• Title/Summary/Keyword: mathematics content knowledge

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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.

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.

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 TPACK of mathematics teachers : Focusing on recognitions and educational needs of TPACK (수학교사의 테크놀로지 교수 내용 지식(TPACK)에 대한 연구 : TPACK에 대한 인식 및 교육요구도 분석 중심으로)

  • Lee, Da-Hee;Whang, Woo-Hyung
    • The Mathematical Education
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    • v.57 no.1
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    • pp.1-36
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    • 2018
  • The purpose of this study is to examine the relationship between utilization of technology and TPACK in mathematics teachers, and to analyze needs and retentions, difference between needs and retentions, and educational needs of TPACK in mathematics teachers. Furthermore, we will prioritize TPACK items that mathematics teachers want to change, and provide implications for teacher education related to TPACK in the future. To do this, we analyzed 328 mathematics teachers nationwide by using survey on the utilization of technology, averages of TPACK's needs and retentions, t-test of two averages, Borich's educational needs analysis, and the Locus for Focus model. The results are as follows. Firstly, the actual utilization rate was lower than the positive recognition of utilization of technology by mathematics teachers, and many mathematics teachers mentioned the lack of knowledge related to TPACK. Secondly, the characteristics of in-service mathematics teacher's needs and retentions for TPACK were clear, and TPACK's starting line of in-service mathematics teacher can be different from pre-mathematics teacher's. The retentions was high in the order of CK, PCK and PK, and the needs was higher in the order of TPACK, TCK, TK and TPK. All of the higher retentions were knowledge related to PCK, and the value of CK was extremely high among them. In addition, mathematics teachers recognized needs for integrated knowledge related to technology, and they needed more TCK than TPK. The difference between needs and retentions showed that all items except two items in the PK were significant. Retentions of all items in CK was higher than needs, needs of all items in TK, TCK, TPK and TPACK was higher than retentions, PK and PCK were mixed. Thirdly, based on the analysis of Borich's educational needs and the Locus for Focus model, teacher education on TPACK for mathematics teachers needs to focus on TPACK, TK, TCK, and TPK. Specifically, TPACK needs to combine technology in terms of creativity-convergence, mathematical connections, communication, improvement of evaluation quality, and TK needs to new technology acquisition, function of utilizing technology, troubleshoot problems with technology, TCK needs to mathematical value(esthetic, practical) with technology, and TPK needs to consider technology in terms of evaluation methods, teaching and learning methods, improvement of pedagogy. Therefore, when determining the direction of teacher education related to TPACK in the future, if they try to reflect these items in detail, the teachers could participate more actively and receive practical help.

Designing Mathematics Curriculum Focusing on Continuity of Kindergarten and First Grade (유치원과 초등 1학년의 연계성을 강조한 수학과 교육과정의 구성 방안 연구)

  • Chang, Hyewon
    • Journal of Educational Research in Mathematics
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    • v.25 no.4
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    • pp.631-655
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    • 2015
  • Children's early mathematics education sets the tone for their later learning of mathematics. So the importance of early mathematics education has been emphasized day by day and there has been growing interest in it. The purpose of this study is to examine the possibility of including standards for kindergarten in mathematics curriculum and to select the specific content knowledge for designing mathematics curriculum focusing on continuity of kindergarten and first grade. To do this, continuity between kindergarten mathematics and the first grade mathematics were examined by investigating the five countries' mathematics curricula which include kindergarten level. Based on the results, the content standards of kindergarten mathematics were constituted in the categories of 'number and operation', 'geometry', 'measurement', 'pattern', and 'data and chance', following the some principles of selection. Finally, the implications for attainment of continuity between kindergarten and elementary mathematics were induced, containing the discussion of the methods for teaching and learning mathematics in the kindergarten level.

What Feminist Mathematics Education tells to South Korea?

  • Kim, Rina
    • Research in Mathematical Education
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    • v.22 no.4
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    • pp.245-259
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    • 2019
  • I examine the discussions of studies related to feminist mathematics education and the implications of mathematics education in South Korea. In particular, I attempt to answer the following questions through literature reviews on feminist mathematics: What is the epistemological background of feminist mathematics education? How is feminist mathematics education defined and implemented? What does feminist mathematics education suggest in South Korea's mathematics curriculum? From the analysis of the literatures, I found that feminist mathematics education reflects not just the rights of female's rights but also a paradigm shift in epistemology of mathematics and philosophy of mathematics education. In this regard, feminist mathematics questions the existing mathematics education related to the female students who were marginalized in the composition and delivery of mathematics. Feminist mathematics education points out that in the course of the transfer of mathematical knowledge in schools, female students understand unilateral information procedurally without understanding the concept. Mathematics educators should consider alternative curricula that reflect the views of female students regarding the nature of mathematics. Students should be able to receive equal mathematics education in a school regardless of their gender. In this case, equal mathematics education refers to education methods that are suitable for both male and female students. The existing mathematics content and its teaching methods were designed based on the learning experiences of male students, which made them relatively difficult for female students to understand.

