• Title/Summary/Keyword: Mathematical activities

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An Analysis on Teaching and Learning Strategies of Inquiry Tasks in the Elementary Moral Textbooks by Multiple Intelligence (다중지능을 이용한 초등학교 도덕 교과서 탐구 과제의 교수·학습 전략 분석)

  • Noh, Jeong-Im;Song, Gi-Ho;Yu, Jong-Youl
    • Journal of the Korean Society for Library and Information Science
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    • v.51 no.2
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    • pp.5-22
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    • 2017
  • The purpose of this study is to analyze the teaching and learning strategies included in the inquiry tasks of elementary moral textbooks with multiple intelligences (M.I), and to propose educational information services of teacher librarians. It was found that the tasks were mainly designed by the linguistic intelligence, logical & mathematical intelligence and spatial intelligence. In terms of the information literacy process, linguistic intelligence and spatial intelligence are mainly applied to the analysis-understanding stage. Logical & mathematical intelligence is applied to the stage of comprehensive-application and linguistic intelligence is applied to expression-delivery step. In order to cultivate the insufficient M.I in inquiry activities, teacher librarians should improve room and teaching materials of their school library and provide workbooks using the graphic organizer after analyzing the linkage of the inquiry tasks between the subjects.

Modeling of Arrhythmogenic Automaticity Induced by Stretch in Rat Atrial Myocytes

  • Youm, Jae-Boum;Leem, Chae-Hun;Zhang, Yin Hua;Kim, Na-Ri;Han, Jin;Earm, Yung-E.
    • The Korean Journal of Physiology and Pharmacology
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    • v.12 no.5
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    • pp.267-274
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    • 2008
  • Since first discovered in chick skeletal muscles, stretch-activated channels (SACs) have been proposed as a probable mechano-transducer of the mechanical stimulus at the cellular level. Channel properties have been studied in both the single-channel and the whole-cell level. There is growing evidence to indicate that major stretch-induced changes in electrical activity are mediated by activation of these channels. We aimed to investigate the mechanism of stretch-induced automaticity by exploiting a recent mathematical model of rat atrial myocytes which had been established to reproduce cellular activities such as the action potential, $Ca^{2+}$ transients, and contractile force. The incorporation of SACs into the mathematical model, based on experimental results, successfully reproduced the repetitive firing of spontaneous action potentials by stretch. The induced automaticity was composed of two phases. The early phase was driven by increased background conductance of voltage-gated $Na^+$ channel, whereas the later phase was driven by the reverse-mode operation of $Na^+/Ca^{2+}$ exchange current secondary to the accumulation of $Na^+$ and $Ca^{2+}$ through SACs. These results of simulation successfully demonstrate how the SACs can induce automaticity in a single atrial myocyte which may act as a focus to initiate and maintain atrial fibrillation in concert with other arrhythmogenic changes in the heart.

The Effects of Computational Thinking-based Instruction Integrating of Mathematics Learning and Assessment on Metacognition and Mathematical Academic Achievements of Elementary School Students (학습과 평가를 통합한 컴퓨팅 사고력 기반의 수업이 초등학생의 메타인지와 수학학업성취도에 미치는 영향)

  • Sim, Hyo Shin;Park, Mangoo
    • Education of Primary School Mathematics
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    • v.22 no.4
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    • pp.239-259
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    • 2019
  • The 2015 revised mathematics curriculum specified software education as a mandatory curriculum amid a trend in which the software environment was extended to daily life due to the fourth industrial revolution. It also calls for a paradigm shift in lessons that incorporate learning and evaluation by specifying a process-oriented assessment. This study focused on addition and subtraction classes based on computational thinking skills that integrate mathematics learning and evaluation. Two fourth grade classes of elementary schools in Seoul were selected to conduct a pre- and post- test of metacognition and mathematics achievement through quantitative research. Also, a mixed study was conducted to analyze students' activities and opinions in parallel. The results of the study confirmed that the computational thinking-based classes, which incorporate mathematics learning and evaluation, had a positive effect on the metacognition of elementary school students and the improvement of their achievement scores. In addition to those identified in this study, further studies on other factors are proposed.

