• Title/Summary/Keyword: 수학내용 지식

Search Result 296, Processing Time 0.025 seconds

An analysis of preservice mathematics teachers' reading of curriculum materials: Focused on conditional probability (예비 수학교사들의 교육과정 자료 해석: 조건부확률을 중심으로)

  • Ku, Nayoung;Tak, Byungjoo;Choi, Inyong;Kang, Hyun-Young
    • The Mathematical Education
    • /
    • v.58 no.3
    • /
    • pp.347-365
    • /
    • 2019
  • It is important to pay attention to how teachers recognize and use curriculum materials in order to link written curriculum and enacted curriculum. In this study, 90 preservice mathematics teachers were surveyed to identify their perspective and reading of curriculum materials. Especially, we focused on the curriculum documents, textbooks, and teachers' guidebooks containing the concept of conditional probability which is addressed in highschool mathematics curriculum. The various misconceptions of conditional probability were reported in the many researches, and there are multiple methods to introduce conditional probability in mathematics classes. As a result, curriculum materials have some limits to be used as they are and considered to be reconstructable by participants, but their curriculum reading were mainly classified to be descriptive and evaluative, not to be interpretive. However, unlike curriculum documents, textbooks and teachers' guidebooks were partially interpreted by participants using their knowledge of conditional probability. The purpose of this study is to investigate the profession of mathematics teachers in terms of curriculum implementation. We expect that this study will provide a basic framework for analyzing mathematics teachers' works and suggest some implications for the professional development of mathematics teachers.

Research Trends in Mathematics Teacher Learning Community : Literature Review (수학 교사 공동체 관련 국내·외 연구 동향)

  • Kim, Won;Lim, Woong
    • Communications of Mathematical Education
    • /
    • v.34 no.4
    • /
    • pp.439-464
    • /
    • 2020
  • This study conducted a systematic review of mathematics teacher learning communities, especially the characteristics of teacher collaboration in community activities. Our review includes 14 research papers published in national academic journals indexed in KCI and 24 research papers in international academic journals indexed in SSCI from 2003 to 2019. Results show that the literature varied in research design, research topics, and patterns relating to teacher collaboration. While both international and national papers report teacher community activities concerning the organization, management, and participation, there were different levels of involvement, visions, and activities across the communities of practice. For example, research in national journals has presented teacher community as professional development while papers in international journals have focused on documenting teacher community becoming a reflective community of practice. This study contributes to understanding the interplay of context, conflicting epistemic culture, and professional agency in fostering collaboration in teacher communities. This paper also discusses relevant research methods to investigate mathematics teacher communities and insights into the policy and practice of mathematics teacher education.

A Study on Mathematics Question Item Trend in Elementary School Teacher Selection Test (초등교사 임용 시험에서 수학 교과 문항의 출제 동향 분석)

  • Lee, Jong-hak
    • Journal of the Korean School Mathematics Society
    • /
    • v.18 no.4
    • /
    • pp.431-448
    • /
    • 2015
  • Elementary school teacher selection test has to be implemented for knowledge(MKT) to estimate and to be a step in the expansionary direction. For this, It has to be analyzed closely in terms of teacher's MKT first that questions set from selection tests until now. In this research, some standards were established by type of question, grade, contents field and subject from 84 mathematics questions set at examinations. And it was analyzed concretely by general tendency and produced the results of analysis related to elementary teacher's MKT in elementary school teacher selection test since year 2000. The results showed that descriptive and short answer type was mostly set(71.4%) in type of question and integrated grade type was mostly set(41.7%) in type of grade in elementary school teacher selection test. And in type of contents field, rated from highest to lowest, number and operations(31.0%), measurement(23.8%), figure(15.5%) were set. Textbook/manual(34.5%), solution of problem(26.2%), learning psychology(13.1%) in status of subject were followed in order, but there's no relationship with estimation. This research was based on a standard of precedent study and made an analysis of elementary mathematics questions of selection test since year 2000. Therefore, it has a meaning because of produced results from analysis related to elementary teacher's MKT.

An Investigation of the Selection Process of Mathematically Gifted Students

  • Lee, Kyung-Hwa;Park, Kyung-Mee;Yim, Jae-Hoon
    • Research in Mathematical Education
    • /
    • v.7 no.3
    • /
    • pp.139-150
    • /
    • 2003
  • The purpose of this paper is to review the gifted education from a reflective perspective. Especially, this research touches upon the issues of selection process from a critical point of view. Most of the problems presented in the mathematics competition or in the programs for preparing such competitions share the similar characteristic: the circumstances that are given for questions are too artificial and complicated; problem solving processes are superficially and fragmentally related to mathematical knowledge; and the previous experience with the problem very much decides whether a student can solve the problem and the speed of problem solving. In contrast, the problems for selecting students for Gifted Education Center clearly show what the related mathematical knowledge is and what kind of mathematical thinking ability these problems intend to assess. Accordingly, the process of solving these problems can be considered an important criterion of a student's mathematical ability. In addition, these kinds of problems can encourage students to keep further interest, and can be used as tasks for mathematical investigation later. We hope that this paper will initiate further discussions on issues derived from the mathematically gifted student selection process.

