• Title/Summary/Keyword: university math education

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Effect of Kinetic Degrees of Freedom of the Fingers on the Task Performance during Force Production and Release: Archery Shooting-like Action

  • Kim, Kitae;Xu, Dayuan;Park, Jaebum
    • Korean Journal of Applied Biomechanics
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    • v.27 no.2
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    • pp.117-124
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    • 2017
  • Objective: The purpose of this study was to examine the effect of changes in degrees of freedom of the fingers (i.e., the number of the fingers involved in tasks) on the task performance during force production and releasing task. Method: Eight right-handed young men (age: $29.63{\pm}3.02yr$, height: $1.73{\pm}0.04m$, weight: $70.25{\pm}9.05kg$) participated in this study. The subjects were required to press the transducers with three combinations of fingers, including the index-middle (IM), index-middle-ring (IMR), and index-middle-ring-little (IMRL). During the trials, they were instructed to maintain a steady-state level of both normal and tangential forces within the first 5 sec. After the first 5 sec, the subjects were instructed to release the fingers on the transducers as quickly as possible at a self-selected manner within the next 5 sec, resulting in zero force at the end. Customized MATLAB codes (MathWorks Inc., Natick, MA, USA) were written for data analysis. The following variables were quantified: 1) finger force sharing pattern, 2) root mean square error (RMSE) of force to the target force in three axes at the aiming phase, 3) the time duration of the release phase (release time), and 4) the accuracy and precision indexes of the virtual firing position. Results: The RMSE was decreased with the number of fingers increased in both normal and tangential forces at the steady-state phase. The precision index was smaller (more precise) in the IMR condition than in the IM condition, while no significant difference in the accuracy index was observed between the conditions. In addition, no significant difference in release time was found between the conditions. Conclusion: The study provides evidence that the increased number of fingers resulted in better error compensation at the aiming phase and performed a more constant shooting (i.e., smaller precision index). However, the increased number of fingers did not affect the release time, which may influence the consistency of terminal performance. Thus, the number of fingers led to positive results for the current task.

The Analysis of Relationship between Error Types of Word Problems and Problem Solving Process in Algebra (대수 문장제의 오류 유형과 문제 해결의 관련성 분석)

  • Kim, Jin-Ho;Kim, Kyung-Mi;Kwean, Hyuk-Jin
    • Communications of Mathematical Education
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    • v.23 no.3
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    • pp.599-624
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    • 2009
  • The purpose of this study was to investigate the relationship between error types and Polya's problem solving process. For doing this, we selected 106 sophomore students in a middle school and gave them algebra word problem test. With this test, we analyzed the students' error types in solving algebra word problems. First, We analyzed students' errors in solving algebra word problems into the following six error types. The result showed that the rate of student's errors in each type is as follows: "misinterpreted language"(39.7%), "distorted theorem or solution"(38.2%), "technical error"(11.8%), "unverified solution"(7.4%), "misused data"(2.9%) and "logically invalid inference"(0%). Therefore, we found that the most of student's errors occur in "misinterpreted language" and "distorted theorem or solution" types. According to the analysis of the relationship between students' error types and Polya's problem-solving process, we found that students who made errors of "misinterpreted language" and "distorted theorem or solution" types had some problems in the stage of "understanding", "planning" and "looking back". Also those who made errors of "unverified solution" type showed some problems in "planing" and "looking back" steps. Finally, errors of "misused data" and "technical error" types were related in "carrying out" and "looking back" steps, respectively.