Comparative study of the effects in using geofix and cabri 3D on folding nets' activities (전개도 과제에서 지오픽스와 Cabri 3D를 활용한 학습의 효과 비교)

  • Seo, Hwajin;Lee, Kwangho
    • The Mathematical Education
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    • v.60 no.2
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    • pp.159-172
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    • 2021
  • The purpose of this study is to compare and analyze the effects of physical manipulative and exploratory geometry software on the spatial sense for 5th grade elementary school students in learning nets. For this purpose, ton experimental group used Geofix, an operational learning tool, and the experimental group used Cabri 3D, an exploratory geometry software to learn the nets of solids. The comparison group was learned by worksheet only without any manipulative or software. Spatial sense tests were conducted before and after to determine the level, and eye tracking were used to analyze the strategies of students in solving nets problems. As a result, it was confirmed that the using Geofix group was the most effective for the spatial sense, and Cabri 3D could also be a good tool for learning the nets of solids. In addition, after learning the nets of solids, the analytical strategy, which was the most effective strategy for students' solving strategies, increased. In the process of solving spatial tasks such as the spatial sense tasks, eye tracking technology become a very useful tool for exploring students' strategies, so it is expected that objective and useful data will be collected through more active use in the future.

A Fabrication of an Angle Trisection Tool Using Veprtskii's Method (Veprtskii의 방법을 활용한 각의 삼등분 도구 제작)

  • Han, Inki
    • Communications of Mathematical Education
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    • v.36 no.4
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    • pp.627-644
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    • 2022
  • In this study various angle trisection tools based on Archimedes' insertion method were investigated, some tools were fabricated and their characteristics were compared. Through these works, it was found that factors such as the convenience of use, arbitrariness of the trisected angle, and simplicity of structure should be considered in the production and utilization of the trisection tool. Considering the factors described above, attention was paid to the method proposed by Veprtskii A.I. in 1888 as a making method of the angle trisection tool. In this study, we improved the method proposed by Veprtskii A.I., we used two wooden chopsticks and a string to make an angle trisection tool. The improved trisection tool had fewer parts than other trisection tools, a simple structure, and more convenient usage. In particular, this tool divided an arbitrary angle(not a specific angle) into the same three parts, and the production cost was low and the production process was simple. This tool is expected to be widely used in concrete activities related to the properties of the exterior angles of triangles and the properties of isosceles triangles in mathematics classrooms.

An action research on a middle school mathematics teacher's lesson reflection: Focused on the teacher's discourse capability to promote students' participation (중학교 수학 교사의 수업 성찰 실행 연구: 학생의 참여를 촉진하는 교사의 담론 역량을 중심으로)

  • Park, Jinhwan;Shin, Bomi
    • The Mathematical Education
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    • v.61 no.1
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    • pp.63-82
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    • 2022
  • The aim of this study was to analyze the changing process in a middle school teacher's discourse capability through reflection to lessons, thereby providing the implications for activities to improve the quality of lessons. To that end, this study explored the characteristics of change in the teacher's discourse capability of promoting students' participation while the teacher repeated instruction implementation and meeting for reflecting the implementation. Through the reflection, the teacher noticed his own matters about dealing with the students' responses and presentations. By attempting to address the matters in the instructions and reflecting the attempt, the teacher was able to accelerate the students' participation in the lesson discourse through enhancing productivity and openness of the discourse. The result of this study demonstrated that lesson reflection beneficially influenced development of teaching profession related to discourse capability.

A Case Study on the Relationship between Indefinite Integral and Definite Integral according to the AiC Perspective (AiC 관점에 따른 부정적분과 정적분 관계 학습사례 연구)

  • Park, Minkyu;Lee, Kyeong-Hwa
    • Communications of Mathematical Education
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    • v.36 no.1
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    • pp.39-57
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    • 2022
  • This study aims to design an integral instruction method that follows the Abstraction in Context (AiC) framework proposed by Hershkowitz, Schwarz, and Dreyfus to help students in acquiring in-depth understanding of the relationship between indefinite integrals and definite integrals and to analyze how the students' understanding improved as a result. To this end, we implemented lessons according to the integral instruction method designed for eight 11th grade students in a science high school. We recorded and analyzed data from graded student worksheets and transcripts of classroom recordings. Results show that students comprehend three knowledge elements regarding relationship between indefinite integral and definite integral: the instantaneous rate of change of accumulation function, the calculation of a definite integral through an indefinite integral, and The determination of indefinite integral by the accumulation function. The findings suggest that the AiC framework is useful for designing didactical activities for conceptual learning, and the accumulation function can serve as a basis for teaching the three knowledge elements regarding relationship between indefinite integral and definite integral.

