• 제목/요약/키워드: 수학/통계 내용분석

검색결과 78건 처리시간 0.019초

Exploration of Teacher Questions and Discourse Types in Chinese Mathematics Classrooms (중국 수학 교실에서 교사 발문과 담화 유형에 대한 탐색)

  • Liu, Wentin
    • Communications of Mathematical Education
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    • 제36권4호
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    • pp.487-509
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    • 2022
  • The purpose of this study is to analyze classroom discourse in the math classroom of middle school in China, which has a unique math classroom background of entrance examination for high school. To this end, this study analyzed teacher question statistics and episodes by teacher question type as starting speech in mathematics classroom discourse, and five IRF subtypes were especially identified by class discourse structure analysis. The data were analyzed focusing on a total of 15 transcripts of math classes recorded by three math teachers at H School in Guiyang, Guizhou Province, China, and written interviews of teachers. According to the results of this study, an average of 20 teacher questions were observed for each class, and the teacher question type was classified into confirmation question (understanding confirmation question, explanation request question, and double check question) and information question (information presentation question). In addition, according to classroom discourse analysis, the IRF discourse structure was divided into fragmentary evaluation, evaluation+reason, evidence of explanation, evaluation+student response re-statement, guidance on other thoughts or solutions, and student answer correction or teacher opinion presentation.

Analysis on Statistical Problem Solving Process of Pre-service Mathematics Teachers: Focus on the Result Interpretation Stage (예비 수학교사들의 통계적 문제해결 과정 분석: 결과 해석 단계를 중심으로)

  • Kim, Sohyung;Han, Sunyoung
    • Communications of Mathematical Education
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    • 제36권4호
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    • pp.535-558
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    • 2022
  • In the current society, where statistical literacy is recognized as an important ability, statistical education utilizing the statistical problem solving, a series of processes for performing statistics, is required. The result interpretation stage is especially important because many forms of statistics we encounter in our daily lives are the information from the analysis results. In this study, data on private education were provided to pre-service mathematics teachers, and a project was carried out in which they could experience a statistical problem solving process using the population mean estimation. Therefore, this study analyzed the characteristics shown by pre-service mathematics teachers during the result interpretation stage. First, many pre-service mathematics teachers interpreted results based on the data, but the inference was found to be a level of 2 which is not reasonable. Second, pre-service mathematics teachers in this study made various kinds of decisions related to public education, such as improving classes and after-school classes. In addition, the pre-service mathematics teachers in this study seem to have made decisions based on statistical analysis results, but they made general decisions that teachers could make, rather than specifically. Third, the pre-service mathematics teachers of this study were reflective about the question formulation stage, organizing & reducing data stage, and the result interpretation stage, but no one was reflective about the result interpretation stage.

An Analysis of South Korean Elementary Teachers' Knowledge regarding Educational Theory in Mathematics (초등학교 교사의 수학과 교수·학습 관련 이론에 대한 지식 분석)

  • Kim, Rina
    • Journal of Elementary Mathematics Education in Korea
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    • 제19권1호
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    • pp.39-56
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    • 2015
  • The aim of the study presented in this paper was to explore South Korean elementary teachers' knowledge regarding educational theory in mathematics. An independent t-test and ANOVA are applied to examine elementary teachers' knowledge regarding educational theory in mathematics. Findings of this study suggest that there is a negative correlation between the teachers' knowledge regarding educational theory in mathematics and their teaching experiences as well as the teacher certification level. However, there is a little affect of the teachers' gender and educational backgrounds on the teachers' knowledge regarding educational theory in mathematics. The results of this quantitative study may broaden our understanding of the South Korean elementary teachers' knowledge for teaching mathematics, which have a deep impact on their teaching practice.

