• The Mathematical Education
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• v.58 no.3
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• pp.383-401
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• 2019

This study started with the idea that it is necessary to focus on common concepts and ideas among the subjects when conducting integrated education in high school. This is a preliminary study for developing materials that can be taught in mathematics in the context of already learning scientific concepts in high school. For this purpose, Mendel 's law of genetics was studied among the contents of biological subjects which are known to have relatively little connection with mathematics. The more common links between the two subjects are, the better, in order to integrate math and other subjects and develop materials for teaching. Therefore, in this study, we investigated not only the probability domain but also the concept of statistical domain. We have been wondering if there is a more abundant idea to connect between 'Mendel's law' and 'probability and statistics'. Through these anxieties, we could find that concepts such as 'likely equality' and 'permutation and combination' including 'a large number of laws' can be a link between two subjects. Based on this, we were able to develop class materials that correspond to classes. This study is expected to help with research related to development of integrated education support materials, focusing on mathematics.

• Education of Primary School Mathematics
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• v.20 no.1
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• pp.69-84
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• 2017

The purpose of this study is to review how to introduce a division algorithm in mathematics textbooks which were applied 2009 revised curriculum. As a result, the textbooks do not introduce the algorithm in the context of division by equal part. The standardized division algorithm was introduced apart from the stepwise division algorithms and there is no explanation in between them. And there is a lack connectivity between activities and algorithms. This study is expected to help new curriculum and textbook to introduce division algorithm in proper way.

• Journal of Elementary Mathematics Education in Korea
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• v.23 no.3
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• pp.289-303
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• 2019

The aim of this study was to seek for the purpose of social justice of mathematics education based on the understating of a critical race perspectives. This paper is consisted of two parts. First, I analyzed literatures of mathematics education for social justice in order to understand the discussions and concerns related to the topic. Second, I used the selected tenets of critical race theory to examine mathematics education for social justice scholarship. From the analysis, I concluded the current capacity of mathematics education for social justice toward addressing race issues in a mathematics classroom.

• Communications of Mathematical Education
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• v.13 no.1
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• pp.1-18
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• 2002

거리 수학이 학교 수학에 통합되어 수학 교실에서 지도되고 있는 하나의 예로 어림을 들 수 있다. 학교수학에서 지도되는 지필 알고리즘과는 달리 어림은 대략적인 값을 구하며, 주로 암산으로 수행된다. 그러나 어림은 학생들의 수학 학습과 일상생활에서 많은 유용성을 가지고 있음에도 불구하고 지금까지 수학 교육과정에서는 간과되었으나 최근 들어 강조되고 있는 영역이다. 따라서 본 연구에서는 학교 수학에서 지도되는 어림을 고찰함으로써 거리 수학을 학교 수학에 통합하려는 수학과 교수-학습에 시사점을 제공하는 것을 목적으로 한다. 연구의 목적을 실현하기 위해 거리 수학과 학교 수학을 규명하고, 거리 수학과 학교 수학을 연결하는 다리로서의 어림에 대해서 고찰하였다. 다음으로 초등학교 6학년 학생들을 대상으로 어림 능력 검사를 실시함으로써 초등학교 교육을 통해서 학생들에게 길러지는 어림 능력을 분석하였다.

• Proceedings of the IEEK Conference
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• 2003.07e
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• pp.2387-2390
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• 2003

움직이는 물체의 자동 분할은 컴퓨터 비젼의 여러 응용분야에서 중요한 문제로 대두되고 있다. 본 논문에서는 감시 시스템에서 에지와 적응적 임계값을 이용한 효과적인 자동 움직임 분할 방법을 제안하였다. 먼저 연속 영상에서 현재 영상과 배경 영상과의 차를 얻어서 그 히스토그램을 만든다. 이 때 앞에서 얻은 히스토그램은 영상 잡음의 평균이 0 인 가우시안 분포를 가진다고 가정한다. 그리고, 이 히스토그램을 이용하여 영상잡음의 분산을 찾는다 이 분산 값을 이용하여 적응적 임계값과 움직임 영역창을 결정한다. 적응적 임계값에 의한 결과 영상에서 움직이는 물체를 분할하기 위해 본 논문에서는 움직임 영역창을 이용하는 방법을 제안하였다. 이 움직임 영역창에 의해 더욱 효과적인 움직임 분할이 이루어진다. 또, 잡음의 제거를 위해 수학적 모폴로지(mathematical morphology)와 화소의 연결성이 이용된다.

