• Title/Summary/Keyword: Math education

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Differences among Sciences and Mathematics Gifted Students: Multiple Intelligence, Self-regulated Learning Ability, and Personal Traits (과학·수학 영재의 다중지능, 자기조절학습능력 및 개인성향의 차이)

  • Park, Mijin;Seo, Hae-Ae;Kim, Donghwa;Kim, Jina;Nam, Jeonghee;Lee, Sangwon;Kim, Sujin
    • Journal of Gifted/Talented Education
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    • v.23 no.5
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    • pp.697-713
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    • 2013
  • The research aimed to investigate characteristics of middle school students enrolled in a science gifted education center affiliated with university in terms of multiple intelligence, self-regulated learning and personality traits. The 89 subjects in the study responded to questionnaires of multiple intelligence, self-regulated learning ability and a personality trait in October, 2011. It was found that both science and math gifted students presented intrapersonal intelligence as strength and logical-mathematical intelligence as weakness. While physics and earth science gifted ones showed spatial intelligence as strength, chemistry and biology gifted ones did intrapersonal intelligence. For self-regulated learning ability, both science and mathematics gifted students tend to show higher levels than general students, in particular, cognitive and motivation strategies comparatively higher than meta-cognition and environment condition strategies. Characteristics of personal traits widely distributed across science and mathematics gifted students, showing that each gifted student presented distinct characteristics individually. Those gifted students showing certain intelligence such as spatial, intrapersonal, or natural intelligences as strength also showed different characteristics of self-regulated learning ability and personal traits among students showing same intelligence as strength. It was concluded that science and mathematics gifted students showed various characteristics of multiple intelligences, self-regulated learning ability, and personal traits across science and mathematics areas.

Change in Solving Process According to Problem Type - Centered on Reaction toward Linear Equations of Seventh Grade Students - (문제 유형에 따른 풀이과정에서의 변화 - 중학교 1학년 학생들의 일차방정식에 대한 반응을 중심으로 -)

  • Seo, J.J.
    • Communications of Mathematical Education
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    • v.24 no.2
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    • pp.445-474
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    • 2010
  • The results of performing first survey after learning linear equation and second survey after 5 months to find out whether there is change in solving process while seventh grade students solve linear equations are as follows. First, as a result of performing McNemar Test in order to find out the correct answer ratio between first survey and second survey, it was shown as $p=.035^a$ in problem x+4=9 and $p=.012^a$ in problem $x+\frac{1}{4}=\frac{2}{3}$ of problem type A while being shown as $p=.012^a$ in problem x+3=8 and $p=.035^a$ in problem 5(x+2)=20 of problem type B. Second, while there were students not making errors in the second survey among students who made errors in the solving process of problem type A and B, students making errors in the second survey among the students who expressed the solving process correctly in the first survey were shown. Third, while there were students expressing the solving process of linear equation correctly for all problems (type A, type B and type C), there were students expressing several problems correctly and unable to do so for several problems. In conclusion, even if a student has expressed the solving process correctly on all problems, it would be difficult to foresee that the student is able to express properly in the solving process when another problem is given. According to the result of analyzing the reaction of students toward three problem types (type A, type B and type C), it is possible to determine whether a certain student is 'able' or 'unable' to express the solving process of linear equation by analyzing the problem solving process.

Comparative Study between Gifted Math Elementary Students and Non-Gifted Students in Emotional Intelligence and Creative Nature (초등수학영재와 일반학생의 정서지능과 창의적 성향 비교)

  • Lee, Eun Hee;Ryu, Sung Rim
    • School Mathematics
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    • v.16 no.1
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    • pp.181-199
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    • 2014
  • This study set out to analyze and compare gifted elementary students and non-gifted students in emotional intelligence and creative nature. To understand the characteristics of the former, and provide assistance for career education for both groups. For this purpose, the three following research questions were set: First, what kind of difference is there in emotional intelligence between gifted elementary students and non-gifted students? Second, what kind of difference is there in creative nature between gifted elementary students and non-gifted students? Third, what is the connection between emotional intelligence and creative nature in gifted elementary students and non-gifted students? For this study, 102 students from the gifted class and 132 students from non-gifted classes were selected. In total 234 questionnaires were distributed, and the results were analyzed. The results of this study were as follows. First, as a result of the independent sample T-test, there were noticeable differences in giftedness. Gifted students scored significantly higher than non-gifted students in creative nature. Second, as a result of the independent sample T-test, there were noticeable differences in the creative nature of gifted and non-gifted students. Gifted students scored significantly higher than non-gifted students in creative nature. Third, by analyzing the results found for emotional intelligence and creative nature with Pearson's product-moment correlation, there was a positive correlation between both emotional intelligence and creative nature in both groups of results.

