• Title/Summary/Keyword: analyzing mathematics

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Error Analysis of 6th Grade Elementary Students in Problem Solving in the Measurement Domain (측정 영역의 문제해결 과정에서 나타나는 초등학교 6학년 학생의 오류 분석)

  • Kim, Seong-Kyeong
    • Journal of Science Education
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    • v.41 no.3
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    • pp.480-498
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    • 2017
  • This study analyzed the errors of 6th graders of elementary school in problem solving process of the measurement domain. By analyzing the errors that students make in solving difficult problems, this study tried to draw implications for teaching and learning that can help students reach their achievement standards. First, though the students were given enough time to deal with problems, the fact that about 30~60% of students, based upon the problems given, can't solve them show that they are struggling with a part of measurement domain. Second, it was confirmed that students' understanding of the unit of measurement, such as relationship between units, was low. Third, the students have a low understanding in terms of the fact that once the base is set in a triangle then the height can be set accordingly and from which multiple expressions, in obtaining the area of the triangle, can be driven.

Exploratory study on the relationship between supply chain performance and ICT capabilities (공급사슬성과와 정보기술역량 간의 관계에 관한 탐색적 분석)

  • Oh, Soojung;Oh, Kwangsik
    • Journal of the Korean Data and Information Science Society
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    • v.25 no.4
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    • pp.755-767
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    • 2014
  • Recently, many firms have introduced information and communication technology (ICT) into supply chain. However, existing studies have not yet insisted definite conclusion with respect to ICT impact on supply chain. Thus, this study subdivides supply chain performance which previous researchers have studied comprehensively while suggesting perspective of the use of firm's ICT capabilities. We classify ICT capabilities into four types of group and then analyze the difference between groups regarding each factor of supply chain performance by ANOVA analysis and Tukey method. As a result of analysis, the group in which all ICT capabilities are high shows the highest level of integration and flexibility performance among supply chain performances. On the other hand, the group in which all ICT capabilities are low presents the lowest level of integration and flexibility performance. We also provide more precise and specific information with practitioners by analyzing the difference between groups with regard to detailed measurements on integration and flexibility variables.

An Analysis of Informal Concepts of Average Found in Fifth and Sixth Graders (5, 6학년 학생들의 대표값에 대한 비형식적 개념 분석)

  • Lee Chun-Jae;Jeon Pyung-Kook
    • The Mathematical Education
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    • v.45 no.3 s.114
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    • pp.319-343
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    • 2006
  • The purpose of this study is to investigate how fifth and sixth graders recognize average and to find out suggestions for teaching/learning methods of average by examining which difference there is depending on the way of the word problem presentation. For the this purpose, was conducted experiment study with the way of the world problem presentation set up as experimental treatment. The conclusions drawn from the results obtained in the this study were as follows : First, since students who did not learn the regular course of average had various informal concepts already, it is needed to consider handling more various concepts of average in order to enable students to expand flexible thoughts. Second, compared with fifth and sixth graders showed a wide difference in informal concepts of average depending on the way of the word problem presentation. In expect data with given average, concepts of mean as algorithm, balance point, and mode indicated similar percentage, while in estimate average with given data, the percentage of students who showed the concept of mean was very high at 67.6%. That may be because problems related to mean in the current textbooks are items of 'estimate average with given data', so in types of 'estimate average with given data', students solve questions with mean as algorithm without considering situations of problems. This result suggests that it is necessary to diversify the way of the word problem presentation even in textbooks. Third, as a result of analyzing informal concepts of average, there was significant difference in grades. In addition, the results suggested that there would be difference in the concepts of average depending on gender or attributes of discrete quantity and continuous quantity.

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Redesigning of STEAM Learning/Teaching Program for Robot (로봇 STEAM 교수학습 프로그램 제안)

  • Park, HyunJu;Baek, Yoon Su
    • Journal of Engineering Education Research
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    • v.18 no.6
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    • pp.3-10
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    • 2015
  • The purpose of this study was to analyze STEAM learning/teaching program that relates robots and to develop and redesign STEAM teaching/learning program with a robot for elementary and secondary schools. 'Learning with a robot' is considered as one of the best candidates for STEAM education. This article mainly concerns a robot that can be helpful to improve students' interests in learning science and mathematics in schools. As the results of the STEAM learning/teaching program analyzing, the program for elementary schools contained more contents of liberal arts and fine arts, and the program for secondary schools contained more contents of science, technology, and math. In the middle school program, context for learning, class activities of creative design and emotional touch, evaluation, and job and career information were evenly implemented. In the elementary and high school program, there were few information about robotics career. We extracted all robot utilizable subjects and units from school curriculums, and redesigned contents which can be applicable to regular classes for schools. As the result of this study, we conclude that 'learning with a robot' can encourage students' interests in STEM area.

