• Title/Summary/Keyword: Mathematics Activities

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An Analysis of the Capacity and Weight Contents Presented in Textbooks According to the 2015 Revised Mathematics Curriculum (2015 개정 수학과 교육과정에 따른 교과서에 제시된 들이와 무게 내용 분석)

  • Daehyun Lee
    • Journal of Science Education
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    • v.47 no.3
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    • pp.273-285
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    • 2023
  • Measurement in elementary school mathematics is one of the mathematical concepts that is directly used in real life. This study is based on the fact that mathematics textbooks for 3-4 and 5-6 graders were developed as the government designed and authorized textbooks and the general measurement instruction process is condensed and presented considering the limitation of the textbook's space for the capacity and weight. Its contents were analyzed. The results are as follows. The contents of authorized textbooks and government designed textbook are different in detail but similar overall in comparative activities, recognition, and situation of the need for the introduction of standard unit and estimation activities. Through this, it is proposed that efforts are needed to reform national textbook policies and develop textbooks that can highlight the meaning of each measurement activity and focus on students' activities.

The Effect of Geometry Learning through Spatial Reasoning Activities on Mathematical Problem Solving Ability and Mathematical Attitude (공간추론활동을 통한 기하학습이 수학적 문제해결력과 수학적 태도에 미치는 효과)

  • Shin, Keun-Mi;Shin, Hang-Kyun
    • Journal of Elementary Mathematics Education in Korea
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    • v.14 no.2
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    • pp.401-420
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    • 2010
  • The purpose of this research is to find out effectiveness of geometry learning through spatial reasoning activities on mathematical problem solving ability and mathematical attitude. In order to proof this research problem, the controlled experiment was done on two groups of 6th graders in N elementary school; one group went through the geometry learning style through spatial reasoning activities, and the other group went through the general geometry learning style. As a result, the experimental group and the comparing group on mathematical problem solving ability have statistically meaningful difference. However, the experimental group and the comparing group have not statistically meaningful difference on mathematical attitude. But the mathematical attitude in the experimental group has improved clearly after all the process of experiment. With these results we came up with this conclusion. First, the geometry learning through spatial reasoning activities enhances the ability of analyzing, spatial sensibility and logical ability, which is effective in increasing the mathematical problem solving ability. Second, the geometry learning through spatial reasoning activities enhances confidence in problem solving and an interest in mathematics, which has a positive influence on the mathematical attitude.

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Analysis of Korean Mathematics Class Organization and Teacher's Approach and Activities: Focused on the Lessons from Learner's Perspective Study (한국 수학 수업의 조직 및 교수 활동 분석: LPS(Learner's Perspective Study) 수업 자료를 중심으로)

  • Park, Kyung-Mee
    • Journal of Educational Research in Mathematics
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    • v.17 no.2
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    • pp.127-145
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    • 2007
  • There have been several international lesson studies such as TIMSS Video Study and Learner's Perspective Study. According to the TIMSS Video Study report, within differences found in the lessons in each country is much less than the between differences found in the lessons across countries. This means that each country has its own way of teaching, so called 'national script'. On the contrary, LPS researchers are skeptical about the existence of 'national script' since significant differences are identified within the lessons conducted by the same teacher. The purpose of this study is to analyze the LPS Korean data in terms of class organization and teacher's approach and activities. The categories of class organization are classwork, small group seatwork, and individual seatwork, and the those of teacher's approach and activities are exploratory, directive, summarization, exercises and practice, and assigning homework. Ten lessons were videotaped from two Korean schools respectively, thus altogether twenty lessons were recorded and analyzed. Each lesson shows unique class approach and teacher's approach and activities, however the average of each category in class organization and teacher's approach and activities for the two schools are very similar. This result supports the TIMSS Video Study in the regard that there is a commonality among the lessons within the country, but also confirms the LPS result that it is difficult to assume 'national script'. This study is a preliminary investigation into the LPS Korean data, and the further in-depth interpretation of LPS lessons will be followed.

