• Title/Summary/Keyword: aims of mathematics education

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ON THE CONHARMONIC CURVATURE TENSOR OF A LOCALLY CONFORMAL ALMOST COSYMPLECTIC MANIFOLD

  • Abood, Habeeb M.;Al-Hussaini, Farah H.
    • Communications of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.269-278
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    • 2020
  • This paper aims to study the geometrical properties of the conharmonic curvature tensor of a locally conformal almost cosymplectic manifold. The necessary and sufficient conditions for the conharmonic curvature tensor to be flat, the locally conformal almost cosymplectic manifold to be normal and an η-Einstein manifold were determined.

A Study of Relationship between SDLR, the Score of Mathematics Diagnostic Assesment and Achievement in College Mathematics of Engineering Students (공과대학 신입생의 자기주도학습준비도와 수학기초학력평가성적 및 대학수학학업성취도 관계 연구)

  • Lee, Gyeoung-Hee;Kwon, Hyuk-Hong
    • Journal of Engineering Education Research
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    • v.16 no.1
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    • pp.54-63
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    • 2013
  • This study aims to investigate relationships among self-directed learning readiness [SDLR], prerequisite mathematics test score and achievement level in college mathematics. For this purpose, the adjusted SDLRS (self-directed learning readiness scale) of Guglielmino's model, the score of mathematics diagnostic assesment and first semester college mathematics score among 424 freshmen students of engineering department of D university in 2011 were used and analyzed. Research results are as follows: Firstly, freshmen of engineering department had average level of SDLR, though they showed relative low level of self-direction, passion and time control ability. Secondly, considering SDLR with the mathematics diagnostic assesment score (3 groups: high, middle, low), there were no statistically significant differences. Thirdly, concerning SDLR according to the achievement level in college mathematics, a group which acquired good achievement showed higher level of SDLR compared with middle or lowachievement group. Differences among three groups were statistically significant. Lastly, there were affirmative relationships between SDLR, mathematics diagnostic assesment score and achievement in college mathematics. Furthermore, mathematics diagnostic assesment score and achievement level in college mathematics were found to be the most closely related. Based on the results, we suggest strategies to elevate SDLR of engineering department students and improve their achievement in college mathematics.

A Study on the Development and Application of Family Math Program (가족단위 수학공감 프로그램의 개발 및 운영 연구)

  • Chang, Hyewon;Lim, Miin;Yu, Migyoung;Park, Haemin;Nam, Jihyun;Kim, Hyejin;Lee, Hyewon;Shin, Saeme;Jeong, Jinhwan;Lee, Sangeun
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.4
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    • pp.427-451
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    • 2018
  • This study aims to develop a family math program that can be experienced by the families in accordance with the 2nd Mathematics Education Comprehensive Plan and to spread the positive attitude and perception of mathematics to the people by applying the family math program for the family units. And this study aims to suggest some concrete ways to develop and apply family math sympathy programs. For this purpose, we developed over 24 activities for math tour, mathematical games, math activities, my home math, historical math, and e-world mathematics, which can be enjoyed by infants and students in the levels of elementary school and secondary school. And we applied these programs to 175 families eight times and surveyed them using a questionnaire. Based on the results, some implications related to the development and application of a family math sympathy program to disseminate a positive culture of mathematics were derived.

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Mathematics teachers' knowledge and belief on the high school probability and statistics (수학교사의 확률과 통계에 대한 지식과 신념)

  • Kim, Won-Kyung;Moon, So-Young;Byun, Ji-Young
    • The Mathematical Education
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    • v.45 no.4 s.115
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    • pp.381-406
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    • 2006
  • This work aims to investigate mathematics teachers' knowledge and belief on the high school probability and statistics. For this aim, two research questions are estabilished as follows. (1) How is mathematics teachers' knowledge on the main contents of the high school probability and statistics in the 7th mathematics curriculum? (2) What is mathematics teachers' belief on the high school probability and statistics? Survey and interviews were carried out to answer the above research questions. Subjects of the survey were 2 7mathematics teachers who were answered to questionnaire. Among them, 3 volunteers were chosen by provinces for in-depth interview. Research findings in mathematics teacher's knowledge are as follows. Firstly, mathematics teachers do not have much of mathematical knowledge on the newly added and changed contents of the high school probability and statistics in the 7th mathematics curriculum. Secondly, mathematics teachers do not change their teaching-learning method for probability and statistics. Thirdly, many teachers think that the use of technology and reconstruction of the textbooks are required in teaching and learning of the high school probability and statistics. But, they stick on their own way. Research findings in mathematics teachers' belief are as follows. Firstly, many mathematics teachers view the nature of statistics as a branch of the applied mathematics and put the value of high school probability and statistics on the practical usefulness, Secondly, many mathematics teachers think that understanding concepts and improving problem solving ability are the best method of the teaching and learning. Thirdly, many mathematics teachers think that high school probability and statistics textbooks should cause motivations and interests in order not to give up studying probability and statistics. It is expected that the above findings can be used to change teachers' teaching and learning methods and to improve teachers training program.

