• Title/Summary/Keyword: teaching about problem solving

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The Influence on the Learning Attitude of the Development and Application of Mathematical Performance Assessment Tasks - Focused on 1st Grade Middle School Students - (수학과 수행평가과제의 개발 및 적용이 수학 학습 태도에 미치는 영향 - 중학교 1학년을 중심으로 -)

  • 정재영
    • Journal of the Korean School Mathematics Society
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    • v.4 no.2
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    • pp.61-74
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    • 2001
  • The purposes of this study are to develop the mathematical performance assessment tasks and to apply them to the middle school students. And I also intend to know the students' inclination and learning attitude to mathematics. In order to satisfy this study, I developed the performance assessment tasks and the standard program of marking about the mathematical function and statistics for the first grade students at middle school. After examining the students' basic investigation, their inclination and learning attitude to mathematics, I applied these developed tasks to them After that I put both classes and performance assessment into operation in all 15 periods. I set up two classes of the first grade students (49 students) at J middle school in Kongju, Chungcheongnam-do as a model group. The results of this study are as follows: First, owing to the developed performance assessment tasks of function and statistics, the teachers can operate the assessment system as a process of teaching and learning. Second, because of the application of mathematical performance assessment tasks, we can change the students' inclination and learning attitude to mathematics affirmatively. And by using these tasks, we can help the students to think mathematically. In this way, the students will be able to realize the real value of mathematics and have a growing interest in mathematics through all these meaningful processes. Judging from this study, we can elevate the students' abilities of problem solving and reasoning and improve teaching-learning method by applying the performance assessment tasks to them. Thanks to these tasks, the students will be changed affirmatively in their inclination and learning attitude to mathematics. I think that these tasks are very good assessment method which can call forth curiosity and interest. Besides, they can also help the students realize the real value of mathematics.

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Comparative Analysis of Generalization and Justification of the Mathematically Gifted 6th Graders by Learning Styles (초등학교 6학년 수학영재학생들의 학습유형에 따른 일반화 및 정당화 비교 분석)

  • Yu, Migyoung;Chang, Hyewon
    • Journal of Educational Research in Mathematics
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    • v.27 no.3
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    • pp.391-410
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    • 2017
  • This study aims to analyze mathematically gifted students' characteristics of generalization and justification for a given mathematical task and induce didactical implications for individual teaching methods by students' learning styles. To do this, we identified the learning styles of three mathematically gifted 6th graders and observed their processes in solving a given problem. Paper-pencil environment as well as dynamic geometrical environment using Geogebra were provided for three students respectively. We collected and analyzed qualitatively the research data such as the students' activity sheets, the students' records in Geogebra, our observation reports about the processes of generalization and justification, and the records of interview. The results of analysis show that the types of the students' generalization are various while the level of their justifications is identical. Futhermore, their preference of learning environment is also distinguished. Based on the results of analysis, we induced some implications for individual teaching for mathematically gifted students by learning styles.

Analysis on the Principles for Teaching Algebra Revealed in Clairaut's (Clairaut의 <대수학 원론>에 나타난 대수 지도 원리에 대한 분석)

  • Chang, Hye-Won
    • Journal of Educational Research in Mathematics
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    • v.17 no.3
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    • pp.253-270
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    • 2007
  • by A.C. Clairaut was written based on the historico-genetic principle such as his . In this paper, by analyzing his we can induce six principles that Clairaut adopted to teach algebra: necessity and curiosity as a motive of studying algebra, harmony of discovery and proof, complementarity of generalization and specialization, connection of knowledge to be learned with already known facts, semantic approaches to procedural knowledge of mathematics, reversible approach. These can be considered as strategies for teaching algebra accorded with beginner's mind. Some of them correspond with characteristics of , but the others are unique in the domain of algebra. And by comparing Clairaut's approaches with school algebra, we discuss about some mathematical subjects: setting equations in relation to problem situations, operations and signs of letters, rule of signs in multiplication, solving quadratic equations, and general relationship between roots and coefficients of equations.

