• Title/Summary/Keyword: mathematical competency

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Effect of teaching practicum for pre-service mathematics teachers' perception changes about teacher's knowledge (학교현장실습이 중등 예비수학교사들의 교사의 지식에 대한 인식 변화에 미친 영향)

  • Shim, Sang Kil;Lee, Kang Sup
    • The Mathematical Education
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    • v.54 no.4
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    • pp.351-363
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    • 2015
  • In this study, 45 pre-service mathematics teachers were surveyed about how the perception of knowledge through teaching practicum have changed and how the knowledge learned in college and teaching practicum helped to format teachers' knowledge and analyzed survey's result. Pre-service mathematics teachers felt the knowledge for understanding students were needed the most and considered the experiences from teaching practicum were more useful than the knowledge learned from college classes. However, they had low appreciations on connecting knowledge on learned contents with real-life or other subjects and on necessity of knowledge of using various learning tools or mathematical materials in class. Also, they have answered the knowledges from college classes and teaching practicum were useless in those areas. Especially, they pointed out that guidance teachers during teaching practicum were insufficient in instructing. Therefore, we suggest the following two to improve the teaching ability of pre-service mathematics teachers through teaching practicum. First, college and secondary school cooperating programs such as class-observation and student-mentor system connected with local society should be developed. Second, the special re-training program for guidance teachers of teaching practicum is needed.

A Study on Mathematical Literacy as a Basic Literacy in the Curriculum (교육과정에서 기초소양으로써 수리 소양에 관한 연구)

  • Park, Soomin
    • Communications of Mathematical Education
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    • v.37 no.3
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    • pp.349-368
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    • 2023
  • The revised 2022 educational curriculum highlighted the significance of mathematical literacy as a foundational competency that can be cultivated through the learning of various subjects, along with language proficiency and digital literacy. However, due to the lack of a precise definition for mathematical literacy, there exists a challenge in systematically implementing it across all subjects in the educational curriculum. The aim of this study is to clarify the definition of mathematical literacy in the curriculum through a literature review and to analyze the application patterns of mathematical literacy in other subjects so that mathematical literacy can be systematically applied as a basic literacy in Korea's curriculum. To achieve this, the study first clarifies and categorizes the meaning of mathematical literacy through a comparative analysis of terms such as numeracy and mathematical competence via a literature review. Subsequently, the study compares the categories of mathematical literacy identified in both domestic and international educational curricula and analyzes the application of mathematical literacy in the education curriculum of New South Wales (NSW), Australia, where mathematical literacy is reflected in the achievement standards across various subjects. It is expected that understanding each property by subdividing the meaning of mathematical literacy and examining the application modality to the curriculum will help construct a curriculum that reflects mathematical literacy in subjects other than mathematics.

Insights from edTPA in the United States on assessing professional competencies of preservice mathematics teachers (미국 edTPA 평가에서 요구하는 예비 수학 교사의 전문적 역량 분석)

  • Kwon, Oh Nam;Kwon, Minsung;Lim, Brian S.;Mun, Jin;Jung, Won;Cho, Hangyun;Lee, Kyungwon
    • The Mathematical Education
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    • v.62 no.2
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    • pp.211-236
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    • 2023
  • The purpose of this study is to derive implications of preservice mathematics teacher education in Korea by analyzing the case of edTPA used in the preservice teacher training process in the United States. Recently, there has been a growing interest in promoting professional competencies considering not only the cognitive dimension related to knowledge development of preservice mathematics teachers but also the situational dimension considering reality in the classroom. The edTPA in the United States is a performance-based assessment based on lessons conducted by preservice teachers at school. This study analyzes the professional competencies required of preservice mathematics teachers by analyzing handbooks that described the case of edTPA in which preservice mathematics teachers in the United States participate. The edTPA includes planning, instruction, and assessment tasks, and continuous tasks are performed in connection with classes. Thus, the analysis is conducted on the points of linkage between the description of evaluation items and criteria in the planning, instruction, and assessment tasks, as well as the professional competencies required from that linkage. As a result of analyzing the edTPA handbooks, the professional competencies required of preservice mathematics teachers in the edTPA assessment were the competency to focus on and implement specific mathematics lessons, the competency to reflectively understand the implementation and assessment of specific mathematics lessons, and the competency to make a progressive determination of students' achievement related to their learning and their uses of language and representations. The results of this analysis can be used as constructs for competencies that can be assessed in the preservice in the organization of the preservice mathematics teacher curriculum and practice training semester system in Korea.

