확률,통계 연구에 대한 수학교육학적 고찰 -〈수학교육〉에 게재된 논문을 중심으로- = A Trend Analysis on the Educational Research of the Probability and Statistics -Focused on Papers Published in <The Mathematical Education>, the Journal of Korea Society of Mathematical Education-

다국어 초록 (Multilingual Abstract)

The purpose of this study is to see what the essential characteristics are in teaching probability and statistics among various mathematical fields. we also tried to connect the study of probability and statistics education with what is needed for a science be synthetic to have its own identity as a unique research field. Since we searched for the future direction of the pedagogic study in the probability and statistics we first selected paper on probability and statistics published in <The Mathematical education>(series A), the Journal of Korean Society of Mathematical Education, and establish the following research questions. What kinds of characteristics can be found when paper on probability and statistics published in <The Mathematical education>(series A) are classified into four categories; contents of probability and statistics education, research method of the mathematics education, methods of learning and teaching, and finally measurements and evaluation? We classified papers into two kinds. One is related to the educational contents, consisting of the methods of learning and teaching of the measurement and evaluation. The other is related to the methods of research, which is not a part of the educational curriculum but is essential for establishing the identity of mathematics education. According to the periods, papers on the curricular contents in 1960s were influenced by the New Mathematics, and paper on the curricular contents in 1980s were influenced by `back to basic`. In 1990s, paper on methods of learning and teaching, and measurement and evaluation were increasing in number. Besides, <The Mathematical education>(series A) from the Journal of Korea Society of Mathematical Education covers contents, methods of learning and teaching, and measurement and evaluation. And when I examined the paper on the contents of textbook of a junior high school related to the probability and statistics education and on methods of learning and teaching, I found that those papers occupy 1.84% in <The Mathematical education>. When it comes to the methods of learning and teaching, most of studies in <The Mathematical education>(series A), are about application of concrete implement like experiment and practical application of computer programs, Though this study, I found that over-all and more active researches on probability and statistics are required and that the studies about methods of learning and leaching must be made in diverse directions. It is needed that how students recognize probability and statistics, connection, communication and representation in probability and statistics context, too. <The Mathematical education>(series A), does not have papers on methods of study. Mathematics pedagogy is a mixture of various studies - mathematics psychology, mathematical philosophy, the history of mathematics and Mathematics. So If there doesn`t exist a proper method of study adequate in the situation for the mathematics education, the issue of mathematics pedagogy might be taken its own place by that of other students`. We must search for the unique method of study for mathematics education so that mathematics pedagogy has its own identity as a study. The study concerning this aspect is needed.