• Title/Summary/Keyword: 수학과 교과 내용학

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A Comparative Analysis of the Intensive Quantity Covered in Elementary Mathematics, Science and Social Studies from a Pedagogical Perspective (초등 수학과 과학, 사회에서 다루는 내포량에 대한 교수학적 비교 분석)

  • Kang, Yunji
    • Communications of Mathematical Education
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    • v.37 no.1
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    • pp.47-64
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    • 2023
  • The current elementary mathematics curriculum does not include intensive quantity. However, other subjects also deal with intensive quantity. In order to find a solution to this problem from a pedagogical point of view, the curriculum of mathematics, science, social studies, and elementary textbooks were compared and analyzed, focusing on intensive quantity. As a result of the analysis, the learning contents of intensive quantity were not explicitly presented or the term was not used in the elementary mathematics curriculum. However, intensive quantity was used as a material of activity and word problems in elementary mathematics textbooks. In science and social studies, it was also found that the learning order and content did not match, such as calculating the intensive quantity. For effective learning, it is necessary to consider presenting intensive quantity in elementary mathematics, and to be careful in the composition of learning order and content.

Investigation of the Effect of a Learning Program for University Engineering Mathematics (대학 공업수학 학습자료 개발 및 효과)

  • Jeong, Su-Youn;Song, Yeong-Moo
    • Communications of Mathematical Education
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    • v.25 no.2
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    • pp.361-379
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    • 2011
  • The purposes of this research are to develop Engineering Mathematics materials using the relations between Engineering Mathematics contents and not only pre-study contents but also major contents and to find the effect of the mathematics study which is applying them for students majoring in electronics. To accomplish the goals, I made list of Engineering Mathematics contents which is necessary to study electronics. Based on the list, I researched relations between Engineering Mathematics contents and not only pre-study contents but also major contents. After research, I selected some subjects which are related each other, developed study materials and examined responses to the materials. Then I analysed the effects on study attitude after used developed materials in my class. As a result, the major contents which was described in the introduction of the materials helped students to be motivated to study Engineering Mathematics and Pre-study contents described before Engineering Mathematics contents helped them to concentrate on studying Engineering Mathematics. Also it showed that developed study materials were effective in increasing self-confidence which is one attitude in the subcategories for Mathematics study.

Symbol Statements in Middle School Mathematics Textbooks: How to Read and Understand Them? (중학교 수학 교과서에 제시된 기호의 서술: 어떻게 읽고 이해할 것인가?)

  • Paek, Dae-Hyun;Yi, Jin-Hee
    • Journal of Educational Research in Mathematics
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    • v.21 no.2
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    • pp.165-180
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    • 2011
  • Mathematical symbols concisely represent mathematical contents related to terms by describing their mathematical meanings implicitly. All symbols in elementary school mathematics textbooks are stated as to be read so that elementary school students could understand their mathematical meanings. The same is somewhat true as in middle school mathematics textbooks, however it is often the case that some symbols are difficult to be read and understood because their statements are unclear or different. In this study, we analyze problems and suggest implications on teaching and learning mathematics based on the statements and understanding of reading symbols in middle school mathematics textbooks.

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중등수학 교과 재량활동의 효율적 운영을 위한 연구 - 7학년 중심 -

  • Park, Eun-Ok;Yu, Won-Seok
    • Communications of Mathematical Education
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    • v.15
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    • pp.135-140
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    • 2003
  • 제7차 교육과정은 재량활동을 확대 ${\cdot}$ 신설하여 학교와 지역의 여건에 따라 선택적으로 편성 ${\cdot}$ 운영하도록 하고 있다. 그러나 일선 학교에서는 수학교과 재량활동에 대한 교수 ${\cdot}$ 학습 활동의 내용이나 지도자료 등이 명확히 제시되지 않았기 때문에 많은 어려움이 있다. 이에 본 연구에서는 일선 중학교에서 현재 실시하고 있는 수학교과 재량활동의 운영 실태와 문제점을 조사하고 중등수학교과 재량활동 학습 과정안을 개발 ${\cdot}$ 적용하여 그 성과를 분석함으로써 수학교과 재량활동 교육의 목적을 달성하고 다른 학교에 편성 ${\cdot}$ 운영의 모델을 제시하고자 한다.

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An Analysis of Elementary Mathematics and Science Textbooks for Grades 3 and 4: Focused on Capacity, Volume, Weight, and Mass (초등학교 3~4학년군 수학·과학 교과서 비교 분석: 들이, 부피, 무게, 질량을 중심으로)

  • Pang, JeongSuk;Kwon, MiSun
    • School Mathematics
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    • v.19 no.3
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    • pp.617-638
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    • 2017
  • In order to make a connection in teaching similar concepts between mathematics and science in teaching similar concepts, this paper analyzed the contents related to capacity, volume, weight, and mass in the mathematics and science textbooks aligned with the national elementary curriculum. We first explored when to present such topics in both textbooks, and then analyzed in what ways the topics were addressed in terms of quantitative comparison, vocabulary, units of measurement, measurement, tools for measurement, estimation, and connections to real life. The results of this study showed that there were some aspects emphasized in common both in mathematics and science textbooks. The analysis of this study also demonstrated subtle but considerable differences according to the characteristics of two subject matters. Based on these results, this paper provides implications for elementary school teachers to consider in teaching capacity, volume, weight, and mass through mathematics and science lessons.

