• Title/Summary/Keyword: analyzing mathematics

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The Effects of Situated Learning-Based Instruction of Mathematics on Students' Learning (상황학습 기반 수업이 초등학생의 수학 학습에 미치는 영향)

  • Yu, Wookhee;Oh, Youngyoul
    • School Mathematics
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    • v.16 no.3
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    • pp.633-657
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    • 2014
  • This study aims to verify the effect of the situated learning-based instruction on mathematics learning of sixth-grade elementary school students. For this purpose, this study examined the differences in mathematical learning achievement and mathematical attitude between a group participating in the situated learning-based class and a group participating in the normal instructor-led mathematics class. Moreover, this study verified the educational effect of the situated learning-based class by analyzing teacher's role in the class and students' way of participating in the class. The study results are as follows. First, the situated learning-based class positively influenced students' mathematics achievement and mathematical attitude. Second, teacher performed a role as a learning guide and facilitator. Third, other became an object to give help to or to learn from in the situated learning-based class. These situations had a positive influence on the organization of knowledge through active efforts of students for communication and problem solving which belongs to a cooperative socialization process happening in the class.

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Development and its Application on Teaching and Learning Materials for Differentiated Instruction in Secondary School Mathematics (국가 수준에 준하는 수학과 수준별 교수.학습 자료의 개발 및 활용)

  • Hwang, Hye-Jeang
    • Journal of the Korean School Mathematics Society
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    • v.9 no.3
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    • pp.317-345
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    • 2006
  • The purpose of this paper is to provide readers related to mathematics education with information and guidelines on 'Teaching and Learning Materials for Differentiated Instruction in Mathematics'. This paper is generally comprised of two parts. The one part is basically focused on understanding the meaning of differentiated education. The focus of the other part is on developing differentiated instructional materials for mathematics, according to the following procedures: 1. Analyzing the current differentiated mathematics curriculum and textbooks 2. Drawing a framework for developing the differentiated teaching and learning materials, and planning the procedure of developing the materials in detail. 3. Developing, checking, and revising the materials 4. Proposing how to utilize the materials effciently and effectively in class

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The Study on the Investigation of the Mathematics Teaching Evaluation Standards Focused on Understanding of Learners (교사의 학습자 이해 지식에 초점을 둔 수학 수업평가 요소 탐색)

  • Hwang, Hye-Jeang
    • Journal of the Korean School Mathematics Society
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    • v.13 no.4
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    • pp.569-594
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    • 2010
  • On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good mathematics instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including understanding of learners between 2007 and 2008. The purposes of development of mathematics teaching evaluation standards through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those three studies (namely, evaluation standards) focused on the teacher knowledge of learners' understanding. For this purpose, the meaning of learners' understanding was also investigated in-depth. Finally, the concrete elements on teaching evaluation focused on the teacher knowledge of learners' understanding in math class were new developed, based on the literature reviews on learners' understanding. Then, those evaluation elements were developed according to the five domains of learners' understanding such as evaluation domains such as students' intellectual and achievement level, students' misconception in math, students' motivation on learning, students' attitude on mathematics learning, and students' learning strategies.

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The Study on the Investigation of the Mathematics Teaching Evaluation Standards Focused on Teaching and Learning Methods and Assessment (수학 수업의 교사 지식에 관한 평가 요소 탐색 - 교수.학습 방법 및 평가를 중심으로 -)