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An Analysis of Interaction Patterns by Teacher's Role in Mathematics Classrooms (수학교실에서 교사의 역할에 따른 상호작용 패턴 분석)

  • Cho, Woo-Gi;Oh, Young-Youl
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.1
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    • pp.1-22
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    • 2010
  • The purpose of this study was to examine the relationship between teacher's role and interaction patterns in mathematics classrooms. Teacher's role was divided into usual practices with students, usual practices with content and usual practices with students and contents, and interaction patterns were classified into report, inquiry and discussion. The subjects in this study were teachers and students in three fourth- grade classes in T elementary school located in Seoul. After the classes of every math teacher were observed, three teachers who played distinctively unique roles were selected in accordance with the results of the first-semester autonomous supervision, of open class for parents and of the instructional observation. Thus, there was a close relationship between the teacher roles and interaction patterns. And it's concluded that students are able to have a more discussion on each other's ideas in the student-centered classroom, and that teachers should perform active roles in that process. Given the findings of the study, there are some suggestions: First, the teachers appeared to fulfill consistent roles when their videotaped classes, study aids and performance assessment materials were analyzed, and they should play more active roles in mathematics class. Second, they should try to create the kinds of climate that encourages students to come up with ideas in an active manner. Third, earlier studies had focused on student-teacher interaction patterns, but this study found that the roles of the teachers depended on interaction with not only students but study aids and performance assessment materials, and that the interaction patterns hinged on their roles as well. Therefore more profound research efforts should be directed into this issue.

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A Longitudinal Study on the Mathematical Contents Changed in 2015 National Revised Curriculum for Elementary School Mathematics (2015 개정 초등 수학과 교육과정의 변화 내용에 대한 종적 분석)

  • Chang, Hyewon
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.2
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    • pp.215-238
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    • 2016
  • The 2015 national revised curriculum was notified officially the last year. The intent and direction of the revision caused more or less change for mathematical contents to be taught and is expected to cause a considerable change in math class. In the level of elementary school mathematics, it turned that several contents were deleted or moved to the upper grades because the revision focused especially both on reducing students' burden of learning and on fostering the mathematical key competences. This study aims to examine the relevance of the change through investigation of the national curriculums for elementary school mathematics since 1946. The mathematical contents to be analyzed in this study were mixed calculation of natural numbers, mixed calculation of fractions and decimal fractions, position and direction of objects, are/hectare and ton, the range of numbers and estimating, surface and volume of cylinders, pattern and correspondence, and direct/inverse proportionality, which were changed in any aspect relative to 2009 national revised curriculum. Based on the results of these analyses, the discussion will provide some suggestions for setting the direction of elementary mathematics curriculum.

Examine the Features of Evidence Based Instruction in Elementary Mathematics Teacher's Guidebook For Students with Math Learning Disabilities and Students with Underachievement - Only about Number and Operations (초등 수학 교사용지도서의 학습장애 학생 및 학습부진학생을 위한 증거기반교수 요인 포함수준 분석 - 수와 연산 영역을 중심으로)

  • Kim, Byeong-Ryong
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.2
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    • pp.353-370
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    • 2016
  • This study examined elementary mathematics teacher's guidebook to determine the inclusion level of 11 critical features of evidence based instruction. And the inclusion level of the features in teacher's guidebook were interpreted as 'Low', 'Middle' and 'High'. The results are as followings. First, The overall inclusion level of the features in teacher's guidebook is 'Middle' The inclusion level of the features in teacher's guidebook for 1st, 2nd, 3rd and 4th were 'Middle' but for 5th and 6th were 'Low'. Second, the inclusion level of the features 'Clarity of Objective', 'Single Concepts and Skill Taught', 'Use of Manipulatives and Representation', 'Explicit Instruction', 'Provision of Examples for new concepts and skill', 'Adequate Independent Practice Opportunities' and 'Progress Monitoring' were 'Middle' The inclusion level of the features 'Review of Prerequisite Mathematical Skills', 'Error correction and Corrective Feedback' and 'Instruction of Strategies' were 'Low'. And discussed the results.

Comparative Analysis of Influential Factors on Computer-Based Mathematics Assessment between Korea and Singapore (우리나라와 싱가포르의 컴퓨터 기반 수학 평가 결과에 대한 영향 요인 비교 분석)

  • Rim, Haemee;Jung, Hyekyun
    • Journal of Educational Research in Mathematics
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    • v.27 no.2
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    • pp.157-170
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    • 2017
  • Mathematics was the main domain of PISA 2012, and both paper-based and computer-based assessment of mathematics (CBAM) were conducted. PISA 2012 was the first large-scale computer-based mathematics assessment in Korea, and it is meaningful in that it evaluated students' mathematical literacy in problem situations using dynamic geometry, graph, and spreadsheet. Although Korea ranked third in CBAM, the use of ICT in mathematics lessons appeared to be low. On the other hand, this study focused on Singapore, which ranked first in CBAM. The Singapore Ministry of Education developed online programs such as AlgeTools and AlgeDisc, and implemented the programs in classes by specifying them in mathematics curriculum and textbooks. Thus, this study investigated influential factors on computer-based assessment of mathematics by comparing the results of Korea and Singapore, and aimed to provide meaningful evidence on the direction of Korea's ICT-based mathematics education. The results showed that ICT use at home for school related tasks, attitudes towards computers as a tool for school learning, and openness and perseverance of problem solving were positively associated with computer-based mathematics performance, whereas the use of ICT in mathematics class by teacher demonstration was negatively related. Efforts are needed to improve computer use and enhance teaching techniques related to ICT use in Korean math classes. Future research is recommended to examine how effectively teachers use ICT in mathematics class in Singapore.

