• Title/Summary/Keyword: 수학교육의 방향

Search Result 471, Processing Time 0.028 seconds

A Case study on the effect of designing instruction according to the ASSURE model to mathematics teacher's TPACK and teaching efficacy (ASSURE 모형에 기반한 수업설계 경험이 수학교사의 TPACK과 교수효능감에 미치는 영향에 대한 사례 연구)

  • Rim, Hae-Mee;Choi, In-Seon
    • Journal of Educational Research in Mathematics
    • /
    • v.22 no.2
    • /
    • pp.179-202
    • /
    • 2012
  • To implement effective technology-based education, we need knowledge for functional aspects of technology as well as design and procedural aspects of curriculums. Also, we need positive teaching efficacy. In this regard, we investigate the effects on teachers' TPACK and technology teaching efficacy on mathematics after make the teachers design and teach technology-based classes according to the ASSURE model which is suitable in designing technology-based educations. First, we let the teachers design and teach two unit hour classes. The first class had been done with the teachers learned functional aspects of technologybased educations, and the second one with them designed based on the steps in the ASSURE model. To analyze the effects of ASSURE model, we have performed a case-study for one teacher who had taken part in our college class. As a result, we conclude that the teacher's experiences in designing classes based on the ASSURE model help improve the teacher's TPACK and technology teaching efficacy on mathematics in a positive way.

  • PDF

A Study on the Development of Polycube Teaching-Learning Materials for Mathematically Gifted Elementary School Students (초등 수학 영재를 위한 폴리큐브 교수.학습 자료 개발 연구)

  • Park, Ji-Young;Song, Sang-Hun
    • School Mathematics
    • /
    • v.12 no.3
    • /
    • pp.353-370
    • /
    • 2010
  • The purpose of this study was threefold: (1) to select the components of spatial ability that could be associated with the implementation of a polycube task, embody the selected components of spatial ability as learning elements and develop the prototype of polycube teaching-learning materials applicable to gifted education, (2) to make a close analysis of the development process of the teaching-learning materials to ensure the applicability of the prototype, (3) to give some suggestions on the development of teaching-learning materials geared toward mathematically gifted classes. The findings of the study were as follows: As for the first purpose of the study, relevant literature was reviewed to make an accurate definition of spatial ability, on which there wasn't yet any clear-cut explanation, and to find out what made up spatial ability. After 13 components of spatial ability that were linked to a polycube task were selected, the prototype of teaching-learning materials for gifted education in mathematics was developed by including nine components in consideration of children's grade and level. Concerning the second purpose of the study, materials for teachers and students were separately developed based on the prototype, and the materials were modified and finalized in light of when selected students exerted their spatial ability well or didn't in case of utilizing the developed materials in class. And then the materials were finalized after being finetuned two times by regulating the learning type, sequence and degree of learning difficulty. Regarding the third purpose of the study, the polycube task performed in this study might not be generalizable, but there are seven suggestions on the development process of teaching-learning materials.

  • PDF

A Survey on the Spatial Sense Ability of Elementary School Students -Focusing on Fourth to Sixth Graders- (초등학생들의 공간 감각 실태 조사 -4,5,6학년을 중심으로-)

  • Cho, Young Sun;Chong, Yeong Ok
    • Journal of Elementary Mathematics Education in Korea
    • /
    • v.16 no.3
    • /
    • pp.359-388
    • /
    • 2012
  • The study aims to extract the framework of sub-factors of spatial sense, to develop test instruments based on the framework to investigate the actual spatial sense ability of fourth to sixth graders in elementary school and to analyze the results. According to the framework of sub-factors of spatial sense of the study, spatial sense has two factors of spatial visualization and spatial orientation. Spatial visualization is divided into mental rotation, mental transformation and figure-ground perception while spatial orientation is categorized into direction sense, distance sense, and location sense. Based on the framework, the test instrument for spatial sense ability was developed and the test was conducted to 430 fourth to sixth students in five elementary schools in capital areas. The following conclusions were drawn from the results obtained in the study. Firstly, the higher school year gets, the more spatial sense grows. However, spatial visualization is developed much more than spatial orientation and their order is reversed with higher graders. Secondly, the most insufficient abilities among fourth to sixth elementary school students' spatial sense were mental transformation of spatial visualization and location sense of spatial orientation. Thirdly, the reasons of differences in sub-factors of spatial sense and graders seem to be from effects of students' learning experiences of spatial sense of mathematics curriculum and the complexities of test items.

  • PDF

The Study of the Extension of the Scale of Notation by Analogy and the Notation in History (역사 속의 진법과 유추를 통한 진법의 확장에 대한 연구)

  • Suh, Bo-Euk
    • Journal for History of Mathematics
    • /
    • v.22 no.3
    • /
    • pp.187-206
    • /
    • 2009
  • On this study, the historical flow of the notation was briefly examined and the direction of mathematical investigation activity of the content of notation by analogy was explored and teaching learning materials were developed. Diverse mathematical facts were investigated on the basis of decimal system and binary system which are learned in middle school. First, the way of progressing analytic activity with algebraic material was examined. Second, on the basis of the notation which are learned in the first grade of middle school, the definition of the scale of a -notation, -a -notation, $\frac{1}{a}$notation, $\sqrt{a}$-notation was extended by analogy. The result of this study will be expected to establish the curriculum of mathematics and provide teaching and learning with the meaningful current events.