  • Hwang, Hye-Jeang
    • Journal of the Korean School Mathematics Society
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    • v.14 no.3
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    • pp.241-263
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    • 2011
  • On the standards or elements of teaching evaluation, the Korea Institute of Curriculum and Evaluation(KICE) has carried out several research as follows : 1) establishment of observation elements for selecting examples of good mathematics instruction between 2001 and 2002, 2) development of the standards on teaching evaluation between 2004 and 2006, and 3) investigation on the elements of Pedagogical Content Knowledge including ‘teaching and learning methods and assesment' between 2007 and 2008. The purposes of development of mathematics teaching evaluation standards through those studies were to improve not only mathematics teachers' professionalism but also their own teaching methods or strategies. In this study, the standards were revised and modified by analyzing the results of those three studies (namely, evaluation standards) focused on the knowledge of 'teaching and learning methods and assessment'. For this purpose, seventh evaluation domains such as instruction involving instructional goal and content, instruction involving problem-solving activity, instruction involving learners' achievement level and attitude, instruction on communication skills, planning of assessment method and procedure, development on assessment tool, application on assessment result in class were new established. According to those seventh evaluation domains, elements on teaching evaluation focused on the knowledge of 'teaching and learning methods and assessment' were established.

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A Study on Quantity Calculus in Elementary Mathematics Textbooks (초등학교 수학교과서에서의 양(量)의 계산에 대한 연구)

  • Jeong, Eun-Sil
    • Journal of Educational Research in Mathematics
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    • v.20 no.4
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    • pp.445-458
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    • 2010
  • This study intends to investigate the process of the development of quantity concept and how to deal with the quantity calculus in elementary school, and to find out the implication for improving the curriculum and mathematics textbooks of Korea. There had been the binary Greek categories of discrete number and continuous magnitude in quantity concept, but by the Stevin's introduction of decimal, the unification of these notions became complete. As a result of analyzing of the curriculum and mathematics textbooks of Korea, there is a tendency to disregard the teaching of quantity and its calculus compared to the other countries. Especially multiplication and division of quantity is seldom treated in elementary mathematics textbooks. So these should be reconsidered in order to seek the direction for improvement of mathematic teaching. And Korea's textbooks need the emphasis on the quantity calculus and on constructing quantity concept.

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Non-Textual Elements as Opportunities to Learn: An Analysis of Korean and U.S. Mathematics Textbooks (학습기회로서의 비문자적 표상 분석: 한미 중등 수학교과서 사례 연구)

  • Kim, Rae-Young
    • School Mathematics
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    • v.12 no.4
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    • pp.605-617
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    • 2010
  • This study explores the characteristics and roles of non-textual elements in secondary mathematics textbooks in the United States and South Korea, using a conceptual framework that I have developed: variety, contextuality, and connectivity. Analyzing five U.S. standards-based textbooks and 13 Korean textbooks, this study shows that although non-textual elements in mathematics textbooks are free of literal language, they exhibit different emphases and reflect assumptions about what is important in learning mathematics and how it can be taught and learned in a particular societal context (Mishra, 1999; Zazkis & Gadowsky, 2001). While there are similar patterns in the use of different types of non-textual elements in textbooks from both countries, different opportunities are provided for students to learn mathematics between the two countries.

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Activation method of inquiry activity for students playing a leading role in teaching and learning by applying the van Hiele's learning process by stages in undergraduate pre-service teachers' mathematics class (van Hiele의 단계적 교수법에 근거한 예비교사들의 수학 수업에서 탐구 활동의 활성화 방안 탐색)

  • Hwang, Seok-Yoon;Kim, Ik-Pyo
    • Journal of the Korean School Mathematics Society
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    • v.18 no.1
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    • pp.39-60
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    • 2015
  • It is one of the fundamental issues that students in teaching and learning process should take a proactive role in school mathematics. Inquiry or discovery learning in school mathematics is the specific method for students to participate in lessons on their own initiative, which is supported by many scholars in mathematics education. In this paper, we investigate pre-service teachers' perspectives of Inquiry or discovery learning by intensively analyzing information and guided orientation in teaching practice. From this, we find the direction of the pre-service teacher training program for carrying out pre-service teachers' role to help students to take a proactive role in school mathematics.

