• Title/Summary/Keyword: mathematics application ability

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An analysis of errors in problem solving of the function unit in the first grade highschool (고등학교 1학년 함수단원 문제해결에서의 오류에 대한 분석)

  • Mun, Hye-Young;Kim, Yung-Hwan
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.277-293
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    • 2011
  • The purpose of mathematics education is to develop the ability of transforming various problems in general situations into mathematics problems and then solving the problem mathematically. Various teaching-learning methods for improving the ability of the mathematics problem-solving can be tried. However, it is necessary to choose an appropriate teaching-learning method after figuring out students' level of understanding the mathematics learning or their problem-solving strategies. The error analysis is helpful for mathematics learning by providing teachers more efficient teaching strategies and by letting students know the cause of failure and then find a correct way. The following subjects were set up and analyzed. First, the error classification pattern was set up. Second, the errors in the solving process of the function problems were analyzed according to the error classification pattern. For this study, the survey was conducted to 90 first grade students of ${\bigcirc}{\bigcirc}$high school in Chung-nam. They were asked to solve 8 problems in the function part. The following error classification patterns were set up by referring to the preceding studies about the error and the error patterns shown in the survey. (1)Misused Data, (2)Misinterpreted Language, (3)Logically Invalid Inference, (4)Distorted Theorem or Definition, (5)Unverified Solution, (6)Technical Errors, (7)Discontinuance of solving process The results of the analysis of errors due to the above error classification pattern were given below First, students don't understand the concept of the function completely. Even if they do, they lack in the application ability. Second, students make many mistakes when they interpret the mathematics problem into different types of languages such as equations, signals, graphs, and figures. Third, students misuse or ignore the data given in the problem. Fourth, students often give up or never try the solving process. The research on the error analysis should be done further because it provides the useful information for the teaching-learning process.

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Comparison of Efficiency of Learning Descriptive Statistics with Computer Software (소프트웨어를 이용한 기술통계 교육의 효과 비교)

  • 송필원
    • Journal of the Korean School Mathematics Society
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    • v.6 no.1
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    • pp.45-63
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    • 2003
  • This study is a research about the effect on achievement, retention and attitude of learning descriptive statistics with the computer software. For this study, 60 students are randomly divided two groups, one is an experimental group using software, the other one is a control group using lecture type of learning statistics. For the analysis, both groups are divided three subgroups according to mathematical ability. Also the topic "descriptive statistics" is divided by 5 subtopics. The test is divided three parts(computation, concept and application) according to knowledge type. The attitude toward statistics is investgated with questionaire and interview with both groups. The achievement test is taken after 8 class periods. The retention test were administered together six weeks after achievement test. The experimental group achieved significantly better than in concept type while the control group performed significantly better than the experimental group in computation type. With respect to the attitude toward statistics, lower ability students may have been negatively affected by the use of software.

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Issues Related to the Application of the 7th National Mathematics Curriculum and the 2005 College Entrance System : Critical Considerations for the Recent High School Mathematics Education in Korea (제 7차 고등학교 수학과 교육과정 적용의 쟁점과 개선방향 - 2005학년도 대학입학전형제도와 관련하여 -)

  • 장경윤
    • School Mathematics
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    • v.5 no.1
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    • pp.27-42
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    • 2003
  • The current 7th National Mathematics Curriculum had been developed as a learner-centered curriculum and begun to apply to high school since 2002. This paper discusses issues related to the high school mathematics curriculum application into high school. The mathematics curriculum for grades 11 and 12 was developed primarily as a learner-centered one to provide five elective courses according to the needs of students based on their future occupation and attitudes. Discussion starts with the differences of the five elective courses: the three of them have dependent and sequential structure and the two are totally different with regards to their levels of difficulty and the content they span. It is claimed that the frameworks of the 2005 National Ability Test for the College Entrance and the minimal enrollment requirements of several influential colleges' admission policy make the high school mathematics education very rigid, unflexible, and anti-educational. Several suggestions to recover and imp-rove the high school mathematics education and the spirit of the 7th curriculum are presented.

