• Title/Summary/Keyword: teacher-posed problems

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A Case Analysis on Mathematical Problems Posed by Teachers in Gifted Education (수학영재 지도교사의 문제만들기 사례분석)

  • Paek, Dae-Hyun;Yi, Jin-Hee
    • School Mathematics
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    • v.11 no.2
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    • pp.207-225
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    • 2009
  • Well posed problems for mathematically gifted students provide an effective method to design 'problem solving-centered' classroom activities. In this study, we analyze mathematical problems posed by teachers in distance learning as a part of an advanced training which is an enrichment in-service program for gifted education. The patterns of the teacher-posed problems are classified into three types such as 'familiar,' 'unfamiliar,' and 'fallacious' problems. Based on the analysis on the teacher-posed problems, we then suggest a practical plan for teachers' problem posing practices in distance learning.

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The Case Study of Geography Classes Taught by Non-Majored Teacher in the Middle School (비전공 교사에 의한 지리 수업 운영의 특성과 문제점에 관한 연구)

  • Park Sun-Mee
    • Journal of the Korean Geographical Society
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    • v.39 no.4
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    • pp.620-632
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    • 2004
  • This paper tries to examine differences between geography classes taught by majored and non-majored teacher and to find problems in the latter case, tv observing four middle school geography classes in Seoul, from April to May 2003. The observation was fecund on (1) organization of a class (2) dialogue between teacher and students (3) strategy of explanation. In addition, the author conducted personal interviews with social studies teachers in the schools where the observations were made. The analyses of the observed classes were made by micro-ethnographic research method. Major findings of the observation and analysis are as follows. First, the transition from one topic to another topic was not smooth in the case of non-majored teacher class. Second, the questions that the non-majored teacher posed in the classroom played less significant role in keeping up the class in an organized fashion than those that the majored teacher posed. Third, the non-majored teacher focused on the concepts, terms and contents appeared in the textbook and simply tried to explain them, whereas the majored teacher demonstrated teaching methods such as comparing and contrasting cases to provide students with a more dynamic and comprehensive understanding on the topic they teamed. Fourth, the non-majored teacher used maps less frequently and less actively than the majored teacher. In addition, although the non-majored teachers are well aware of their problems in the class as a non-majored teacher, they think that the problems are inevitable in a given curriculum structure of social studies in Korea.

Preservice teachers' understanding of fraction multiplication through problem posing and solving in Korea and the United States (문제제기 및 해결을 통한 한국과 미국 예비교사의 분수 곱셈 이해 탐색)

  • Yeo, Sheunghyun;Lee, Jiyoung
    • The Mathematical Education
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    • v.61 no.1
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    • pp.157-178
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    • 2022
  • Mathematics teachers' content knowledge is an important asset for effective teaching. To enhance this asset, teacher's knowledge is required to be diagnosed and developed. In this study, we employed problem-posing and problem-solving tasks to diagnose preservice teachers' understanding of fraction multiplication. We recruited 41 elementary preservice teachers who were taking elementary mathematics methods courses in Korea and the United States and gave the tasks in their final exam. The collected data was analyzed in terms of interpreting, understanding, model, and representing of fraction multiplication. The results of the study show that preservice teachers tended to interpret (fraction)×(fraction) more correctly than (whole number)×(fraction). Especially, all US preservice teachers reversed the meanings of the fraction multiplier as well as the whole number multiplicand. In addition, preservice teachers frequently used 'part of part' for posing problems and solving posed problems for (fraction)×(fraction) problems. While preservice teachers preferred to a area model to solve (fraction)×(fraction) problems, many Korean preservice teachers selected a length model for (whole number)×(fraction). Lastly, preservice teachers showed their ability to make a conceptual connection between their models and the process of fraction multiplication. This study provided specific implications for preservice teacher education in relation to the meaning of fraction multiplication, visual representations, and the purposes of using representations.

A Study on the Cases of the Problem Posing which the Mathematically Gifted Students Made in the NIM Game (수학영재들이 NIM 게임 과제에서 만든 문제 만들기 사례 분석)

  • Song, Sang-Hun;Chong, Yeong-Ok;Yim, Jae-Hoon;Shin, Eun-Ju;Lee, Hyang-Hoon
    • Journal of Educational Research in Mathematics
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    • v.17 no.1
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    • pp.51-66
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    • 2007
  • The purpose of this study is to analyse the cases of the posed problems while the mathematically gifted students are playing the NIM game. The findings of a qualitative case study have led to the conclusions as follows. Most of all mathematically gifted students in the elementary school are not intend to suggest the solutions of the posed problem unless the teacher or the 'problem is requested. But a higher level of promising children were changing each data components of a problem in a consistent way and restructuring the problems while controlling their cognitive process. This is compared to that a relatively lower level of promising children tends to modify one or two data components instantly without trying to look at the whole structure. And we gave 2 suggestions to teach the mathematically gifted students in the problem posing.

