• Title/Summary/Keyword: Mathematical Content Knowledge

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A literature research on storytelling in mathematics education (수학교육에서 스토리텔링(storytelling)에 대한 문헌 분석 연구)

  • Suh, Bo-Euk
    • The Mathematical Education
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    • v.52 no.1
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    • pp.65-82
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    • 2013
  • This study has to do with storytelling. In this study, analyzed the domestic and international academic literature and scientific papers. The purpose of this study is to provide the meaningful basic material on mathematics education for the development of storytelling lesson model and teaching material. First, we analyze the causes and background storytelling appeared. The psychologists found that the human cognition's structure consists of a narrative system. And, We realize that the problem 'How will attract the attention of the students in math class' will be solved by storytelling. Second, the means of storytelling about the educational value and benefits were discussed in Mathematics Education. The story has a powerful force in the delivery of mathematical content. And, the story has strong power, led to feelings of students receiving transfer mathematical content. Finally, examined the characteristics of the psychology of learning in mathematics education by storytelling. We were studied about internal and external story. And, we studies on storytelling as the mediator, story as the knowledge transfer, story as the problem-solving process, story as the script.

Preservice Secondary Mathematics Teachers' Mathematical Content Knowledge: Graphical Representation of y=1, y=x, x=0, $x^2+y^2=1$ (중등 예비교사의 수학적 지식 - y=1, y=x, x=0, $x^2+y^2=1$의 그래프 -)

  • Han Jeong-Soon;Cha In-Sook
    • The Mathematical Education
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    • v.45 no.1 s.112
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    • pp.105-121
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    • 2006
  • The purpose of this study is to investigate preservice secondary mathematics teachers' knowledge about graphical representation and provide implications for better mathematics teaching and learning in our schools. For this purpose, sixty-three preservice teachers were selected and given diverse graphical representation problems of y=1, y=x, x=0, $x^2+y^2=1$. All preservice teachers completed two types of questionnaires. First type is about constructing the graphs of the above each equation, and the second one is to make them find the appropriate graphs from given examples of the each equation. The results indicated that all the participant pre service teachers were unable to construct graphs in terms of various dimensions and various direction of coordinate axis. All of the participants represented the graph of each equation on only two-dimensional coordinate system. In addition, some preservice teachers believed that the axis of coordinates have to be x-axis on horizontal line and y-axis on vertical line. From this study, it is implicated that pre service teacher education program needs to provide the experience of representing the graphs of equation in terms of various dimensions and various direction of coordinate axis so as to develop their future students the flexibility and creativity in mathematical thinking especially in the area of space perception.

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The Utilisation of ICTs For Knowledge Management In A Zimbabwean Urban District Council

  • SAI, Kundai Oliver Shadwell;SUBRAMANIAM, Prabhakar Rontala
    • The Journal of Industrial Distribution & Business
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    • v.13 no.2
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    • pp.1-15
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    • 2022
  • Purpose: This study established the state of the utilisation of information and communication technologies (ICTs) in Zimbabwean urban district councils to manage municipal knowledge. The way municipal knowledge and service delivery information are managed influences the usefulness and accessibility of the information to the various stakeholders. The effective management of this information thus determines the quality of decisions made by Zimbabwean urban councils. Research design, data and methodology: The study adopted a single case study design, employing a purely qualitative research approach. The purposive sampling technique was used to select key informants who participated in the study. Collected data were analysed using thematic content analysis. Results: The findings revealed that the Masvingo City Council was not fully utilising ICTs to manage service delivery knowledge. It has been at a minimum level in cases where they have been used. Conclusions: This research contributes to the Zimbabwean local government body of knowledge, providing the evidence needed to form a basis for future research, focusing on knowledge management and information technology utilisation in municipal organisations. The researchers recommended that Masvingo City Council direct more resources towards improving the existing ICT infrastructure and employee training programmes to improve the management of the organisation's knowledge.

The Study on the Investigation of the Mathematics Teaching Evaluation Standards Focused on SMK (교과 내용 지식(SMK)에 초점을 둔 수학 수업평가 기준 고찰)

  • Hwang, Hye-Jeang
    • Journal of the Korean School Mathematics Society
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    • v.13 no.1
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    • pp.45-67
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    • 2010
  • On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including Subject Matter Knowledge between 2007 and 2008. The purpose of development of mathematics teaching evaluation standards through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. Especially, the standards on mathematics teaching evaluation were developed based on the standards on general teaching evaluation. In this study, the standards were revised and modified by analyzing the results of those studies (namely, evaluation standards) focused on SMK. For this purpose, four domains such as the knowledge of curriculum reconstruction, knowledge of mathematical contents, methodological knowledge, mathematical value were new established based on the theories relevant to SMK and on the base of these four domains, standards or elements on teaching evaluation focused on SMK were reconstructed.