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Analyzing Research Trend of Affective Aspects in Mathematics in Korea (수학 학습에서의 정의적 영역에 관한 국내 연구 동향 분석)

  • Cho, Hye Jung;Kim, In Su
    • Communications of Mathematical Education
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    • v.30 no.1
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    • pp.67-83
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    • 2016
  • Correcting an imbalance between cognitive and affective aspects of mathematics in schools is recognized as a crucial issue with regards to mathematics education in Korea. Therefore, research and studies about affective aspects have been increasing and themes relating to affective aspects were diverse. Their theme included the improvement of affective aspect, investigation of factors of affective aspect, and development of measurement tools for affective aspect. The purpose of this study is to analyze and organize the research that has been done with respect to affective aspect and drive trend, implication, and their instruction to mathematics education. This study has investigated 103 studies released from 2005 to 2015 on KCI, Korea Citation Index. The results of this study are as follow. First, since released research of affective aspects in mathematics has not increased in number in the last 11 years, academic interest in the affective aspects seems lower than recent interest arousing in Korea. Second, most studies utilized quantitative research as a tool to analyze phenomena and the cause and effect of affective aspects. Third, middle school students were the most common subjects of the studies, followed by elementary school students. Fourth, the studies had various themes such as analyzing the cause and effect of affective aspect, recognizing changes of affective aspects, and measuring affective aspects. The studies, especially, focused most on analyzing how to improve affective aspects by applying it to programs such as mathematic activities and solving mathematic problems. It is necessary for future research to have a long-term perspective and to provide a space for communication. Research should not only focus on how recognize affective aspects differently, which is based on its cultural background, but also to draw affective solutions from them.

The improvement plan of course education and the recognition about the course&vocation of General high school student (일반계 고등학생의 진로 및 직업에 대한 인식과 진로교육 개선방안)

  • Lim, Byeong-Ung
    • 대한공업교육학회지
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    • v.34 no.1
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    • pp.171-195
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    • 2009
  • The purpose of this study is 1) to survey to identify how high school students think about career guidance and job and 2) to pursue effective career guidance. According to the survey result, first, most students have thought about their career. They chose friends as a counselor for their future. Among respondents, 39.84% of them said they did not consult with teachers. They said academic record is a stumbling block in choosing career. Second, many students responded career guidance should start at 'Junior High school'. 76.56% of respondents said they were lack of career guidance resources. With respect to career, an important subject was shown as the following order: social study, English, Korean, Science and Math. Third, students recognized the face that aptitude and ability should be the utmost important factors in choosing career. They chose mass media as a main source to gain information relative to career, which accounted for 52.34% and 20.31% for teachers. In the case of students who have rather 'poor'home background, teachers were the main sources for career information, whose proportion was relatively high. Forth, parents were the most influential people who helped students choose which high school to go(40.69%). In terms of scope of higher education, 65.63% said they wanted to graduate university. Students who has good academic records and good home environment wanted to pursue Master's or Doctor's degrees. 70.31% of respondents said they attended a high school just because they wanted to have a desired job.

Comparative study of policy and elementary school mathematics learning program for mathematics underachievers in Korea and the United States: Focused on the Seattle Public Schools and Chuncheon Office of Education (우리나라와 미국의 초등학교 수학학습부진아 정책 및 지도 프로그램 비교 분석: 춘천시 교육청과 시애틀 교육청을 중심으로)

  • Ko, Junghwa
    • Journal of the Korean School Mathematics Society
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    • v.20 no.1
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    • pp.57-76
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    • 2017
  • Since the 1990s, Korea has been developing various policies and materials for the improvement of basic learning abilities. In this study, the cases of policies for underachievers in Korea and the US were compared and analyzed the programs for mathematics underachievers in elementary school with Chuncheon office of education and Seattle public schools. All of them started from the point of relief of underachievers, but they differed in the process of operating them specifically. This study suggests the followings. First, active utilization of vacation programs to solve problems such as low-income meal service, prevention of stigma effects, securing teacher's instruction time, teacher-instructor cooperation. Second, the necessity of detailed activity-centered textbooks that underachievers can explore with interest in mathematics learning and easy to use by teachers. Third, specific cooperation for inducing interest of their own children's learning and forming close ties between parents and teachers. Fourth, program analysis by a professional evaluation group to improve the quality of underachiever program.

