• Title/Summary/Keyword: Basic Mathematics Ability

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A USEFULNESS OF KEDI-INDIVIDUAL BASIC LEARNING SKILLS TEST AS A DIAGNOSTIC TOOL OF LEARNING DISORDERS (학습 장애아 진단 도구로 기초 학습 기능 검사의 유용성에 관한 연구)

  • Kim, Ji-Hae;Lee, Myoung-Ju;Hong, Sung-Do;Kim, Seung-Tai
    • Journal of the Korean Academy of Child and Adolescent Psychiatry
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    • v.8 no.1
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    • pp.101-112
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    • 1997
  • The purpose of this study was to examine usefulness of KEDI-Individual Basic Learning Skills Test as a diagnostic tool of learning disorders(LD). Learning disorder group consisted of two subgroups, verbal learning disorder group(VLD, n=34) and nonverbal learning disorder group(NVLD, n=14). Comparison group consisted of Dysthymia Disorder subgroup(n=11) and Normal subgroup(n=20). Performance of intelligence test and achievement test was examined in all 4 subgroups. In KEDI-WISC, VLD subgroup revealed primary problems in vocabulary, information and verbal-auditory attention test. NVLD group revealed primary problems in almost all performance tests such as visual acuity, psycho-motor coordination speed and visual-spatial organizations ability subtest. In KEDI-Individual Basic Learning Test, VLD group revealed primary problems in phonological coding process, word recognition and mathematics. For successful classification of LD children, the importance of achievement test and intelligence test was discussed by discriminant analysis and factor analysis. The results indicate that KEDI-Individual Basic Learning Skills is of considerable usefulness in diagnosing LD, but must be used in subtests, and additional tests must be conducted for thorough exploration of LD.

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Application of Long-term Slow Thinking(Flow) to Improve Mathematical Thinking Ability in the Process of Solving a Basic Calculus Problem (미적분 문제해결 과정에서 수학적 사고력 향상을 위한 몰입적 사고의 적용)

  • Lee, Dong-Kwon;ChoiKoh, Sang-Sook;Hwang, Nong-Moon
    • Journal of the Korean School Mathematics Society
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    • v.11 no.1
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    • pp.31-54
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    • 2008
  • The discovery method is known to be the most effective in improving students' mathematical thinking. Recently, the long-term slow thinking(LST) is suggested as a possible method to implement the discovery method into the real classroom. In this concept, we examined whether students can solve such a problem, as appears to be beyond their ability, by themselves(LST) or not. 10 middle school students of the ninth grade were selected for the study, who had no previous experience on the infinite concept of calculus of the high school course. They had tried to solve a problem about the calculus by their LST for three days. Two of students solved the problem by themselves and seven of students solved it with help of hints. This result shows that if students are given the opportunity of LST for rather difficult mathematical problem with appropriate guidance of a teacher, they might solve it by themselves. That is, LST could be a possible method for implementation of the discovery method.

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A Study of Secondary Mathematics Materials at a Gifted Education Center in Science Attached to a University Using Network Text Analysis (네트워크 텍스트 분석을 활용한 대학부설 과학영재교육원의 중등수학 강의교재 분석)

  • Kim, Sungyeun;Lee, Seonyoung;Shin, Jongho;Choi, Won
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.465-489
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    • 2015
  • The purpose of this study is to suggest implications for the development and revision of future teaching materials for mathematically gifted students by using network text analysis of secondary mathematics materials. Subjects of the analysis were learning goals of 110 teaching materials in a gifted education center in science attached to a university from 2002 to 2014. In analysing the frequency of the texts that appeared in the learning goals, key words were selected. A co-occurrence matrix of the key words was established, and a basic information of network, centrality, centralization, component, and k-core were deducted. For the analysis, KrKwic, KrTitle, and NetMiner4.0 programs were used, respectively. The results of this study were as follows. First, there was a pivot of the network formed with core hubs including 'diversity', 'understanding' 'concept' 'method', 'application', 'connection' 'problem solving', 'basic', 'real life', and 'thinking ability' in the whole network from 2002 to 2014. In addition, knowledge aspects were well reflected in teaching materials based on the centralization analysis. Second, network text analysis based on the three periods of the Mater Plan for the promotion of gifted education was conducted. As a result, a network was built up with 'understanding', and there were strong ties among 'question', 'answer', and 'problem solving' regardless of the periods. On the contrary, the centrality analysis showed that 'communication', 'discovery', and 'proof' only appeared in the first, second, and third period of Master Plan, respectively. Therefore, the results of this study suggest that affective aspects and activities with high cognitive process should be accompanied, and learning goals' mannerism and ahistoricism be prevented in developing and revising teaching materials.

