• Title/Summary/Keyword: education for future mathematics teachers

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How Do Korean and U.S. Elementary Preservice Teachers Analyze Students' Addition and Subtraction Computational Strategies and Errors? (한국과 미국 예비 초등교사는 자연수 덧셈과 뺄셈 연산에 대한 학생의 수학적 전략과 오류를 어떻게 분석하는가?)

  • Hyungmi Cho;Hea-jin Lee;Gima Lee;Hee-jeong Kim
    • Journal of the Korean School Mathematics Society
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    • v.25 no.4
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    • pp.423-446
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    • 2022
  • This study explores and compares Korean and U.S. elementary preservice teachers' analytic approaches of students' addition and subtraction computational strategies. Twenty-six Korean and twenty U.S. elementary preservice teachers participated in the study. Participants were asked to analyze mathematical approaches and errors from students' addition and subtraction operations. Preservice teachers' written documents were analyzed by applying open coding and inductive coding based on the grounded theory. As a result, the pattern of error analysis and interpretation of students' addition computations were similar for both Korean and U.S. preservice teachers whereas there were some differences in the analysis of students' subtraction computations. Both Korean and U.S. preservice teachers had difficulties identifying students' strategies and errors for a complicated and unconventional computational approach. Results also indicated that preservice teachers' noticing and interpretation of students' strategies and errors were influenced by their K-12 mathematics curriculum and teacher education program. This study suggests implications and future directions for teacher education, more contextualized teacher preparation programs and balanced connection to the K-12 curriculum.

A Comparative Study of School Mathematics Terminology in Korean, Chinese and Japanese (한국, 중국, 일본의 학교 수학 용어 비교 연구)

  • Park Kyung Mee
    • The Mathematical Education
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    • v.43 no.4
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    • pp.337-347
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    • 2004
  • Korea and China have maintained close relationships since the ancient times along with Japan, which also shares the common Chinese culture. The three major players in Northeast Asia have been recognizing their increasing importance in politics, economy, society, and culture. Considering those relationships among the three countries, it's necessary to compare and investigate their mathematics terminology. The purpose of this study is to investigate the similarities and differences between the terminology of school mathematics in Korean, Chinese and Japanese. The mathematics terms included in the junior high school of Korea were selected, and the corresponding terms in Chinese and Japanese were identified. Among 133 Korean terms, 72 were shared by three countries, 9 Korean terms were common with China, and the remaining 52 Korean terms were the same as Japanese terms. Korea had more common terms with Japan than China, which can be explained by the influences of the Japanese education during its rule of Korea in the past. The survey with 14 terms which show the discrepancy among 3 countries were conducted for in-service teachers and pre-service teachers. According to the result of the survey, preferred mathematics terms are different from one group to the other, yet the Korean mathematics terms were more preferred in general. However some terms in Chinese and Japanese were favored in certain degree. This result may provide meaningful implications to revise the school mathematics terms in the future.

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Analysis on Features of Prospective Mathematics Teachers' Motivation in Learning Mathematics (예비 수학교사의 수학 학습동기 특징 분석)

  • Lee, Jong-hak;Kim, Somin
    • Journal of the Korean School Mathematics Society
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    • v.23 no.4
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    • pp.491-508
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    • 2020
  • In this study, by measuring and analyzing the motivation of prospective mathematics teachers in learning mathematics, we tried to understand the features of prospective teachers' learning motivation and find the implications of developing expertise in terms of learning motivation. Prior research related to learning motivation identifies the three elements that consist of learning motivation as values, self-efficacy, and interest. Based on these elements, a survey tool was developed to investigate the learning motivation of prospective mathematics teachers. This survey was then carried out for 120 students in the mathematics education department of a local college. In addition, the survey asked what methods prospective teachers would choose for motivating their future students. According to the results of this study, the overall motivation of prospective mathematics teachers differed by grade (academic year) and there were significant differences between grades in self-efficacy and interest factors. In addition, the prospective teachers preferred to use interesting materials rather than inform the value of learning mathematics to induce learning motivation. Therefore, it is necessary to enhance this self-efficacy and interest in learning and to provide various material to strengthen this motivation for learning.

