• Title/Summary/Keyword: Mathematical Communication Ability

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Prediction of Dissolved Oxygen at Anyang-stream using XG-Boost and Artificial Neural Networks

  • Keun Young Lee;Bomchul Kim;Gwanghyun Jo
    • Journal of information and communication convergence engineering
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    • v.22 no.2
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    • pp.133-138
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    • 2024
  • Dissolved oxygen (DO) is an important factor in ecosystems. However, the analysis of DO is frequently rather complicated because of the nonlinear phenomenon of the river system. Therefore, a convenient model-free algorithm for DO variable is required. In this study, a data-driven algorithm for predicting DO was developed by combining XGBoost and an artificial neural network (ANN), called ANN-XGB. To train the model, two years of ecosystem data were collected in Anyang, Seoul using the Troll 9500 model. One advantage of the proposed algorithm is its ability to capture abrupt changes in climate-related features that arise from sudden events. Moreover, our algorithm can provide a feature importance analysis owing to the use of XGBoost. The results obtained using the ANN-XGB algorithm were compared with those obtained using the ANN algorithm in the Results Section. The predictions made by ANN-XGB were mostly in closer agreement with the measured DO values in the river than those made by the ANN.

Exemplary Teachers' Teaching Strategies for Teaching Word Problems (숙련된 교사의 문장제 문제해결 지도 전략 - 미국 교사들을 중심으로)

  • Lee, Kwang-Ho;Shin, Hyun-Sung
    • Journal of the Korean School Mathematics Society
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    • v.12 no.4
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    • pp.433-452
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    • 2009
  • This study investigated the teaching strategies of two exemplary American teachers regarding word problems and their impact on students' ability to both understanding and solving word problems. The teachers commonly explained the background details of the background of the word problems. The explanation motivated the students' mathematical problem solving, helped students understand the word problems clearly, and helped students use various solving strategies. Emphasizing communication, the teachers also provided comfortable atmosphere for students to discuss mathematical ideas with another. The teachers' continuous questions became the energy for students to plan various problem solving strategies and reflect the solutions. Also, this research suggested a complementary model for Polya's problem solving strategies.

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A study on the possibility and using method of portfolio in elementary mathematics class (초등학교 수학과 수업에서 포트폴리오의 활용 가능성과 그 적용 방안에 관한 연구)

  • 이명희;송상헌
    • School Mathematics
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    • v.4 no.3
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    • pp.331-346
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    • 2002
  • This study has two purposes. One is to know that it is Possible to use portfolio in the elementary math class. The other is to make a useful method for using portfolio. We got the following conclusion through the study. Portfolio gave students an opportunity that they could review their mathematical thinking. But it couldn't work very well for the low-level students. They didn't pay attention to the class. So, careful prepa-ration and training were necessary for the portfolio material. And the portfolio material must be prepared by appropriate contents. Teacher had to do math class by considering students ability. The math class could be much better for motivation, teaching-learning activity impro-vement and communication tool by using portfolio material. There are several imple-mentation processes in preparation, execution and utilization of the class. 1) Preparation: Teacher must decide if it is appropriate for portfolio by analyzing the course and textbook and set a final goal. And then teacher has to select an appropriate item and make a schedule for the class. The portfolio material must contain valuable things from which students learn mathematics and use in their life. The student level, utilization purpose and contents are considered when one prepares portfolio material. 2) Execution: Students are supposed to understand about the portfolio very well. It is important for them to get the opportunity for reviewing through math class diary, their opinion, friends opinion and teachers opinion. 3) Utilization: Parents review ameliorates the communication among teacher, student and parents about learning activity.

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A Study on Descriptive Assessment of Mathematics in Russia's Unified State Examination (러시아의 국가통합시험에서 수학교과의 서술형 평가 연구)

  • Han, Inki;Shin, Vladimir
    • Journal of Science Education
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    • v.46 no.1
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    • pp.121-149
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    • 2022
  • Descriptive assessment is a meaningful assessment method in relation to problem solving ability, reasoning ability, and communication ability as emphasized in mathematics curriculum. In Korea, as performance assessment has been emphasized since the 7th mathematics curriculum, descriptive assessment is being conducted as a method of performance assessment in schools. However, descriptive assessment has not been introduced in the university scholastic ability test for various reasons. Considering that descriptive assessment is emphasized in the mathematics classroom and has sufficient educational value, a serious discussion on the implementation of descriptive assessment in the university scholastic ability test will be necessary. In this study, we analyzed the descriptive assessment of Russia's unified state examination (USE) in the mathematics, which corresponds to Korea's university scholastic ability test. Through a literature review, we investigated how mathematics examination problems were structured in the USE and which mathematical abilities were required for the examination. In particular, the outer structure of the problems was analyzed focusing on the mathematics problems of the USE 2021, and the scoring method of the descriptive problems was also analyzed. The results of this study are expected to provide a variety of information on the possibility of introducing descriptive assessment in the Korean university scholastic ability tests.

