• Journal of the Korean School Mathematics Society
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• v.15 no.1
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• pp.81-108
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• 2012

One of the keyword in every nation's recent educational policy is key competencies. Considering national competitiveness originating from educational competitiveness, educational policy has been driven to identify key competencies and realize them through school education. Within this context some countries have developed competencies-based curriculum and discussed ways to relate key competencies and subject matter areas. However, there have been few researches on how to reflect or integrate key competencies into subject matter areas. Because of this reason, the ways to incorporate and integrate key competencies into three subject areas including mathematics were investigated. The recent trends of curriculum, teaching and learning, and assessment of domestic and foreign cases were explored by the subject of one Korean international middle school, one British foreign school in Seoul, one French foreign school in Seoul, and four middle schools in New Zealand. To establish competencies-based school education, there should be intimate connection system among curriculum, teaching and learning, assessment, and teacher education. Through analysis of domestic and foreign cases, some conclusions regarding how these aspects have changed with the emphasis of key competencies were drawn. In this paper, through classroom observation and teacher interview, a case of the competencies-based mathematics lessons of one French foreign school was investigated. As a result, summaries and recommendations related to ways to improve subject teaching and teacher education in light of key competencies were presented. In these recommendations, the ways to reconstruct subject-based curriculum, the content-specific teaching and learning, and educational assessment were included.

• The Mathematical Education
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• v.50 no.2
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• pp.233-246
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• 2011

The geometry field in the current high school curriculum deals mainly with analytic geometry and the reference to logic geometry leaves much to be desired. This study investigated the construction on a heptagon by using conic sections as one of measures for achieving harmony between analytic geometry and logic geometry in the high school curriculum with the Geometer's Sketchpad(GSP), which is a specialized software prevalent in mathematics education field and is intended to draw an educational suggestion on it.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.607-633
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• 2016

Teachers and students tend to perceive mathematics irrelevant with character education. Since there has been no teaching of cross-curriculum characters education in mathematics classrooms, this research was to look for the possibility of teaching the character education in mathematics. Through the pilot study, trying to rebuild character factors based on Moon, et al,(2011), the researcher applied them to developing 8 lesson plans and carried them to 12th graders of the high school in March and April, 2014 using pre and post tests. Based on statistically significant difference with the level of p<.05, in "relation with me", for 'appointment' in the pretest, the students of natural science(SNS) exceeded, but in the posttest the students of humanities(SH) exceeded. In "relation with the other", in the posttest, for 'forgiveness' and 'responsibility' SNS, but for 'ownership' SH exceeded. In 'relation with a group' in the pretest for 'community spirit' SNS, and in the posttest SH exceeded. In the pretest in this study SNS naturally perceived the value of character education in math classes since they were closer to mathematics but after the experience through character education with cross-curriculum factors, SH perceived its importance expecially 'appointment', 'ownership', and 'community spirit' more than SNS so that we could predict the possibility of teaching cross-curriculum character factors in mathematics even after they had preconception as a high school student.

• School Mathematics
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• v.13 no.2
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• pp.287-305
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• 2011

The goal of this study is to investigate reform directions of mathematics activity book which was introduced according to 2007 revised curriculum through literature analysis of introducing process. Futhermore, this study is to suggest the meaningful developing direction of new activity book according to the mathematics curriculum which is being developed now. To do this, first, the background of introducing activity book, developing direction, construction systems and the way to use it was analyzed. Second, teachers' response to the activity book on the basis of literature analysis was researched. Third, measures to improve activity book were investigated. In conclusion, reform direction of mathematics activity book was proposed in terms of developing research, goal, way to go, construction systems and questions arrangement.

• Journal of the Korean School Mathematics Society
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• v.15 no.2
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• pp.215-238
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• 2012

One of the keyword in every nation's recent educational policy is key competencies. Considering national competitiveness originating from educational competitiveness, educational policy has been driven to identify key competencies and realize them through school education. Within this context some leading countries have developed competencies-based curriculum and discussed ways to relate key competencies and subject matter areas. However, there have been few researches on how to reflect or integrate key competencies into subject matter areas. Because of this reason, the ways to incorporate and integrate key competencies into three subject areas including mathematics were investigated. The recent trends of curriculum, teaching and learning, and assessment of domestic and foreign cases were explored by the subject of one Korean international middle school, one British foreign school in Seoul, one French foreign school in Seoul, and four middle schools in New Zealand. To establish competencies-based school education, there should be intimate connection system among curriculum, teaching and learning, assessment, and teacher education. Through analysis of domestic and foreign cases, some conclusions regarding how these aspects have changed with the emphasis of key competencies were drawn. In this paper, through classroom observations and teacher interviews, the reality of competencies-based mathematics teaching of New Zealand and France was investigated. As a result, summaries and recommendations related to ways to improve subject teaching and teacher education in light of key competencies were presented. In these recommendations, the ways to reconstruct subject-based curriculum, the content-specific teaching and learning, and educational assessment were included.