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A Comparative Study on the Elementary School Mathematics Curricula of Korea and Japan - Focused on the Revised Curricula - (한.일 초등학교 수학과 교육과정 비교 연구 - 개정 교육과정을 중심으로 -)

  • Lim, Hyun-Soo;Kang, Hong-Jae
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.337-353
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    • 2010
  • The purpose of this study is to provide a useful reference for the elementary school mathematics curriculum of Japan. For this research, we compare the new version of the elementary school mathematics curriculum of Japan and Korea. Roughly speaking, Japan emphasized learning through mathematical ability. On the other hand, the case of Korea, a special emphasis was placed on the ability of problem-solving and mathematical communication. These abilities developed on the base of the mathematical knowledge and skill. The ratio of teaching time are high on mathematics, but Japan ensures much more hours than Korea. Finally we will focus on the result for the application process of the primary school mathematics curriculum.

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A Development of Android Application for Physics Learning Based on STEAM (물리학습을 위한 STEAM 기반의 안드로이드 앱 개발)

  • Kim, Tae-Hun;Kim, Jong-Hoon
    • Journal of Fisheries and Marine Sciences Education
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    • v.24 no.1
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    • pp.25-33
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    • 2012
  • Though science and technology are evolving rapidly in recent years, the traditional science education has limits for students to be satisfied their interests and needs because they couldn't follow these speeds. STEAM as a education integrating science, technology, engineering, arts and mathematics has strengths of increasing interests and understandings in science and technology and improving integrated thinking and problem solving ability for leaners. In this study we analyze the elementary school curriculum and construct physics learning based on STEAM and develop a android application to increase interests in science and improve problem solving ability. In the future, we need to analyze and develop the curriculum and contents for the STEAM education.

A Study on Middle School Students' Smart Media Literacy and Learning in a Context of Online Inquiry-based Mathematics and Science Learning

  • LEE, Sunghye;CHAE, Yoojung
    • Educational Technology International
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    • v.17 no.2
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    • pp.229-251
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    • 2016
  • This study was designed to investigate the relationship between middle school students' smart media competency and online learning outcomes. The context of this study was on online inquiry-based mathematics and science learning environment, and four-hundred and fifty-five (455) 7th to 9th grade students in Korea participated in this research. To assess students' smart device competency, Smart Media Literacy Quotient (SMLQ) which consisted of 18 items regarding the operation ability of smart media and its application (14 items) and positive beliefs of smart media (4 items) was administered to each student. The findings of this study first showed that students' smart media literacy varied according to their characteristics such as gender, grade, class (subject), and socio-economic status. Female students' scores were higher in overall smart media literacy operation and learning ability of smart media than male students. 7th grade middle school students represented lower smart media literacy scores, compared to 8th and 9th graders. Also, minority students were significantly lower in smart media literacy, operation and learning ability of smart media, and positive belief of smart media than the non-minority students. Second, overall smart media literacy and operation and learning ability of smart media varied among high, medium, and low score achievers in inquiry tasks. Low scored students in inquiry tasks were significantly lower in overall smart media literacy and operation and learning ability of smart media than medium scored students. Lastly, smart media literacy also varied by students' dropout/completion. Students who dropped out reported significantly lower scores in overall smart media literacy, operation and learning ability of smart media, and positive belief of smart media.

A Study on the Improvement of Teaching Mathematics via the Use of the Mathematical History based on the Learning Stages (학습 단계별 수학사 활용 학습을 통한 수학 수업 개선)

  • Lee, Jeong-Jae;Yun, Sang-Hyun;Choo, Shin-Hae;Shim, Soo-Jeong
    • Education of Primary School Mathematics
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    • v.10 no.1 s.19
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    • pp.57-70
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    • 2007
  • This study is aimed at the improvement of the teaching mathematics via the use of the mathematical history based on the learning stages which are understanding the problem, seeking after and solving the problem, application and development, and understanding the homeworks. General questions of this study are as follows according to the purpose of this study: First, we develop materials to use the teaching and learning stages which are understanding the problem, seeking after and solving the problem, application and development, and understanding the homeworks. Second, we search the effective methods for using materials which are developed in this study. Third, we apply materials to the teaching and learning mathematics. To answer the problems, 1 class students of the 4th grade in Gwangju participated in this study. Teaching and learning which uses mathematical history based on the learning stages is performed. The following results were obtained in this research. First, the teaching and learning using materials which is related to mathematical history is effective in improvement of students' mathematical ability. Second, the teaching and learning using material which is related to mathematics history is effective in improvement of students' mathematical attitude. In special, mathematical attitude of students who are involved in learning using materials which is related to mathematical history is more positive than that of general students using traditional teaching methods. Lastly, generalization of newly developed materials should be done to get more development and upgrade.

