• Title/Summary/Keyword: Mathematics Contents in Middle School

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Undering and its application of performance task based on the Analysis on the Mathematics Textbook (교과서 분석에 기초한 수학과 수행과제의 이해와 활용)

  • Hwang, Hye-Jeang;Hwang, Yun-Ju
    • The Mathematical Education
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    • v.44 no.1 s.108
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    • pp.15-40
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    • 2005
  • This study basically investigates the meaning and properties of performance task applicable to mathematics classroom and it finds out how to run effectively performance task activities included in the present mathematics textbooks. To accomplish this, this study deals with twelves kinds of mathematics textbooks for ninth graders and is proceeded on the basis of textbook analysis and teacher interview. Considering a situation that in future mathematics textbook would be developed, according to the analytic results of this study, common understanding of performance task and qualified performance task are needed, a variety of tasks classified by differentiated level are needed. In addition, each task should be dealt with the contents related to curious and interesting real-life situations. Furthermore, fairness of checking and recording should be established and teachers' positive attitudes to applying performance tasks to math class are needed.

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Debates on the New National Elementary Mathematics Curriculum Content (초등학교 수학과 교육과정의 내용 선정과 조직에서의 쟁점 - 2006년 개정 교육과정을 중심으로 -)

  • Han, Dae-Hee
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.3
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    • pp.633-658
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    • 2010
  • This study aimed to analyze the debate on the Elementary School Mathematics Contents in the new National Elementary Mathematics Curriculum developed in 2006. With this, the feature of the new National Mathematics Curriculum compared with the past 7th National Elementary Mathematics Curriculum was investigated. And the drafts on developing the new National Elementary Mathematics Curriculum were investigated as well. Three main controversies were identified. The first controversy was related to the item which had been dealt in middle school curriculum and moved to elementary school in the new National Mathematics Curriculum (e.g. equations, direct proportion and inverse proportion). The second one was related to the order of teaching fraction. The third one was related to the fact that problem solving became one of the five domains in Elementary School Mathematics Curriculum. Those controversies came from a basic belief on the ranges and depths of elementary school mathematics, didactical point of view, or thoughts on what should the content in the National Mathematics Curriculum be. The issues and suggestions that were discussed in this paper might serve to improve the National Mathematics Curriculum.

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The Effect on Forming Functional Concept by Teaching Function Based on Variable (변수에 의한 함수 지도가 함수개념의 형성에 미치는 효과)

  • 이덕호;길영순
    • Journal of the Korean School Mathematics Society
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    • v.4 no.1
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    • pp.103-114
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    • 2001
  • The purpose of this study is to develop learning materials for functional concept on variable and to verify the effect of how well students could learn functional concept after they studied with those materials. To accomplish the purpose of this study, I developed learning materials and after teaching students with them. I have concluded the followings : First, there was little effect in teaching functional concept on variable between two experimental groups, whereas teaching functional concept had greater effect on forming functional concept in high level groups in those two experimental groups. Second, teaching functional concept on variable had little effect on students' understanding of functional concept and perfecting tables in Black box, graph, and mathematical problems, whereas there was much effect in students' understanding functional concept and solving relation formula, image, and range problems related to everyday life or general things. On the basis of the problems which appeared in the process of this study, the following can be suggested : First, we should develop learning materials fit for low level students so that they could understand functional concept. Second, we should continue to teach the basic problems like solving relation formula, image, and range, and understanding functional concept in graph until students are able to understand them exactly. Third, since the goals of Unit Function in a middle school textbook is to solve problems related to everyday life through functional thinking, there should be change in constructing systematic contents of Unit Function in a middle school textbook.

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The analysis of interviews with two high school students from North Korea, focusing on their experiences of mathematics lessons in North and South Korea (두 탈북 고등학생의 남북한 수학수업 경험에 대한 인터뷰 분석)

  • Lee, Gi Don;Lee, Jihyun
    • Journal of the Korean School Mathematics Society
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    • v.19 no.2
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    • pp.197-215
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    • 2016
  • As the number of dislocated North Korean students is increasing, the need and interest in supporting their learning are higher. We interviewed two dislocated female North Korean students who had studied middle school mathematics in North Hamgyeong Province and finished high school in South Korea. Two participants compared their student experiences of mathematics lessons in North Korea to mathematics lessons in South Korea. There exist differences but also similarities between mathematics lessons in South and North Korea. On Based on these interviews, we discuss some implication of two students' experiences on mathematics lessons and examinations.

