• Title/Summary/Keyword: productive thinking

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Facilitating Productive Reflection of Pre-service Elementary Teachers through Reflective Journal Writing and Discussion about Science Peer Teaching Practice (과학 모의 수업에 대한 반성 저널 쓰기와 토론을 통한 초등 예비교사의 생산적 반성 증진)

  • Yoon, Hye-Gyoung
    • Journal of Korean Elementary Science Education
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    • v.32 no.2
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    • pp.113-126
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    • 2013
  • In this study, the researcher aimed to increase productive reflection of pre-service elementary teachers through reflective journal writing and discussion after science peer teaching practice. 'Productive reflection' involves consideration and analysis of interrelationships among aspects of teaching including learners and learning, subject matter knowledge, assessment, and instruction. During 8 week efforts, productive reflection has increased gradually in both individual journal and class discussion. However half of individual journals didn't show productive reflection even in the final stage. This implicated that development of reflective thinking is an achievable but progressive change. By describing the progress in discussion and participants' responses on journal writing and discussion activity, this study shed light on practical ways of enhancing reflective teacher education.

A Study on the Isoperimetric Problem in a Plane focused on the Gestalt's View for the mathematically Gifted Students in the Elementary School (초등수학 영재를 위한 평면에서의 등주문제 고찰 -게슈탈트 관점을 중심으로-)

  • Choi, Keun-Bae
    • School Mathematics
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    • v.11 no.2
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    • pp.227-241
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    • 2009
  • The isoperimetric problem has been known from the time of antiquity. But the problem was not rigorously solved until Steiner published several proofs in 1841. At the time it stood at the center of controversy between analytic and geometric methods. The geometric approach give us more productive thinking (insight, structural understanding) than the analytic method (using Calculus). The purpose of this paper is to analysis and then to construct the isoperimetric problem which can be applied to the mathematically gifted students in the elementary school. The theoretical backgrounds of our analysis about our problem are based on the Gestalt psychology and mathematical reasoning. Our active program about the isoperimetric problem constructed by the Gestalt's view will contribute to improving a mathematical reasoning and to serving structural (relational) understanding of geometric figures.

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Fostering Students' Statistical Thinking through Data Modelling

  • Ken W. Li
    • Research in Mathematical Education
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    • v.26 no.3
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    • pp.127-146
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    • 2023
  • Statistical thinking has a broad definition but focuses on the context of regression modelling in the present study. To foster students' statistical thinking within the context, teaching should no longer be seen as transfer of knowledge from teacher to students but as a process of engaging with learning activities in which they develop ownership of knowledge. This study aims at collaborative learning contexts; students were divided into small groups in order to increase opportunities for peer collaboration. Each group of students was asked to do a regression project after class. Through doing the project, they learnt to organize and connect previously accrued piecemeal statistical knowledge in an integrated manner. They could also clarify misunderstandings and solve problems through verbal exchanges among themselves. They gave a clear and lucid account of the model they had built and showed collaborative interactions when presenting their projects in front of class. A survey was conducted to solicit their feedback on how peer collaboration would facilitate learning of statistics. Almost all students found their interaction with their peers productive; they focused on the development of statistical thinking with concerted effort.

Characteristics and Changes in Scientific Empathy during Students' Productive Disciplinary Engagement in Science (학생들의 생산적 과학 참여에서 발현되는 과학공감의 특성과 변화 분석)

