• Title/Summary/Keyword: Basic mathematical ability

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Understanding of the trigonometric function using Maple (Maple을 이용한 삼각함수의 이해)

  • 한동승;유흥상
    • Journal of the Korean School Mathematics Society
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    • v.4 no.2
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    • pp.1-9
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    • 2001
  • Since the computer is becoming more and more indispensible tool in every fields of the modern society, it is needed and desirable to utilize the computer as a basic tool from the very early stage of the education process. Recently Maple is gaining its popularity as a comprehensive mathematical software with its power of symbolic calculations and graphics as well as its great numerical computational ability. We demonstrate the suitability of this software as a tool for the mathematical education and presents several examples of the applications of Maple. For the middle and the high school mathematics courses, we give the application examples for the quadratic functions and their graphs, statistics, the three dimensional shapes, algebraic problems. Through the examples, we confirm that mathematical education can be much more effective and simple by using Maple. If we establish computer-assisted mathematical classes, we can draw more attention and excitement from the attendants than traditional classes and eventually improve more rapidly their problem-solving ability On the other hand, the excess of the computer-aided education give to obstacle of psychological, not to be passing over the fact.

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The Dynamic Assessment for Lower Grades of Primary School (초등학교 저학년 수학교육에서의 역동적 평가 방안 탐색)

  • Lee, Bong-Ju
    • The Mathematical Education
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    • v.50 no.1
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    • pp.13-25
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    • 2011
  • The Goals of mathematics education for the lower grades of primary school is to shape the basic concepts and the skills of mathematics. To achieve this goal, it is necessary an assessment which is able to help the students' learning activities by precisely diagnosing their basic mathematical capability. It should lend the students an assistance in diagnosing and revising their problems throughout teacher's cognitive participation in the process of mathematical problem solving. I would like to suggest the dynamic assessment as one of these kinds of approaches. In order to prove the utilities of this way, it was examined the necessity of dynamic assessment on the basis of the Vygotsky's theory after looking into the characteristics of the contents and methods of the mathematics education for the lower grades of primary school. Next, I researched the principles of the dynamic assessment and embodied the assessment tool to evaluate the mathematical achievement of the lower grades of the primary school. Lastly, it was provided the examples of the dynamic assessment tool in order to assist the practice of it.

A Study on Teaching Probabilistic Reasoning of Elementary School Mathematics (초등 수학과 확률적 추론 지도에 관한 연구)

  • Kim Tae-Wook;Nam Seung-In
    • Education of Primary School Mathematics
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    • v.9 no.2 s.18
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    • pp.75-87
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    • 2005
  • For Probabilistic Reasoning Ability is useful to predict uncertain fact from information, it's getting more important. But when we consider the actual condition of teaching Probabilistic Reasoning Ability, it doesn't correspond with its importance. So the purpose of this study is, by developing Basic Contents of Probabilistic Reasoning Teaching; by developing and applying Probabilistic Reasoning Teaching Program, to study how the application of it effects the progress of the student's Probabilistic Reasoning Ability.

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Effect of Children's Mathematical Problem Solving Ability and Their Self-Esteem through Havruta Method Using Math Storybooks (수학동화를 활용한 하브루타 수업이 유아의 수학적 문제 해결력 및 자아존중감에 미치는 영향)

  • Lim, Kyeong Mi;Ahn, Hyojin
    • Human Ecology Research
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    • v.55 no.2
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    • pp.193-204
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    • 2017
  • This study examines the effect of 5-year-old children's mathematical problem solving ability and their self-esteem based on the Havruta method using math storybooks. The subjects of this study were 40 5-year-old students attending a kindergarten in the Incheon area: 20 students comprised the treatment group and 20 students comprised the control group. An instrument originally created by Ward (1993) but adapted by Hwang (1997) and later modified by Ryu (2003) was used to test the children's mathematical problem solving abilities. A modified version (Kim, 1997) of an instrument developed by Harter and Pike (1984) was used to measure children's self-esteem. Test results were analyzed using SPSS ver. 18.0 for Windows. The findings are as follows. First, the treatment group that had Havruta classes utilizing math story books was found to improve significantly more than the control group in their mathematical problem solving ability. Havruta classes had positive effects on children's mathematical problem solving abilities. Second, there was no significant difference found between the two groups in terms of self-esteem when the children's self-esteem was compared after Havruta classes that utilize math storybooks. It may not be possible to see immediate changes in children's self-esteem because positive parent and teacher feedback had the strongest influence on 5-year-old children's self-esteem, as opposed to self-learning. The results of this study provide meaningful basic data for Havruta classes that focus on questions and discussions through math story books to increase children's mathematical problem solving abilities in the child education field.

Effective management strategies of basic mathematics for low achievement students in university general mathematics (대학수학 기초학력 부진학생을 위한 기초수학 지도 방안)

  • Pyo, Yong-Soo;Park, Joon-Sik
    • Communications of Mathematical Education
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    • v.24 no.3
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    • pp.525-541
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    • 2010
  • The purpose of this thesis is to investigate the effects of the topics in basic mathematics on academic achievement in order to improve the problem-solving abilities of low achievement students in university general mathematics. This program has been conducted from P University as a part of Education Capacity Enhancing Project. The goals of this program are to make students who have fear to mathematics feel confident for mathematics, and make easier to study general mathematics and major field without any difficulties for the students. The topics in basic mathematics was enforced with solving problem based on comprehension of the basic concept and computer-based learning. The classes were organized as Algebra-Geometry, Calculus, and General mathematics class by students' applications for classes and basic academic ability. As a result, the topics in basic mathematics has been evaluated as positive way to effect satisfaction and learning effect for the students who have low-level in basic academic ability. And also, according to the survey, the result shows that assignment through Webwork system and Mathematica program practice are helpful for learning basic mathematics. But several measures are asked for participation in the class and prevention for quitter of participants.