• Communications of Mathematical Education
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• v.29 no.4
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• pp.745-762
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• 2015

In order to examine the change in mathematical inclinationn of middle level engineering college freshmen, we analyse the change of mathematical inclination between 2011 year and 2015 year freshmen who took college scholastic ability test which are based on the national mathematics curriculum 7th and 7th revision, respectively. In medium-sized D university, 2011 year and 2015 year engineering freshmen were taken the test for mathematical inclination, the survey for mathematical background and the recognition of college mathematics and basic mathematical ability test. The outcomes of this survey are followings: Firstly, between 2011 year and 2015 year freshmen, the mean of confidence and flexibility are same, but the 2015's mean of willpower, curiosity, value and esthetics are greater than 2011's. Secondly, in the mean of flexibility, willpower and curiosity, natural science's mean is greater than humanity's. Thirdly, the mean of mathematical inclination's factors is depend on college mathematics goal. Fourthly, there is little correlation between mathematical basic ability and mathematical inclination. Moreover for 2011 year and 2015 year freshmen, the mean of mathematical inclination's factors except value is proportional to mathematical basic ability. For the success of college mathematics in engineering college, this study suggests that high school mathematics curriculum and college scholastic ability test must contain calculus. We also suggest that college mathematics class must be focused on mathematical inclination improvement.

• Communications of Mathematical Education
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• v.25 no.4
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• pp.629-639
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• 2011

Currently science and technology are changing so fast and college mathematics becomes more and more important. But the downturn of freshmen's scholastic performance has been intensified and this phenomenon leads to serious problems in managing college curriculums. During the recent years at a middle level engineering college, many freshmen had a lot of difficulties in their mathematics courses. In consequence, many of them had hard time to survive at their major curriculums. In this point of view, we analyse the situation of mathematical scholastic ability among engineering majored freshmen through the research on the actual state of mathematical background, mathematical scholastic ability test, college mathematics scores, and scholastic aptitude test scores. We study the relation between the mathematics score of scholastic aptitude test for the college entrance and mathematical scholastic ability of freshmen of a middle level engineering college. From this study we conclude that the essential reasons for the above situations are the curriculum of middle school mathematics and the system of scholastic aptitude test and the entrance examination of university. In order for improving mathematical accomplishment. we give suggestions such as a learning ability improvement program in mathematics.

• Journal of the Korean School Mathematics Society
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• v.14 no.3
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• pp.377-388
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• 2011

Acknowledging mathematics education as a research field and its relation to different domains such as mathematics, educational sciences, psychology, sociology, and history, two paradigmatic issues of theoretical research and classroom practice are focused on to synthesize the different domains in mathematics education. Six sub-categories in the field of mathematics education are proposed to have a better understanding of their role and interdependence.

• School Mathematics
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• v.13 no.3
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• pp.423-446
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• 2011

In school mathematics, concepts of definite integral and integration by substitution have mathematical connection with introduction of probability density function, expectation of continuous random variable, and standardization of normal distribution. However, we have difficulty in finding mathematical connection between integration and continuous probability distribution in the curriculum manual, 13 kinds of 'Basic Calculus and Statistics' and 10 kinds of 'Integration and Statistics' authorized textbooks, and activity books applied to the revised curriculum. Therefore, the purpose of this study is to provide a teaching method connected with mathematical concepts of integral in regard to three concepts in continuous probability distribution chapter-introduction of probability density function, expectation of continuous random variable, and standardization of normal distribution. To find mathematical connection between these three concepts and integral, we analyze a survey of student, the revised curriculum manual, authorized textbooks, and activity books as well as 13 domestic and 22 international statistics (or probability) books. Developed teaching method was applied to actual classes after discussion with a professional group. Through these steps, we propose the result by making suggestions to revise curriculum or change the contents of textbook.

• Journal of the Korean School Mathematics Society
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• v.14 no.1
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• pp.65-84
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• 2011

The purpose of this research is to draw some implications for reducing gender differences in educational achievement of mathematics by inquiring those in mathematics-related attitudes. For this purpose, this article analyzed the gender difference in mathematics-related attitudes of the elementary, middle, and high school students. Also, mathematics-related attitudes according to achievement levels was analyzed. The findings of this study are as follows. Firstly, in the scores on mathematics-related attitudes, male students were significantly higher than those of female students. Secondly, in the evaluation of the subordinate factors of mathematics-related attitudes, gender differences were shown a little bit larger in the areas of interest and self confidence than in the area of perception of mathematics value regardless of grades. Thirdly, in all schools, the higher achievement level is, the higher the score of mathematics-related attitudes is. Lastly, gender differences on mathematics-related attitudes in advanced level group is bigger than those in other level groups.