A case study on the mathematical problem solving performance of simultaneous equations for the students from a remedial course (특별보충과정 학생들의 문제해결수행에 대한 사례연구)

  • Ko, Sang-Sook;Lee, Sang-Hui
    • Journal of the Korean School Mathematics Society
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    • v.9 no.1
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    • pp.105-120
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    • 2006
  • The Seventh Curriculum makes sure that those students who don't have a proper understanding of contents required at a certain stage take a remedial course. But a trend contrary to the intention is formed since there is no systematic education for such a course and thus more students get to fall into the group of low achievement. In particular, solving a simultaneous equation in a rote way without understanding influences negatively students' achievement. Schoenfeld introduced the basic elements of one's own mathematical problem solving process and behavior, referred to Polya's. Employing Schoenfeld's strategy, this study aimed to induce students' active participation in math classes, as well as to focus on a mathematical problem solving process during the study. Two students were selected from a remedial course at 00 Middle School and administered with a qualitative case study method over 17 lessons, each of which lasted for 30 minutes. In the beginning, they used such knowledge as facts and definitions a lot. There was a tendency of their resorting to intuitive knowledge more when they lacked basic knowledge or met with a difficult question. As the lessons were given, however, they improved their ability to implement algorithm procedures and used more familiar ones with the developed common procedures in the area of resources.

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Basic Research on Lighting Design for Learning Effect (학습효과 증진을 위한 조명설계에 대한 기초연구)

  • Lee, Boong-Joo
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.21 no.4
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    • pp.518-524
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    • 2020
  • This study conducted basic research on an LED lighting design to improve the learning effect from brain wave analysis. The ideal environments of mathematics, language, and creative region can be different. Inside the space where the lighting environment can be experienced directly, the test subject consisted of common elements. Other lighting was blocked completely in controlled lighting conditions. The brain waves were analyzed according to the change in color temperature and illumination. The analyzer used was fabricated by EMOTIV Company. In the variable RGB LED light, the color of the light was measured, and the brain wave of each subject was determined. LED lights have variable color temperature (3000 [K], 4500 [K]. 250 [lux], 70% -350 [lux], 100% -500 [lux]). As research results, the highest concentration in a mathematics study was in the general condition of a high color temperature, in which the optimal condition was a 6000[K] color temperature and 350[lux] illumination. The optimal condition for a language study was a 4500[K] color temperature and 500[lux] illumination, and that of the creative study was 3000[K] color temperature and 500[lux] illumination. Overall, the possibility of emotional ability and concentrated learning efficiency can be improved by the LED lighting design with the color temperature and illumination.

A Study on Improving the Quality of General Education at an Engineering College - Hongik University, College of Science and Technology - (공과대학의 소양교육 개선 방안 연구 - 홍익대학교 과학기술대학을 중심으로 -)

  • Baek Hyun-Deok;Park Jin-Won;Sim Soo-Man;Shin Pan-Seok
    • Journal of Engineering Education Research
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    • v.8 no.1
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    • pp.84-98
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    • 2005
  • This study is on improving the general engineering education for enhancing the quality of engineers at a local engineering school in which the students are not highly qualified for engineering education. Based on the analysis on the current engineering education by asking questions to professors, students and alumni of Hongik College of Science and Engineering, we have set the basic educational philosophy as educating practical engineers and have decided the goals of basic engineering education as changing to student oriented education, enhancing the field adaptation capability, improving the problem solving ability and introducing engineering design courses. For achieving the foregoing goals, we have changed several basic engineering courses. Mathematics, science courses, computer related courses, English, communication skill related courses are strengthened, but general college education courses are reduced. We also have encouraged students to participate the classes actively and study efficiently, think logically and creatively. For the operational details, we have tried to impose less courses to freshmen and sophomores, to impose the prerequisite courses, to activate summer and winter schools. Finally, we have tried to find the ways to support continuous improvement on the basic engineering education.

A Research on the Real State of Story-telling Mathematics Class of Middle School (스토리텔링을 적용한 중학교 수학 수업에 대한 교사의 인식 및 활용 실태)

  • Yu, EunHwa;Yun, Jong-Gug
    • Communications of Mathematical Education
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    • v.29 no.3
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    • pp.441-463
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    • 2015
  • The big issue of mathematics education in 2009 revised curriculum is to introduce story-telling in math textbook and to aim toward the math that students can learn easily and interestingly. Therefore, this study examine the perception of middle school teachers in working with story-telling, analyze actual utilization of story-telling in class and provide the basic materials for effective practical application. After making questionnaires to check the real conditions of the story-telling and asking math teachers in charge of the first and second graders, this research came to the conclusion as follows. First, the teachers who took part in this research showed positive perception in story-telling textbook the practical use of a variety of materials and the improvement of thinking faculty and creativity. Second, math teachers made use of a variety of storytelling data and especially reflection media in class, but this was limited in introductory part. Mathematic concept was delivered mainly through the activities of exchanging questions and answers between the teachers and students. Third, students showed positive reaction about story-telling class on the whole. For example, they understood the concept easily and they could apply it in real life. However, story-telling failed to bring the attention and interest of math itself. Therefore, teachers' ability is needed in the way that math knowledge and concept should be formed and expressed interestingly.