An analysis of domestic research trends of mathematics curriculum research through topic modeling: Focused on domestic journals published from 1997 to 2019 (토픽모델링을 활용한 국내 수학과 교육과정 연구 동향 분석 : 1997년부터 2019년까지 게재된 국내 수학교육 학술지 논문을 중심으로)

  • Son, Taekwon;Lee, Kwangho
    • The Mathematical Education
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    • v.59 no.3
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    • pp.201-216
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    • 2020
  • This study analyzed 493 domestic mathematics curriculum articles published in KCI's listings from 1997 to 2019 using LDA topic modeling. As a result, domestic mathematics curriculum research could be categorized into eight topics such as 'context in a curriculum', 'analysis a curriculum by the mathematical concept', 'form, system, meaning, and character of a curriculum', 'instruction and application of a curriculum', 'implementation and evaluation of a curriculum', 'tasks in a curriculum', 'analysis of a curriculum based on ability', 'compare and analysis curriculum and textbook'. The topic 'implementation and evaluation of a curriculum' was identified with the lowest proportion. Also, we performed the simple regression analysis with the weight of topics in the application period of the curriculum, and 'analysis of a curriculum based on ability' appeared as a 'hot topic'. Furthermore, topics appeared differently depending on the application period of the curriculum. Some of the appeared topics showed a tendency to match the emphasis of the highlight in a mathematics curriculum. Based on the results, future studies should develop frameworks for mathematics curriculum studies and extend the field of mathematical curriculum studies to make progress. Furthermore, future studies are needed to examine the enactment, feedback, and competency evaluation in the mathematical curriculum.

Analysis of the issues derived from the implementation of the 2015 revised mathematics curriculum in 1st and 2nd grade (2015 개정 수학과 교육과정 초등학교 1~2학년 적용에서의 쟁점 분석)

  • Kim, Seong-Kyeong;Oh, Taek-Keun
    • The Mathematical Education
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    • v.58 no.2
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    • pp.263-282
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    • 2019
  • The purpose of this study is to analyze the implementation of 2015 revised mathematics curriculum. This study focused on issues raised from the implementation. The teaching-learning methods for enhancing mathematical competencies, the amount and difficulty of mathematics in the 1st and 2nd grade, the level of vocabulary and sentence for students in the textbooks, and the support for successful implementation of the curriculum were collected and analyzed through questionnaires and interviews. As a result of the research, most of the teachers tried to improve the teaching and learning method considering mathematical competencies, but had difficulty in connecting contents and competencies. They also recognized that the amount and difficulty in the 1st and 2nd grade math, and the level of vocabulary and sentences presented in math textbooks were generally appropriate. However, they pointed out that the textbooks were over-emphasized in various ways out of basic calculation methods, and that the long sentences, which are not easy to read and understand by students who are not familiar with reading Korean, are included in the . They recognised that there is a large difference in level of reading Korean and understanding math among students. So we suggest that more active support is needed for the students who are learning slowly and the students who are having difficulty in reading Korean.

Mathematics education experts' perception of information literacy in mathematics education (정보 리터러시에 대한 수학교육 전문가들의 인식 분석)

  • Kim, Eun Hyun;Kim, Rae Young
    • The Mathematical Education
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    • v.61 no.3
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    • pp.397-417
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    • 2022
  • The purpose of this study is to discuss information literacy in mathematics education by comparatively analyzing mathematics education experts' perception of information processing and information literacy in mathematics education. We collected mathematics education experts' opinions using the modified Delphi method and focus group interviews, then analyzed their responses with an analytic framework through a constant comparative method. Even though we used different methods, we could compare their perceptions under the common themes. The findings are in three-folds. First, most experts focused only on the use of technological tools or statistics as a way of developing information literacy. In addition, even though mathematics education experts recognize the need for information literacy in mathematics education, their definition and meaning of information literacy somehow varied. Secondly, teachers as practitioners emphasized social competency which could be developed through information literacy. Thirdly, they asked for concrete and systematic plans for school practice in order to well develop information literacy in schools. Even though there were some differences in their perception of information literacy in mathematics education in terms of their prior experiences and background, it is very meaningful that there were commonalities among their perceptions which would allow us to find the ways of developing information literacy in mathematics education.

Research Trends in Elementary Mathematics Education: Focused on the Papers Published in Domestic Journals During the Resent Seven Years (초등수학교육 연구동향: 최근 7년간 게재된 국내 학술지 논문을 중심으로)

  • Kim, YuKyung;Pang, JeongSuk
    • Education of Primary School Mathematics
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    • v.20 no.1
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    • pp.19-36
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    • 2017
  • The purpose of this study was to analyze the research trends of elementary mathematics education in terms of topics, methods, subjects, mathematics content strands, and mathematical competencies. For this purpose, a total of 596 papers published in eight domestic journals during the recent seven years were analyzed. The results of this study showed that the popular research topics included learners' perspectives and abilities, analysis of curriculum and textbooks, and instruction and teaching methods, whereas studies on assessment and technology or manipulative materials did not get much attention. The results also showed that qualitative research methodology was used a lot with focus on students. The mathematics content strand which was most frequently studied was number and operations, and problem solving was most popular among the mathematical competencies. On the basis of these results, this paper includes several implications for the future research direction in elementary mathematics education.