  • Heesun, Yang;Seong-Joo, Kang
    • Journal of The Korean Association For Science Education
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    • v.44 no.1
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    • pp.11-27
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    • 2024
  • This study aimed to investigate the role of scientific empathy in influencing students' productive disciplinary engagement in scientific activities and analyze the key factors of scientific empathy that manifest during this process. Twelve fifth-grade students were divided into three subgroups based on their general empathic abilities. Lessons promoting productive disciplinary engagement, integrating design thinking processes, were conducted. Subgroup discourse analysis during idea generation and prototype stages, two of five problem-solving steps, enabled observation of scientific empathy and practice aspects. The results showed that applying scientific empathy effectively through design thinking facilitated students' productive disciplinary engagement in science. In the idea generation stage, we observed an initial increase followed by a decrease in scientific empathy and practice utterances, while during the prototyping stage, utterance frequency increased, particularly in the later part. However, subgroups with lower empathic abilities displayed decreased discourse frequency in scientific empathy and practice during the prototype stage due to a lack of collaborative communication. Across all empathic ability levels, the students articulated all five key factors of scientific empathy through their utterances in situations involving productive science engagement. In the high empathic ability subgroup, empathic understanding and concern were emphasized, whereas in the low empathic ability subgroup, sensitivity, scientific imagination, and situational interest, factors of empathizing with the research object, were prominent. These results indicate that experiences of scientific empathy with research objects, beyond general empathetic abilities, serve as a distinct and crucial factor in stimulating diverse participation and sustaining students' productive engagement in scientific activities during science classes. By suggesting the potential multidimensional impact of scientific empathy on productive disciplinary engagement, this study contributes to discussions on the theoretical structure and stability of scientific empathy in science education.

The Relationship between Mathematics Teachers' Noticing and Responsive Teaching:In the Context of Teaching for All Students' Mathematical Thinking (수학 교사의 주목하기와 반응적 교수의 관계:모든 학생의 수학적 사고 계발을 지향하는 수업 상황에서)

  • Kim, Hee-jeong;Han, Chaereen;Bae, Mi Seon;Kwon, Oh Nam
    • The Mathematical Education
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    • v.56 no.3
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    • pp.341-363
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    • 2017
  • This case study contributes to the efforts on identifying the essential features of responsive teaching practice where students' mathematical thinking is central in instructional interactions. We firstly conceptualize responsive teaching as a type of teachers' instructional decisions based on noticing literature, and agree on the claim which teachers' responsive decisions should be accounted in classroom interactional contexts where teacher, students and content are actively interacting with each other. Building on this responsive teaching model, we analyze classroom observation data of a 7th grade teacher who implemented a lesson package specifically designed to respond to students' mathematical thinking, called Formative Assessment Lessons. Our findings suggest the characteristics of responsive teaching practice and identify the relationship between noticing and responsive teaching as: (a) noticing on students' current status of mathematical thinking by eliciting and anticipating, (b) noticing on students' potential conceptual development with follow-up questions, and (c) noticing for all students' conceptual development by orchestrating productive discussions. This study sheds light on the actual teachable moments in the practice of mathematics teachers and explains what, when and how to support teachers to improve their classroom practice focusing on supporting all students' mathematical conceptual development.

The Effect of Physical Computing Education to Improve the Convergence Capability of Secondary Mathematics-Science Gifted Students (중등 수학과학 영재를 위한 피지컬컴퓨팅 교육이 융합적 역량 향상에 미치는 영향)

  • Kim, Jihyun;Kim, Taeyoung
    • The Journal of Korean Association of Computer Education
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    • v.19 no.2
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    • pp.87-98
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    • 2016
  • Our study is composed of Arduino robot assembly, board connecting and collaborative programming learning, and it is to evaluate their effect on improving secondary mathematics-science gifted students' convergence capability. Research results show that interpersonal skills, information-scientific creativity and integrative thinking disposition are improved. Further, by analyzing the relationship between the sub-elements of each thinking element, persistence and imagination for solving problems, interest of scientific information, openness, sense of adventure, a logical attitude, communication, productive skepticism and so on are extracted as important factors in convergence learning. Thus, as the result of our study, we know that gifted students conducted various thinking activities in their learning process to solve the problem, and it can be seen that convergence competencies are also improved significantly.

