• Title/Summary/Keyword: university math education

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Design and Application of Math Class with Robot (로봇 활용 수학수업의 설계 및 적용)

  • Kim, Chul
    • Journal of The Korean Association of Information Education
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    • v.17 no.1
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    • pp.43-52
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    • 2013
  • As a tool of programming education, a robot is effective in creative problem solving abilities and logical thinking skills. It also provides practical, operational learning experience to learners, when using as a tool of learning, it can help learners' specific understanding for the contents of education and lead to an active participation in learning. This research focuses on the robot's instrumental use in the mathematics class. So the lesson activities with relation to the fourth grade math curriculum were developed after the functional analysis of the robot and the extraction of educational utilization with function. The result shows that there wasn't a significant difference in achievement test but there was a positive response in the most of the survey items. It shows that robots lead to an active participation in class, to be interested in math class and were helpful to understand math concepts. There was also a positive response in the result of learner interviews such as dynamic, collaborative communication, experiential, practical lessons that are rare sights in normal math class.

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The Operational Approach and Structural Approach to the Mathematical Concepts - Focusing on exponential function and logarithmic function - (수학적 개념에 대한 조작적 접근과 구조적 접근 - 지수함수와 로그함수를 중심으로 -)

  • Kim, Bu-Yoon;Kim, So-Young
    • Communications of Mathematical Education
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    • v.21 no.3
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    • pp.499-514
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    • 2007
  • In modern mathematic education, the development of mathematical ability based on the understanding of mathematical concepts has been emphasized in curriculum and teaching methodology. Also, in schools, most math teachers stress the importance of mathematical concepts in doing math well. Thus, in this paper, we outlined the development of mathematical concepts through the literature survey. And then, based on the Sfard's definition of mathematical concepts, which classifies math concepts into the operational approach and structural approach, we analyzed the math concepts of exponential function and logarithmic function units in three highschool math textbooks. As the result, we found that the textbook authors used different approach for the same concepts, and, at the same time, they used both approaches to help develop the students' math concepts.

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Enhancing Expertise as Math Academic Counselor : Self-study for Math Teacher (수학학습 상담 전문성 신장을 위한 자기연구)

  • Lee, Hee Yeon;Ko, Ho Kyoung
    • Communications of Mathematical Education
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    • v.30 no.2
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    • pp.225-249
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    • 2016
  • This study focuses on enhancing expertise as a study advisor for mathematic teacher in field based on self-study method. By advising math study with students in school, the research was carried out 'process & content of mathematic study method advisement', 'process & content of the self-questioning by the math study adviser', and 'enhancing expertise as a math study counsellor by self-study method'. Overall process has been proceeded through preparation, experiment, result & analysis. Experiment has been done based on consultation modeling for academic high school which ran five times. During consultation, based on analysis & result, researcher has recorded 'self-questioning' report. This report is utilized for 'self-examination' for the researcher along the discussion with counselor for enhancing expertise as a study advisor. By above process, practitioner identifies each own's pros & cons as a mathematic study advisor and strengthens the skill while understanding the subject: student. by 'self-studying' method, advisor enhances its own expertise as a teacher with the achieving student and learns practical knowledge for a math study advisor.

Interactive Engineering Mathematics Laboratory (SageMath를 활용한 '대화형 공학수학 실습실'의 개발과 활용)

  • Lee, Sang-Gu;Lee, Jae Hwa;Park, Jun H.;Kim, Eung-Ki
    • Communications of Mathematical Education
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    • v.30 no.3
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    • pp.281-294
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    • 2016
  • This study deals with the content that was developed by the authors and the utilization of the 'Interactive Engineering Math Laboratory (IEmath Lab).' IEmath Lab provides online review lectures as well as a wide range of examples and exercises from the curriculum of engineering mathematics courses. The lectures come with pre-coded Python-based SageMath cells through which students can run and modify the code directly from this free laboratory. IEmath Lab is accessible via mobile devices so that the students can use it anywhere, anytime for maximum learning effectiveness and achievement. IEmath Lab would be an ideal tool for the effective learning and teaching of engineering mathematics, which combines theory and practice.

CARE Model-based Math Learning Coaching Model Development Study (CARE 모델 기반 수학학습 코칭 모델 개발 연구)

  • Kim, Jung Hyun;Ko, Ho Kyoung
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.511-533
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    • 2022
  • The purpose of this study is to develop a learning coaching model suitable for the mathematics subject by reflecting the characteristics of the mathematics subject and the mathematics teaching/learning process in the CARE learning coaching model that supports students' self-directed learning. The mathematics learning coaching model developed in this study is a 'step' and 'element' to apply coaching, and a 'strategy' for carrying out it. Mathematics learning coaching model evaluated rapport, trust, state management, and math pre-test as elements of 'creating a comfortable atmosphere', and problem recognition, hypercognition, restructuring, initiative, and math learning ability as elements of 'improving perception'. Self-efficacy, learning readiness, confirmation (feedback) as elements of the 'reawakening of learning immersion' stage, voluntary motivation and success experiences as elements of the 'empowerment' stage, and various math learning strategies to perform each element presented. The math learning coaching model can be used to help math teachers motivate students to learn and help students solve their own problems.