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An Analysis on the Pedagogical Content Knowledge of Natural number Concepts for Korean Elementary School Teachers (초등 교사의 자연수 개념에 대한 교수학적 내용지식 분석)

  • Lee, Myeong-Hui;Whang, Woo-Hyung
    • Communications of Mathematical Education
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    • v.25 no.4
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    • pp.693-734
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    • 2011
  • The purpose of this research is to analyze the pedagogical content knowledge on the natural number concepts of Korean Elementary School Teachers. Shulman(1986b) had developed a tool in order to understand teachers' knowledge, as he defined three types of knowledge in teaching ; Subject Matter Knowledge, Curricular Knowledge, and Pedagogical Content Knowledge. Pang(2002) defined two types of elements including in the ways of teaching ; individual element, and sociocultural element. Two research questions are addressed; (1) What is the pedagogical content knowledge of Natural number Concepts for Korean Elementary School Teachers? ; (2) What factors are included in the pedagogical content knowledge of Natural number Concepts for Korean Elementary School Teachers? Findings reveal that (1) the Korean Elementary School Teachers had three types of the pedagogical content knowledge on the natural number concepts; (2) Teacher Factors were more included than Social-Cultural Factors in the pedagogical content knowledge on the natural number concepts of the Korean Elementary School Teachers. Further suggestions were made for future researches to include (1) a comparative study on teachers between ordinary teachers and those who majored mathematics education in the graduate school. (2) an analysis on the classroom activities about the natural number concepts.

Teachers' conceptual errors related to the definitions in the area of geometry of elementary school mathematics (초등수학 도형영역에 제시된 정의에 관한 교사의 인식과 오류)

  • Choi, Keun-Bae;Oh, Suk-Kyoung
    • The Mathematical Education
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    • v.47 no.2
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    • pp.197-219
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    • 2008
  • Unlike ordinary situations, deifinitions play a very important role in mathematics education in schools. Mathematical concepts have been mainly acquired by given definitions. However, according to didactical intentions, mathematics education in schools has employed mathematical concepts and definitions with less strict forms than those in pure mathematics. This research mainly discusses definitions used in geometry (promising) course in primary schools to cope with possibilities of creating misconception due to this didactical transformation. After analyzing problems with potential misconceptions, a survey was conducted $\underline{with}$ 80 primary school teachers in Jeju to investigate their recognitions in meaning of mathematical concepts in geometry and attitudes toward teaching. Most of the respondents answered they taught their students while they knew well about mathematical definitions in geometry but the respondents sometimes confused mathematical concepts of polygons and circles. Also, they were aware of problems in current mathematics textbooks which have explained figures in small topics (classes). Here, several suggestions are proposed as follows from analyzing teachers' recognitions and researches in mathematical viewpoints of definitions (promising) in geometric figures which have been adopted by current mathematics textbooks in primary schools from the seventh educational curriculum. First, when primary school students in their detailed operational stage studying figures, they tend to experience $\underline{a}$ collision between concept images acquired from activities to find out promising and concept images formed through promising. Therefore, a teaching method is required to lessen possibility of misconceptions. That is, there should be a communication method between defining conceptual definitions and Images. Second, we need to consider how geometric figures and their elements in primary school textbooks are connected with fundamental terminologies laying the foundation for geometrical definitions and more logical approaches should be adopted. Third, the consistency with studying geometric figures should be considered. Fourth, sorting activities about problems in coined words related to figures and way and time of their introductions should be emphasized. In primary schools mathematics curriculum, geometry has played a crucial role in increasing mathematical ways of thoughts. Hence, being introduced by parts from viewpoints of relational understanding should be emphasized more in textbooks and teachers should teach students after restructuring this. Mathematics teachers should help their students not only learn conceptual definitions of geometric figures in their courses well but also advance to rigid mathematical definitions. Therefore, that's why mathematics teachers should know meanings of concepts clearly and accurately.