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Instructional Design Model Development for Continuous Creativity-Personality Education based on NFTM-TRIZ (NFTM-TRIZ에 근거한 지속적인 창의·인성 교육을 위한 수업설계모형 구안)

  • Kim, Hoon-Hee
    • The Journal of the Korea Contents Association
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    • v.13 no.8
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    • pp.474-481
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    • 2013
  • The purpose of this study is that pre-service teacher are able to design creative instruction based on NFTM-TRIZ for building up their continuous creative thinking and promoting their creative instruction activities. NFTM-TRIZ is a educational technology system to form and develop creative thinking from child to adult continuously based on TRIZ theory. TRIZ is the thinking technique of creative problem solving that can be the tool of inventory solutions by finding and get over the key of contradiction that is necessary to obtain ideal final results of suggested problems. The subjects for this study were 90 pre-service teachers who are attending third and fourth graders of Teachers' College in G university and are taking 'Curriculum and Educational Evaluation'. The creativity program for this study was carried out for ten minutes at the end of lectures. The verification for this study results were performed two faces. First, pre-service teachers presented teaching and learning plan for one time used 8 Steps' Teaching and Learning Model based on NFTM-TRIZ. Second, researcher got feedback from them about this creative program.

Analysis on the Characteristics of National Assessment of Educational Achievement (NAEA) Items for Science Subject: With a Focus on Optics (국가수준 학업성취도 평가의 과학 문항 특성 분석 : 광학 내용을 중심으로)

  • Lee, Bongwoo;Lee, Inho
    • Journal of The Korean Association For Science Education
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    • v.35 no.3
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    • pp.465-475
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    • 2015
  • The purpose of this study is to analyze the results of physics (optics) in nationwide standardized assessment and to investigate middle-school students' characteristics of achievement by using an option response rate distribution curve. For this purpose, we analyzed the 10 optics problems from the National Assessment of Educational Achievement (NAEA) items for middle school science subject conducted in 2010-2013. The results of this study are as follows; First, students showed a little higher achievement in optics than classical mechanics and electromagnetism. Second, students achieved significantly worse in 'formation of image' in 'light' part and 'variation of phase in propagation of wave' in 'wave' part. Third, students showed a context-dependent problem solving strategy and result. Additionally, we suggested some implications about the readjustment of some optics concepts level of national science curriculum, the need for teaching and learning strategies for basic level students, and the need for teaching and learning strategies focused on the realistic context.

Development and Utilization of Mathematics Teaching Materials for Gifted Class by the Use of Polyominoes and What if (not)? Strategy (폴리오미노에 What if (not)? 전략을 적용한 영재 학급용 수학 수업 소재 발굴과 활용)

  • Ku, Bon-Wang;Song, Sang-Hun
    • School Mathematics
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    • v.13 no.1
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    • pp.175-187
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    • 2011
  • The purpose of this study is to develop and utilize various kinds of mathematics teaching materials for gifted class in elementary school by utilizing polyominoes and a what-if-not strategy. Blokus is used to let students understand the characteristics of polyominoes, and omok is utilized to let them grasp interior point. Thus, the activities that utilized the new materials, blokus and omok, are developed to teach Pick's theorem. Besides, recreation activities were additionally prepared to provide education in an easy, intriguing and creative manner. The findings of the study is as follows: First, each of the materials was utilized in a different manner when the students engaged in basic and enrichment learning. Second, the mathematically gifted students were able to discover Pick's theorem in the course of utilizing the materials that contained recreational elements. Third, the students were taught to foster their problem-solving skills about area, girth and interior point by making use of the materials that were designed to be linked to each other. Fourth, existing programs were just designed to attain particular objects, to be conducted at a fixed time and to cater to particular graders. Fifth, when the students made problems by making use of the what if (not) strategy and the materials, they responded in diverse ways and were able to apply them.

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A Comparative Study on Fashion Design Education in Europe and Korea -Focus on the Educational Cases in the UK, France, Italy and Korea- (유럽과 한국의 패션디자인 교육에 관한 비교연구 -영국, 프랑스, 이태리, 한국의 교육사례를 중심으로-)

  • Choi, Kyung-Hee
    • Journal of the Korean Society of Clothing and Textiles
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    • v.35 no.10
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    • pp.1199-1214
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    • 2011
  • This study suggests the direction of fashion design education suitable for Korea by comparing the fashion design educational systems and the curricula of the main fashion institutions in Europe and those of some universities in Korea. For this, 6 fashion schools in UK, France and Italy and 12 four-year-course universities in Korea were sellected. At first, the educational systems of the nations above and the information about the selected institutions were examined through literature reviews. Then, case studies were performed about the curricula and the other characteristics of the selected fashion design courses by each website or leaflet as well as additional interviews with their course directors or graduates. The results of this study are as follow: First, Korean fashion design education system needs to be specialized and subdivided with a curriculum centered on fashion design. Second, a foundation course needs to be developed to raise a broad and creative approach for design as well as to discover each student's aptitude. Third, the curricula about design process and research methodology need to raise a problem-solving individual of ability. Fourth, a project-based fashion design education is required by a specialized education as well as multi-disciplinary programs. Fifth, an industry- related and market-based fashion design education is asked through internships, professional teaching staff, industry-sponsored projects, seminars and professional design critics. Sixth, English and technology needs to be added to the curricula to develop global professionals. Finally, a cultural fashion design education based on Korean identity is required to develop the Korean fashion industry into a higher value-added business.