A Study of Students' Perception and Expression on the Constant of Distance Function in the Relationship between Distance Function and Speed Function (거리함수와 속력함수의 관계에서 거리함수의 상수항에 대한 학생들의 인식과 표현)

  • Lee, Dong Gun
    • The Mathematical Education
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    • v.56 no.4
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    • pp.387-405
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    • 2017
  • The purpose of this study is to investigate the change of students 'perception and expression about the motion of object following distance function $={x \atop 3}$ and distance function $y=\frac{x^3}{3}+3$ according to the necessity of research on students' perception and expression about integral constant. In this paper, we present the recognition and the expression of the difference of the constant in the relationship between the distance function and the speed function of the students, while examining the process of constructing the speed function and the inverse process of the distance function. This provides implications for the relationship between the derivative and the indefinite integral corresponding to the inverse process. In particular, in a teaching experiment, a constructive activity was performed to analyze the motion of two distance functions, where the student had a difference of the constant term. At this time, the students used the expression 'starting point' for the constants in the distance function, and the motion was interpreted by using the meaning. This can be seen as a unique 'students' mathematics' in the process of analyzing the motion of objects. These scenes, in introducing the notion of the relation between differential and indefinite integral, it is beyond the comprehension of the integral constant as a computational procedure, so that the learner can understand the meaning of the integral constant in relation to the motion of the object. It is expected that it will be a meaningful basic research on the relationship between differential and integral.

The cognitive load of middle school students according to problem types in collaborative learning for solving the function problems (함수 영역 문제해결 협력학습 과정에서 문제 유형에 따른 중학생의 인지부하 분석)

  • Kim, Seong-Kyeong;Kim, Ji Youn;Lee, Sun Ji;Lee, Bongju
    • The Mathematical Education
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    • v.57 no.2
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    • pp.137-155
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    • 2018
  • From the assumption that an individual's working memory capacity is limited, the cognitive load theory is concerned with providing adequate instructional design so as to avoid overloading the learner's working memory. Based on the cognitive load theory, this study aimed to provide implications for effective problem-based collaborative teaching and learning design by analyzing the level of middle school students' cognitive load which is perceived according to the problem types(short answer type, narrative type, project) in the process of collaborative problem solving in middle school function part. To do this, this study analyzed whether there is a relevant difference in the level of cognitive load for the problem type according to the math achievement level and gender in the process of cooperative problem solving. As a result, there was a relevant difference in the task burden and task difficulty perceived according to the types of problems in both first and second graders in middle schools students. and there was no significant difference in the cognitive effort. In addition, the efficacy of task performance differed between first and second graders. The significance of this study is as follows: in the process of collaborative problem solving learning, which is most frequently used in school classrooms, it examined students' cognitive load according to problem types in various aspects of grade, achievement level, and gender.

The Analysis on Mathematically Gifted Students' Activities Constructing Definition of a Regular Polyhedron (수학영재 학생들의 정다면체 정의 구성 활동 분석)

  • Ko, Eun-Sung;Lee, Kyung-Hwa;Song, Sang-Hun
    • Journal of Gifted/Talented Education
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    • v.18 no.1
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    • pp.53-77
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    • 2008
  • This study was conducted with the focus on the process of constructing 3 definition and produced definitions as well as gifted students' conceptions of a mathematical definition In the study, the students made five types of regular polyhedrons (section1), observed them and stated their characteristics (section2) and then constructed a definition of regular polyhedrons based on their observations (section3). We divided students into two groups by analyzing students' definitions. One group made definitions that were consist with a mathematical definition of regular polyhedrons, the other one made definitions that were not. We checked if they fulfilled requirements for a mathematical definition. Researchers sought to gain various suggestions through the analysis of the observations and definition laid down by the students and through the characteristics shown by the students in the process of defining the concept.