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A Study on the Method of Mathematical Situation Posing (수학적 상황 설정 방법에 관한 연구)

  • 홍성민;김상룡
    • Education of Primary School Mathematics
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    • v.6 no.1
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    • pp.41-54
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    • 2002
  • The purpose of this study is to find out what mathematical situation means, how to pose a meaningful situation and how situation-centered teaching could be done. The obtained informations will help learners to improve their math abilities. A survey was done to investigate teachers' perception on teaching-learning in mathematics by elementary teachers. The result showed that students had to find solutions of the textbook problems accurately in the math classes, calculated many problems for the class time and disliked mathematics. We define mathematical situation. It is artificially scene that emphasize the process of learners doing mathematizing from physical world to identical world. When teacher poses and expresses mathematical situation, learners know mathematical concepts through the process of mathematizing in the mathematical situation. Mathematical situation contains many concepts and happens in real life. Learners act with real things or models in the mathematical situation. Mathematical situation can be posed by 5 steps(learners' environment investigation step, mathematical knowledge investigation step, mathematical situation development step, adaption step and reflection step). Situation-centered teaching enhances mathematical connections, arises learners' interest and develops the ability of doing mathematics. Therefore teachers have to reform textbook based on connections of mathematics, other subject and real life, math curriculum, learners' level, learners' experience, learners' interest and so on.

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Formation of Research Competence Using Innovative Technologies to Improve the Quality of Training Future Specialists

  • Olena, Dobosh;Daria, Koval;Natalya, Paslavska;Natalia, Cherednichenko;Iryna, Bondar;Oksana, Vytrykhovska;Olena, Bida
    • International Journal of Computer Science & Network Security
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    • v.22 no.12
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    • pp.91-97
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    • 2022
  • Analyzing the psychological and pedagogical literature, we showed the interest of researchers in the problem posed. The concept of competence is considered, which is interpreted as giving the key to solving a wide range of educational and life tasks. Research competence implies the ability to cooperate, enter into contacts, readiness for changes, for self-determination and is an integral quality of the individual, expressed in the readiness and ability to independently search for solutions to new problems and creative transformation of reality based on a set of personal and meaningful knowledge, skills, methods of activity and value attitudes.The article offers conditions that certify the improvement of forms and methods of training students in the formation of research competence of future specialists. The use of innovative technologies contributes to improving the level of training of future specialists: students are better prepared for classes, take an active part in the assimilation of program material in laboratory classes. It is noted that this creates a subject-subject relationship between the student and the teacher, and changes the attitude of students to classes. In the process of such organization of educational activities, students are convinced of the need for knowledge and its effectiveness, learn to compare, generalize, classify, establish cause-and-effect relationships, express opinions, defend their point of view, they ensure success in their studies, and develop research competence. It is proved that in order to apply the latest technologies, the teacher himself must know them well, that is, constantly improve himself, master new methods, techniques, ideas, which will help him create new pedagogical technologies and implement them in the educational process.

An Analysis on Understanding of Gifted Students in Elementary Mathematics about Situations and Concepts of Multiplication (초등수학영재의 곱셈 상황에 따른 개념 이해 분석)

  • Kim, Young A;Kim, Sung Joon
    • Journal of Elementary Mathematics Education in Korea
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    • v.20 no.2
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    • pp.283-309
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    • 2016
  • The purpose of this study is to investigate gifted students in elementary mathematics how they understand of situations involving multiplication and concepts of multiplication. For this purpose, first, this study analyzed the teacher's guidebooks about introducing the concept of multiplication in elementary school. Second, we analyzed multiplication problems that gifted students posed. Third, we interviewed gifted students to research how they understand the concepts of multiplication. The result of this study can be summarized as follows: First, the concept of multiplication was introduced by repeated addition and times idea in elementary school. Since the 2007 revised curriculum, it was introduced based on times idea. Second, gifted students mainly posed situations of repeated addition. Also many gifted students understand the multiplication as only repeated addition and have poor understanding about times idea and pairs set.

