• Title/Summary/Keyword: Mathematical Achievements

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A Study on Convergence between Mathematics and Fine Arts by Galileo Galilei (갈릴레오의 수학과 미술의 융합에 관한 연구)

  • Jung, Won
    • The Journal of the Convergence on Culture Technology
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    • v.6 no.1
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    • pp.255-261
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    • 2020
  • Versatile and innovative interdisciplinary professionals refer to those who can engage in an efficient cooperation with experts in other fields or to those who can themselves put knowledge of different fields together. This article aims to look into Galileo Galilei as an example of historic figure that made remarkable achievements by merging knowledge in multiple fields of study. It also shows that Galileo, who had active exchange with painters during the Renaissance, presented the findings from his telescope observations in the form of drawings and that he used them to build core logics that criticizes the traditional Aristotelian cosmology. Galileo drew the critical logics, hardly achievable from a simple observation report or mathematical demonstration, from his hand drawing. The Galileo case well proposes the goals and direction of how the modern society should nurture its interdisciplinary professionals today.

Cognitive Development Effect of Mass Media: Revealing the Relationships among Mass Media Consumptions, Intelligence, and Academic Achievement (매스미디어의 인지개발효과: 매스미디어 이용과 다중지능, 그리고 학업성적과의 관계)

  • Chang, Ik-Chin
    • Korean journal of communication and information
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    • v.37
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    • pp.377-417
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    • 2007
  • This study examines some cognitive development effects of mass media while testing the relations between mass media consumption and academic achievement and intelligence. In this research, students' television, newspaper, and internet consumption behaviors are used as independent variables which include motivations and magnitude of various content categories' and total consumption of those media. Dependent variables are school courses' test scores and eight intelligence scores based on Howard Gardner's multiple intelligence theory. It was found that media consumption magnitudes of various content categories have the most strong effects on those dependent variables. Each of various media consumption behaviors are found to have different effects according to which variable is dependent. For example, total internet consumption have positive effects on logical-mathematical intelligence but negative effects school achievements. Internet game sight have positive effects on logical-mathematical intelligence but negative effects on musical intelligence. It may be concluded that cognitive development is dependent mainly on what media contents students consume. Media consumption behaviors may have positive effects on some kinds of cognitive development and negative effects on other kinds. In other words, television or internet may have positive effects on academic achievement or intelligence contrary to popular thinking.

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An analysis of student engagement strategy and questioning strategy in a peer mentoring teaching method (동료 멘토링 교수법에서 교사의 수업 참여전략과 발문전략 분석)

  • Choi, Sang-Ho;Ha, Jeong-Mi;Kim, Dong-Joong
    • Journal of the Korean School Mathematics Society
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    • v.19 no.2
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    • pp.153-176
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    • 2016
  • The purpose of this study is to suggest ways to promote student engagement by analyzing how a teacher's student engagement strategies and questioning strategies affect class participation and problem solving in a peer mentoring teaching method. As for the purpose, after recording 7th grader's classroom using a peer mentoring and transcribing classroom discourse, we analyzed student engagement strategies for class participation and questioning strategies for helping mathematical concepts and problem solving, and compared mathematics achievements in mid-term and final exams. As results, in learning environments based on comfortable atmosphere, diverse student engagement strategies and appropriate questioning strategies with effectiveness of peer mentoring encouraged students to participate in class by motivating them, helped them to develop mathematical concepts and deepen understanding of problem solving through effective social interactions, and improved student achievement in mathematics. The results can practically help to develop class design considering both student engagement strategy and questioning strategy by specifically presenting a teaching method for promoting student engagement and teacher's contributions to it.

Analysis of the Results between On-Line and Face-to-Face Classes in 'Calculus' & 'Mathematical Education Theory' (수학교과교육학 및 교과내용학 강좌의 대면 및 비대면 운영 결과 비교 분석)

  • Suh, Boeuk
    • Journal of Science Education
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    • v.45 no.2
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    • pp.257-273
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    • 2021
  • This study explores classes for pre-service mathematics teachers. The purpose of this study is to examine the differences between 'non-face-to-face' classes & 'face-to-face' classes, as well as the differences in learning outcomes between these two methods. A Professors' Learning Group was formed to effectively carry out this study. Through this learning group, we shared how to plan and operate the lecture. The subjects of this study are 'non-face-to-face calculus courses & face-to-face calculus courses' and 'non-face mathematics education theory courses & face-to-face mathematics education theory courses." Specifically, in these two pairs of courses, we analyze the differences in course management and the differences in the outcomes of students' assessments. Non-face-to-face classes were planned, developed, implemented and evaluated based on the 'non-face class design model.' The results of this study are as follows: First, we explored the differences between 'non-face-to-face classes/mixed classes' and 'face-to-face classes.' Second, the achievement results in calculus courses were higher in face-to-face classes than in non-face classes. Third, the results of achievements in mathematics education theory courses were higher in mixed classes than in face-to-face classes. Through the results of this study, we hope that the non-face-to-face class capabilities can be improved in pre-service mathematics teacher training.