The Study on the Investigation of the Evaluation Standards for Mathematics Teaching Focused on Teacher's Knowledge (수학 수업에서 요구되는 교사 지식에 대한 평가 기준 재탐색)

  • Hwang, Hye-Jeang
    • Communications of Mathematical Education
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    • v.26 no.1
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    • pp.109-135
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    • 2012
  • On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out the following research such as : 1) development of the standards on teaching evaluation between 2004 and 2006, and 2) investigation on the elements of Teacher Knowledge. The purposes of development of evaluation standards for mathematics teaching through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those studies focused on the knowledge of subject matter knowledge, knowledge of learners' understanding, teaching and learning methods and assessments, and teaching contexts. For this purpose, the part of subject matter knowledge was consisted of four evaluation domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value. The part of Learners' unders tanding included the evaluation domains such as students' intellectual and achievement level, students' misconception in math, students' motivation on learning, students' attitude on mathematics learning, and students' learning strategies. The part of teaching methods and evaluation was consisted of seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. Also, the part of teaching context was consisted of four evaluation domains such as application of instructional tools and materials, commercial manipulatives, environment of classroom including distribution and control of class group, atmosphere of classroom, management of teaching contexts including management of student. According to those evaluation domains of each teacher knowledge, elements on teaching evaluation focused on the teacher's knowledge were established using the instructional evaluation framework, which is developed in this study, including the four areas of obtaining, planning, acting, and reflecting.

A Case analysis on the treatment of mathematics anxiety utilizing a program to change students' thought of mathematics ('생각 바꾸기 프로그램'을 적용한 수학불안 치유 사례분석)

  • Park, Hae Soung;Cho, Wan Young
    • Communications of Mathematical Education
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    • v.31 no.1
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    • pp.17-48
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    • 2017
  • This case study examined mathematics anxiety of a public high school sophomore who was unable to perform well in mathematics but later overcame his fear of mathematics. In this study, he showed high levels of mathematics anxiety in the assessment tools that evaluate mathematical anxiety factors. Cognitive and behavior treatments were carried out to alleviate his anxiety. First, cognitive treatments that were implemented include: understanding his own problems, writing down his thoughts on a record sheet, and changing intermediate and core beliefs. This paper explored cognitive and affective changes and reactions during the treatment process. Second, behavioral treatments that were conducted include: the divided-page method and peer tutoring. The divided-page technique involves the test subject to write down and solve his problems on a note to see what kind of cognitive and affective changes occur during the process. This paper also explored how Su-chul, an overly competitive student, changed and reacted cognitively and affectively through peer tutoring. The results revealed that Su-chul's exam anxiety, as well as other factors, has decreased. Moreover, he regained his self-confidence by solving math problems that he had felt difficult. His competitive attitude also has turned into a cooperative and thoughtful one.

Application and Development of Convergence Program for Congruence and Symmetry Teaching (합동과 대칭의 지도를 위한 융합 프로그램 개발 및 적용)

  • Lee, Ji Hae;Sihn, Hang Gyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.3
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    • pp.267-282
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    • 2018
  • The purpose of this study is to develop and apply a Convergence program for teaching of congruence and symmetry and to investigate the effects of the mathematical creativity and convergence talent. For these purposes, research questions were set up as follows: 1. How is a Convergence program for teaching of congruence and symmetry developed? 2. How does a Convergence program affect the mathematics creativity and convergence talent of fifth grade student in elementary school? The subjects in this study were 16 students in fifth-grade class in elementary school located in Songpa-gu, Seoul. A Convergence program was developed using the integrated unit design process chose the concept of congruence and symmetryas its topic. The developed program consisted of a total 12 class activities plan, lesson plans for 5 activities. Mathematics creativity test, a test on affective domain related with convergence talent measurement were carried out before and after the application of the developed program so as to analyze the its effects. In addition, students' satisfaction for the developed program was investigated by a questionnaire. The results of this study were as follows: First, A convergence program should be developed using the integrated unit design process to avoid focusing on the content of any one subject area. The program for teaching of congruence and symmetry should be considered students' learning style and their preferences for media. Second, the convergence program improved the students' mathematical creativity and convergence talent. Among the sub-factors of mathematical creativity, originality was especially improved by this program. Students thought that the program is good for their creativity. Plus, this program use two subject class, Math and Art, so student do not think about one subject but focus on topic 'congruence and symmetry'. It help students to develop their convergence talent.

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