• School Mathematics
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• v.18 no.3
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• pp.503-526
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• 2016

The study aimed at determining the identity of mathematics essay test in the university entrance examination. For this purpose, a document research was conducted for higher order thinking and mathematics essay ability and it analyzed the goal of assessment and the tendency of problem settings and looked into mathematics essay problems of twenty-five universities. As a result, the study found out that evaluation factors of mathematics essay test requires higher order thinking ability including mathematical knowledge and essay ability such as mathematical knowledge, understanding, problem solving, logical and critical thinking, creative ability, power of expression, argument skills. Also, problems from previous mathematics essay tests were set mainly to assess mathematical knowledge, understanding and problem solving. Based on the findings, the past mathematics essay tests in university entrance examination in Korea that require logical and critical thinking, creative ability, power of expression, argument skills were a rather small percentage of questions.

• Journal of Elementary Mathematics Education in Korea
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• v.15 no.1
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• pp.95-120
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• 2011

Modern society is the age of the information. As new information is springing up every day and pace of change becomes faster, the importance of communication skills is growing. The recent mathematics education is recognized as not a fragmentary mathematical knowledge or results of the learning, but a procedure of mathematical thinking, and the effective expression skill of their mathematical ideas and the ability to forward it to others are regarded very serious. As the method of mathematics evaluation, mathematical essay is introduced to replace the existing multiple-choice written test. This method assess the ability which students have, that express the reorganized knowledge and information according to given situation by themselves. Ultimately, it is expected to help that students get the higher order thinking skills such as logical thinking and creativity. However, definition of elementary mathematical essay is unclear, and proper teaching methods is lacking for each stage of elementary school students. Thus, in this paper, I have defined the concept of elementary mathematical essay and made a foundation of elementary mathematical essay research, then researched about the effective utilization of elementary mathematical essay using school education. Also elementary mathematical essay teaching-learning materials is developed and applied to analyzed the students' responses. Using this program, in real elementary school education, the implications has deduced.

• 대학교육
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• s.155
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• pp.119-124
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• 2008

• Journal of the Korean School Mathematics Society
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• v.17 no.4
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• pp.541-563
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• 2014

The purpose of this study is to investigate how the curriculum, in which pre-service teachers experience mathematical process and develop assessment items and standards through the process experience in a mathematical essay course, affects the pre-service teachers and suggest its implications for teacher education. Fourty nine pre-service teachers, registered at a mathematical essay course in a K university in Seoul, developed mathematical essay problems and their assessment standards, and their developed processes were analyzed. According to the analysis results, first, mathematical essay problems developed by the fifty students reflect components of mathematical processes. Especially, one characteristic in revising assessment items shows that pre-service teachers considered not only justification process through different levels of difficulty and mathematical reasoning, but also logical descriptions through problem solving, when they worked on group discussions and examined middle school and high school students' responses. Second, while pre-service teachers developed rubrics for their assessment items and revised the rubrics based on students' responses, they established assessment standards which employed mathematical process by focusing on problem solving process rather than results and considering students' unexpected problem solving. The results imply a concrete method in planning and executing a mathematical essay course which makes use of mathematical process in teacher education.

• Communications of Mathematical Education
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• v.27 no.4
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• pp.567-580
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• 2013

As integrated essay writing is performed in university entrance examinations, teachers and students recognize the importance of integrated essay, but teachers have still difficulties of teaching methods. The purpose of this study is to derive educational implications through case of mathematics instruction for integrated essay education to pre-service mathematics teachers. The content knowledge of this class is a definition of conic section in mathematics and properties of conic section in an antenna reflector. The students have to discover them using the history of math, manipulative material, paper-folding and computer simulation. In this teaching and learning process the students can realize mathematical knowledge invented by humans through history of mathematics. The students can evaluate the validity of that as create and justify a mathematical proposition. Also, the students can explain the relation between them logically and descript cause or basis convincingly in the process of justifying. We should keep our study to instructional materials and teaching methods in integrated essay education.