Exploring the Direction of Middle School Statistics Education through a Comparison of Statistical Content between China & Korea: Focused on the Revised 2022 Mathematics Curriculum (중국의 중학교 통계 교육과정 분석을 통한 통계교육 방안 탐색: 2022 개정 수학과 교육과정을 중심으로)

  • Suh, Boeuk;Rim, Haemee
    • Communications of Mathematical Education
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    • v.37 no.3
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    • pp.329-348
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    • 2023
  • This study is necessary for the stable settlement of the 2022 revised mathematics curriculum 'data and possibility' area. This study was conducted centering on literature analysis. The purpose of this study is to realize statistics education in line with the 2022 revised mathematics curriculum. This purpose was achieved by examining the statistics learning contents of the 2022 revised curriculum, analyzing Chinese mathematics curriculum, and analyzing Chinese mathematics textbooks. In this study, the following studies were conducted. First, five elements were extracted through the analysis of the 'statistics and probability' area of the Chinese mathematics curriculum. The extracted elements are the 4th grade goals, synthesis and practice content areas, achievement standards for statistics and probability (6), (9), and (11). Second, examples presented in Chinese mathematics textbooks and Chinese curriculum appendices related to the extracted elements were analyzed. Regarding the 4th grade goal, the statistical problem-solving process of the 7th grade 2nd semester mathematics textbook was analyzed. Regarding the synthesis and practice content area, the data analysis unit of the 8th grade 2nd semester mathematics textbook was analyzed. In relation to the achievement standard (6), Example 85 of the curriculum appendix was analyzed, in relation to the achievement standard (9), Example 86 was analyzed, and in relation to the achievement standard (11), Example 87 was analyzed. Third, based on the analysis results, implications for the development of new curriculum and 'textbook development, teaching and learning methods' according to the 2022 revised middle school mathematics curriculum were derived. Through the results of this study, we expect the successful realization of the 2022 revised middle school mathematics and curriculum statistics education.

Content analysis of education for sustainable development in elementary school mathematics textbooks (초등학교 수학 교과서에서의 지속가능발전 내용 분석)

  • Kim, JeongWon
    • The Mathematical Education
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    • v.60 no.2
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    • pp.173-190
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    • 2021
  • Education for Sustainable Development is an imperative mean to achieve the sustainable development which is the key idea that meets the needs of both present and succeeding generations by reconciling environmental protection, social development and economic growth. This study addressed the following question. First, what is the overall structure of the ESD contents presented in the textbooks? Second, How are the sub-contents of ESD distributed in the textbooks? Lastly, How are the ESD contents connected to mathematics in the textbooks? For this purpose, the contents in the elemtentary mathematics textbooks from 1st to 6th grades were analyzed at both macro and micro levels through quantitative and qualitative research methods. As results, contents related to environmental, social, and economic dimensions were presented from the first grade. The contents were involved the mathematics content domains of Numbers and Operations, Data and Possibilities, and Patterns. However, the contents were presented intensively in middle and high grades, and environmental topics accounted for a high proportion. Among the activities related to ESD, many were focused on solving problems mathematically while some were presented to solve problems as well as to consider sustainability through the activities. Based on the results, the study aims to provide implications for the direction of mathematics education for sustainable development in elementary school.

Middle School Students' Understanding of Constant Rate of Change in Functional Situations Using SimCalc MathWorlds (SimCalc MathWorlds를 활용한 함수적 상황에서 드러나는 중학생들의 일정한 변화율에 대한 이해)

  • Ma, Minyoung
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.599-614
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    • 2017
  • The purpose of this study is to compare and analyze middle school students' understanding of constant rate of change, in terms of observing, representing and interpreting dynamic functions in various ways using the SimCalc MathWorlds. For this purpose, parts of a class conducted for six students in the first grade of middle school were analyzed. The results suggested two implications for a class that used this program (SimCalc MathWorlds): First, we confirmed that the relationships between the two quantities that students notice in the same situation can be different. Second, the program helped students to develop a more comprehensive understanding of the meaning of the constant rate of change. The study also revealed the need to use technology in teaching and learning about functions, particularly to represent and interpret a given situation that involves the constant rate of change in various ways. Further, the results can contribute to developing contents and methods to teach functions using technology in consideration of students' different levels of understanding.