A Study on the Relation of Science-gifted Student's Triarchic Intelligence, Thinking Styles and Academic Performance (과학영재의 학업성취에 대한 삼원지능과 사고양식의 영향 연구)

  • Lim, Jae-Ryung;Yoo, Gu-Sik;Na, Dong-Jin
    • Journal of Gifted/Talented Education
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    • v.13 no.4
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    • pp.95-117
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    • 2003
  • This study is to suggest the alternative to limits of intelligence focused on Psychometric tests. Through this study, it was found that triarchic theory of intelligence and thinking styles, which were suggested by Sternberg, were useful. The subjects are 122 student who are at three science-high-schools. The results show that the subjects preferred judicial, executive, and hierarchical rather than conservative styles of thinking, and they had strong analytical, creative, and practical ability. The correlation between academic achievement and triarchic intelligence except automation was significant. The difference of academic achievements was not significant by styles of thinking related to creativity and pattern of triarchic intelligence. There was no interaction between two variables as we expected. The practical ability illustrated the total academic performance very well. And executive, judicial thinking styles were prediction variable in case of considering with triarchic intelligence. Through the results, it could be suggested that triarchic intelligence and thinking styles of non cognitive concept could be important standard referred to selection for the science-gifted, and argued that the reform of the science-high-school was needed to produce the creative-productive science-gifted student.

A Study on the Creativity and Convergence Competency Represented in the New Seventh Grade Mathematics Textbook (2015 개정 수학 교과서에 반영된 창의·융합 역량 요소 탐색 - 중학교 1학년 그래프 단원을 중심으로 -)

  • Hwang, Hye Jeang
    • Communications of Mathematical Education
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    • v.32 no.4
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    • pp.477-493
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    • 2018
  • The six core competencies included in the mathematics curriculum Revised in 2015 are problem solving, reasoning, communication, attitude and practice, creativity and convergence, information processing. In particular, the creativity and convergence competency is very important for students' enhancing much higher mathematical thinking. Based on the creativity and convergence competency, this study selected the five elements of the creativity and convergence competency such as productive thinking element, creative thinking element, the element of solving problems in diverse ways, and mathematical connection element, non-mathematical connection element. And also this study selected the content(chapter) of the graph in the seventh grade mathematics textbook. By the subject of the ten kinds of textbook, this study examined how the five elements of the creativity and convergence competency were shown in each textbook.

A Study on the Equiangular Problem in the Isoperimetric Problem of Polygons (다각형의 등주문제에서 등각의 문제 고찰)

  • Lee, Jaun;Choi, Keunbae
    • East Asian mathematical journal
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    • v.31 no.4
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    • pp.445-458
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    • 2015
  • In this paper, we provide a geometrical solving method about the equiangular problem appeared in the solving process of the isoperimetric problem of polygon. In fact we deal with the following problem in the view of the productive thinking centered on the circle: Let B and G be fixed points, and let $\bar{AB}=\bar{AP_1}=\bar{DP_1}=\bar{DP_2}=\bar{FP_2}=\bar{FP_3}=\bar{HP_{n-1}}=\bar{HG}$. Then find the position of moving points $P_i(1{\leq}i{\leq}n)$ to maximize the sum of areas of the triangles that lie on the line segment $\bar{BG}$.

Theoretical Terrains and Design Strategies of Landscape Urbanism (Landscape Urbanism의 이론적 지형과 설계 전략)

  • 배정한
    • Journal of the Korean Institute of Landscape Architecture
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    • v.32 no.1
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    • pp.69-79
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    • 2004
  • This Paper examines theoretical terrains and design strategies of landscape urbanism which is an emerging hybrid field at the intersection of architecture, landscape architecture, and urbanism. Landscape urbanism offers alternative approaches for theory, education, and practice in contemporary landscape architecture. It views the emergent urban complex sites-post-industrial sites, landfill, brownfield, urban void, etc., not as a weakness, but as a strength. Landscape urbanism poses an understanding of landscape as an element of urban infrastructure. In this sense, the landscape is seen in the context of contemporary urban development and public works. As a complex amalgam, landscape urbanism is more than a design style it is an ethos, an attitude, a way of thinking and acting. We can chart the main characteristics of landscape urbanism such as horizontality and surface, infrastructure, process, technique, and ecology. Multilayered examples of landscape urbanism can be seen in several experimental practices such as worts of Rem Koolhaas, MVRDV, Adriaan Geuze/West 8, James Comer, etc. It is possible to summarize the productive strategies for landscape urbanism as follows : thickening, folding, new materials, nonprogrammed use, impermanence, and movement.