covered in the test of content knowledge related to mathematics or the evaluation scope and evaluation content items.

• Journal of the Korean School Mathematics Society
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• v.17 no.4
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• pp.629-656
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• 2014

This study developed teaching and learning materials for an integrated education program of probability and genetics in the light of connections between mathematics and biological science. It also analysed characteristics of high school students' mathematical activities which appeared while the students took part in lessons where the developed materials were contributed in order to teach them. To achieve the aim, this study firstly specified five details for the development of the materials based on the results of previous research and extracted contents of probability and genetics which had the possibility of being taught in the integrated education program by examining the text books. After embodying the teaching materials according to the five details and the extracted contents, the researchers implemented 10 lessons by using the materials. This study elaborated some implications for a succeeding integrated education of mathematics and biological science in term of anlaysis results of features from the students' mathematical understanding and attitudes emerging in the lessons.

• Journal of Gifted/Talented Education
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• v.25 no.6
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• pp.971-987
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• 2015

This paper aims at analyzing SW club acitivities on the science core high school using information disclosure. Targeting 103 schools across the nation science core high schools, the factors influencing the SW Club was analyzed. And science core high school education plans, business plans and management reports were analyzed in SW club activities. It was the most influencing on the SW club in Creative-Experiential activities organization of computer courses. So computer curriculum reform is urgently needed. SW extra subject activities and funding was having a positive effect. Tuition reimbursement rates was having a negative effect. But academic achievement did not significantly affect. Therefore as many students as possible should be able to assist the SW extra subject activities. And it is required Programs and budget support that reflect the characteristics of local and school. Also, as science core high schools have STEAM education, science, mathematics and technology home economics teachers etc were leading the SW club activities by fusing the their curriculum and SW education. As these activities are consistent with the purpose of SW education, research should be more active autonomic consisting of various teachers.

• Journal of Educational Research in Mathematics
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• v.26 no.1
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• pp.103-119
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• 2016

Fusion and consilience have been important in many aspects of our education and culture. In this flow 2015 revised National Curriculum aimed to cultivate students of abilities of imagining liberally and inventing scientifically and technically. However imagination including imagination in humanities has not been researched in mathematics education part until nowadays, so mathematics education using imagination of raising students with ingenious and harmonizing abilities is hard to discuss concretely. In this paper I studied the opinions of various scholars from ancient times to today, and discussed where imagination reveals itself in mathematics practices. With above results I discussed some possible shape of teaching and learning of mathematics using imagination. And finally we discussed that meanings in the humanities and social aspects.

• Communications of Mathematical Education
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• v.20 no.1 s.25
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• pp.33-59
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• 2006

This study is intended to reconsider the meaning of the education for gifted/talented children, the foundation object of science high school by examining the behavior characteristics between gifted students and talented students in open-end mathematical problem solving and to provide the basis for realization of 'meaningful teaming' tailored to the learner's level, the essential of school education. For the study, 8 students (4 gifted students and 4 talented students) were selected out of the 1 st grade students in science high school through the distinction procedure of 3 steps and the behavior characteristics between these two groups were analyzed according to the basis established through the literature survey. As the results of this study, the following were founded. (1) It must be recognized that the constituent members of science high school were not the same excellent group and divided into the two groups, gifted students who showed excellence in overall field of mathematical behavior characteristics and talented students who had excellence in learning ability of mathematics. (2) The behavior characteristics between gifted students and talented students, members of science high school is understood and a curriculum of science high school must include a lesson for improving the creativity as the educational institutions for gifted/talented students, unlike general high school. Based on these results, it is necessary to try to find a support plan that it reduces the case which gifted students are generalized with common talented students by the same curriculum and induces the meaningful loaming to learners, the essential of school education.

• Journal of the Korean School Mathematics Society
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• v.24 no.2
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• pp.191-216
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• 2021

This study analyzes how statistical literacy is implemented along with the statistical problem-solving process as described in the Statistical Estimation Unit of the textbook by the 2015 revised mathematics curriculum. The analytical framework was developed from the literature, and consists of 'context', 'variability', 'mathematical and statistical knowledge', 'using of technological instruments', 'critical attitude', and 'communication'. From the perspective of the statistical problem-solving process, the analysis revealed that many tasks equivalent to 'Analyzing Data' but lacked tasks related to 'Interpreting Results' and 'Formulating Questions'. As a result of analyzing the reflection of each element of statistical literacy, 'mathematical and statistical knowledge' was the most common task, but 'critical attitude' and 'using of technological instruments' were rarely dealt with. Based on the results of this textbook analysis, it was intended to provide implications for improving the curriculum and the development of textbooks for the growth of statistical literacy.

• The Mathematical Education
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• v.56 no.2
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• pp.131-145
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• 2017

The representation of irrational numbers has a key role in the learning of irrational numbers. However, transparent and finite representation of irrational numbers does not exist in school mathematics context. Therefore, many students have difficulties in understanding irrational numbers as an 'Object'. For this reason, this research explored how mathematics textbooks affected to students' understanding of irrational numbers in the view of process and object. Specifically we analyzed eight textbooks based on current curriculum and used framework based on previous research. In order to supplement the result derived from textbook analysis, we conducted questionnaires on 42 middle school students. The questions in the questionnaires were related to the representation and calculation of irrational numbers. As a result of this study, we found that mathematics textbooks develop contents in order of process-object, and using 'non repeating decimal', 'numbers cannot be represented as a quotient', 'numbers with the radical sign', 'number line' representation for irrational numbers. Students usually used a representation of non-repeating decimal, although, they used a representation of numbers with the radical sign when they operate irrational numbers. Consequently, we found that mathematics textbooks affect students to understand irrational numbers as a non-repeating irrational numbers, but mathematics textbooks have a limitation to conduce understanding of irrational numbers as an object.