Reflections and Changes Through Assistant Teacher Experience For Secondary Pre-service Mathematics Teachers (중등예비수학교사의 학습보조교사 활동을 통한 반성과 변화)

  • Kim, Soo Jin;Kwon, Na Young
    • Communications of Mathematical Education
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    • v.32 no.1
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    • pp.59-77
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    • 2018
  • This study aims to investigate reflections of secondary pre-service mathematics teachers and their changes through practicing as assistant teacher in mathematics classrooms. For the purpose of this study, research questions are addressed on the reflections and their changes. During the 2015 Spring semester, secondary pre-service mathematics teachers took a course related to working as assistant teachers in regular mathematics lessons in a middle school. This study selected cases of two pre-service teachers. The data such as reports on their practices and final meeting report with teachers were collected during the semester. The results showed that the secondary pre-service mathematics teachers reflected teachers, students, mathematics contents, and themselves in their reports. In addition, each participant showed different contents of reflections. This difference implied that secondary pre-service mathematics teachers could have different reflections according to the types of lessons that they participated in.

A Comparative Study of Mathematics Curriculum and National Assessment Between Japan and Korea (일본과 우리나라의 수학과 교육과정과 국가수준 학업성취도 평가 비교)

  • Rim, Haemee;Kim, Bumi
    • School Mathematics
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    • v.16 no.2
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    • pp.259-283
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    • 2014
  • This research investigated the Revised mathematics curriculum and the National Achievement Test of Japan that advanced by leaps and bounds in PISA 2012. As compared with Korea, Japan shows similar trends in the affective domain and the cognitive domain of international achievement test. To put it concretely, this research compared and analyzed the mathematics contents domain of the 2009 revised mathematics curriculum of Korea and the 2008 revised mathematics curriculum of Japan being applied. The analysis was conducted in many aspects including overall of Japanese mathematics education system, the contents to be covered in each grade, and the methods of essential learning themes. We compared the mathematics contents dealt with each country based on the framework of analysis such as

    . Also, this research compared and analyzed overview of evaluation system, assessment frame, item characteristic, type of item of NAEA, NAT, and PISA. The results show the introduction time, the degree of deepening themes handled in each country, common themes and topics were very similar between Korea and Japan. But content area of Japan and Korea have been highlighted in the curriculum of middle school and elementary school in each are different. We know that Test B of NAT also emphasized the use of mathematical knowledge. Form the results, we obtained the basic data for the improvement of the next our curriculum. In addition, this results suggests the implications for the improvement of school mathematics curriculum of Korea.

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  • An Analysis of Questioning in an Instruction on the Probability that Event A and Event B Occur ('사건 A와 사건 B가 동시에 일어날 확률' 수업의 발문 분석)

    • Shin, Bomi
      • Journal of the Korean School Mathematics Society
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      • v.20 no.1
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      • pp.19-42
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      • 2017
    • This study analyzed characteristics of which a teacher asked questions in an instruction on the probability that event A and event B occur. The aim of this study based on the analysis was to deduce implications in terms of the various means which would enhance middle school students' understanding about the probability and assist teachers in designing instructions on the mathematics contents. To achieve this goal, this research firstly reviewed Morgan & Saxon(2006) which offers one classification of questioning that identifies a general intention for each category. Secondly, this study examined previous literature on teaching and learning the probability that event A and event B occur in order to identify didactical issues to teach the mathematics contents. Therefore, this study probed the questions of the instruction in the light of the framework descriptors from Morgan & Saxon(2006) and the issues to teach the probability that event A and event B occur. This research inspires the elaboration of what features have with regard to effective questioning in teaching mathematics through the analyzing process and additionally the elucidation of essential matters related to mathematics education on the basis of the analyzed results.

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