• Journal for History of Mathematics
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• v.22 no.4
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• pp.53-66
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• 2009

The east-asian mathematics is highly evaluated in mathematics education. In this paper, we search the geometric problems of east-asian mathematics in high school textbooks and various examinations and investigate how to use such problems. We also confirm that the geometric problems of east-asian mathematics can be widely used as real life materials for introducing new mathematical topics, real life applications for mathematical topics, and valuable source for mathematical discourse.

• The Mathematical Education
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• v.60 no.3
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• pp.341-362
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• 2021

The purpose of this study is to explore the qualitative characteristics of pre-service teachers' motivation while they are participating in group activities for developing mathematical essay assessment problem and revising it. For this purpose, we analyzed individual factors about group learning activities as well as contextual factors about practical competency (in developing and revising mathematical essay assessment problem through collecting data of student responses to the problem). As results of data analyses, autonomy, among individual factors regarding group learning activities, was one of the main characteristics in attainment value, utility value, and intrinsic value, whereas task, authority, and grouping, among contextual factors regarding practical competency, appeared to have a positive impact on task value. These results suggest how to think of specific ideas and articulate them in designing a curriculum to develop student-evaluation expertise for pre-service teachers.

• The Magazine of the IEIE
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• v.11 no.1
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• pp.11-18
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• 1984

부호이론(coding theory)은 그 내용이 매우 광범위할 뿐 아니라 군론, 환론, 본론 등 축예대수학과 확율론 및 수리통계학을 배경으로 발전된 학문이기 때문에 일반 속자를 상대로 논술하기에는 적지 않은 난점이 있다. 그렇다고 단순히 용어나열에만 그칠 수도 없고, 이론에 치중한 논문식으로 쓸수도 없으므로 대학 4년생을 위한 강의수준으로 소개하겠으며 3회에 걸쳐 선형부호(linear code), 순회부호(cyclic code), 길쌈부호(convolutional code)의 순으로 연재하기로 하겠다.

• The Mathematical Education
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• v.48 no.2
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• pp.149-167
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• 2009

This study was aimed to examine problem-solving ability of fifth graders on two types of mathematical essay problems, and to analyze the process of mathematical justification in solving the essay problems. For this purpose, a total of 14 mathematical essay problems were developed, in which half of the items were single tasks and the other half were data-provided tasks. Sixteen students with higher academic achievements in mathematics and the Korean language were chosen, and were given to solve the mathematical essay problems individually. They then were asked to justify their solution methods in groups of 4 and to reach a consensus through negotiation among group members. Students were good at understanding the given single tasks but they often revealed lack of logical thinking and representation. They also tended to use everyday language rather than mathematical language in explaining their solution processes. Some students experienced difficulty in understanding the meaning of data in the essay problems. With regard to mathematical justification, students employed more internal justification by experience or mathematical logic than external justification by authority. Given this, this paper includes implications for teachers on how they need to teach mathematics in order to foster students' logical thinking and communication.

• East Asian mathematical journal
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• v.32 no.4
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• pp.519-543
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• 2016

Today the high school mathematics lesson has an effect on the scholastic achievement internationally, but fails to lead to the interest in the mathematics which stimulates the intellectual curiosity. Due to this, 2015 revised curriculum includes the effort to improve the emotional aspect of mathematics positively. It is needed that the teaching method through discussion and debate must be introduced to accomplish the objective of the mathematics in 2015 revised curriculum focused on the improvement of the ability and attitude to solve the problems creatively by increasing the mathematical communication skill of the students. The purpose of this study is to investigate the effect of mathematical essay-typed lesson focused on discussion and debate on the mathematical disposition and attitude of high school student. The findings from this study provided that the essay-typed lessons focused on discussion and debate improved the subject students' mathematical achievement and disposition and attitude, but it is not significant change.