  • PDF

Domestic Research Trends of Teacher Knowledge in Mathematics (수학과 교사지식에 관한 국내 연구의 동향 분석)

  • Song, KeunYoung;Pang, JeongSuk
    • Journal of the Korean School Mathematics Society
    • /
    • v.16 no.1
    • /
    • pp.265-287
    • /
    • 2013
  • The purpose of this study was to analyze the trends of domestic research on teacher knowledge in mathematics in terms of its conceptualizations of teacher knowledge, topics, methods, subjects, and content domains. For this purpose, the papers published in 9 professional journals during the recent 14 years (1999-2012) were analyzed by 5 criteria. The results of this study showed that the concept of PCK was the most frequent, whereas its subcategories appeared in different forms. The most frequent research topic was survey of teacher knowledge. The qualitative research methodology was more frequently used than the quantitative methodology, whereas mixed one was hardly used. The subjects for research included a little more elementary school teachers than secondary counterparts, but did similarly both pre-service and in-service teachers. Whereas both the research on number and operations in elementary mathematics education and the research on function in secondary were active, the rest of content domains were not. On the basis of these results, this paper provides several implications for future research direction in teacher knowledge in mathematics.

  • PDF

Domestic and International Experts' Perception of Policy and Direction on STEAM Education (융합인재교육(STEAM)의 정책과 실행 방향에 대한 국내외 전문가들의 인식)

  • Jung, Jaehwa;Jeon, Jaedon;Lee, Hyonyong
    • Journal of Science Education
    • /
    • v.39 no.3
    • /
    • pp.358-375
    • /
    • 2015
  • The purposes of this study were to investigate the value, necessity and legitimacy of STEAM Education and to propose practical approaching methods for STEAM Education to be applicable in Korea through a variety of literature review, case studies and collecting suggestions from domestic and international educational experts. The research questions are as follows: (1) To investigate the perception, understanding and recognitions of domestic and foreign professionals in STEAM education. (2) To analyze policy implications for an improvement in STEAM. The following aspects of STEAM were found to be challenges in our current STEAM policy after analyzing multiple questionnaires with the professionals and case studies including their experiences, understanding, supports and directions of the policy from the governments. The results indicate that (1) there was a lack of precise and conceptual understanding of STEAM in respect to experience. Training sessions for teachers in this field to help transform their perception is necessary. Development of practical programs with an easy access is also required. It is important to get the aims of related educational activities recognized by the professionals and established standards for an evaluation. The experts perceived that a theme-based learning is the most preferred and effective approaching method and the programs that develop creative thinking and learning applicable to practice are required to promote. (2) The results indicate that there was a lack of programs and inducements for supporting outstanding STEAM educators. It is shown that making an appropriate environment for STEAM education takes the first priority before training numbers of teachers unilaterally, thus securing enough budget seems critical. The professionals also emphasize on developing specialized teaching materials that include diverse inter-related subjects such as science technology, engineering, arts and humanities and social science with diverse viewpoints and advanced technology. This work requires a STEAM network for teachers to link up and share their materials, documents and experiences. It is necessary to get corporations, universities, and research centers participated in the network. (3) With respect to direction, it is necessary to propose policy that makes STEAM education ordinary and more practical in the present education system. The professionals have recommended training sessions that help develop creative thinking and amalgamative problem-solving techniques. They require reducing the workload of teachers and changing teachers' perspectives towards STEAM. They further urge a tight cooperation between departments of the government related with STEAM.

  • PDF

An Analysis on the GIS-related Test Items of High School Korean Geography: Focusing on the Nationwide Tests for the 12th Graders in the 7th National Education Curriculum (고등학교 한국지리 GIS 관련 평가 문항 분석: 7차 교육과정 고등학교 3학년 전국 규모 평가를 대상으로)

  • Cho, Daeheon
    • Journal of the Korean Geographical Society
    • /
    • v.49 no.3
    • /
    • pp.472-487
    • /
    • 2014
  • This study aims to analyze the characteristics of GIS-related test items of high school Korean Geography in the 7th National Education Curriculum, and to discuss some issues and challenges. First, we developed a framework for analyzing test items based on the literature review and the content analysis on the textbooks, which categorizes test items in terms of content elements and activity elements. Then, we examined test items of nation-wide tests including CSAT(College Scholastic Ability Test) carried out 2004-2012 and analyzed the percentage of correct answers as well. According to the results, there was a significant predominance of particular test item categories, and the percentage of correct answers of GIS-related items was slightly higher than whole average but it depended on the test item categories. Finally, we discussed the implications of this analysis to the tests as well as the teaching-learning process in the classroom, and suggested improvement directions such as integration of GIS with other contents, reinforcement of the inquiry-based test items, maintaining moderate difficulty.