A Historical, Mathematical, Psychological Analysis on Ratio Concept (비 개념에 대한 역사적, 수학적, 심리적 분석)

  • 정은실
    • School Mathematics
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    • v.5 no.4
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    • pp.421-440
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    • 2003
  • It is difficult for the learner to understand completely the ratio concept which forms a basis of proportional reasoning. And proportional reasoning is, on the one hand, the capstone of children's elementary school arithmetic and, the other hand, it is the cornerstone of all that is to follow. But school mathematics has centered on the teachings of algorithm without dealing with its essence and meaning. The purpose of this study is to analyze the essence of ratio concept from multidimensional viewpoint. In addition, this study will show the direction for improvement of ratio concept. For this purpose, I tried to analyze the historical development of ratio concept. Most mathematicians today consider ratio as fraction and, in effect, identify ratios with what mathematicians called the denominations of ratios. But Euclid did not. In line with Euclid's theory, ratio should not have been represented in the same way as fraction, and proportion should not have been represented as equation, but in line with the other's theory they might be. The two theories of ratios were running alongside each other, but the differences between them were not always clearly stated. Ratio can be interpreted as a function of an ordered pair of numbers or magnitude values. A ratio is a numerical expression of how much there is of one quantity in relation to another quantity. So ratio can be interpreted as a binary vector which differentiates between the absolute aspect of a vector -its size- and the comparative aspect-its slope. Analysis on ratio concept shows that its basic structure implies 'proportionality' and it is formalized through transmission from the understanding of the invariance of internal ratio to the understanding of constancy of external ratio. In the study, a fittingness(or comparison) and a covariation were examined as the intuitive origins of proportion and proportional reasoning. These form the basis of the protoquantitative knowledge. The development of sequences of proportional reasoning was examined. The first attempts at quantifying the relationships are usually additive reasoning. Additive reasoning appears as a precursor to proportional reasoning. Preproportions are followed by logical proportions which refer to the understanding of the logical relationships between the four terms of a proportion. Even though developmental psychologists often speak of proportional reasoning as though it were a global ability, other psychologists insist that the evolution of proportional reasoning is characterized by a gradual increase in local competence.

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Analysis of mathematics test structures and tasks in Abitur (독일 아비투어(Abitur)의 수학시험 체제 및 문항 분석)

  • Kim, Seong-kyeong;Lee, Miyoung
    • The Mathematical Education
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    • v.61 no.2
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    • pp.287-303
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    • 2022
  • The purpose of this study is to draw implications for the improvement in the CSAT by analyzing structures and tasks in the Abitur. To this end, it analyzes the mathematics test system with a focus on the basic and advanced level examination systems, the operator, the using technology, and mathematical formulas. And the characteristics of tasks in the 2021 Abitur were analyzed. As a result of the analysis, first, Germany evaluates whether students have the competency emphasized in the curriculum at Abitur. Second, Germany, which emphasizes the proper use of technology, utilizes both tasks that use technology and those that do not in the Abitur. Third, the Abitur consists of most of the tasks using promised operators and uses various types of operators to present various types of questions to evaluate competence. Fourth, the Abitur includes not only simple structured items consisting of 2-3 subtasks but also tasks dealing in depth with a single situation centered on a big idea. Finally, mathematical justification and proof play an important role in the Abitur. Based on this, some specific measures for improving the CSAT were suggested.

A study on the Development of Physics Education Program for Foreign Students of Natural Science and Engineering College in Korea (이공계 대학의 유학생을 위한 물리교육 프로그램 개발 연구)

  • Kim, Soocheol
    • Asia-pacific Journal of Multimedia Services Convergent with Art, Humanities, and Sociology
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    • v.9 no.9
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    • pp.1-16
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    • 2019
  • This study was carried out to develop a physics education program for foreign students of university in Korea to improve their ability to major in the field and to prevent them from becoming dropout. The subjects of the study are five Chinese students attending a natural science and engineering college. Prior to the development of the physics education program, the researchers developed basic physics textbooks for the foreign students and questionaries for diagnosis and summative evaluation, and utilized them to apply a total of seven classes. After the application of the classes, the results of the student's diagnosis and summative evaluation, the teacher's diaries, the observer's diaries, and the transcripts were analyzed by triangulation method. In addition, Nvivo12 was used for the analysis of the teacher's and observer's diaries to help with qualitative analysis. The results of the study are as follows: First, the oder and contents of physics education program for students of the natural science and engineering college were presented in detail, and basic physics textbooks and tools for diagnosis and summative assessment were developed. Second, as a result of the analysis of the diagnosis and summative assessment results of the program, the students' basic physics achievement improved by an average of 40 points due to the application of the developed program. Third, as a result of the application of the program using Nvivo12, meaningful node and actual cases were extracted. There were 10 types of nodes created such as understanding of the students, teaching method, rate of the participation, level differences, language problems, relevance to majors, curriculum and methods of education in the country of origin, cooperative learning, and interest inducement. The researcher provided suggestions on physics education methods for students of science and engineering colleges in Korea based on the related cases.