• Journal of Educational Research in Mathematics
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• v.26 no.3
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• pp.403-420
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• 2016

Some of the critical changes in the revised 2015 Korean Mathematics curriculum were that direct proportion and inverse proportion were moved from elementary school to middle school and that supplementary content related to correlation was included. These decisions were based on comparative studies of international curriculum. Therefore in this study, we selected countries for comparison; United States, England, France, Finland, Australia, Japan, Singapore, China and Taiwan. We looked into the timing and scope for direct/inverse proportion and correlation in curricula of these countries. Along with this, we established four criteria; vertical sequence, horizontal sequence, external connection, and internal connection for an analysis framework. Then we compared and analysed the direct/inverse proportion and correlation in each curriculum. As a result, in most of these curricula, the direct/inverse proportions are introduced at middle school or are introduced at elementary school and then developed further at middle school. Most of curriculums on direct/inverse proportion and correlation match the four criteria. Correlation is introduced in high school mathematics in all counties except Finland and it is dealt in diverse context introducing related concepts, for example, correlation coefficient, regression straight line, and least square. We suggested that it is necessary to refer these international trends for the next revision of curriculum.

• School Mathematics
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• v.18 no.3
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• pp.589-609
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• 2016

In this study, researchers have modernly reinterpreted geometric solving of cubic equations presented by an arabic mathematician, Omar Khayyam in medieval age, and have considered the pedagogical significance of geometric solving of the cubic equations using two conic sections in terms of analytic geometry. These efforts allow to analyze educational application of mathematics instruction and provide useful pedagogical implications in school mathematics such as 'connecting algebra-geometry', 'induction-generalization' and 'connecting analogous problems via analogy' for the geometric approaches of cubic equations: $x^3+4x=32$, $x^3+ax=b$, $x^3=4x+32$ and $x^3=ax+b$. It could be possible to reciprocally convert between algebraic representations of cubic equations and geometric representations of conic sections, while geometrically approaching the cubic equations from a perspective of connecting algebra and geometry. Also, it could be treated how to generalize solution of cubic equation containing variables from geometric solution in which coefficients and constant terms are given under a perspective of induction-generalization. Finally, it could enable to provide students with some opportunities to adapt similar solving procedures or methods into the newly-given cubic equation with a perspective of connecting analogous problems via analogy.

• Communications of Mathematical Education
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• v.31 no.4
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• pp.433-456
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• 2017

The purpose of this study is to suggest the directions for the development and improvement of mathematics textbooks in Korea by examining these characteristics of German textbooks. As a result, German mathematics textbooks were free for unit order and names of units. German mathematics textbooks defined a function for various real life and natural phenomena, relation after intuitively knowing the correspondence between two variables through a graph. In addition, it exercises interpreting the characteristics and information of the graph, guides the activity of graphing various functional situations, and contents to convert various expression methods such as graphs, tables, relational expressions, mathematical terms and sentences. In the German mathematics textbooks, mathematical expressions of the functional relations of the materials in various contexts of daily life, and the activities of predicting and predicting the future, were made to feel the usefulness of mathematics. It has raised functional thinking and provided problems related to other subjects, thus enhancing connectivity with other disciplines. It also included open issues and issues that required mathematical communication.

• Education of Primary School Mathematics
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• v.14 no.3
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• pp.261-275
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• 2011

We observed the process for solving linear equations of two 5th grade elementary students, who do not have any pre-knowledge about solving linear equation. The way of students' usage of fractional schemes and manipulations are closely observed. The change of their scheme adaptation are carefully analyzed while the coefficients and constants become complicated. The results showed that they used various fractional scheme and manipulations according to the coefficients and constants. Noticeably, they used repeating fractional schemes to establish the equivalence relation between unknowns and the given quantities. After establishing the relationship, equivalent fractions played important role. We expect the results of this study would help shorten the gap between the arithmetic and the algebraic thinking.

• Journal of the Korean School Mathematics Society
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• v.12 no.4
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• pp.365-388
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• 2009

In this paper we solve various triangle construction problems given by three points(a midpoint of side and other two points). We investigate relation between these construction problems, draw out a base problem, and make hierarchy of solved construction problems. In detail we describe analysis for searching solving method, and construction procedure of required triangle.