An analysis of preservice mathematics teachers' reading of curriculum materials: Focused on conditional probability (예비 수학교사들의 교육과정 자료 해석: 조건부확률을 중심으로)

  • Ku, Nayoung;Tak, Byungjoo;Choi, Inyong;Kang, Hyun-Young
    • The Mathematical Education
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    • v.58 no.3
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    • pp.347-365
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    • 2019
  • It is important to pay attention to how teachers recognize and use curriculum materials in order to link written curriculum and enacted curriculum. In this study, 90 preservice mathematics teachers were surveyed to identify their perspective and reading of curriculum materials. Especially, we focused on the curriculum documents, textbooks, and teachers' guidebooks containing the concept of conditional probability which is addressed in highschool mathematics curriculum. The various misconceptions of conditional probability were reported in the many researches, and there are multiple methods to introduce conditional probability in mathematics classes. As a result, curriculum materials have some limits to be used as they are and considered to be reconstructable by participants, but their curriculum reading were mainly classified to be descriptive and evaluative, not to be interpretive. However, unlike curriculum documents, textbooks and teachers' guidebooks were partially interpreted by participants using their knowledge of conditional probability. The purpose of this study is to investigate the profession of mathematics teachers in terms of curriculum implementation. We expect that this study will provide a basic framework for analyzing mathematics teachers' works and suggest some implications for the professional development of mathematics teachers.

Effect and Design of a Teaching-Learning Model for Flipped Learning in Elementary School Mathematics Based on a Student's Active Learning Model (학생능동수업모델에 기반한 초등학교 수학과 플립러닝 교수·학습 모델 설계 및 효과)

  • Joo, Hye Jin;Ryu, Hyun Ah
    • Journal of Elementary Mathematics Education in Korea
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    • v.22 no.3
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    • pp.241-266
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    • 2018
  • The purpose of this study were to design and apply a teaching-learning model for flipped learning in elementary school mathematics based on a student's active learning model for mathematics, and then to examine their effects. Finally, this suggests two points to consider when applying flipped learning to young learners. The results of this study are as follows. First, The model showed meaningful results that improved learners' academic achievement. Second, The application of flipped learning, which reflects the characteristics of the mathematics department, gave learners a higher level of satisfaction than traditional classes. Third, as a result of analyzing students' testimonies, it was possible to form a habit of self-study without help of anyone at the desired time and place, and to solve the problem created beforehand with friends so that self-directed learning habit formation and interest in class respectively.

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A Study of Story-Shell Applied to Mathematical Communication (이야기 틀을 활용한 수학 수업에 나타난 의사소통 활동 분석)

  • Kim Young Ok;Paik Seok Yoon
    • Journal of Elementary Mathematics Education in Korea
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    • v.8 no.1
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    • pp.1-21
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    • 2004
  • The purpose of this study is analyzing phenomenon of mathematical communication by students applied story shell. Also, this study is obtained teaching indicated in early standardized mathematics classes. It is served we realize the purpose of study and set study subject to be as follows. First, it finds out how to be described activities of students' mathematical communication in the mathematics class applied story shell. Second, it finds out what phenomenon is observed in a behavior side of the mathematics class applied story shell. It is developed 7 story shells for the 6th grade of the elementary school for about 4 months and when applying mathematics classes, it is analyzed the notes and recorded data to get in an each class and when applying mathematics classes. It is analyzed the notes and recorded data to get in an each class. The result of this study is as follows: First, in a mathematics class which applies story shell, students concentrate on the class when hearing and reading mathematics problem. So, they are able to understand a mathematical language included in the problem. Second, in a mathematics class which applies story shell, students participate actively at the mathematics class. And in complicate situation among the students it is served they justify own opinion and persuaded logically. The point which study hints to see such a result is as follows: First, in a mathematics class which applies story shell students have answered more quickly than the old times as hearing and reading the problem in a picture. Second, in a mathematics class which applies story shell, students were used to being the mathematics language intimately and there was to observe to express it by an equation. Third, in a mathematics class which applies story shell students attend to study activity with interest. Forth, in situation of complicate thought, students are persuading and explaining their opinions for the purpose of justification.

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