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Development and application of program for mathematically gifted students based on mathematical modeling : focused on Voronoi diagram and Delaunay triangulation (영재교육을 위한 수학적 모델링 프로그램의 개발 및 적용 :보로노이 다이어그램과 들로네 삼각분할을 중심으로)

  • Yu, Hong-Gyu;Yun, Jong-Gug
    • Communications of Mathematical Education
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    • v.31 no.3
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    • pp.257-277
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    • 2017
  • The purpose of this research is divide into two kinds. First, develop the mathematical modeling program for mathematically gifted students focused on Voronoi diagram and Delaunay triangulation, and then gifted teachers can use it in the class. Voronoi diagram and Delaunay triangulation are Spatial partition theory use in engineering and geography field and improve gifted student's mathematical connections, problem solving competency and reasoning ability. Second, after applying the developed program to the class, I analyze gifted student's core competency. Applying the mathematical modeling program, the following findings were given. First, Voronoi diagram and Delaunay triangulation are received attention recently and suitable subject for mathematics gifted education. Second,, in third enrichment course(Student's Centered Mathematical Modeling Activity), gifted students conduct the problem presentation, division of roles, select and collect the information, draw conclusions by discussion. In process of achievement, high level mathematical competency and intellectual capacity are needed so synthetic thinking ability, problem solving, creativity and self-directed learning ability are appeared to gifted students. Third, in third enrichment course(Student's Centered Mathematical Modeling Activity), problem solving, mathematical connections, information processing competency are appeared.

Development of remedial learning program for vocational high school students focused on the area of change and relation (특성화고등학교 학생을 위한 수학과 진단평가 및 보정학습 자료 개발 연구 - '변화와 관계' 영역을 중심으로-)

  • Choe, Seung-Hyun;Hwang, Hye Jeang;Geum Cheon, Nam
    • Journal of the Korean School Mathematics Society
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    • v.16 no.2
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    • pp.409-434
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    • 2013
  • The mathematical ability is an essential element for achieving professional competencies and for enhancing application ability in a vocational world and exploring its experiences. In this aspect, for vocational high school students, it is an important and urgent issue to develop remedial learning programs for developing mathematical basic and application ability. In particular, the program is developed based on the individual achievement level, focused on a mathematical basic ability to be applied efficiently in a vocational world. Because of this reason, in this study, the program is comprised of two phases; one is diagnosis test and the other is remedial teaching and learning materials. Then, diagnosis test includes three test; I) level testing evaluation for selecting the subject of remedial learning, ii) pre-test for deciding on which area and level of the materials when students begin to study, and iii) post-test for confirming the learning status is satisfied and the possibility of next step(level) or the other area of the materials. To accomplish this, this study tried to devise an efficient remedial learning system. Based on the system, this study developed remedial learning programs on the four areas of number and quantity, change and relation, uncertain thing, and figure and shape in the middle school level. In particular, this program is comprised of two types of knowledge. One is K-knowledge which is an essential knowledge to achieve a basic mathematical ability. The other is C-knowledge which is the advanced knowledge required to apply efficiently in a vocational world. This paper deals with the content mentioned above, but examples of the materials is shown focused on the area of change and relation.

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Understanding of the Meaning of Assessment in School Mathematics (중학교 수학에서 평가가 갖는 의미 이해)

  • Kang, Yun-Soo;Kim, Min-Ju
    • Journal of the Korean School Mathematics Society
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    • v.10 no.4
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    • pp.505-518
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    • 2007
  • The purpose of this paper is to investigate the meaning of assessment for students, parents and mathematics teachers in middle school mathematics. For this purpose, we made an inspection to find out how the students grasped assessment results of mathematics, an investigation on the parents questionnaire to catch their viewpoints about assessment in school mathematics. Then, we interviewed three students, three teachers to confirm or to supplement the collected data. From the analyzing of data, we found the followings: First, it is not reasonable to evaluate the middle school students' mathematics accomplishment level using only paper test score. Second, almost all parents focus on their interesting to mathematics test score of their children not any other factors, such as intellectual accomplishment. Third, mathematics teachers claim that private education for only the mathematics test score can block the improving of students' mathematical thinking and application ability of mathematical knowledge.

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