An Analysis of Content Validity of Third-Grade Mathematics Achievement Tests (학업 성취도 평가도구의 내용 타당도 분석 - 수학과 3-가를 중심으로-)

  • Kim, Eun-Ah;Kang, Wan
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.177-196
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    • 2010
  • The purpose of this study is to find out whether Achievement Tests are fully performing their role as an objective standard that measures student's educational achievement level by analysing the content validity of Achievement Tests developed by KICE and teachers at elementary school. In the study, the content validity of achievement tests were analyzed in the behavioral content objective dimensions. 60 instructional objectives from the Unit one to the Unit six contained in the teachers' guidebook for the elementary third-grade Math subject were analyzed into dimensions of behavior and content. And the Achievement Test developed by KICE and teachers in five elementary schools randomly chosen were collected and analyzed. Then, differences of the proportion between instructional objectives and evaluative objectives in each dimension statistically were verified. The results of the study are as follows : 1. In the dimension of behavior, as analysing and comparing the content validity of achievement tests, there was no significant difference in all domains(knowledge, comprehension, application, analysis, synthesis and evaluation). (p<.05) Therefore, it could be concluded that content validity of the Achievement Test is very high. 2. In the dimension of content, similarly there is no significant difference in all domains between achievement tests by both KICE and teachers. (p<.05) Therefore, the content validity of all tests are very high. In conclusion, it could be concluded that content validity of achievement tests is considerably high in content and behavior dimension. The study suggest the followings : 1. By expanding to the other subjects, there are needs to analyze and verify the content validity of achievement tests. 2. Even the content validity of achievement tests is considerably high however, achievement items are focused on evaluation 3 domains(knowledge, comprehension, application). Therefore evaluation evenly among 6 cognitive domains is required. And further to reduce the deviation of schools, there are needs to active interchange between teachers.

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A Study on Gendered Portrayals in Children's Picture Books with Mathematical Content

  • Ladd, Patricia R.
    • International Journal of Knowledge Content Development & Technology
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    • v.1 no.2
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    • pp.5-14
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    • 2011
  • This study analyzes sexism in children's picture books that incorporate mathematical problems and problem-solving into the plot to determine if children's earliest reading material is affecting the achievement gap between males and females in this subject area. The study focused not just on overall totals of male and female characters, but also analyzed which genders most often portrayed gender stereotyped behaviors and personality traits and which characters were most often shown with mathematical skills. The findings of the study show that there were twice as many male as female characters, and the math problem-solving was generally done by males in the majority of titles.

Study on the Experiences of Preservice Teacher in Early Childhood Education on Learning Content in English (예비유아교사의 영어 전공수업 경험에 관한 연구)

  • Ahn, Hyo-Jin;Kim, Eun-Hyun
    • Korean Journal of Human Ecology
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    • v.21 no.4
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    • pp.629-647
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    • 2012
  • This study explored what Korean college students, especially preservice teacher in early childhood education, experienced and how they constructed the meanings of experiences about their subject- matter course (early childhood mathematics education) taught in English. One cohort- 20 senior students- majoring in early childhood education in a 4-year university was participated in this study. Using action research method and narrative research method, data were analyzed. The findings were as follows: 1) preservice teacher experienced some difficulties to construrct professional knowledge through English. 2) They challenged to overcome these difficulties through active participation. 3) They got supports from instructor and peer group. 4) They accomplished the course with self-satisfaction. 5) They experienced the conflicts between social requirements and personal needs.

Directions for Future Research for Introducing Computer Technology into Mathematics Eduction (컴퓨터공학의 도입을 위한 수학교육연구의 방향)

  • 조완영;권성룡
    • The Mathematical Education
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    • v.39 no.2
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    • pp.179-186
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    • 2000
  • Although computer technology has a great potential for improving mathematics learning practice, it rarely used in mathematics classroom. The purpose of this study is to suggest the future direction for research in mathematics computer technology. First, there has to be a research on mathematics curriculum that take computer technology into account. Second, research on teaching sequence for certain content area is needed. Because computer technology would change the order of teaching sequence. Third, how students would learn with computer technology? how do they acquire knowledge and make sense of it? Fourth, how could we assess the learning with computer technology? Most of all, because teachers play a key role to succeed in educational reform, they have to be familiar with computer technology and software to introduce it into mathematics learning and to use it properly.

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