How To Teach The Quadratic Curves Through Historical Overview (역사적 고찰을 통한 이차곡선의 지도방안)

  • Jang, Mi-Ra;Kang, Soon-Ja
    • Communications of Mathematical Education
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    • v.24 no.3
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    • pp.731-744
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    • 2010
  • Nowadays in school mathematics, the skill and method for solving problems are often emphasized in preference to the theoretical principles of mathematics. Students pay attention to how to make an equation mechanically before even understanding the meaning of the given problem. Furthermore they do not get to really know about the principle or theorem that were used to solve the problem, or the meaning of the answer that they have obtained. In contemporary textbooks the conic section such as circle, ellipse, parabola and hyperbola are introduced as the cross section of a cone. But they do not mention how conic section are connected with the quadratic equation or how these curves are related mutually. Students learn the quadratic equations of the conic sections introduced geometrically and are used to manipulating it algebraically through finding a focal point, vertex, and directrix of the cross section of a cone. But they are not familiar with relating these equations with the cross section of a cone. In this paper, we try to understand the quadratic curves better through the analysis of the discussion made in the process of the discovery and eventual development of the conic section and then seek for way to improve the teaching and learning methods of quadratic curves.

Development and application of the Smart Learning Teaching-Learning Program in Elementary Science Class - Focused on the unit of Solar System and Star (초등과학에서 스마트러닝 교수·학습 프로그램의 개발과 적용 - 태양계와 별 단원을 중심으로)

  • Yun, Hee Geon;Choi, Sun-Young
    • Journal of Science Education
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    • v.39 no.3
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    • pp.321-332
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    • 2015
  • This study was intended to determine how developed Smart learning teaching-learning program on the unit of Solar system and Star affected on science-related attitude, science learning interest and academic achievement. The unit of Solar system and Star was selected among 5th grade science curriculum contents to design smart learning teaching-learning program. Smart learning instruction program utilized a various contents of smart equipment and made learners to do problem solving through their interaction and cooperation. The results of this study were as follows: First, smart learning instruction improved the science-related attitude and the science learning interest and the academic achievement of the experimental group students significantly. Sencond, the survey and the individual face-to-face data shows the positive effects of smart learning instruction. Especially, the satisfaction was high on the attitudes and interests in the classroom and the students regarded the classroom activities as interesting games by using the smart devices. On the basic of the conclusions, this work suggested the direction of the future studies, such as necessity of developments and researches on Smart learning teaching-learning program about other units or other subjects, such as measures of the increasing the intrinsic interest on science rather than Smart learning elicit simple interest and attitude.

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A Study of Teaching Math Underachievers Using Flipped Classroom (거꾸로 교실을 활용한 수학학습부진아의 학습지도에 관한 연구)

  • Kim, Hwan-Cheol;Kang, Soon-Ja
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.521-536
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    • 2017
  • One of difficulties with which teachers meet is to have underachievers with no willingness and motivation for study involved in class. Mathematics underachiever are average or above average in their intelligence but their actual achievement in mathematics did not coincide to their intellectual capabilities. The teaching strategy for them is to motivate them to try to study mathematics and to experience the improvement in their mathematics grade. In this paper, we choose flipped classroom as the strategy of teaching basic mathematics to math underachievers and applied it to them. Then we wanted to make sure the possibility for applying flipped classroom to teaching math underachievers through the analysis of change in the scholastic achievement of students in mathematics and mathematical disposition. The results of this study are as followings; First, when we taught basic math to underachievers using a flipped classroom, we confirm that math underachievers with active participation improved scholastic achievements significantly. Second, the flipped classroom was led to positive effects in an affective domain. In particular, it showed the most noticeable change in the area of willingness to math problem-solving and perception about the value of mathematics.

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