A Study on the Relationships between College Students' NCS Basic Capability Group and Career Preparation Behavior : Focused on Communication Capability and Mathematical Capability (전문대학생의 NCS기초능력군과 진로준비행동과의 관계에 관한 연구 : 의사소통능력과 수리능력을 중심으로)

  • Sung, Haengnam;Cho, Donghwan
    • Journal of Korea Society of Digital Industry and Information Management
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    • v.15 no.2
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    • pp.71-85
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    • 2019
  • The importance of the NCS(National Competitiveness Standards) is growing as the job market shrinks and more institutions require hiring based on NCS. Of the ten domains of NCS', the most relevant one with the performance of all tasks is basic capability group. The purpose of this study is to investigate the effect of college students' basic capability group(communication capability, mathematical capability) on their career preparation behavior. In this study, we set up a process model to comprehend the effect of college students' basic capability group on career preparation behavior based on social cognitive career theory. For research model testing, 561 questionnaires were used for empirical analysis through structural equations modeling. Empirical analysis showed that communication capability positively influenced college students' career preparation behaviors for employment. But, mathematical capability don't influenced college students' career preparation behaviors for employment. Next, career self-efficacy and career outcome expectation each positively influenced college students' career preparation behaviors for employment. Also, interest in the major positively influenced college students' career preparation behaviors for employment. The academic implications are as follows: Career self-efficacy and interest in the major were important factors in the communication capability. The process of communication capability affecting career preparation behavior and interest in the major was explained through social cognitive career theory and self-efficacy. The practical implications are as follows: Administrative assistance should be provided to improve the career self-efficacy of college students.

A Case Study on the Development of a Task with Emphasis on Mathematical Connectivity in Pre-Teacher Education (예비교사교육에서 수학적 연결성을 강조한 과제 개발 사례연구)

  • Kang, Hyangim
    • Communications of Mathematical Education
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    • v.33 no.2
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    • pp.85-104
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    • 2019
  • The purpose of this study is to analyze the tasks developed through task development activities with emphasis on mathematical connectivity, and to provide implications for teacher education to enhance teacher's competence. For this purpose, I analyzed the task developed by 52 pre-teachers through the activities. As a result, they combined mathematics with 'other subjects', 'mathematics', 'phenomenon', 'technology' and 'real life'. And they also made various internal connections of 'Different representation', 'Part-whole relationship', 'Implication', 'Procedure', and 'Instruction-oriented connection'. From the point of view of teacher knowledge, the study revealed that CCK and SCK were positive in terms of 'logical' and 'expression', and KCT as 'strategic' was meaningful but disappointing in diversity; however in terms of 'level', the KCS was limited due to tasks that did not meet the level of students. As such, this analysis reveals that teachers continue to struggle with understanding students' level, but exhibit little difficulty with 'logic', 'expression' and 'strategy. This being the case, teacher education needs to place additional emphasis in understanding students' levels and planning corresponding activities.

A Study of Criteria for Self-Assessment of Lesson Planning and Teaching Performance (수업 설계 및 실연의 자기평가 기준에 대한 고찰)

  • Kim, Sohyung;Kim, Yongseok;Han, Sunyoung
    • The Mathematical Education
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    • v.55 no.2
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    • pp.171-192
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    • 2016
  • As teachers' competency is evaluated based on their teaching performance. pre-service teachers need to have an opportunity to reflect on themselves by systematically analyzing and evaluating their own lesson planning and teaching performance through self-assessment. In this study, we aimed to examine what evaluation criteria for lesson planning and teaching performance pre-service mathematics teachers consider in the process of self-assessment. This study used a mixed-methods research design. To draw the self-evaluation criteria for lesson planning and teaching performance, pre-service self-reported assessments were analyzed using qualitative analyses. In addition, descriptive statistics were used to investigate the pre-service teachers' distribution across the criteria and check the ratio of pre-service mathematics teachers for each element. As a result, it was disclosed that pre-service mathematics teachers considered eight elements in self evaluating their own lesson planning and teaching performance. In addition, we found that pre-service mathematics teachers tended to consider Pedagogical Content Knowledge (PCK) more than Subject-Matter Knowledge (SMK). Moreover, the results of this study provide educational implications for the curriculum in the pre-service teacher's education program.