Investigating mathematics teachers' understanding of and intention to use textbooks (수학 교사의 교과서 이해 및 활용 의도 탐색)

  • Cho, Soohyun;Kim, Gooyeon
    • The Mathematical Education
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    • v.60 no.1
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    • pp.111-131
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    • 2021
  • This study aims to investigate how secondary mathematics teachers understand and intend to use textbooks for their mathematics instruction. For this purpose, we developed a set of survey items in order to unpack what the teachers understand the mathematical tasks suggested in the textbooks in terms of the levels of cognitive demand and how they intended to use the tasks in the textbooks for their teaching. Twenty-five teachers participated in the survey. The data from the survey were analyzed. The findings from the data analysis suggested as follows: a) the teachers seemed to closely follow textbooks without attempting to modify the tasks, even when the teachers consider it is necessary to modify textbook tasks to high-level tasks, b) the teachers seemed to be unstable in regards that they admitted themselves very competent for modifying tasks for developing students' mathematical thinking but, at the same time, they were uncomfortable with transforming tasks into cognitively demanding tasks that promote students' mathematical understanding, and c) the teachers appeared to consider textbooks as significant criteria in conducting tests including midterm and final exam. In conclusion, the teachers seemed to intend to follow closely the contents and sequence of mathematics textbooks in their mathematics classrooms.

An Analysis and Criticism on Subject Matter Related to Solid Figures in Korean Elementary School Mathematics Textbook (우리나라 초등학교 수학 교과서에서의 입체도형 관련 지도 내용에 대한 분석과 비판)

  • Kwon, Seok-Il;Park, Kyo-Sik
    • Journal of Educational Research in Mathematics
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    • v.21 no.3
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    • pp.221-237
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    • 2011
  • This paper focused on three drawbacks exposed in subject matter related to solid figures in elementary school math textbook. First, general solid figure are introduced before rectangular parallelepiped and cube in fifth grade math textbook, and prism and pyramid in sixth grade math textbook are introduced. Second, the process of abstraction from concrete objects to solid figures is insufficient in sixth grade math textbook. Third, some definitions in subject matter related to solid figures are inconsistent and ambiguous. The following four suggestions can be put forward as a conclusion based on these results. First, subject matter in textbooks must be correspond with that in curriculum. Second, it is necessary to inform teachers of range of subject matter through teachers guide book and manual for curriculum definitely. Third, each grade subject matter in math textbooks must be reexamined. Fourth, regular modification of math textbooks must be possible institutionally.

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Analysis on Application of Computer in Geometry Unit of Middle School Mathematics Textbooks (중학교 1학년 교과서 기하 단원에 제시된 컴퓨터 활용에 대한 분석)

  • Shim, Sang-Kil
    • Communications of Mathematical Education
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    • v.25 no.3
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    • pp.577-591
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    • 2011
  • In this study, in order to use computer in mathematical learning effectively, we investigate application of computer shown textbooks in geometry unit of middle school mathematics. First, we analyzed about status of computer application and method of computer application in 27 textbooks. We presented concrete example of mathematics activity using computer that can be used by teachers. Also, we tried to find out the direction to use computer more effectively in teaching and learning geometry. Through this process, we do not simply use computer to play for interest but to use it more meaningfully.

An Analysis on Contents Related to Problem Solving in the 7th Elementary Mathematics Curriculum and Instructional Materials (문제해결과 관련된 제7차 초등학교 수학과 교육과정 및 교과용 도서 분석)

  • Pang, Jeong-Suk;Kim, Sang-Hwa
    • School Mathematics
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    • v.8 no.3
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    • pp.341-364
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    • 2006
  • This paper analyzed contents related to problem solving in the 7th elementary mathematics curriculum in conjunction with main changes in the next curriculum under discussion. This paper then provided detailed analyses of textbooks and workbooks in terms of principal contents, problem solving strategies, content areas, and problem types in order to look closely at how such instructional materials would put the vision of the curriculum into action. It is expected that many issues and suggestions stemming from the analyses will serve basic information to develop next curriculum and its concomitant instructional materials in a way to fostering students' problem solving ability.

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An Analysis on Teaching Quadrilaterals in Elementary School Mathematics Textbooks (초등학교 수학 교과서에 나타난 사각형 지도 방법에 대한 분석)

  • Kim, Hyun-Jeong;Kang, Wan
    • Education of Primary School Mathematics
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    • v.11 no.2
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    • pp.141-159
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    • 2008
  • The purpose of this study id to delve into how elementary mathematics textbook deal with the quadrilaterals from a view of Didactic Transposition Theory. Concerning the instruction period and order, we have concluded the following: First, the instruction period and order of quadrilaterals were systemized when the system of Euclidian geometry was introduced, and have been modified a little bit since then, considering the psychological condition of students. Concerning the definition and presentation methods of quadrangles, we have concluded the following: First, starting from a mere introduction of shape, the definition have gradually formed academic system, as the requirements and systemicity were taken into consideration. Second, when presenting and introducing the definition, quadrilaterals were connected to real life. Concerning the contents and methods of instruction, we have concluded the following: First, the subject of learning has changed from textbook and teachers to students. Second, when presenting and introducing the definition, quadrilaterals were connected to real life. Third, when instructing the characteristics and inclusive relation, students could build up their knowledge by themselves, by questions and concrete operational activities. Fourth, constructions were aimed at understanding of the definition and characteristics of the figures, rather than at itself.

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