• School Mathematics
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• v.14 no.1
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• pp.1-28
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• 2012

The purpose of the study are to identify factors of mathematical visualization through the thirty students of highschool 2nd year and to investigate how each visualization factor is used in mathematics problem solving process. Specially, this study performed the qualitative case study in terms of the five of thirty students to obtain the high grade in visuality assessment. As a result of the analysis, visualization factors were categorized into mental images, external representation, transformation or operation of images, and spacial visualization abilities. Also, external representation, transformation or operation of images, and spacial visualization abilities were subdivided more specifically.

• Journal of the Korean School Mathematics Society
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• v.11 no.2
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• pp.159-175
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• 2008

The purpose of this study is to investigate the educational effects of pre-service mathematics teacher's teaching experiment on problem solving process and to give some suggestions in teacher training curriculum. The central theoretical background of this study is Palya's mathematical problem solving theory. In this study, we selected 21 pre-service mathematics teachers as research subject. And we conducted classroom activity that is constructing their problem-solving teaching design. We collected research data as observation materials, documents, video-service records etc. From these research data, we analysed that pre-service mathematics teacher's teaching experiment on problem solving process showed many significant educational effects. Therefore, we proposed that we need to serve many opportunities of teaching experiment on problem solving process to pre-service mathematics teacher in teacher training curriculum.

• Journal of the Korean School Mathematics Society
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• v.17 no.4
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• pp.589-611
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• 2014

Since most people experience mathematics anxiety(MA), the research on mathematics anxiety has been the main theme in the research of mathematics education. The study of brain science related to MA has recently been begun due to the advent of apparatuses so this study might have revisited MA as time passed and aimed to obtain realistic implications for the future study. For this purpose, we analyzed previous studies how to measure MA and how to develop the intervention to reduce MA. As the result, the researchers based on brain science studied the relevance of specific parts of the brain according to the degree of MA using only simple computational tasks. The research for developing the MA scale has upgraded how to measure both the cognitive and affective domains with more efficient ways. The research on intervention for MA has developed the programs using systematic desensitization, clinical counseling, STAD teaching method, writing methods, etc. However, we realized that more specified and reliable studies to solve the MA must be done in the future.

• Journal of Educational Research in Mathematics
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• v.24 no.3
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• pp.409-428
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• 2014

The purpose of this study is to examine the features of the curriculum of Chosun-Sanhak(朝鮮算學), the mathematics of Chosun Dynasty in the 17th to 18th century. The results of this study are as follows. First, the goal of education, teaching-learning method and assessment of Chosun-Sanhak in the 17th to 18th century had not changed since the 15th century. Second, the changes in the field of the organization of mathematical contents were observed. Chosun-Sanhak in that time was higher in the hierarchy than in the 15th to 16th century. The share of the equation and geometry had increased and various topics of mathematics had been studied as well. Third, in the field of the characteristics of mathematical contents, the influx of European mathematics and the uniqueness of Chosun-Sanhak had been observed. In conclusion, The 17th to 18th century was the time when Chosun-Sanhak had pursued the identity escaping from the effects of Chinese-Sanhak.

• Communications of Mathematical Education
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• v.29 no.3
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• pp.513-532
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• 2015

In order to suggest desirable management of college mathematics for freshmen in middle level engineering college, we analyse the change of mathematics recognition between 2011 year and 2015 year freshmen who took college scholastic ability test which are based on the national mathematics curriculum 7th and 7th revision, respectively. In A university, 2011 year and 2015 year engineering freshmen were taken basic mathematical ability test and given the survey for the recognition of mathematics and college mathematics. Research results are as follows: First of all, middle level engineering freshmen were poor at basic mathematical ability. The change of mathematics recognition appeared in the level of mathematics ability and the effort for college mathematics class. Moreover middle level engineering freshmen recognize college mathematics as a basic subject for engineering and hope teacher-directed learning in college mathematics class. For the success of college mathematics in engineering college, this study suggests basic mathematical ability test and the survey for the recognition of mathematics and college mathematics. We also suggest that college mathematics class must be focused on basic mathematical ability improvement and self-directed learning.

• Education of Primary School Mathematics
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• v.21 no.2
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• pp.209-221
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• 2018

Angle concepts have a multifaceted nature such as quantitative aspects as the amount of rotation, qualitative aspects as geometric shapes, and relationship aspects made with planes or lines. This study analysed angle concepts and introduction methods of angles in elementary mathematics textbooks which have been used from the Syllabus Period to the 2015 Revised Mathematics Curriculum. First, the concepts of angles in mathematics textbooks focus through the definitions, representations, and components of angles presented in mathematics textbooks are analyzed. Secondly, how various aspects of each angle are sequenced through the tasks or activties in the introduction of lesson is looked. As a result of analysis, the methods of introducing angles in the changes of mathematics textbooks have mainly focused on learning about geometric shapes and relations of components. In the mathematics classroom, students should experience various aspects of geometric shapes, rotations, relational aspects of points, lines and surfaces, and support and link them to form a wide range of concepts.