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On the Level of Intuition of Elementary School Teachers in Problem Solving Process (수학 문제해결과정에서 보이는 초등교사의 직관 수준에 관한 연구)

  • Kim, Hae Gyu
    • School Mathematics
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    • v.14 no.4
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    • pp.579-598
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    • 2012
  • Since elementary school students are in the concrete operational stages, they have to learn mathematics using intuitive methods. So teachers have to have knowledge on the intuition. In this paper we investigated specialized content knowledge on the intuition which have 8 elementary school teachers in problem solving process. They were asked to solve 8 problems in the questionnaire which were provided by the www.mathlove.net. As a result we found that 7 elementary school teachers have a lack of understand on the intuition in problem solving process.

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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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An analysis of the educative features of mathematics teacher guidebooks for grades 3 and 4 (초등학교 3~4학년군 수학 교사용 지도서의 교육적 특징 분석)

  • Pang, JeongSuk;Oh, MinYoung;Park, Yejin
    • The Mathematical Education
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    • v.62 no.4
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    • pp.531-549
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    • 2023
  • Despite the significance of mathematics teacher guidebooks as a support for teacher learning, there are few studies that address how elementary mathematics teacher guidebooks support teacher learning. The purpose of this study was to analyze the educative features of elementary mathematics teacher guidebooks for grades 3 and 4. For this, six units from each of ten kinds of teacher guidebooks were analyzed in terms of seven dimensions of Teacher Learning Opportunities in Korean Mathematics Curriculum Materials (TLO-KMath). The results of this study showed that mathematics content knowledge for teaching was richly provided and well organized. Teacher guidebooks provided teacher knowledge to anticipate and understand student errors and misconceptions, but were not enough. Sample dialogues between a teacher and students were offered in the teacher guidebooks, making it easier for teachers to identify the overall lesson flow and key points of classroom discourse. Formative assessment was emphasized in the teacher guidebooks, including lesson-specific student responses and their concomitant feedback examples per main activity. Supplementary activities and worksheets were provided, but it lacked rationales for differentiated instruction in mathematics. Teacher knowledge of manipulative materials and technology use in mathematics was provided only in specific units and was generally insufficient. Teacher knowledge in building a mathematical community was mainly provided in terms of mathematical competency, mathematical classroom culture, and motivation. This paper finally presented implications for improving teacher guidebooks to actively support teacher learning.

A study on assessment framework in Mathematics Education (수학과 평가틀에 관한 고찰)

  • 황혜정;최승현
    • Journal of Educational Research in Mathematics
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    • v.9 no.2
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    • pp.459-471
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    • 1999
  • This study is to develop a mathematics assessment framework based on the mathematics assessment framework and content strands suggested by KEDI, NCTM, NAEP, TIMSS, Oregon State, New Zealand. According to the literature review, there has been more emphasis that students themselves 'communicate' what they 'understood' and how they 'thought' during the situation of 'solving problems'. As a result, communication ability is considered one of the most important factors in assessment situation, which always accompany the abilities of understanding, thinking, problem-solving, etc. In conclusion, the framework related to mathematical knowledge consists of content and behavior domains. The content domain is categorized into 6 content areas of the 7th mathematics curriculum, and the behavior domain is divided into computation, understanding, inference, problem-solving, and communication.

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On Representations of Linear Systems and Analysis for the Meaning of Elimination Method (연립일차방정식의 다양한 표현과 소거법의 의미에 관한 연구)

  • Kim, Jin Hwan;Park, Kyo Sik
    • School Mathematics
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    • v.17 no.3
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    • pp.407-421
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    • 2015
  • Linear system is a basic subject matter of school mathematics courses. Even though elimination is a useful method to solve linear systems, its fundamental principles were not discussed pedagogically. The purpose of this study is to help the development of mathematical content knowledge on linear systems conceptions. To do this, various representations and translations among them were considered, and in particular, the basic principles for elimination method are analyzed geometrically. Rectangular representation is used to solve word problem treated in numbers of things in elementary mathematics and it is useful as a pre-stage to introduce elimination. Slopes and intercepts of lines associated linear equations are used to obtain the Cramer's formula and this solving method was showing the connection between algebraic and geometric procedures. Strategy deleting variables of linear systems by elementary operations is explored and associated with the movements of lines in the family of lines passing through a fixed point. The development of mathematical content knowledge is expected to enhance pedagogical content knowledges.

Analysis of teachers' understanding of the number and operations domain of elementary school mathematics curriculum (초등학교 수학과 교육과정 수와 연산 영역에 대한 교사들의 이해 실태 분석)

  • Park, Ji Hyun;Sung, Ji Hyun
    • The Mathematical Education
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    • v.62 no.4
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    • pp.515-529
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    • 2023
  • The purpose of this study is to analyze teachers' understanding of the number and operations area of grades 3 to 6 in elementary school mathematics curriculum and to derive implications for improving teachers' understanding of the mathematics curriculum. To this end, elementary school teachers were asked to develop items to evaluate curriculum achievement standards at each grade level, and then the teachers' understanding of the curriculum was examined based on the collected items. As a result of the study, there was a misinterpretation of the achievement standards in approximately 25% of the questions collected. Typically, cases where the content covered by each grade was confused when using textbooks as a standard, or cases where the difference between the content covered by the two achievement standards could not be completely distinguished were found.