Exploring the Openness and Innovation of Experiment Teaching in College Mathematics

  • Dan, Qi;Shen, Xiaona;Wu, Songlin;Yang, Tinghong;Fu, Shilu
    • Proceedings of the Korea Society of Mathematical Education Conference
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    • 2010.04a
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    • pp.281-289
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    • 2010
  • Experiment teaching is an important part for science and engineering colleges, teaching through different pilot projects: First, help students to consolidate the theory of operation; second, trail students the capacity and the ability to solve practical problems. Improve students the curriculum of learning, and promote the formation of students to discover and solve the problem. of the basic quality in training students hands-on ability and ability to innovate, while guiding them to develop the attitude of scientific truth-seeking, the style of rigorous and thorough and the spirit of unity and coordination.

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The Effects of Mathematical Activities using 4D-Frame on Young Children's Mathematical Ability and Attitude towards Mathematics (포디프레임(4D-Frame)을 활용한 수학활동이 유아의 수학적 능력과 수학적 태도에 미치는 영향)

  • Yang, Hyo-Sook;Park, Young-Suk;Cho, Kwang-Hyun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.8
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    • pp.146-159
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    • 2018
  • The purpose of this study was to investigate the effects of Mathematical Activities using 4D-frame on 5-year-old children's mathematical ability and attitude towards Mathematics. For the study, E, K, and Y preschools located in S city were selected: 28 children from Y preschool as the experimental group(I: n=14, II: n=14) and 28 children from E and K preschool as the comparative group(III: n=14, IV: n=14). During the 8 weeks, the experimental group performed Mathematical Activities using 4D-frame and in the comparison group, Nuri-Curriculum's mathematical activities and mathematics-science integration programs were conducted. The analysis of covariance(ANCOVA) was conducted with the pre-test scores of the experimental group(I, II) and the comparison group(III, IV) as covariance. The results showed that there were statistically significant differences between the experimental and comparative groups. Mathematical Activities for Young Children using 4D-frame enhanced 5-year-old children's mathematical ability and attitude towards Mathematics. The results of this study provide an understanding of the efficiency of early childhood mathematical activities using the 4D-frame in early childhood education and provide basic data for the improvement of mathematical ability and attitude of young children and the applicable educational methods at the field.

Mathematical Creativity in Mathematics Education (수학교육과 수학적 창의성)

  • Whang, Woo-Hyung;Choi, Kye-Hyen;Kim, Kyung-Mi;Lee, Myeong-Hui
    • Communications of Mathematical Education
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    • v.20 no.4 s.28
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    • pp.561-574
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    • 2006
  • Mathematical creativity has been confused with general creativity or mathematical problem solving ability in many studies. Also, it is considered as a special talent that only a few mathematicians and gifted students could possess. However, this paper revisited the mathematical creativity from a mathematics educator's point of view and attempted to redefine its definition. This paper proposes a model of creativity in school mathematics. It also proposes that the basis for mathematical creativity is in the understanding of basic mathematical concept and structure.

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Analysis of Basic Competency for Basic Mathematics and Background by gender (남녀 학생의 수학 기초학력과 배경 변인의 분석)

  • Kim, Sun-Hee
    • The Mathematical Education
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    • v.46 no.1 s.116
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    • pp.33-52
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    • 2007
  • This study is based on the grade 3 National Diagnostic Assessment of Basic Competency(NDABC) in 2005. The purpose of this study is to analyze the results of NDABC by students' gender. It was 19,257 grade 3 students that participated in this study. The average scores are 89.41 and 88.34 for each male and female. The percentage of Below-Basic level for male students is 4.6% and for female 5.6%. The percentage of female students at Below-Basic level is increasing for 3 years. In particular, the percentage of females at Below-Basic level is higher than that of males in the content of measurement, the cognitive domain of reasoning and problem solving, and the situation of real life. The item difficulty for males is lower in fraction, polygon, and right triangle than for females. But female students need to improve the space sense and the problem solving ability in real life. As for the background of students, males think that mathematics is exciting and not difficult in comparison with what females think. And parents of mates are more concerned about children's learning than those of females.

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Improvement strategies of teaching methods for university basic mathematics education courses by ability grouping (대학 기초수학 교과목 수준별 학습지도 개선 방안)

  • Park, Joon-Sik;Pyo, Yong-Soo
    • Communications of Mathematical Education
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    • v.27 no.1
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    • pp.19-37
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    • 2013
  • In order to improve the problem-solving abilities and enhance the academic achievement of under achieving students for university basic mathematics, P-university has opened the basic mathematics and practice education courses. These education courses are operated as prerequisite subject of Calculus and we are progressing the class focused on presentation with variety learning materials by organizing level-based classes In this paper, we analyzed the acquired grade and the result of teaching assessment of 1,106 students registered in the 30 classes that the teaching portfolio of the basic mathematics and practice education courses were submitted to support 'Accreditation for Engineering Education of Korea'. In addition, we tried to find attention points and improved solutions on operating the level-based class of the basic mathematics and practice education courses based on the 'Continuous Quality Improvement Report' of teaching portfolio submitted by each professor who is in charge of this class.