A Study for Improving Differentiated Mathematics Instruction Using Open Problems and Inventing Open Problems in the Elementary School (초등학교 수준별 수학 수업에서 열린 문제의 활용과 열린 문제 구성 방법에 관한 연구)

  • Lee, Chong-Young
    • School Mathematics
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    • v.14 no.3
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    • pp.315-330
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    • 2012
  • Mathematics educators have tried to teach mathematics to all students who are at any mathematical level by differentiated math instruction from late 1990s in Korea. The common differentiated math instruction separates students into two or three groups according to their mathematical ability and then different activities and tasks are given to each group. This kind of instruction fosters negative attitudes to mathematics to low level students and fix them at low level. So I investigated new mathematics instruction considering able students and low attainers at the same time. This new method is based on using open problems in math class. All students can respond to an open problem in different ways. If teachers could relate all varieties of answers got from students at every level to build good understanding the concept which the problem target at, low attainers could move to their potential developmental levels. This kind of instruction can change low math attainers' negative attitudes to good ones to mathematics and foster their confidence in performing mathematics.

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Development and Application of Statistical Programs Based on Data and Artificial Intelligence Prediction Model to Improve Statistical Literacy of Elementary School Students (초등학생의 통계적 소양 신장을 위한 데이터와 인공지능 예측모델 기반의 통계프로그램 개발 및 적용)

  • Kim, Yunha;Chang, Hyewon
    • Communications of Mathematical Education
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    • v.37 no.4
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    • pp.717-736
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    • 2023
  • The purpose of this study is to develop a statistical program using data and artificial intelligence prediction models and apply it to one class in the sixth grade of elementary school to see if it is effective in improving students' statistical literacy. Based on the analysis of problems in today's elementary school statistical education, a total of 15 sessions of the program was developed to encourage elementary students to experience the entire process of statistical problem solving and to make correct predictions by incorporating data, the core in the era of the Fourth Industrial Revolution into AI education. The biggest features of this program are the recognition of the importance of data, which are the key elements of artificial intelligence education, and the collection and analysis activities that take into account context using real-life data provided by public data platforms. In addition, since it consists of activities to predict the future based on data by using engineering tools such as entry and easy statistics, and creating an artificial intelligence prediction model, it is composed of a program focused on the ability to develop communication skills, information processing capabilities, and critical thinking skills. As a result of applying this program, not only did the program positively affect the statistical literacy of elementary school students, but we also observed students' interest, critical inquiry, and mathematical communication in the entire process of statistical problem solving.

An Analysis on the Educational Effects of Cornell-note method in Teaching Elementary Mathematics (코넬식 수학노트 활용 수업의 교육 효과 분석)

  • Won, Hyo-Heon;Son, Young-Jong
    • Journal of Fisheries and Marine Sciences Education
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    • v.25 no.1
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    • pp.233-245
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    • 2013
  • The purpose of this study is to analyse the effects on the academic achievement and learning motive in mathematics class by use of Cornell-note method at an elementary school. Thus, Cornell-mathematic note is designed for the experiment in order to recognize the effects how the Cornell-note influences students' mathematics academic achievement and learning motive. This experiment was carried out for 13 weeks and the target was 28 students. The group was consisted of 6rd grade students in elementary school located in Busan. To see the effects of Cornell-note method after experiment, post-test was carried out about mathematics academic achievement and learning motive. The results of this study are as follows: There was meaningful difference before and after test about mathematics academic achievement and learning motive. The academic achievement and learning motive in mathematics were improved after Cornell-note applied. Improvement of learning motive caused progress of academic achievement in mathematics class. The Cornell-note way is not appropriate, however, to reinforce mathematical communication ability and to attract students' interest. Therefore, systematic symbol is necessary and consider about adoption of story-telling way.