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An Analysis of Korean Language Learners' Understanding According to the Types of Terms in School Mathematics (수학과 용어 유형에 따른 한국어학습자의 이해 분석)

  • Do, Joowon;Chang, Hyewon
    • Communications of Mathematical Education
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    • v.36 no.3
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    • pp.335-353
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    • 2022
  • The purpose of this study is to identify the characteristics and types of errors in the conceptual image of Korean language learners according to the types of terms in mathematics that are the basis for solving mathematical word problems, and to prepare basic data for effective teaching and learning methods in solving the word problems of Korean language learners. To do this, a case study was conducted targeting four Korean language learners to analyze the specific conceptual images of terms registered in curriculum and terms that were not registered in curriculum but used in textbooks. As a result of this study, first, it is necessary to guide Korean language learners by using sufficient visualization material so that they can form appropriate conceptual definitions for terms in school mathematics. Second, it is necessary to understand the specific relationship between the language used in the home of Korean language learners and the conceptual image of terms in school mathematics. Third, it is necessary to pay attention to the passive term, which has difficulty in understanding the meaning rather than the active term. Fourth, even for Korean language learners who do not have difficulties in daily communication, it is necessary to instruct them on everyday language that are not registered in the curriculum but used in math textbooks. Fifth, terms in school mathematics should be taught in consideration of the types of errors that reflect the linguistic characteristics of Korean language learners shown in the explanation of terms. This recognition is expected to be helpful in teaching word problem solving for Korean language learners with different linguistic backgrounds.

IA Relation between Social Status Type and Academic Achievement in the Upper Grade Students of the Elementary School (초등학교 고학년 학생의 사회적지위 유형과 학업성취도간의 관계)

  • Ahn, Ie-Hwan;Lee, Chang-Wo
    • The Korean Journal of Elementary Counseling
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    • v.11 no.1
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    • pp.21-33
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    • 2012
  • This study examined the differences of academic achievement by social status types through sociometry. This study analyzed 201 students in grade 6 in S elementary school. The social status is classified by 7 (popular, average, rejected, aggressive-rejected, submissive-rejected, neglected, controversial) with academic achievement of each type as dependent variables to figure out the relation between social status types and academic achievement. To classify 5 social status types, a sociometry program developed by Ahn, Ie-Hwan (2007) was used, 2 social status types was classified with experimental condition, and its dependent variable was the score by subjects in the mid-term exam of the 1st semester in 2011. The average values of humanities courses (Korean and social studies) and natural science courses (math and science) were compared by both sexes and 7 social status types. The reference group was average group. As a result, as to male students, N type had the highest score both in humanities courses and natural science courses while C type had the lowest score in both groups. As to female students, P, N, C types had the highest score in both groups with similar range while R type had the lowest score in both groups. This result demonstrates that the academic achievement of students had relatively high relevance with social status. and also, suggestion that how teachers can do to enhance the academic achievement of elementary school students.

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Longitudinal Study on the Relationship and Effects of Internal and External Factors on Mathematics Academic Achievement -For Middle and High School Students- (수학 학업성취도에 대한 내·외적요인의 관계 및 영향에 대한 종단연구 -중·고등학생을 대상으로-)

  • Kim, Yongseok;Han, Sunyoung
    • Communications of Mathematical Education
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    • v.34 no.3
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    • pp.325-354
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    • 2020
  • This study utilized longitudinal data from the 2013 year (Secondary Middle School) to 2017 year (Secondary High School) of the Seoul Education Termination Study. Using the latent growth model and the piecewise growth model, we investigated the changes in mathematics academic achievement, internal factors(self-concept, self-control, self-assessment of life satisfaction), and external factors(school climate, guardians) as students' grades increased, and examined whether internal factors and external factors influence the changes in mathematics academic achievement. We examined whether internal and external factors influence the change in academic achievement. As a result of analysis, it was found that mathematics academic achievement remained unchanged from the first grade of middle school to the second grade of middle school, and steadily increased from the second grade of middle school to the first grade of high school, and then decreased slightly in the second grade of high school. The internal and external factors had little change. It has been found that self-concept, self-control as internal factors, and school climate as external factors influence changes in mathematics academic achievement.