• The Mathematical Education
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• v.58 no.1
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• pp.101-120
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• 2019

The goal of this study was to apply an expectancy-value model(Wigfield & Eccles, 2000) to explain changes in six multi-ethnic students' achievement motivation in mathematics during sixth (2012) to eighth (2014) grades. In order to achieve this goal, we used narrative research methods. Although individual students' achievement motivation and mathematics related life experiences differed, there are some common factors influencing their motivation development, especially (a) roles played by parents and teachers; (b) assessment of peers' competencies; (c) past learning experiences related to mathematics curriculum; (d) perception of the relationship between mathematics competency and other subjects; (e) home backgrounds; and (f) perceived task values. In this study, we achieved some insight into why some multi-ethnic students are willing to study hard to get good scores while others are uninterested in mathematics, and why some multi-ethnic students are likely to pursue new mathematical tasks and persist despite challenges, while others easily give up studying mathematics in the face of adversity. We argue that in order to increase and sustain multi-ethnic students' achievement motivation, educators and parents should recognize that motivation is contextually formulated in the intersection of current people, time, and space, not a personal entity formed in an individual's mind. The findings of this study shed light on the development of achievement motivation and can inform efforts to develop multi-ethnic students' positive motivation, which might influence their mathematics achievement and success in school.

• Communications of Mathematical Education
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• v.38 no.2
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• pp.187-213
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• 2024

This study aims to investigate the impact of mathematical journal writing activities on sixth-grade students' mathematics anxiety and the 'writing' aspect of mathematical communication. For this purpose, 27 sixth-grade students participated in 14 sessions of mathematical journal writing activities while learning division with fractions and decimals. Mathematics anxiety was measured using a questionnaire, with pre- and post-test results statistically analyzed. Mathematical communication in the 'writing' domain was quantitatively measured using an analytical framework to track changes in levels. Additionally, 13 students were interviewed to examine the impact of journal writing on mathematics anxiety and mathematical communication in more detail. The study found that among the four main factors of mathematics anxiety, there was a significant reduction in the subject-specific and environmental factors. The average levels of 'expression' and 'explanation' in the 'writing' domain of mathematical communication gradually increased, with specific teacher feedback supporting improvements in students' communication levels. Based on these findings, the study suggests implications for the use and guidance of mathematical journal writing activities in school settings.

• Communications of Mathematical Education
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• v.18 no.1 s.18
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• pp.73-87
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• 2004

현장에서 수업을 하다 보면 의외로 학생들이 곱셈구구는 잘 외우고 있지만 곱셈의 개념에 대해서는 잘 모르고 있다는 것을 많이 발견할 수 있다. 이것은 곱셈에 대한 개념을 도입할 때 학생들이 왜 곱셈을 배우는가에 대해서 스스로 절실하게 생각해 보고 발견해 보는 경험이 부족했기 때문이라고 생각한다. 곱셈이 왜 필요하고 곱셈식으로 나타내는 것이 얼마나 좋은 방법인지 학생들이 깨달아 덧셈구조에서 곱셈구조로의 개념의 변화가 일어날 수 있도록 지도한다면 이러한 문제점을 어느 정도 해결할 수 있지 않을까 생각해본다. 따라서, 본 연구에서는 자연수의 곱셈에 대한 이론적 배경과 교육과정을 알고 이를 바탕으로 수학교육 이론에 근거한 자연수의 곱셈의 교수-학습 지도 방안에 대하여 거시적 입장에서 고찰해 보고자 한다.

• 한국정보교육학회:학술대회논문집
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• 2004.01a
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• pp.486-494
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• 2004

본 연구는 ICT를 활용하여 수학과 교수 학습 과정안을 만드는 과정을 통하여 교원 양성기관의 교육과정에 ICT활용 교육방법의 도입과 함께 예비 수학 교사들의 ICT활용 능력을 키우고자 하는데 목적이 있다. 또한 이로써 ICT활용 교수 학습 과정안을 학교 수업에 적용함으로써 단순히 방법적 측면에서의 도구적 교체가 아닌 교육의 패러다임 변화를 통한 학습과정의 질적 개선을 추구하는데 궁극적인 목적을 둔다 수학교육론시간에 학부생을 대상으로 직접 ICT활용 교수 학습 과정안을 만들었으며 중학교 수학 1, 2학년 교과 내용을 211개의 교수학습 과정안으로 개발하였다. 이를 위하여 교과서 및 교육과정 분석 교수학습 모형정립 등의 과정을 거쳤으며 내용적 연구와 함께 과정안의 구현을 위한 기술공학적 실습 과정을 병행하였다.