Changing in Perception of Pre-Mathematics Teachers about Project-Based Learning. (프로젝트 기반 학습에 대한 예비 수학교사의 태도 변화)

  • Kim, Yongseok;Kim, Sohyung;Han, Sunyoung
    • Communications of Mathematical Education
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    • v.33 no.3
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    • pp.231-254
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    • 2019
  • As the teacher-centered education is transformed into learning-centered education, the active knowledge construction of learner becomes important. Along with this change, project-based learning is receiving attention. However, there are many problems to apply the results of research to pre-service teachers because most of the previous studies have focused on elementary middle high school students. Therefore, this study examined the changes in perceptions of pre-service mathematics teachers while project-based learning progressed for one year. Pre-service mathematics teachers had less experience with project-based learning than group discussions, group activities. Also their perceptions was classified as five factors: 'Instructional effects', 'Application and participant of project-based learning', 'Achievement', 'Diffusion of project-based learning', 'Student motivation'. Pre-service mathematics teachers responded positive changes in perception that project-based learning could be motivated to students but they responded negative changes in perception that project-based learning could be distributed to school. They responded positive changes in perception that teachers can show their achievements by project-based learning but they responded negative change in perception that teachers would be fun to apply project-based learning. Also, they responded positive changes in perception that teachers and students were easy to apply or utilize project-based learning.

Analysis of the successful experience in mathematics learning based on grounded theory (근거이론을 통한 수학학습의 성공경험에 대한 분석)

  • Kim, Hong-Kyeom;Ko, Ho Kyoung
    • The Mathematical Education
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    • v.62 no.4
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    • pp.491-513
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    • 2023
  • High achievement in mathematics is a very complex process in which various factors such as cognitive factors, affective factors, and social and environmental factors work respectively and complementary. A number of previous studies conducted so far have shown that there are certain factors affecting math learning and these factors have positive or negative effects on it. However, these studies were conducted with limited variables and it was not possible to present a comprehensive analysis of what would be necessary to get good achievements in mathematics learning. Therefore, in this study, we analyzed the process of experience of students who experienced success in mathematics learning using the analysis method of the grounded theory. In addition, the collected data was analyzed to explain the process of leading to the successful experience in mathematics learning. As a result of the analysis, it was revealed that students form their identity as successful learners through the processes of 'new phase stage', 'experience accumulation stage', 'stand-up stage', and 'maintenance effort stage'. Through this study, we were able to get implications for what actions are needed to experience success in math learning by looking at the process of the experience what interviewees have gone through.

A Study of Teaching Math Underachievers Using Flipped Classroom (거꾸로 교실을 활용한 수학학습부진아의 학습지도에 관한 연구)

  • Kim, Hwan-Cheol;Kang, Soon-Ja
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.521-536
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    • 2017
  • One of difficulties with which teachers meet is to have underachievers with no willingness and motivation for study involved in class. Mathematics underachiever are average or above average in their intelligence but their actual achievement in mathematics did not coincide to their intellectual capabilities. The teaching strategy for them is to motivate them to try to study mathematics and to experience the improvement in their mathematics grade. In this paper, we choose flipped classroom as the strategy of teaching basic mathematics to math underachievers and applied it to them. Then we wanted to make sure the possibility for applying flipped classroom to teaching math underachievers through the analysis of change in the scholastic achievement of students in mathematics and mathematical disposition. The results of this study are as followings; First, when we taught basic math to underachievers using a flipped classroom, we confirm that math underachievers with active participation improved scholastic achievements significantly. Second, the flipped classroom was led to positive effects in an affective domain. In particular, it showed the most noticeable change in the area of willingness to math problem-solving and perception about the value of mathematics.

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Exploring Factors Influencing Affective Characteristics in Elementary School Students: Focusing on School Mathematics Education and Social Environment (초등학생의 정의적 특성에 영향을 미치는 요인 탐색: 학교에서의 수학 교육 및 사회적 환경을 중심으로)

  • Kwon, Jeom-Rae;Kwon, Misun
    • Education of Primary School Mathematics
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    • v.26 no.3
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    • pp.199-217
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    • 2023
  • Affective characteristics have been consistently emphasized in mathematics education, but students' confidence or interest in mathematics has not changed significantly. This study analyzes the factors affecting the affective characteristics according to students' academic achievements, which have not been studied so far. The study was surveyed 593 students in the 5th and 6th grades, divided into school mathematics education and social-environmental factors. As a result of the study, students cited 'mathematics class at school' as the factor that had the most influence on their affective characteristics, regardless of academic achievement. Excluding 'mathematics classes at school', upper level students said that 'private education' and 'college entrance exams and jobs', had the most influence on their affective characteristics. Middle level students said that 'assessment at school' and 'private education' had the most influence on their affective characteristics. Lower-level students said that 'school evaluation' and 'mathematics textbook' had the most influence on the affective characteristics. In particular, as the academic achievement level decreased, students' participation in classes decreased rapidly. Most students said that the mathematics content they were learning was too difficult for that reason. Considering these research results, it would be effective to apply methods according to students' academic achievement to some extent in order to improve affective characteristics.