• Education of Primary School Mathematics
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• v.11 no.1
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• pp.39-57
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• 2008

The purpose of this study is to affirm what influences the lessons applied by reorganizing the ratio-graph unit of level 6-A on the basis on Realistic Mathematics Education(RME) give on mathematical scholastic achievements and mathematical preferences.In order to achieve the purpose of this study, the experimental study was exerted by making two classes of 6 grades in J elementary school located in Gumi city, Gyeongbuk province as subjects. In this study, test of degree of the mathematics learning ability of student, multiple-choice test and descriptive test of the learning dispositions of student were exerted and the results were t-test officially. The results and the conclusions of this study were as follows: First, the results acquired by officially t-test the levels of the mathematics learning ability of student of the group taught by lessons according to the teaching materials reorganized on the basis of RME and the group taught by lessons according to the 7th curriculum show a meaningful difference(p=.007). This means that the lessons according to the teaching materials reorganized on the basis of RME showed meaningful influences on the improvement of degree of the mathematics learning ability of student. Second, the results acquired by officially t-test the learning dispositions of student multiple-choice test of the group taught by lessons according to the teaching materials reorganized on the basis of RME and the group taught by lessons according to the 7th curriculum show a meaningful difference. Especially in the factors of 'mathematical will'(p=.017) and 'mathematical value'(p=.029) were meaningful differences. Also in the descriptive test of the learning dispositions of student, the experimental class showed that it had the potential possibility to have more positive attitudes meaningfully in comparison with the compared class. This means that the lessons according to the teaching materials reorganized on the basis of RME showed meaningful influences on the learning dispositions of student.

• 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.

• Journal for History of Mathematics
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• v.25 no.1
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• pp.89-105
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• 2012

This study analyzed the lesson analysis reports and survey of pre-service teachers who have practiced the microteaching in order to identify the reflection of mathematics pre-service teachers. The professors who are teaching pre-service teachers need to propose the examples of an instructional model that can induce the opened reaction and the effective usage of time through interesting topics. In addition, pre-service teachers who have practiced the first microteaching have shown a lot of reflection more than expected. Therefore, to improve the quality of lectures, it is important for pre-service teachers to have experiences of microteaching and reflection.

• Annual Conference of KIPS
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• 2014.04a
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• pp.981-984
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• 2014

개인화된 서술형 수학 문제(mathematics word problem)는 오랫동안 연구된 분야로 학생들의 학업 성취도와 수학에 대한 태도에 관심을 가져왔다. 본 연구에서는 2013년 도입된 스토리텔링 수학에 개인화된 콘텐츠를 접목하여 그 효과를 알아보고자 하였다. 초등학생 26명을 대상으로 하여 약 110분 동안 수업을 진행하였으며, 무게에 대한 새로운 개념을 배우는 데 그 목적을 두었다. 각각 13명씩 개인화 그룹과 비 개인화 그룹으로 나누어 수업을 진행하였다. 학업 성취도(Learning Achievement)에서는 사전 시험(pre-test) 점수가 너무 높아 두 그룹 간에 서로간의 유의한 차이점을 발견하지 못했다. 수학에 대한 태도 부분과 몰입도(Flow) 부분에서는 다소 개인화 그룹의 값이 높았지만, 통계적으로 유의한 정도는 차이는 아니었다. 하지만 정성적 분석에서는 차이가 있었다. 개인화 그룹(Personalized group)은 비 개인화 그룹(non-personalized group)에 비해 개인화(personalization)가 수업의 재미있는 요소로서 보다 중요한 작용을 했다고 느꼈다. 또한, 테스트나 측정(measure) 부분에서 생겼던 문제점을 개선하여 재 실험이 있을 시엔 유의미한 값을 나타낼 것으로 기대된다.

• Journal of The Korean Association of Information Education
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• v.19 no.2
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• pp.215-224
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• 2015

For this, 410 development topics and contents were selected based on the analysis of contents related to mathematics and science, the pre-investigation and analysis of mathematics and science teachers in agricultural, mountain and fishing villages and the analysis of the 2009 revised curriculum. The validity verification of the selected subject list and implementation plan was implemented through the reviews by experts in each subject and the storyboard was designed by reflecting the examination opinion after the final revision. Development directions of the contents were set after analyzing the application result of contents from classroom for creativity and science and selected schools in agricultural, mountain and fishing villages for demonstration, and opened the platform after the revision and supplement of the expert. It is expected to elevate students' self-directed learning abilities in agricultural, mountain and fishing villages by developing and extending smart learning contents to use ICT in Mathematics and science education, which are high in urbanrural academic disparity.