  • PDF

On a Representation of an Arbitrary Point on a Figure Focused on a Translated Figure (도형 위의 임의의 점의 표현에 대한 연구 -평행이동 된 도형을 중심으로-)

  • Lee, Min Jung
    • Communications of Mathematical Education
    • /
    • v.33 no.2
    • /
    • pp.105-122
    • /
    • 2019
  • In Korean textbooks, by T(x,y) = (x+a, y+b) where a and b are horizontal and vertical changes respectively, an arbitrary point on the original figure f(x, y) = 0 has been expressed as a point (x, y) and a point on a translated figure f(x-a, y-b) = 0 has been expressed as a point (x', y'). If an arbitrary point on a figure f(x, y) = 0 is expressed as a point (x, y), then a point (x, y) and a figure f(x, y) = 0 are different targets but the same characters are used. In this following study, there were found that the expressions in these textbooks were stuck for more than 50 years, so students' thoughts were stiff. And therefore these are a need to be improved so that those things are studied as follows. First, inducing a formula, what are the students' responses like when were expressed differently from textbooks? Second, based on the results reviewed, how will the expressions of the textbook be revised? Third, how do the students respond to the modified expressions? As the result, a point on the original figure were expressed differently from textbooks and a point on a translated figure was put as a point (x, y), and about it, all of the students surveyed said that this improved expressions made in the study were easier.

Seeking a Way for the Connection of Curriculum of Infants and Children Based on the Area of Inquiry in Daily Life -Centered on the Early Learning Standards in America- (미국의 조기학습기준의 분석으로 살펴본 시사점을 통하여 자연탐구영역의 영아와 유아의 교육과정의 연계 방향 모색)

  • Kim, Eun Jung;Yoo, Yung Eui;Shin, Eun Soo
    • Korean Journal of Childcare and Education
    • /
    • v.10 no.6
    • /
    • pp.223-241
    • /
    • 2014
  • The objective of this study was to plan a direction for the connection of the area of inquiry in daily life between infants and young children in Korea based on the analysis of the early learning standards for infants aged 0~2, and young children aged 3~4/5 in 17 different states in America. The problem of the study is as follows: What is the content area of cognitive development, science and mathematics of early learning standards regarding age? The data used in this study was collected from a total of 17 states in America in which 12 states classify infants and young children as aged 0~2 and 3~4/5 respectively and 5 states do not classify the age groups. The results obtained from the analysis of the given issues are as follows. First, in the case of the five states that showed the group aged 0~4/5, the contents related to the area of inquiry in daily life of the early learning standards were included in the mathematics and science and a part of these contents were also included in cognitive developments. In the case of the 12 states that classified the groups aged 0~2 and 3~4/5 respectively, the group aged 0~2 included cognitive developments and the group aged 3~4/5 includes mathematics and science. Second, the contents related to the area of inquiry in daily life of the early learning standards in the five states that showed the single group aged 0~4/5 include the contents in order of scientific idea, biology, physics, and the earth and space. In the 12 states that classify different age groups. Third, in the case of the states that separate age groups, the group aged 0~2 include the contents of number and operation, geometry and space while the group aged 3~4/5 include the contents of number and operations, geometry and space, and measurement. The implications of this study was that it is necessary to take into account the linking between development and characteristics of the subjects.

Development and Application of Scientific Inquiry-based STEAM Education Program for Free-Learning Semester in Middle School (중학교 자유학기제에 적합한 과학 탐구 중심의 융합인재교육 프로그램 개발 및 적용)

  • Jeong, Hyeondo;Lee, Hyonyong
    • Journal of Science Education
    • /
    • v.41 no.3
    • /
    • pp.334-350
    • /
    • 2017
  • The purposes of this study are to develop scientific-inquiry based on STEAM education program and to investigate the effects of the program on middle-school students' interests, self-efficacy, and career choice about science, technology/engineering, and mathematics. In order to develop this program, the literature investigation and previous studies were conducted, so that finally the developmental direction was based on scientific inquiry and the developmental theme and model were selected. A total 92 first-graders in G middle-school of Daegu city were participated in this study. A single group pre-post test paired t-test was conducted to figure out changes of students' interest, self-efficacy, and career choices before or after applying this program. In addition, in-depth interviews were conducted with 14 students to find their specific responses. The results of this study were as follows. First, STEAM education program on the theme of 'RC Airplane' was developed on the basis of the 'ADBA' model. Second, the developed STEAM educational program not only results a decisive difference statistically but also has significant effects on middle-school students' interests, self-efficacy, and career choice in science, technology/engineering, and mathematics, who are involved in the free-semester program, across the overall affective domain. In conclusion, the STEAM educational program in this study could affect significant meanings to middle-school students during the free-semester. It could contribute to facilitate middle-school students' education for happiness and to grow the creative STEAM talents.