A Case Study on the Development of Descriptive Problems in Grade 4 Mathematics (수학과 서술형 평가의 문항개발 사례 연구 - 4-나 단계를 중심으로 -)

  • Hong, Jee-Yun;Kim, Min-Kyeong;Noh, Sun-Sook;Kwon, Jum-Rye
    • Journal of Educational Research in Mathematics
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    • v.18 no.3
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    • pp.335-352
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    • 2008
  • The purpose of this research was to investigate the descriptive evaluation method that focuses on the problem solving process of the student. The goal was to evaluate the students' understanding of the subject rather than the students' ability to find the final answer. The descriptive evaluation is being suggested as a way of examining the thought process of the student by performing a structured analysis of the problem solving process. Today, there are not enough descriptive evaluation resources available for teachers to effectively carry out this alternative assessment method in the elementary school mathematics curriculum. This research is a case study on the development of resources for descriptive evaluation in grade 4 mathematics. We designed the development process for descriptive evaluation and its rubric for all 8 units of the 4-Na level of mathematics in the elementary school curriculum. Three descriptive problems were developed for each of the 8 units for a total of 24 problems. The rubric consisted of three areas of assessment, 1) understanding of the problem, 2) problem solving, and 3) mathematical communication. The problems were first pilot tested in two 4th grade classes. Modified problems were then tested in a different 4th grade classroom. The study showed that the three defined areas of evaluation framework (problem understanding, problem solving and mathematical communication) were measurable and analyzable using the developed grading rubric. We then conclude that he descriptive evaluation could be used as an effective tool for improving teacher performance in elementary school mathematics.

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A Case Study on Mathematical Thinking Characteristics of a Gifted Child (한 수학영재아의 수학적 사고 특성에 관한 사례연구)

  • 김지원;송상헌
    • Journal of Educational Research in Mathematics
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    • v.14 no.1
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    • pp.89-110
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    • 2004
  • The purpose of this study is to identify the significant characteristics shown in the field of mathematics by a gifted child, the educational curriculum for this child, and to find what has to be set in place in the areas of teacher's teaching methods and programs. The important aspect of these ideas is that one has to completely understand and know the characteristics of the gifted in order to give them the opportunity to discover their underlying talents and to develop upon those skills by giving them suitable and appropriate education for their intellectual state. This study focuses on the thoughts and behavior of a gifted male child, from his third to fifth grade, and the study shows the results and analysis of data gathered from close observation and interview, and a collection of documents gathered from the child. This study is analyzed from three different perspectives: 1. The typical life and surroundings of this gifted child, and how he was raised in this particular environment. This also shows the significant event that allowed others to recognize him as gifted. 2. Identification of how a gifted child's mind works in the field of mathematics. This attempts to analyze methods the child uses to arrive at a solution to a problem. 3. Exploration of mathematical attitude of the child. This shows the child's interest in mathematics, and the willingness to find better and more efficient ways to reach a solution. This also shows the child's ability to explain his purpose and methods of problem solving in detail, and the focus and clarity in communication of mathematics. This study will enlighten the readers with information on the importance of advanced education specifically designed for the gifted. In development of advanced education programs, it is necessary to comprehend the minds of the mathematically gifted, and furthermore, this will help in defining an appropriate teaching method and curriculum for a better equipped educational system.

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A Study on the Understanding of Height Concept of Figures of Sixth Grade Students of Elementary Schools (초등학교 6학년 학생들의 도형의 높이 개념 이해에 대한 연구)

  • Im, Seung-Hyun;Park, Young-Hee
    • Journal of Elementary Mathematics Education in Korea
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    • v.15 no.1
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    • pp.141-159
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    • 2011
  • The purpose of the present research is to suggest implications on guidance of height concept understanding of figures by investigating concept understanding how sixth grade's elementary school students understand a height concept of figures. In order to achieve this research purpose, a height concept understanding test of figures was carried out with the target of 54 sixth grade students who already learned a height concept of plane figures and three-dimensional solid figures and thus this research analyzed characteristics and errors appeared there. When analyzing its characteristics and errors interviews with students were carried out for in-depth analysis. And as a result the following implications could be obtained. First, students felt more difficulty in measuring height in a figure that its lower base is not horizontal in questions measuring height of a plane figure. Second, there were cases that students associate a height concept of figures with experience of height experienced in daily life. Third, students were feeling difficulty in linguistically expressing a concept called height that oneself has. Expressing a concept linguistically plays an important role in understanding a concept clearly. Accordingly activities for raising this mathematical communication ability are required, Fourth, the present research can suggest implications in designing classes that students can clearly understand the height concept of figures.

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