Analysis of Elementary School Teachers' Attitude Toward School Food Service Management and Effect (학교급식의 관리와 효과에 대한 초등교사들의 태도 분석)

  • Kim, Hak-Hyun
    • The Journal of Korean Society for School & Community Health Education
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    • v.1 no.1
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    • pp.61-82
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    • 2000
  • The purpose of this study was to find out the general problems of school food service and to explore a way to improve it, by examining elementary school teacher's consciousness and attitude toward it that gave a big impact on children's development of food habit. For attaining the purpose, the following research questions were posed : 1) What's elementary school teacher attitude toward school food service management? 2) What's elementary school teacher attitude toward school food service effect on children? 3) What's elementary school teacher opinion about how to develop school food service? The subjects of study were 328 male or female teachers who served at elementary school in urban and rural area, including eup, myon, or farming and fishing villages, Kyonggi province. A questionnaire survey was conducted over them. The conclusions were as follows: 1) Teacher Attitude Toward School Food Service Management Concerning food service place, the subjects were more satisfied at food service room(73.3%) than at classroom(23.0%). They responded that food service room was more effective, than classroom, for food transportation, distribution and post-arrangement. Their satisfaction at food service place was significantly different. The older teachers considered personnel management and cooking room's sanitary management to be more efficient, and their age made a significant difference to their consciousness of these things. Many teachers(63.1%) thought the measures to prevent and manage group food poisoning were relatively efficient. The male teachers expressed more affirmative view on the efficiency of school food expense management and menu preparation than female teachers, and there was a significant disparity between male and female teachers. 2) Elementary School Food Service Effect School food service was thought to be very effective for physical growth(74.1%) and physical strength improvement(70.1%). Teachers at smaller school revealed more affirmative response toward school food service effect on correcting an unbalanced diet, and older teachers considered its effect on nutrition knowledge acquisition and learning outcome to be more great. Teachers at larger school put less value on its effect on table manners, and school size produced a significant difference. The number of teachers who thought school food service generally raised parent concern and support for school(36.6%) was a little more than that of teachers who didn't think so(15.2%). And the number of teachers who didn't consider its effect on improving parent food life to be good(29.3%) was slightly more than that of teachers who did. 3) School Food Service Reform Measure What's most urgently needed for better school food service management appeared to be an expansion of facilities concerned, followed by more effective food distribution and transport, cooking room's better sanitary management, more successful food poisoning prevention and management, more effective food expense management, and an increase of food service personnel in the order named. The most effective means of school food service education was found to be a creation of link system to family, followed by a development of school food service education program, a development of teaching materials, an insertion of school food service in curriculum, and teacher education in the order named.

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A Comparison of Students' Reasoning Shown in Solving Open-Ended and Multiple-Choice Problems (개방형 문제와 선택형 문제 해결에 나타난 학생의 추론 비교)

  • Lee, Myoung Hwa;Kim, Sun Hee
    • School Mathematics
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    • v.19 no.1
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    • pp.153-170
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    • 2017
  • This study conducted an analysis of types of reasoning shown in students' solving a problem and processes of students' reasoning according to type of problem by posing an open-ended problem where students' reasoning activity is expected to be vigorous and a multiple-choice problem with which students are familiar. And it examined teacher's role of promoting the reasoning in solving an open-ended problem. Students showed more various types of reasoning in solving an open-ended problem compared with multiple-choice problem, and showed a process of extending the reasoning as chains of reasoning are performed. Abduction, a type of students' probable reasoning, was active in the open-ended problem, accordingly teacher played a role of encouragement, prompt and guidance. Teachers posed a problem after varying it from previous problem type to open-ended problem in teaching and evaluation, and played a role of helping students' reasoning become more vigorous by proper questioning when students had difficulty reasoning.

A Survey on Teachers' Perceptions of Gasses for the Science Gifted in Elementary School (초등과학 영재학급 담당 교사의 영재 교육에 대한 인식 조사)

  • Choi, Sun-Young
    • Journal of Korean Elementary Science Education
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    • v.26 no.3
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    • pp.252-259
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    • 2007
  • The purpose of this study was to examine the status and science teachers' perceptions of classes for those gifted in science in elementary school. For this purpose, a number of questions were posed to teachers : 27-item-questionnaires were given to 38 teachers of students gifted in science in elementary schools located in Incheon province. The results of this study were as follows : 1. most elementary teachers were in charge of classes containing students gifted in science, but this was the case with only a few secondary teachers. Therefore, it appears to be more necessary to educate elementary teachers who majored in science content and gifted education. 2. In addition, most teachers had positive perceptions of the needs, attitudes and environments needed for gifted education. Most of them attended 60-hour training programs on gifted education. They thought that it was helpful in understanding the characteristics of gifted students, but they wanted to learn more about actual pedagogical methods through such programs. 3. The teaching methods used in classes for those gifted in science were mainly experimental activities, but there were few opportunities for creative problem solving and project learning. This may be due to limited class time of about one hour every two weeks in this class. 4. When the materials used in class were first developed, they mainly used materials made by the city board of education and selected the theme of interest by themselves. Therefore, there may be problems of duplication of materials or systems regarding the science contents for one year. 5. Furthermore, the themes of the materials used were mostly related in terms of the contents of textbooks than more generally. When planning and managing the classes for those gifted in science, the above points should be considered in order to improve the education of those students gifted in science.

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