• Title/Summary/Keyword: teaching-learning in mathematics

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Study on the Ability Level Test of Mathematics Application

  • Dan, Qi;Song, Naiqing;Zhang, Nan
    • Research in Mathematical Education
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    • v.11 no.4
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    • pp.235-246
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    • 2007
  • The background and the existing problems in teaching of mathematics application were analyzed. Based on the mathematics knowledge which from the simple application, complicate application, and synthetically application to the mathematics modeling, the ability level test questions of mathematics application was worded out to help the teaching and learning in mathematics application.

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Activation method of inquiry activity for students playing a leading role in teaching and learning by applying the van Hiele's learning process by stages in undergraduate pre-service teachers' mathematics class (van Hiele의 단계적 교수법에 근거한 예비교사들의 수학 수업에서 탐구 활동의 활성화 방안 탐색)

  • Hwang, Seok-Yoon;Kim, Ik-Pyo
    • Journal of the Korean School Mathematics Society
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    • v.18 no.1
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    • pp.39-60
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    • 2015
  • It is one of the fundamental issues that students in teaching and learning process should take a proactive role in school mathematics. Inquiry or discovery learning in school mathematics is the specific method for students to participate in lessons on their own initiative, which is supported by many scholars in mathematics education. In this paper, we investigate pre-service teachers' perspectives of Inquiry or discovery learning by intensively analyzing information and guided orientation in teaching practice. From this, we find the direction of the pre-service teacher training program for carrying out pre-service teachers' role to help students to take a proactive role in school mathematics.

On a direction in the teaching of differential equations (미분방정식 지도에 대한 소고)

  • Park, Jeanam;Jang, Dongsook
    • Communications of Mathematical Education
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    • v.28 no.3
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    • pp.339-352
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    • 2014
  • In this paper we introduce mathematical modellings in teaching and learning differential equations which were adopted by 2009 revised curriculum. The textbook of 'Advanced Mathematics II' published in 2014 with one publisher includes the content of the second order differential equation y"+y=0 by the power series method. This paper discusses the issue of the power series and gives an alternative method to explain problems of differential equation. Also, we found that the textbook of 'Advanced Mathematics II' used the mechanical system not electrical system in solving differential equation problems. Thus this paper suggests a method using an electric circuit in teaching and learning the first order differential equation. Finally we suggest some terminologies in the teaching and learning of differential equations.

Directions for Future Research for Introducing Computer Technology into Mathematics Eduction (컴퓨터공학의 도입을 위한 수학교육연구의 방향)

  • 조완영;권성룡
    • The Mathematical Education
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    • v.39 no.2
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    • pp.179-186
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    • 2000
  • Although computer technology has a great potential for improving mathematics learning practice, it rarely used in mathematics classroom. The purpose of this study is to suggest the future direction for research in mathematics computer technology. First, there has to be a research on mathematics curriculum that take computer technology into account. Second, research on teaching sequence for certain content area is needed. Because computer technology would change the order of teaching sequence. Third, how students would learn with computer technology? how do they acquire knowledge and make sense of it? Fourth, how could we assess the learning with computer technology? Most of all, because teachers play a key role to succeed in educational reform, they have to be familiar with computer technology and software to introduce it into mathematics learning and to use it properly.

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An Integrated Approach to Teaching and Learning College Mathematics

  • Ahuja, Om P.;Jahangiri, Jay M.
    • Research in Mathematical Education
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    • v.7 no.1
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    • pp.11-24
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    • 2003
  • The key features of our integrated approach to teaching and loaming college mathematics include interactive and discussion-based teaching, small group work, computer as a tool, problem solving approach, open approach, mathematics in context, emphasis on mathematical thinking and creativity, and writing/communicating about mathematics. In this paper we report a few examples to illustrate the type of problems we use in our integrated approach.

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Study for Teaching Mathematics using Graphing Calculator (중등수학교육에서 그래픽 계산기를 활용한 수업모형 연구)

  • 박은주
    • School Mathematics
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    • v.1 no.2
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    • pp.529-545
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    • 1999
  • The purpose of the study is to introduce a model for learning-teaching mathematics using graphing calculator. This study consists of four main chapters. In chapter III, there are some Teaching Procedures and reports. Graphing calculator was used as a tool in understanding mathematical concepts and solving given problems. Also there is an example of performance assessment on second-grade students in high school. This study left much to be desired and has to be followed by a continuing study to make it better.