• Communications of Mathematical Education
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• v.28 no.2
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• pp.195-217
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• 2014

The College Scholastic Ability Test(CSAT) is the Korean national university examination based on the national curriculum. The CSAT is a high-stakes test because of powerful social forces which the college admission system has in Korea. This examination has changed many times through not only the national curriculum revision but also various external factors including the normalization of public education, mitigating the burden of students, etc. This study analysis the changes of assessment contents of the Mathematics of the CSAT due to the national curriculum revision. Additionally, this study analysis the mathematics content domains of the college entrance examinations in some foreign countries. Based on the result of this analysis, this study will derive implications for improvement directions of the Mathematics of the CSAT.

• School Mathematics
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• v.11 no.1
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• pp.39-53
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• 2009

This study was conducted in 2008 with 80 in-service mathematics teachers. We took a course that was consisted of a lecture and a practice on Socrates' method. In our study, mathematics teachers conducted making a teaching plan by using Socrates' method. But we became know that we need to offer concrete ideas or examples for mathematics teachers in order to apply Socrates' method effectively. Therefore we tried to search for educational methods in using Socrates' method to teach school mathematics. After investigating of preceding researches, we selected some examples. On the basis of these examples, we suggested concrete methods in using Socrates' method. That is as follows. Socrates' method need to be used in the context mathematical problem solving. Socrates' method can be applied in the process of overcoming cognitive obstacles. A question in using Socrates' method have to guide mathematical thinking (or attitude). When we use Socrates' method in the teaching of a proof, student need to have an opportunity to guess the conclusion of a proposition. The process of reflection revision-improvement can be connected to using Socrates' method.

• Journal for History of Mathematics
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• v.25 no.1
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• pp.71-88
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• 2012

The purpose of this study is to find the way to build the concept image about natural logarithm and the method is using definite integral in calculus under GeoGebra environment. When the students approach to natural logarithm, need to use dynamic program about the definite integral in calculus. Visible reasoning process through using dynamic program(GeoGebra) is the most important part that make the concept image to students. Also, for understand mathematical concept to students, using GeoGebra environment in dynamic program is not only useful but helpful method of teaching and studying. In this article, about graph of natural logarithm using the definite integral, to explore process of understand and to find special feature under GeoGebra environment. And it was obtained from a survey of undergraduate students of mathmatics. Also, relate to this process, examine an aspect of students, how understand about connection between natural logarithm and the definite integral, definition of natural logarithm and mathematical link of e. As a result, we found that undergraduate students of mathmatics can understand clearly more about the graph of natural logarithm using the definite integral when using GeoGebra environment. Futhermore, in process of handling the dynamic program that provide opportunity that to observe and analysis about process for problem solving and real concept of mathematics.

• School Mathematics
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• v.14 no.1
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• pp.165-190
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• 2012

Recently, the Korean government develops a variety of policies for the improvement of school education. Among the policies, convergence education is considered as essential. Moreover, as the policies declare that mathematics is expected to play a central role in the convergence education, mathematics educators are required to seek for ways of how to approach convergence education in mathematics. In this context, this paper reviewed diverse viewpoints on what kind of contribution convergence education make to the improvement of school mathematics. While the argument constructed around the issue of national competitiveness is the most prevalent in the political discourse, this paper recommends to introduce the epistemological norms raised by the knowledge integration through history. In addition, this paper presents both domestic and international programs to discuss how to develop educational program for convergence education in mathematics.

• School Mathematics
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• v.18 no.4
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• pp.839-856
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• 2016

In 2009 revision and 2015 revision mathematics national curriculum, 'proof' was moved to high school from middle school in consideration of the cognitive development level of students, and 'proof by contradiction' was stated in the "success criteria of learning contents" of the first year high school subject while it had been not officially introduced in $7^{th}$ and 2007 revision national curriculum. Proof by contradiction is known that it induces a cognitive conflict due to the unique nature of rather assuming the opposite of the statement for proving it. In this article, based on the logical, mathematical and historical analysis of Proof by contradiction, we looked about the introductions and the applications of the current textbooks which had been revised recently, and searched for improvement measures from the viewpoint of discovery, explanation, and consilience. We suggested introducing Proof by contradiction after describing the discovery process earlier, separately but organically describing parts necessary to assume the opposite and parts not necessary, disclosing the relationships with proof by contrapositive, and using the viewpoint of consilience.