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Development and application of artificial intelligence education program for mathematics convergence using robots (로봇을 활용한 수학 융합 인공지능 프로그램 개발 및 적용: 4학년 '각도'와 '사각형' 단원을 중심으로)

  • Choi, Sun Young;Chang, Hyewon
    • Education of Primary School Mathematics
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    • v.27 no.1
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    • pp.19-38
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    • 2024
  • This study aims to analyze the characteristics of students' understanding of artificial intelligence and mathematical concepts by developing and applying an artificial intelligence education program for mathematics convergence using robots. To this end, we analyzed the content standards of elementary artificial intelligence education to extract conceptual elements of artificial intelligence and identified mathematics achievement standards that can effectively integrate them. In particular, a five-session (15 classes in total) program was developed by selecting the units 'angle' and 'quadrilateral' suitable for utilizing the robot's movement and reorganizing the lesson to integrate the mathematics achievement standard with the artificial intelligence content elements. As a result of applying this to 22 fourth grade elementary school students over five months and analyzing the students' understanding revealed by topic of artificial intelligence content, the artificial intelligence education program for mathematics convergence using robots was helpful in students' understanding artificial intelligence principles and mathematical concepts. In addition, the use of robots was confirmed to improve students' understanding of artificial intelligence and mathematics as well as their participation in class by making them visually check a series of performing procedures.

A Study on Development of Performance Assessment Tools for Mathematics in the Primary School (초등수학과 수행평가도구 개발 -1, 2학년 포트폴리오를 중심으로-)

  • 정영옥
    • School Mathematics
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    • v.2 no.2
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    • pp.357-388
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    • 2000
  • This study aims to develop performance assessment tools for mathematics in the primary school. In order to achieve this aim, it reviews the tics in the primary school. In order to achieve this aim, it reviews the meaning and the purpose of mathematics performance assessment, and the characteristics of performance assessment tasks. Then the framework for portfolio developed in this study is introduced. This portfolio is called 'mathematical thinking and applying'. It aims at balanced assessment for improvement of mathematics instruction. It is composed of journal writhing, problem by the student, constructed task, work samples, written test, self assessment, teacher's comment and parents' comment. The criteria of performance tasks is categorized in impact, reasoning, accuracy and communication. The procedures of development of these tasks are as follows: the analysis of mathematics curriculum for the primary school, the design of performance tasks with considering teaching unit goals, designing rubrics, discussing these tasks with teachers in primary school, modifying them when is needed, observing the process of children's task performing, interviewing with teachers and final modifying. After performance assessment tasks are implemented, the answers by the students is analyzed using rubrics. Then anchor papers are selected. Also, the errors of children are analyzed. Through the process, teachers can obtain the information of children for improvement of mathematics instruction. Finally in order to generalize this study, I suggest that we need to cooperate with the field of education and to establish expert assessment groups.

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Examining the Prospective Elementary Teachers' Perspectives on Mathematics Class - Focused on the Comparison of the Comments on the Mathematics Class - (초등학교 예비교사들의 수학 수업 관점에 대한 연구 - 예비교사들의 수업 논평 비교를 중심으로 -)

  • Na, Gwi-Soo
    • School Mathematics
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    • v.10 no.2
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    • pp.279-296
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    • 2008
  • This research aims to compare and identify the prospective elementary teachers' perspectives on mathematics class. In this aim, we analyzed the comments on the mathematics class by the prospective elementary teachers (senior students and junior students) who are differ in the time of study in the University of Education. As the results of this research, the senior students commented the mathematics class by applying the theories in mathematics education, but the junior students did not. Furthermore, the senior students had the more rigid perspectives on mathematics class and commented in more depth on mathematics class in comparison with the junior students. While, the senior students showed a weak point that they overextended and over-applied the some mathematics education theories in the comments on mathematics class.