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A Study on Cultivating Creativity through Various and Divergent Thinking Activities - Focused on Mathematics Education in Elementary School - (다양한 확산적 사고활동을 통한 창조성 육성에 관한 연구 - 초등학교 수학교육을 중심으로 -)

  • Lim Mun-Kyu
    • Journal of Elementary Mathematics Education in Korea
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    • v.10 no.1
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    • pp.1-19
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    • 2006
  • It is generally accepted that fostering creative thinking is a core in mathematics education and accumulating research products on that topic is really needed. In this study, I hoped to investigate and verify that in mathematics education it was possible to cultivate creative thinking through various and divergent activities, For this purpose, I delat with some illustrations, in which students learned mathematics through the operational activities using teaching tools, problem solving and problem posing activities, and finally they seemed to foster creative mathematical thinking. In conclusion of this paper, I have suggested that in math education those activities should be used to cultivate students' creative thinking in kindergarten or early elementary school. Also I asserted that it is urgently need to store up research products about various materials and methods for those mathematics teaching and learning.

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The effects of teaching based on formative assessment using descriptive problems mathematics learning attitudes and academic achievement (서술형 문제를 활용한 형성평가가 수학적 학습태도 및 학업성취도에 미치는 영향)

  • An, Jong Su
    • East Asian mathematical journal
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    • v.37 no.2
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    • pp.169-196
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    • 2021
  • The purpose of this study was to improve academic achievement and mathematics learning attitudes in the formative assessment using descriptive problems as an effective teaching method. In this paper we set the following research questions. First, how would you improve students' academic achievement utilizing descriptive evaluation? Second, how would improve students' mathematics learning attitudes utilizing descriptive evaluation? Third, what was the reaction utilizing the descriptive method to evaluate? The result of this study could be seen as follows. The experimental group than the control group on academic achievement shows a significant improvement. Second, the experimental group compared to the control group in mathematics learning attitude changes could be helpful and appreciated. Third, experimental group than in the control group indicates significance could be seen in the reaction.

The Development of Teaching-learning Materials based on Real life and the Investigation of Students's cognition change about Mathematics class using Developed materials (실생활 중심의 교수-학습 자료 개발과 이를 활용한 수학 수업에 대한 학생들의 인식 변화 고찰)

  • Lee, Shin-Deuk;Kwean, Hyuk-Jin
    • Journal of the Korean School Mathematics Society
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    • v.10 no.1
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    • pp.45-69
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    • 2007
  • In the 21st century, knowledge-based and information-based society requires not just the capability of applying mathematics simply but mathematical power such as problem-solving ability which composes and solves problems using mathematical knowledge in real-life and fields of various subjects. However, to develop mathematical power, we need various teaching and learning methods which raise basic mathematical knowledge, the inference capability, problem- solving ability, the flexibility of thinking, the expressing and transforming ability of mathematical ideas, perseverance, interest, intellectual curiosity, and creativity. In this paper, we develop the teaching-learning plans based on real life using the various methods of learning and then we analyze the change of students's cognition of mathematics and the students's reaction of the class.

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The Development of Mathematics Teaching Efficacy Instrument (수학 교수 효능감 측정 도구 개발 연구)

  • Kang, Moonbong;Kim, Jeongha
    • Journal of Elementary Mathematics Education in Korea
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    • v.18 no.3
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    • pp.519-537
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    • 2014
  • Teacher efficacy influences teacher's own behaviors in class and students outcomes such as achievement, motivation and their own self-efficacy. In recent years, self efficacy and teacher efficacy are becoming more popular in many educational aspects. Teacher efficacy depends on him/her and each tasks and goals. Therefore, we need special instrument for measuring mathematics teacher efficacy. On this study, we derived educationally meaningful factors on mathematics teacher efficacy from previous literature. We developed Mathematics Teaching Efficacy Instrument(MTEI) consisted of 30 items with 6-point Likert scale. The six factors are as follows; mathematics teaching efficacy expectancy, mathematics teaching outcome expectancy, mathematics teaching content knowledge, teacher belief on their own students, the past mathematics learning experience for teacher own, influence from social-cultural environment.

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