The Comparison of Students Grade Level on the Integrated Learning Program for Mathematical Problem Solving using EPL (EPL을 활용한 수학문제해결 통합교육프로그램의 학년 수준 비교)

  • Han, Seon-Kwan;Kim, Soo-Hwan
    • Journal of The Korean Association of Information Education
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    • v.14 no.3
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    • pp.311-318
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    • 2010
  • In this paper, we proposed the integrated education program of informatics and math for solving problem using EPL. We applied a integrated math curriculum with EPL and analyzed mathematical thinking and attitude to the 3rd and 5th students. We used mathematical thinking test, mathematical attitude test and interview through student review. We also analyzed data of observers who are elementary school teachers. The results of test are as follows; First, we found effective points of meta-cognition and visualization of thought in solving the mathematical problem using Scratch. Second, mathematical thinking and attitude showed the result that 3rd grade students are more increased than 5th grade students in pre and post t-test of the mathematical. Consequently, we expect that the integrated education program of informatics and math using EPL can be applied to solve problem in math effectively.

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University Freshmen's Basic Mathematical Abilities (대학 신입생의 수학 기초실력 분석)

  • Lee, Gyou-Bong;Oh, Won-Tae;Wee, In-Sook;Chang, Joo-Sup
    • Communications of Mathematical Education
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    • v.21 no.4
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    • pp.613-620
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    • 2007
  • We made an investigation into basic mathematical abilities and made university freshmen an object of this study in order to find out the reason why their capabilities are remarkably behind in studies year by year. According to the survey, we confirmed that recent university freshmen's basic abilities to attend calculus class, right away after entering university, are insufficient for that class. In particular, a matter of grave concern is that score variations are so big despite the equal major of the same university. The aim of the study is to evaluate university freshmen's basic mathematical abilities in nationwide university and to figure out the real situation, then to give assistance to the proper calculus curriculum of university by reflecting the result in it. And also we wish to be helpful to propose proper policy plan in natural science system of highschool.

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Envelope of the Wallace-Simson Lines with Signed Angle ${\alpha}$

  • Bae, Sung Chul;Ahn, Young Joon
    • Journal of Integrative Natural Science
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    • v.5 no.1
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    • pp.38-41
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    • 2012
  • In this paper we show that for any triangle and any point on the circumcircle the envelope of the Wallace-Simson lines with signed angle ${\alpha}$ is a parabola. The proof is obtained naturally using polar coordinates. We also present the reparametrization of the envelope which is a linear normal curve.

A survey on the status and content of after-school mathematics class - Focusing to the elementary school in Busan - (초등학교 방과후학교 수학과 수업의 운영 실태 조사 -부산광역시 방과후학교를 중심으로-)

  • Lee, Young Hee;Kim, Sung Joon
    • Journal of the Korean School Mathematics Society
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    • v.17 no.3
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    • pp.385-408
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    • 2014
  • The purpose of this study is to find out the actual status of the math after-school program in the elementary school and the content of the program. We survey the 115 math external math lecturers of the 100 elementary schools in Busan and analyze the results. Research questions are set as follows. 1. What is the status of the elementary math after-school? 2. How is the content of the program of the elementary math after-school? The results of the survey are analyzed as follows. First, any of the external math after-school lecturer did not major in math education and 87% of them majored in another discipline. Second, 47% of the external math after-school lecturers are employed by privately-held companies. Third, 64.4% of the content of the after-school programs is the supplement and deepening of the regular math class. Fourth, 76.5% of the time of the first class of the math after-school program is 50 minutes and 46% of the math after-school opens 5 classes per a week. Fifth, most programs consist of the problem-solving style class. Sixth, it is difficult to run the math after-school according to students' level and grade. Based on the above discussion, I suggest the following. First, math after-school class should be the action-oriented class to motivate the positive and interested participation of the students. Second, lecturer training and various math class programs is required to improve the quality of the math after-school class.

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A comparative study on the assessment results and achievement levels of gifted students in mathematics (영재교육원 수학과 평가결과와 영재아들의 성취수준 비교 연구)

  • Kang, Yun-Soo;Cho, Byung-Chan
    • Communications of Mathematical Education
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    • v.21 no.2 s.30
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    • pp.347-360
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    • 2007
  • In this study, we made the analysis of the relation with mathematical tests and scholastic attainments of gifted students using the results of entrance end comprehensives exams and so on in science education center for gifted youths. For this, we firstly made an analysis of correlation between math and math, math and science and science and science using the test results. And then, we interviewed four students. From this, we found followings. First, in every assessment except for those carried out during the semester in the center, we saw a very low or negative correlation between the students' grades in math and that in science. Second, in contrast to the correlations among other assessments, a high correlation of the students' grades in math and science appeared in regard of the assessments carried out during the semester in the center. Third, correlations between the grades of assessments in mathematics were much lower than that in science. Fourth, many students thought the assessments in the center were not as valuable as those in their schools, which are referred to in getting into a school of high grade. So some of the students who gained excellent grades showed a relatively low achievement. Fifth, students in the center regarded a vigorous communication and inquiry learning on enriched themes as the biggest merit of attending the center.

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