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A Study on Development and Utilization of the Mathematical Teaching Materials for the Whole Man Education -For the 3rd Graders in High School after the Scholastic Ability Test- (전인 교육을 위한 수학 학습 자료 개발.활용에 관한 연구 -대학수학능력시험 이후 고등학교 3학년을 대상으로-)

  • 이종연
    • School Mathematics
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    • v.3 no.2
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    • pp.249-265
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    • 2001
  • In this information-oriented society of the 21st century, our education should combine the knowledge from the past and present in order to have students be ready to solve “the problems in the future”. But nowadays, our social situation makes much importance of the “cramming” education just for the College Scholastic Ability Test rather than the “whole man” education for making creative citizens of the future society. So does mathematics education. In a high school, mathematics education should be toward these aims: recognizing the value of math, applying mathematical principles to actual lives, promoting students' thinking ability. Also, it should focus on teaching higher level of mathematical knowledge which includes more logical and abstract idea so that students can prepare for the global society of the future. This study is about development and utilization of the teaching materials for mathematics class which usually deviates from the routine right after the Scholastic Ability Test finished. These materials are the result of a complete survey of the 3rd graders and their teachers and designed to use for 30 periods of class from after-the-test-finished to graduation. The materials consist of a history of mathematics, puzzles, magic number squares, and so on. Remarkably different from the current textbooks which deal with sets, equations, functions, these materials proved to be useful for their variety and attraction. Consequently, the materials are considered to keep the 3rd graders from forgetting mathematics even after the Scholastic Ability Test, and to help them recognize that mathematics is a kind of basic and cultural study and a tool of daily lives.

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A Study of Modeling Applied Mathematical Problems in the High School Textbook -Focused on the High School Mathematics Textbookin the First Year- (모델링을 활용한 문제의 연구 - 일반수학을 중심으로 -)

  • 김동현
    • Journal of the Korean School Mathematics Society
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    • v.1 no.1
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    • pp.131-138
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    • 1998
  • The aims of mathematical education are to improve uniformity and rigidity, and to apply to an information age which our society demands. One of the educational aims in the 6th educational curriculum emphasizes on the expansion of mathematical thought and utility, But, The change of contents in the text appears little. This means that mathematical teachers must actively develop the new types of problems. That the interests and concerns about mathematics lose the popularity and students recognize mathematics burdensome is the problems of not only teaching method, unrealistically given problems but abstractiveness and conceptions. Mathematical Modeling is classified exact model, almost exact theory based model and impressive model in accordance with the realistic situation and its equivalent degree of mathematical modeling. Mathematical Modeling is divided into normative model and descriptive model according to contributed roles of mathematics. The Modeling Applied Problems in the present text are exact model and stereotyped problems. That the expansion of mathematical thought in mathematics teaching fell into insignificance appears well in the result of evaluating students. For example, regardless of easy or hard problems, students tend to dislike the new types of mathematical problems which students can solve with simple thought and calculation. The ratings of the right answer tend to remarkably go down. If mathematical teachers entirely treat present situation, and social and scientific situation, students can expand the systematic thought and use the knowledge which is taught in the class. Through these abilities of solving problems, students can cultivate their general thought and systematic thought. So it is absolutely necessary for students to learn the Modeling Applied Problems.

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Searching for Korean Perspective on Mathematics Education through Discussion on Mathematical Modeling (모델링 관점에 대한 논의에서 본 한국 수학교육의 관점 탐색)

  • Lee, Kyeong-Hwa
    • Journal of Educational Research in Mathematics
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    • v.20 no.3
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    • pp.221-239
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    • 2010
  • Attention to Korean perspective mathematics education has been increasingly paid m international academic meetings or international comparative studies. Personal or intuitive, vague explanation has been given based on limited literature or observations. This increasing attention and Jack of studies warrant the necessity of systematic researches on it. This article aims at clarifying the research issues in searching for Korean perspective on mathematics education and finding the starting point through discussion on mathematical modeling by teacher on researchers and researchers. Firstly, hypothetical perspective will be described. Secondly, Fourteen teacher educators' and seven researchers' opinion on it will be discussed. Findings imply that strong responsibility for Korean mathematics teachers to reveal theoretical aspects of mathematical knowledge, i.e., structure or essence, as well as to pursue efficiency and effectiveness in mathematics teaching and learning is the main aspect of Korean perspective on mathematics education.

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