Hierarchically penalized support vector machine for the classication of imbalanced data with grouped variables (그룹변수를 포함하는 불균형 자료의 분류분석을 위한 서포트 벡터 머신)

  • Kim, Eunkyung;Jhun, Myoungshic;Bang, Sungwan
    • The Korean Journal of Applied Statistics
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    • v.29 no.5
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    • pp.961-975
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    • 2016
  • The hierarchically penalized support vector machine (H-SVM) has been developed to perform simultaneous classification and input variable selection when input variables are naturally grouped or generated by factors. However, the H-SVM may suffer from estimation inefficiency because it applies the same amount of shrinkage to each variable without assessing its relative importance. In addition, when analyzing imbalanced data with uneven class sizes, the classification accuracy of the H-SVM may drop significantly in predicting minority class because its classifiers are undesirably biased toward the majority class. To remedy such problems, we propose the weighted adaptive H-SVM (WAH-SVM) method, which uses a adaptive tuning parameters to improve the performance of variable selection and the weights to differentiate the misclassification of data points between classes. Numerical results are presented to demonstrate the competitive performance of the proposed WAH-SVM over existing SVM methods.

Algebraic Problem Solving of the High School Students : An Analysis of Strategies and Errors (고등학교(高等學校) 학생(學生)의 대수(代數) 문제(問題) 해결(解決) : 전략(戰略)과 오류(誤謬) 분석(分析))

  • Lee, Sang-Won;Jeon, Pyung-Kook
    • Communications of Mathematical Education
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    • v.2
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    • pp.181-191
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    • 1997
  • The purpose of this study is to provide the primary sources to improve the problem solving performance by analyzing the errors and the strategies selection of the high school students when solving given algebraic problems. To attain the purpose of this study, the questions for investigation in this study are : 1. What are the differences / similarities in the patterns of errors committed by successful and unsuccessful problem-solvers when solving particular algebraic problems ? 2. What are the error types chosen by unsuccessful problem-solvers when solving particular algebraic problems? 3. Do students utilize checking, either locally or globally, when solving particular algebraic problems? Twenty students were drawn out of 10th grade students in J girls' high school in Yengi -gun, Chung-Nam, for this study. The problem-solving test was used as a test instrument. From the data, the verbal protocols and the written protocols were analyzed by the patterns. The conclusions drawn from the results obtained in the present study are as follows: First, in solving particular algebraic problems, when the problems were solved with one strategy, most students didn't give any consideration to other strategies. So mathematics teachers should teach them to use the various strategies, and should develop the problems to be used the various strategies. Second, in solving particular algebraic problems, errors on notions or transformations of equations were found. Thus, the basic knowledges related to equation should be taught. In addition, most unsuccessful students seleted the strategies inadequately to solve the problems because of misunderstanding the problems. So, to improve the problem solving performance the processes of 'understanding problem' should be emphasized to students. Third, although the unsuccesful students used the 'checking' processes when solving the problems, most of them did not find the errors because of misconceptions related to the problems, carelessness, and unskillfulness of checking. Thus, students must be taught more carefully and encouraged to use the checking.

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The Formation and Curriculum Development of Geomatics/Geoinformatics (지오매틱스/지오인포매틱스의 형성과 교과과정 개발연구)

  • 고준환
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.16 no.2
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    • pp.259-270
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    • 1998
  • The purpose of this study is to develop the model curriculum for Geomatics/Geoinformatics. Geomatics/Geoinformatics are emerging discipline for spatial data acquisition and processing. They have multidisciplinary characteristics which include surveying, computer sciences, spatial data processing-related disciplines. This study carried out with the in-depth study to the related department's the academic characteristics and curriculums. Generally, the curriculum consists of surveying and information technology. They basically require mathematics, physics as prerequisites. The related-departments belong to the engineering or science part. So, We can conclude that the academic characteristics have to belong In engineering sides. Modern disciplines usually require balanced knowledge, and Geomatics/Geoinformatics have to the multidisciplinary approaches. This study shows 1) the model curriculum of Geomatics/Geoinformatics for the 21st century by analyzing the related departments' curriculum, it consist of surveying, computer/information sciences, sustainable urban management and related laws, etc., 2) the needs of the good cooperation among the related disciplines and industry for the development of standardized texts and curriculums, 3) the needs of new certification for Geomatics/Geoinformatics, etc.

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