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A Study on the Effect by Self-oriented Learning in Group for Improvement of Problem-solving Ability - Gentered to the 2nd Grade curriculum of Middle School - (수학과 그룹별 자기 주도 학습이 문제해결능력 신장에 미치는 영향 - 중학교 2학년 과정을 중심으로 -)

  • 오후진;김태흥
    • Journal of the Korean School Mathematics Society
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    • v.4 no.2
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    • pp.115-123
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    • 2001
  • In its seventh revision to start in 2001, mathematics will have a new emphasis in the middle school curriculum. Mathematics subject is now composed of practical things in the use of mathematics. Also, the future of new generation, which has been known as the information age, places much focus on problem-solving in order to collect, analyze, synthesize, and judge various kinds informations. This demand of problem-solving ability is not only related with mathematical education but, along the entire educational process, its related to actual life. With this change of social structure, the importance of school education is increasing rapidly. Therefore, in order to grow abilities and create new knowledge, adapted this new method of self-oriented learning in groups to middle school 2nd graders for one year, the results were as follows : 1. Students developed their ability of the use of mathematical terms and signs correctly. 2. Students' mathematical knowledge and problem-solving ability improved as they had increased interest in mathematics. 3. Students' peership was enhanced through their communication and cooperative activities in groups during the class. 4. Students themselves were more willing to volunteer and participate during the class.

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Development of mathematical learning materials through geometric problems and the invention of pentominoes (기하학적 문제와 펜토미노의 발명을 통한 수학 학습에서의 자료 개발)

  • Hwang, Sun-Wook;Shim, Sang-Kil
    • Journal for History of Mathematics
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    • v.20 no.1
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    • pp.57-72
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    • 2007
  • Recently, dissection puzzles such as pentominoes have been used in mathematics education. But they are not actively applicable as a tool of problem solving or introducing mathematical concepts since researches about the historical background and developments of mathematical applications of such puzzles have not been effectively accomplished. In this article, in order to use pentominoes in mathematical teaming effectively, we first investigate geometric problems related to dissection puzzles and the historic background of development of pentominoes. And then we collect and classify data related to pentomino activities which can be applicable to mathematics classes based on the 7th elementary school national curriculum. Finally, we suggest several basic materials and directions to develop more systematic learning materials about pentominoes.

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A Case study of Elementary Mathematics Class in a Constructive View (초등수학에서 구성주의적 관점에서의 수업 사례연구)

  • 최창우
    • Journal of Educational Research in Mathematics
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    • v.10 no.2
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    • pp.229-246
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    • 2000
  • The purpose of this paper is to compare and analyze the two different teaching methods of elementary mathematics in the traditional method and in the constructive view. To do so, the actual class in the constructive view has been made for about four months using a class of 45 students in the second grade of an elementary school. After the class was finished, we collected diverse data from the class, such as the responses from the children(self-evaluation, mathematics diary, observation by the investigator, daily report), class evaluation report by other teacher and so on. The results of this research are as follows: First, the traditional class reaches at the goal of learning in a unit time because the class is guided by the teacher but the class in the constructive view is a little flexible because it is contextual. Second, in the constructive process of mathematical knowledge we knew that small group activities or discussion without intervention of teacher was often ended in exhaustive argument without arriving at valid social consensus. Third, the attitude in mathematics was changed from the passive one to the self-regulated ones. Fourth, the class in the constructive view could extend not only the ability of mathematical communication but also the ability of self-directed learning of children. Fifth, it was a considerable change the role of teacher, that is, guide of instruction instead of unique specialist in the classroom. Sixth, finally, the evaluation was made after finishing a unit class in the traditional instruction but it was integrated in a class in a constructive view.