A Study on Inductive Reasoning and Visualization of Elementary School Students in Congruence and Symmetry Lessons with Exploratory Software (탐구형 소프트웨어를 활용한 합동과 대칭 수업에서 나타나는 초등학생의 귀납적 추론과 시각화에 관한 연구)

  • Park, Jiyeon;Kim, Min Kyeong
    • Communications of Mathematical Education
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    • v.37 no.2
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    • pp.299-327
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    • 2023
  • In this study, we tried to find out the level of inductive reasoning ability and the aspects of visualization components shown in students in the class using exploratory software for the 'congruence and symmetry' unit in the second semester of the 5th grade of elementary school. To this end, classes using GeoGebra, one of the exploratory software, were conducted for a total of 19 students in one class of fifth graders in elementary school, and the results of the students' activities were analyzed. As a result of this study, the level of inductive reasoning ability of students remained at a similar level or developed, and it was shown that students inferred new properties of shapes using various functions of software inductively. In addition, in terms of visualization, students were able to quickly and easily draw shapes that met the conditions, and unlike the paper-and-pencil environment, using the 'measurement' and 'symmetry' functions, they transformed and manipulated complex yet precisely congruent and symmetrical external representations. Based on these analysis results, implications for the use of exploratory software in the area of figures were derived.

The Analysis of the Flow and Visual Representation of Simplification, Common Denominators, and Addition and Subtraction of Compound Fractions in Elementary Mathematics Textbooks (초등 수학 교과서의 약분과 통분 및 이분모분수 덧셈과 뺄셈 차시 흐름 및 시각적 표현 분석)

  • Kang, Yunji
    • Communications of Mathematical Education
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    • v.37 no.2
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    • pp.213-231
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    • 2023
  • The purpose of this study was to analyze and derive pedagogical implications from elementary mathematics textbooks that align with the revised 2015 curriculum. Specifically, the focus was on the chapters related to simplifying fractions, finding a common denominator, and performing addition and subtraction of Fractions with Different Denominators. The analysis revealed that the overall structure of these chapters was similar across the textbooks, but variations existed in terms of the main activities and the textbook organization. Furthermore, different textbooks employed various types and quantities of visual representations. When designing lesson directions and content, it is crucial to consider the strengths and weaknesses of each visual representation.

The Effect of Interleaved-practice by the Discriminative-contrast hypothesis in Mathematics (수학학습에서 구분-대조 가설에 의한 교차연습의 효과)

  • Ryu, Jimin;Park, Mijeong
    • Communications of Mathematical Education
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    • v.37 no.2
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    • pp.199-212
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    • 2023
  • The purpose of this study is to find out whether there is a difference in achievement between blocked practice and interleaved practice according to the difference in domain and type of learning content in mathematics subject, and through this result, it is to confirm whether the effect of interleaved practice in mathematics learning is due to the 'Discriminative-contrast Hypothesis' or the 'Distributed-practice Hypothesis'. Although interleaved practice is more effective than blocked practice, previous studies have not shown consistent results regarding the cause. Therefore, in this study, 103 first-year middle school students were randomly assigned to blocked practice, interleaved practice, remote blocked practice, and remote interleaved practice groups had learning activities over 4 times. The results reveals that the effect of interleaved practice appeared in similar types in the same domain, but the effect of interleaved practice did not appear in different types in different domain. In addition, through this result, it was confirmed that the effect of interleaved practice was due to the 'Discriminative-contrast hypothesis' rather than the 'Distributed-practice hypothesis'. Further research topics were suggested after the issues on the research method and the findings were discussed.