The difference in the Relational understanding of the mathematics curriculum and the search for a better direction in mathematics education. (수학교과에서 관계적 이해의 인식에 대한 실태 분석 및 수학교육의 개선 방향 탐색)

  • 류근행
    • Journal of the Korean School Mathematics Society
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    • v.6 no.1
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    • pp.135-161
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    • 2003
  • This research is how students and teacher apprehend mathematics education, pointing out problem areas as a basis on how to improve students understanding of mathematics through improved guidance by teachers in the future. 1107 high school students and 105 teachers from around Daejeon and Choongnam province were surveyed and the results were as follows. 1. 77 %( 852) of students viewed the "application of problem solving methods" as understanding mathematic problems. 2. Replies to the question on understanding the study of mathematics resulted in 85.7% of teachers saying "it is the understanding of the basic concept to which you solve the problems" 3. For questions relating to the large difference in-class mathematics achievements and mock University entrance exam achievements, students' response that "for in-class tests you only have to learn problems with similar form but the mock tests are not like that" pointed out the problem in the area of mathematics education. 4. For future mathematic education teachers will have to "explain better and more completely the basic principles and concepts before solving problems" , and make an effort to stimulate students by "creating a more fun atmosphere" . There will also be the need to prevent as much as possible, the use of "formula or memory driven problems" and encourage students to initiate problem solving for themselves.; and encourage students to initiate problem solving for themselves.

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A basic research for the development of Korean mathematics education standards for the next generation (미래세대 수학교육표준 개발을 위한 기초 연구)

  • Kwon, Oh Nam;Kim, Young Rock;Ko, Ho Kyoung;Rim, Haemee;Park, Jung Sook;Park, Jee Hyun;Park, Soomin;Lee, Kyungwon;Park, Jin Hee
    • The Mathematical Education
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    • v.61 no.1
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    • pp.199-220
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    • 2022
  • This study aims to elicit the vision of the future human being and mathematical competencies that next generation should pursue to be nurtured through mathematics education as regarding the need for a national mid-term to long-term mathematics education standard for nurturing learners that can accommodate changes in the future society is emerging. The research team established the criterion for domains of mathematical competencies through the analysis of prior research, and then, refined three dimensions of mathematical competencies and the domains of each dimension through expert advice (9 people in total, 3 times) and focus group interviews (10 people in total, 4 times). After conducting a large-scale survey (295 people in total) which includes elementary and secondary teachers, professors, and researchers, etc., the vision of the future human being and mathematical competencies were elicited. In order to utilize the vision of the future human being and mathematical competencies, five stages of research on the development and utilization of mathematics education standards were proposed. Cooperating with related organizations, securing the research project period and expanding the scope of research team composition, and providing web-based documentation of mathematics education standards will be needed for the follow-up studies.

Analysis of Pre-Service Teachers' Interpretation and Utilization of Non-Textual Elements in Mathematics Curriculum Materials

  • Lee, Ji-Eun;Ligocki, Danielle
    • Research in Mathematical Education
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    • v.23 no.4
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    • pp.181-217
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    • 2020
  • This study explores how pre-service teachers (PSTs) view, interpret, and utilize non-textual elements (NTEs) in mathematics curriculum. Fifty-two PSTs, who enrolled in a mathematics methods course at a Midwestern university in the U.S., engaged in a three-part task that consisted of evaluations and modifications of NTEs in the sample mathematics curriculum materials. We ascertain what PSTs consider to be the strengths and weaknesses of NTEs, how they define the primary goals of NTEs, and how they would work to modify or adapt existing NTEs with effective teaching in mind. By using the Curricular Noticing Framework, we can better understand how PSTs recognize opportunities within mathematics curriculum and gain a deeper understanding regarding how PSTs' prior experiences may affect their curricular-attending habits, which has consequences for their future teaching. Findings indicate that PSTs understand NTEs to be simply a support for traditional mathematics curriculum, rather than tools on their own. Also, they tend to prefer NTEs that are familiar to them. From our findings, we draw implications for teacher educators who support PSTs' interpretation and utilization of NTEs.

