• Journal of the Korean School Mathematics Society
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• v.21 no.3
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• pp.227-245
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• 2018

Debates of calculators in mathematics lessons sometimes have happened in both countries that students rarely use calculators in math lessons including Republic of Korea and countries that students usually use calculators in math lessons. Korea has tried to activate usage of calculators in math lessons as the revision of national math curriculums and the development the strategies to support schools and math teachers. On the other hand, Singapore has the different educational strategies to use calculators in math lessons, but students have higher math achievements in TIMSS and interests in math lessons than Korea. This study intended to study the difference between Korea and Singapore on the usage of calculators in math lessons. To accomplish this, the study compared math curriculums of two countries on the usage of calculators and analysed TIMSS 2015 related with the survey items about calculators in math lessons. This study results in some suggestions that we should do in oder to use calculators in math lessons effectively.

• Communications of Mathematical Education
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• v.31 no.2
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• pp.203-221
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• 2017

The purpose of this study is to suggest didactical principles for using mathematical teaching aids and to applicate didactical principles in a relation with curriculum. First, we meta-analyzed related literature to suggest didactical principles for using mathematical teaching aids. And we suggested didactical principles as follows: principle of activities, principle of instruments, principle of learning. Using mathematical teaching aids with didactical principles in mind would help avoiding situations in which mathematical teaching aids are only used as interesting tools. Second, we concretized the meaning to applicate didactical principles and use mathematical teaching aids in a relation with curriculum. We considered domain, key concept, function, achievement standard, which were presented in the curriculum of mathematics, and suggested concrete activities. Third, we produced two designs for lessons on incenter and circumcenter of triangle and linear function's graph using mathematical teaching aids.

• Communications of Mathematical Education
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• v.18 no.3 s.20
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• pp.95-102
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• 2004

수학영재교육이 활성화되기 위해서는 학습자료, 특히 보충 ${\cdot}$ 심화 학습자료의 개발이 시급하다. 이 논문에서는 교육과정에 나타난 행렬의 위치를 파악하여, 문제해결력 신장에 도움이 되는, 행렬을 소재로 한몇 가지 예를 영재교육용 보충 ${\cdot}$ 심화 학습자료로 제시하였다.

• The Mathematical Education
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• v.36 no.1
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• pp.77-87
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• 1997

6차 교육과정이 추구하는 인간상의 하나가 "창의적 사람"이다(대천 교육청, 1994). 앞으로 다가올 21세기는 정보화 사회, 다원화 사회, 세계화 사회가 될 것으로 전망되며, 국가간의 무한 경쟁 시대에 대처하기 위해서는 종래의 방법과 가치관에 의한 교육의 틀에서 탈피하여, 창의력을 기르는 교수-학습 지도 방법이 있어야 할 것이다.(중략)할 것이다.(중략)

• Communications of Mathematical Education
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• v.19 no.4 s.24
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• pp.671-682
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• 2005

One of the main function of the university is to be the center of education for the future generation. We analyze the changing standard of mathematics curriculums in Korean colleges and introduce new curriculum models in our changing social and educational environment.

• Journal of Educational Research in Mathematics
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• v.15 no.3
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• pp.353-374
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• 2005

Recently, there have been many changes in researches of mathematics education. There is a growing number of researchers who are interested in empirical researches. According to the these changes, there is also an emphasis on methodology of mathematics education. This means that many researchers try to conduct an research using scientific approach. Therefore, new types of research developing mathematics courses recently has evolved as follows: teaching experiment, hypothetical loaming trajectory, design science, developmental research. The aim of this study is to reflect on developmental research in RME and to induce desirable directions for developing our mathematics courses. In order to attain these purposes, the present paper reflects the philosophy of RME, aim, procedure, data collection, data analysis, and justification of developmental research with illustrating a exemplar Based on these reflections, it is discussed that it needs to construct the mathematics curriculum connecting theory and practice in mathematics education, to report the process of developing mathematics courses faithfully, and to develop real mathematics courses after conducting basic developmental researches in order to take scientific app- roaches for developing mathematics courses.

• 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.

• The Mathematical Education
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• v.59 no.1
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• pp.1-15
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• 2020

In this paper, we analyzed curriculum materials on inequalities as regions. Constructs such as mathematical connections and curriculum articulation were used as a framework. As for articulation, our findings indicate the topic of inequalities as regions addresses meaningful subordinate mathematical thinking and skills that serve prerequisite to calculus. Regarding connections, mathematical concepts involving inequalities extend to multivariate calculus. One implication is, as an unintended consequence of curricular decision of 2015 Revised National Curriculum to teach the topic only in mathematical economics, students who plan to study STEM subjects in college but opt out of mathematics economics in high school may miss the key concept and naturally struggle to understand calculus especially the theory of multivariate function of calculus.

• The Mathematical Education
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• v.50 no.4
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• pp.507-520
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• 2011

Teaching and learning in schools can be influenced by the ways in which curriculum is understood in terms of its characteristics and range. Viewing curriculum as encompassing all activities pertaining to teaching and learning allows us to examine various aspects of education through curriculum studies. In this respect, this study explores the trends in research on K-12 mathematics curriculum by examining prior studies' research topics categorized into five themes in curriculum studies. In addition, implications for future research are discussed based on the findings of this study.

• Communications of Mathematical Education
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• v.16
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• pp.245-267
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• 2003

수학적 문제 해결은 수학 교육에서 중요한 이슈이고 문제 해결 전략으로서의 유추를 주제로 본 연구에서는 중학생들을 대상으로 단순히 유사한 문제를 제시하는 것만으로 문제 해결에 성공을 할 수 있는지, 문제 해결에 성공을 할 수 없다면 중학생들에게 어떤 과정을 제시해야만 문제 해결 과정에서 유추를 사용하여 문제를 해결 할 수 있는지를 알아보고자 한다. 이를 위하여 본 연구에서는 유추에 의한 문제 해결과정을 표상 형성, 인출, 사상, 적합성, 스키마 형성의 과정으로 보고, 이러한 과정 중 사상 단계에서 사상 과정의 명료화를 중심으로 학생들의 유추 추론에 의한 문제해결 과정을 탐구하였다. 연구 결과, 유추 추론 과정에서 근거 문제만을 제시하는 것은 목표 문제를 해결하는데 유추 추론의 성공을 보장한다고 할 수 없었으며, 근거 문제가 제시되었는데도 목표 문제를 해결하지 못하는 경우 사상 과정을 명료화하자 목표 문제를 성공적으로 해결하였다. 또한 학생들은 목표 문제의 성공 이후 유사한 새로운 목표문제를 푸는데 성공하였다.