• Journal of Educational Research in Mathematics
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• v.11 no.1
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• pp.123-136
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• 2001

우리나라 중학교 2학년 학생들은 제3차 수학.과학 국제비교연구인 TIMSS와 그 반복연구인 TIMSS-R의 수학 검사에서 최상위권의 성취 수준을 보임으로써 국내외 연구자들의 관심의 초점이 되어 왔다. 이 논문은 우선 우리나라 학생들이 높은 성취 수준을 기록할 수 있는 원인을 $\circled1$ 체계적인 수 세기 방식, $\circled2$ 상급 학교 진학을 위한 시험의 대비, $\circled3$ 수학 교사 의 능력, $\circled4$ 교육과정과 검사와의 관련성, $\circled5$ 검사에 대한 태도라는 다섯 가지 측면에서 탐색하였다. 또한 높은 성취 수준 이면에 드리워진 부정 적인 측면을 조망하여 $\circled1$ 공학적 도구 의 이용에 대한 소극성, $\circled2$ 실생활 관련 문장제에 대한 저조한 성취 수준, $\circled3$ 지역에 따른 성취 수준의 차이, $\circled4$ 수학에 대한 부정적인 태도의 네 가지로 요약하였다. 또한 TIMSS-R 의 수학 성취 수준에 대한 성별 차이를 $\circled1$ 친숙함/생소함, $\circled2$ 대수/기하, $\circled3$ 자유반응형/선택형이라는 세 가지 측면에서 분석하였다. 마지막으로 국제비교 연구의 결과는 국가별 평균성취 수준의 양적인 비교에 초점을 두기보다는, 성취도 이면에 깔린 다양한 요소에 대한 복합적인 고려와 깊이 있는 분석을 통해 수학교육의 현 상태를 점검하는 하나의 잣대로 이용해야 한다는 점을 지적하였다.

• Education of Primary School Mathematics
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• v.25 no.3
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• pp.251-278
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• 2022

The purpose of this study is to obtain implications for mathematical education by analyzing how the multiplication and division of decimal numbers are presented in the elementary mathematics textbooks in Korea, Japan, Singapore, and Finland. Compared to the fact that students often have misconceptions about multiplication and division of decimal numbers, there have been not many comparative studies in recent elementary mathematics textbooks. For this study, we selected elementary mathematics textbooks those are widely used in Japan, Singapore, and Finland along with Korean elementary mathematics textbooks. We chose the textbooks because the students in the selected countries have scored high in international achievement studies such as TIMSS and PISA. The analysis was examined in terms of elementary mathematics curriculum related to multiplication and division of decimal numbers, introduction and content, real-life situations, use of visual models, and formalization methods of algorithms. As a result of the study, the mathematics curricula related to multiplication and division of decimal numbers includes estimation in Korea and Finland, while Japan and Singapore emphasize real-life connections more, and Finland completes the operations in secondary schools. The introduction and content are intensively provided in a short period of time or distributed in various grades and semesters. The real-life situations are presented in a simple sentence format in all countries, and the use of visual models or formalization of algorithms is linked to the operations of natural numbers in unit conversions. Suggestions were made for textbook development and teacher training programs.

• Journal of Educational Research in Mathematics
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• v.20 no.4
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• pp.445-458
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• 2010

This study intends to investigate the process of the development of quantity concept and how to deal with the quantity calculus in elementary school, and to find out the implication for improving the curriculum and mathematics textbooks of Korea. There had been the binary Greek categories of discrete number and continuous magnitude in quantity concept, but by the Stevin's introduction of decimal, the unification of these notions became complete. As a result of analyzing of the curriculum and mathematics textbooks of Korea, there is a tendency to disregard the teaching of quantity and its calculus compared to the other countries. Especially multiplication and division of quantity is seldom treated in elementary mathematics textbooks. So these should be reconsidered in order to seek the direction for improvement of mathematic teaching. And Korea's textbooks need the emphasis on the quantity calculus and on constructing quantity concept.

• Journal of the Korean School Mathematics Society
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• v.9 no.2
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• pp.141-161
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• 2006

In this study, we classified word problems related to real life presented in elementary mathematics textbooks into five types of context problems(location, story, project, scrap, theme) suggested by Freudenthal(1991), and applied context problems to mathematics class to analyze the influence on students' mathematical belief and attitude. Also, we examined the types of context problems preferred according to academic performance and the reasons of preference within a group experiencing context problems. The results of the study are as follows. First, almost lessons in the mathematics textbook presents word problems related to real life, but the presenting method is inclined to a story type. Also, the problems with a story type are presented fragmentarily. Therefore, although these word problems are familiar to the students, they don't include contextual meanings and cannot induce enough mathematical motives and interests. Second, a lesson using context problems give a positive influence on their mathematics belief and attitude. It is also expected to give a positive influence on students' mathematics learning in the long run. Third, the preferred types of context problems and the reasons of preference are different according to the level of academic performance within the experimental group.