Research Trends in STEAM Education: Focused on Mathematics (융합교육(STEAM) 연구 동향 분석: 수학 교과를 중심으로)

  • Shin, Dongjo
    • East Asian mathematical journal
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    • v.39 no.4
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    • pp.393-417
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    • 2023
  • STEAM education, which was introduced to address many of the issues raised in science and technology education, has had a profound impact on the field of education over the past 13 years. This study aims to systematically analyze the research trends of STEAM education integrated with mathematics from 2010 to 2022 and to provide implications for future STEAM education. To this end, 89 articles published in domestic KCI journals were collected and analyzed. The results showed that more than half of the STEAM studies were related to the development and application of STEAM programs. The next most frequent studies were related to current state and improvement oaf STEAM education, followed by curriculum and textbook analysis, and by teacher education and teacher competencies. Students' and teachers' perceptions and attitudes toward STEAM education were addressed in only a few papers.

Performing an Instructional Simulation Using a Socrates' Method by the Connection of In-Service Teachers Education and Pre-Service Teachers Education (현직교사 교육과 예비교사 교육의 연계를 통한 산파법 관점에서의 모의수업 실행 사례)

  • Kim, Nam Hee
    • Journal of Educational Research in Mathematics
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    • v.26 no.3
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    • pp.509-525
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    • 2016
  • This study is a follow-up study of the previous research for teacher education(Kim Nam Hee, 2006, 2009, 2013, 2014). This study was conducted with third grade students of the college of education in 2016. In this study, we guided to allow pre-service teachers to develop their teaching research ability and teaching practical skills using the results obtained from the in-service teachers training courses. Processes mainly performed in this study are as follows; learning the theory on Socrates' method, case study for thought experiment activities, instructional simulation using a Socrates' method, class analysis, textbook analysis, peer evaluation, self-assessment. Observing tutorial examples by in-service teachers, pre-service teachers were expanding their limited knowledge and experience. By analyzing the results obtained from this research processes, we checked the points to put more attention in future pre-service teachers education.

A Study on Development and Utilization of the Mathematical Teaching Materials for the Whole Man Education -For the 3rd Graders in High School after the Scholastic Ability Test- (전인 교육을 위한 수학 학습 자료 개발.활용에 관한 연구 -대학수학능력시험 이후 고등학교 3학년을 대상으로-)

  • 이종연
    • School Mathematics
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    • v.3 no.2
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    • pp.249-265
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    • 2001
  • In this information-oriented society of the 21st century, our education should combine the knowledge from the past and present in order to have students be ready to solve “the problems in the future”. But nowadays, our social situation makes much importance of the “cramming” education just for the College Scholastic Ability Test rather than the “whole man” education for making creative citizens of the future society. So does mathematics education. In a high school, mathematics education should be toward these aims: recognizing the value of math, applying mathematical principles to actual lives, promoting students' thinking ability. Also, it should focus on teaching higher level of mathematical knowledge which includes more logical and abstract idea so that students can prepare for the global society of the future. This study is about development and utilization of the teaching materials for mathematics class which usually deviates from the routine right after the Scholastic Ability Test finished. These materials are the result of a complete survey of the 3rd graders and their teachers and designed to use for 30 periods of class from after-the-test-finished to graduation. The materials consist of a history of mathematics, puzzles, magic number squares, and so on. Remarkably different from the current textbooks which deal with sets, equations, functions, these materials proved to be useful for their variety and attraction. Consequently, the materials are considered to keep the 3rd graders from forgetting mathematics even after the Scholastic Ability Test, and to help them recognize that mathematics is a kind of basic and cultural study and a tool of daily lives.

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The Voice of Mathematics Teacher Guides from Their Use of Pronouns, Modality, and Imperatives

  • Suh, Heejoo
    • Research in Mathematical Education
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    • v.22 no.3
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    • pp.223-243
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    • 2019
  • Researchers have been attending to the potential of curriculum materials as resources for professional development. In order for a curriculum material to fulfil such purpose, curriculum authors should intentionally attend to educativeness of the material. A feature of educative material is that its voice speaks to teachers. In this study, I explore educativeness of Algebra teacher guides by attending to their voice. In particular, I focused on the use of pronouns, modality, and imperatives. Findings indicate that some teacher guides have more educative voice than the others and that the amount each guide talk to teachers were less than sufficient. Implications for future research and practice are discussed.