The Effects of Mathematics-Centered STEAM Program on Mathematical Modeling Ability of First Grade Students in Middle School (수학교과 중심의 STEAM 수업 경험이 중학교 1학년 학생들의 수학적 모델링 능력에 미치는 영향)

  • Kim, Mikyung;Han, Hyesook
    • Communications of Mathematical Education
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    • 제35권3호
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    • pp.295-322
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    • 2021
  • This study was conducted for one semester through one group pretest-posttest design with 49 first-year middle school students to explore the effects of mathematics-centered STEAM class experiences on students' mathematical modeling abilities. The main results of this study are as follows: First, the results of the pre and post-mathematical modeling ability tests showed that the average score of posttest was improved compared to the pretest, and that the experiences of mathematics-centered STEAM classes provided in this study had a positive effect on improving the mathematical modeling ability of first-year middle school students. Second, STEAM classes were more effective in solving mathematical modeling problems that require students' creative and divergent thinking. Third, the content analysis of student responses for each subquestion showed that STEAM classes were especially more helpful in activating students' mathematical model construction and validating steps.

An Analysis of Cohesion and Word Information among English CSAT Question Types (수능 영어 문항 유형간 응집력과 어휘정보 분석)

  • Choi, Minju;Kim, Jeong-ryeol
    • The Journal of the Korea Contents Association
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    • 제17권12호
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    • pp.378-385
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    • 2017
  • The aim of this study was to analyze cohesion and word information among different types of questions in the English reading section of the College Scholastic Ability Tests (CSAT). The types of questions were divided into three categories: macro reading, micro reading, and indirect writing. Reading texts from 1994 to 2017 CSAT were analyzed by Coh-Metrix, an automated evaluation program of text and discourse. The findings of this study indicated that there were statistical differences among the three categories of questions for noun overlap, stem overlap, adversative and contrastive connective, additive connective, pronoun incidence, age of acquisition, concreteness for content word, imagability, and meaningfulness. The information of the findings bore pedagogic implications for developing textbooks, questions for CSAT, and reading strategies by students.

Concrete Class Plan for a Statistical Project of 5th Graders in Elementary School Using Infographics (인포그래픽을 활용한 초등학교 5학년 통계 프로젝트 수업의 구체화 방안)

  • Kim, Ji Hye;Song, Sang Hun
    • Journal of Elementary Mathematics Education in Korea
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    • 제23권1호
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    • pp.75-92
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    • 2019
  • The 2015 revised mathematics curriculum encourages students to use graphs in newspapers and the Internet as materials when teaching graphs, and to experience a series of statistical problem-solving processes that collect, classify, organize, graph and interpret data. The graphs that the students learn through traditional textbooks were a single type of graphs. In particular, the graphs of the 5th and 6th grade groups were only increased in numbers, but the basic concepts were repeated in the 3rd and 4th grades. Fortunately, from the 2009 revision curriculum, it is possible to select the graph suitable for the situation while comparing the characteristics of some graphs. In most cases, the graphs used in the real world are presented in the form of a compounded infographics. The purpose of this study is to analyze and analyze the manifestations of information processing competence elements emphasized in the 2015 revised curriculum through the statistical project class using the informal graphic in the fifth grade of elementary school. And we suggested a concrete class plan.

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An Analysis of Teaching Statistical Graphs in Elementary School Mathematics Textbooks (초등학교 수학 교과서에 나타난 통계 그래프 지도 방법 분석)