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Analyzing students' engagement factors in flipped mathematics class (반전학습(flipped learning)을 적용한 수학 수업에서 학생들의 참여 요인 탐색)

  • Yoon, Jungeun;Cho, Hyungmi;Kwon, Oh Nam
    • The Mathematical Education
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    • v.55 no.3
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    • pp.299-316
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    • 2016
  • The abilities for 21st learners have recently changed and learners' engagement is emphasized. In flipped classroom, students learn the prerequisite concepts of the lecture online in advance and perform various types of activities based on interaction and engagement. As students in flipped classroom construct knowledge actively, students' engagement is very important. Therefore, I conducted a research of flipped mathematics class to help teachers to better understand students' engagement in flipped mathematics class. The flipped mathematics class was conducted for about 3 weeks with 29 middle school students and one teacher. Video and audio recordings, completed student worksheets and interview data were collected and analyzed using the qualitative method. The results of this study showed that students' engagement is influenced by diverse factors. Engagement factors were categorized by teacher factors, community factors, material factors, tasks and strategy factors, classroom culture factors. Each factor facilitates or suppresses behavioral, emotional, cognitive, agentic engagements, and sometimes several factors are related. The results of this study increase understanding of engagement through the example of a case study on flipped mathematics class.

The Analysis of Metacognitive Activity Through Writing Using CAS Calculator on Middle School Mathematics Underachiever (중학교 수학학습부진아의 CAS 계산기를 사용한 활동에서 나타나는 메타인지 활동 분석)

  • Kim, In-Kyung
    • School Mathematics
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    • v.12 no.4
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    • pp.531-545
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    • 2010
  • This research is focusing on find out the learning method for mathematics underachievers of middle school. The tested method were metacognitive activity through writing. For conducting research, I had selected mathematics underachievers of middle school. After selecting them, I made two group. One group studied using CAS calculator with paper and pencil. And another group studied using paper and pencil only. Both groups exhibited metacognitive learning activities. The analysis of result shows that the group with CAS calculator did better than the group of paper and pencil.

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An Analysis on Elementary Mathematics Curricula and Textbooks of 2009 Revised Version in Korea - Four Issues to Be Improved (2009 개정 초등학교 수학과 교육과정 및 교과서 분석 -개선을 위한 네 가지 문제점-)

  • Kang, Wan
    • School Mathematics
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    • v.15 no.3
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    • pp.569-583
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    • 2013
  • In Korea, the school mathematics curricula have been revised in every average 6 years by the government. From the year 2013, the new revised curricula called 2009 version are implied. The subject of elementary mathematics in this new curricula contains four issues to be improved. First, it should be allowed to call the basic figures such as box, cylinder, ball, quadrilateral, triangle and circle in verbal languages. Second, the name of the activities to define mathematical concepts should be changed from 'Yaksok', which means 'promise' in English, to a better and more honest one. Third, the concave polygons should be treated together with the convex ones. Fourth, the calculations of fractions should be weakened as much as possible for the elementary school children.

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A Study on the Elementary Pre-service and In-service Teachers' Viewpoints in Mathematics Lesson Critique (초등학교 현직교사와 예비교사의 수학 수업 비평의 관점에 대한 연구)

  • Kim, Nam Gyun;Yu, Je Jung
    • The Mathematical Education
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    • v.54 no.1
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    • pp.1-11
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    • 2015
  • The purpose of this study was to provide fundamental data and implication for forming desirable viewpoint of mathematics lesson critique and for improvement of expertise in lesson by compare and analyze the viewpoint of mathematics lesson critique of pre-service and in-service teachers. For the achievement of the purpose, The lesson critique materials of each 25 pre-service and in-service mathematics teachers were collected and arranged, and compare and analyze the viewpoint of mathematics lesson critique of pre-service and in-service teachers by using the standard for analyzing viewpoint of lesson critique composed of two categories, five main codes and 18 sub codes. The results of this study, both pre-service and in-service teachers have tendency for criticising lesson focusing on the practice rather than plan of lesson and both pre-service and in-service teachers showed evaluative reaction in most of critical statements and used positive ones rather than negative ones. The only pre-service teachers, though minor of them, showed non-evaluative reaction in criticising class and most of the statements were just description and explanation without any their own judgement for the scenes and activities of lessons and most of pre-service teachers have tendency to include reflection and introspection for their own class in lesson critique.