  • PDF

A study on relation between student factors and achievements in computing education for computer science non-majors (컴퓨터 비전공자 컴퓨팅 교육에서 학습자 특성과 학업성취 관련 연구)

  • Kim, Minja;Kim, Hyeoncheol
    • Proceedings of The KACE
    • /
    • 2017.08a
    • /
    • pp.235-239
    • /
    • 2017
  • 학습자는 교육의 3요소인 교육자, 학습자, 교육내용의 하나로 학습자 특성과 이가 학업성취에 미치는 영향을 이해하는 것이 중요하다. 컴퓨터 비전공자를 대상으로 하는 컴퓨팅 교육이 점점 활발해지고 있다. 비전공자 컴퓨팅 교육이라는 맥락에서 학습자 특성과 학업성취의 관계를 이해할 필요가 있다. 본 연구는 비전공자 컴퓨팅 교육에서 학습자 특성과 학업성취의 관계를 실증적으로 이해하기 위해 실행되었다. 학습자 특성을 이전경험/사전지식, 인지적 요인, 심리적 요인의 3가지로 분류하였고, 연구대상을 3그룹으로 설정, 다양한 하위 요소 데이터를 수집하였다. 그 결과, 대상 1의 경우 학습스타일(순차적: 부적상관, 통합적: 정적상관), 대상 2는 자기 효능감(사후), 대상 3은 수학 사전지식, 컴퓨팅과 전공의 연계성 인식, 정보적 사고에 대한 인식이 학업성취와 유의미한 상관관계가 있었다. 하지만 상관성이 모두 0.5이하로 크지 않고, 자기 효능감과 전공 연계성 인식의 경우 대상에 따라 결과가 상이하였다. 향후 연구에서 다루지 않은 변수에 대한 연구와 상관관계가 밝혀진 변수만을 대상으로 인과성을 확인하는 연구가 필요하다. 또한 현상학적 관점으로 학습자 특성을 고찰할 필요가 있다.

  • PDF

Analysis of 2009 Revised Chemistry I Textbooks Based on STEAM Aspect (STEAM 관점에서 2009 개정 화학 I 교과서 분석)

  • Bok, Juri;Jang, Nak Han
    • Journal of Science Education
    • /
    • v.36 no.2
    • /
    • pp.381-393
    • /
    • 2012
  • This study was analyzed that what kind of elements for STEAM, except scientific commonsense, are contained in 2009 revised chemistry textbooks I for high school students. So first, elements of STEAM in textbooks were examined by following three sections; by publishing company, each unit and area of textbook. For reference, new sub-elements of STEAM were set because existing elements of STEAM is incongruent with current textbooks. As a result, most chemistry textbooks included elements of STEAM properly for inter-related learning with the other fields. Every textbook had its unique learning methods for utilizing elements of STEAM and they were unified as one way. Depending on textbooks, learning methods were little bit different from the others. Also, detailed elements of STEAM contained in textbooks were classified just 14 types. And they were even focused on a few elements according to sort of textbook. Thus, it seemed that there was a certain limitation of current education of STEAM in chemistry Field. By the unit, according to the curriculum, contained elements of STEAM were different. Almost all elements of STEAM were located in I section. Consequently, it is difficult to include elements of STEAM if mathematics or history were not existed in curriculum. Lastly, by the area, most of all elements of STEAM were included in reference section. Almost all elements of STEAM were focused on art and culture. Thus, STEAM was used for utilization about chemical knowledge in substance. Otherwise, convergence training for approach method was not enough in chemical knowledge.

  • PDF

Investigation of the Components for Assessing the Ability of Engineering Design (공학설계능력의 평가 요소 구명)

  • Kim Tae-Hoon;Lee So-Yee;Rho Tae-Cheon
    • Journal of Engineering Education Research
    • /
    • v.8 no.3
    • /
    • pp.49-56
    • /
    • 2005
  • The purposes of this study are to select assessment components for the engineering design ability and to verify the validity of the selected assessment components. From the results of the study, the following conclusions were made. $\cdot$ Social Ability : 'Communication' and 'Teamwork' $\cdot$ Procedure Ability : 'Acknowledging and Defining Problems', 'Planning and Maintaining', 'Collecting Information', 'Deriving Ideas' and 'Evaluating Ideas' $\cdot$ Experience : 'Engineering Experience' and 'Science Experience' $\cdot$ Knowledge : 'Engineering Knowledge', 'Science Knowledge' and 'Mathematics Knowledge', 'Visualization Ability': 'Sketching' and 'Drawing' $\cdot$ Reasoning : 'Converging Reasoning' 'Inductive Reasoning' and 'Intuitive Reasoning'