  • Lim Ji Ae;Kang Wan
    • Journal of Elementary Mathematics Education in Korea
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    • 제7권1호
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    • pp.65-86
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    • 2003
  • Mathematics textbooks are substitutive showing real characters of didactic transposition in pseudo-contextualization and pseudo-personalization. This study analyzed statistical graphs in elementary school mathematics textbooks according to the first to the 7th curriculum in Korea. It focused on the didactic principles used in those methods through those view of Didactic Transposition Theory. The features of the elementary school mathematics textbooks in Korea are investigated and described ethnomethodologically according to each curriculum periods in dividing bar graph, line graph, pictograph, graph of ratio, histogram. The teaching sequences and methods of the statistical graphs, order and methods of sub-learning activities, teaming data, matter of the learning activity indicator were summarized. Usually, the teaching sequences, excepting the graphs of ratio, statistical graphs are introduced in the second semester of each grade. The graph of ratio is introduced in the first semester of 6th grade. As a result of analysing sub-Loaming activities, using them increased from the first to the 7th curriculum and its form was fixed constructive and stable at the 4th curriculum textbooks. As a result of analysing the teaming data, the data of the social aspects are used more frequently and the data of the individual preferences trended more gradually. As a result of analysing the matter of the teaming activity indicators, concept-explanation question style were used more frequently. Statement-practice style and consideration style trended gradually. Concluding remarks are: First, the didactic transposition of the elementary school mathematics textbooks developed systematically according to the first to the 7th curriculum; Second, mathematics textbooks gradually introduced the positive learning style of activity and the learners' spontaneousness; Third, more concrete practice activities and reflective activities were variously introduced considering the level and interest of each elementary student.

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The analysis for mathematics education system, algebra curriculum and textbooks of Chinese Taipei and Korea by TIMSS 2007 results (대만과 우리나라의 수학 교육체계 및 대수 교육과정과 교과서 비교 -TIMSS 2007 결과를 중심으로-)

  • Kim, Sun-Hee;Kim, Kyeong-Hee
    • Journal for History of Mathematics
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    • 제23권4호
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    • pp.101-122
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    • 2010
  • Chinese Taipei won the first place at the mathematics achievement of TIMSS 2007. Especially, there was a significant difference in the percentage of correct answers between Chinese Taipei and Korea, and Chinese Taipei' percentage of correct answers was higher than Korea. This study compared the education system, mathematics instruction environment, and instructional activities of two countries. And for algebra, curriculum and textbooks were compared between two countries based on TIMSS 2007 framework. It was found that Chinese Taipei emphasized homework and test, and MCFL of that was low. Their textbook was formal, and induced the hasty abstraction, Also, some themes were introduced earlier than Korea and repeated across different grades.

A Study on the Curriculum Development of Statistics for University-level Program (대학과목선이수제(UP)의 통계학 표준교육과정 개발 연구)

  • Lee, Jong-Hak;Cho, Wan-Young
    • Communications of Mathematical Education
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    • 제25권4호
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    • pp.653-679
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    • 2011
  • The objective of this study is to develop university-level program(UP) 'Statistics Curriculum'. The UP program is a Korean curriculum sponsored by the Ministry of Education and Technology, which offers standardized courses to high school students that are generally recognized to be equivalent to undergraduate courses in college. In this paper we analyze that various programs are being conducted currently in Korea and overseas related with University-level Program in mathematics. And we describe course of the study, mathematical objectives of developed statistics curriculum on the study.

An Analysis on the Past Items of Probability and statistics in Secondary School Mathematics Teacher Certification Examination (수학과 중등임용 확률과 통계학 기출문항 분석)

  • Kim, Changil;Jeon, Youngju
    • Journal of the Korean School Mathematics Society
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    • 제20권4호
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    • pp.387-404
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    • 2017
  • In this paper, in the last 4 years(2014~2017 school year), we classified the probability and statistical items based on the evaluation scope of the mathematics subject content knowledge which were presented by the Korea Institute for Curriculum and Evaluation, and the classified items were analyzed. As a result, First, in order to induce normalization of the probability and statistical curriculum, four assessment field should be evenly distributed. Second, integrated thinking and comprehensive analytical thinking assessment is required. Third, item an epilogue should be used to measure mathematical thinking and logical competence. Fourth, the ratio of the number of items in probability and statistics to the number of that was 7.7%~10.0%, and the ratio according to the item weighting was 5.0%~7.5%. Fifth, it maintains the policy of stabilizing a good the level of difficulty of the items. Finally, probability and statistical assessment should focus on measuring problem solving ability from an inductive point of view.

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