A Comparative Study of Mathematics Curriculum and National Assessment Between Japan and Korea (일본과 우리나라의 수학과 교육과정과 국가수준 학업성취도 평가 비교)

  • Rim, Haemee;Kim, Bumi
    • School Mathematics
    • /
    • v.16 no.2
    • /
    • pp.259-283
    • /
    • 2014
  • This research investigated the Revised mathematics curriculum and the National Achievement Test of Japan that advanced by leaps and bounds in PISA 2012. As compared with Korea, Japan shows similar trends in the affective domain and the cognitive domain of international achievement test. To put it concretely, this research compared and analyzed the mathematics contents domain of the 2009 revised mathematics curriculum of Korea and the 2008 revised mathematics curriculum of Japan being applied. The analysis was conducted in many aspects including overall of Japanese mathematics education system, the contents to be covered in each grade, and the methods of essential learning themes. We compared the mathematics contents dealt with each country based on the framework of analysis such as

    . Also, this research compared and analyzed overview of evaluation system, assessment frame, item characteristic, type of item of NAEA, NAT, and PISA. The results show the introduction time, the degree of deepening themes handled in each country, common themes and topics were very similar between Korea and Japan. But content area of Japan and Korea have been highlighted in the curriculum of middle school and elementary school in each are different. We know that Test B of NAT also emphasized the use of mathematical knowledge. Form the results, we obtained the basic data for the improvement of the next our curriculum. In addition, this results suggests the implications for the improvement of school mathematics curriculum of Korea.

  • PDF
  • An Investigation of Beginning and Experienced Teachers' PCK and Teaching Practices - Middle School Functions - (초임교사와 경력교사의 교수학적 내용지식과 수업실제 분석 - 중학교 함수단원 -)

    • Choi, Yoon-Hwa;Choi, Sang-Ho;Kim, Dong-Joong
      • Journal of the Korean School Mathematics Society
      • /
      • v.17 no.2
      • /
      • pp.251-274
      • /
      • 2014
    • The purpose of this study is to analyze characteristics of PCK before class, investigate how these characteristics are enacted in classrooms when beginning and experienced teachers teach mathematical functions, and provide pedagogical implications. Two beginning teachers and two experienced teachers participated in the study. In order to analyze characteristics of PCK before class, interviews and survey research were conducted. An investigation of classroom discourse was used to examine how the PCK characteristics appear in classrooms. Results show that experiences teachers enacted their PCK about learner, curriculum, teaching methods, and teaching environment in classrooms, whereas beginning teachers could not show their PCK. These results suggest practical implications for the developments of teacher education curriculum and teacher training program.

    • PDF

    A Mathematics Teacher's Reflective Practice as a Process of Professional Development (전문성 신장 과정으로서의 한 수학교사의 성찰적 실천)

    • Kim, Dong-Won
      • Communications of Mathematical Education
      • /
      • v.23 no.3
      • /
      • pp.735-760
      • /
      • 2009
    • Most of every teachers' life is occupied with his or her instruction, and a classroom is a laboratory for mutual development between teacher and students also. Namely, a teacher's professionalism can be enhanced by circulations of continual reflection, experiment, verification in the laboratory. Professional development is pursued primarily through teachers' reflective practices, especially instruction practices which is grounded on $Sch\ddot{o}n's$ epistemology of practices. And a thorough penetration about situations or realities and an exact understanding about students that are now being faced are foundations of reflective practices. In this study, at first, we explored the implications of earlier studies for discussing a teacher's practice. We could found two essential consequences through reviewing existing studies about classroom and instructions. One is a calling upon transition of perspectives about instruction, and the other is a suggestion of necessity of a teachers' reflective practices. Subsequently, we will talking about an instance of a middle school mathematics teacher's practices. We observed her instructions for a year. She has created her own practical knowledges through circulation of reflection and practices over the years. In her classroom, there were three mutual interaction structures included in a rich expressive environments. The first one is students' thinking and justifying in their seats. The second is a student's explaining at his or her feet. The last is a student's coming out to solve and explain problem. The main substances of her practical know ledges are creating of interaction structures and facilitating students' spontaneous changes. And the endeavor and experiment for diagnosing trouble and finding alternative when she came across an obstacles are also main elements of her practical knowledges Now, we can interpret her process of creating practical knowledge as a process of self-directed professional development when the fact that reflection and practices are the kernel of a teacher's professional development is taken into account.

    • PDF

    (34141) Korea Institute of Science and Technology Information, 245, Daehak-ro, Yuseong-gu, Daejeon
    Copyright (C) KISTI. All Rights Reserved.