• Title/Summary/Keyword: Mathematics Education and Language

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Student-Centered Discrete Mathematics Class with Cyber Lab (학생중심의 대학 이산수학 강의 운영사례)

  • Lee, Sang-Gu;Lee, Jae Hwa
    • Communications of Mathematical Education
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    • v.33 no.1
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    • pp.1-19
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    • 2019
  • This study deals with the case of student-centered discrete mathematics class with cyber lab. First, we provided lecture notes and cyber labs we developed. In particular, discrete mathematics is a course that covers the principles of algorithms. The purpose of this study is to provide students with basic mathematics, aiming to actively participate in the learning process, to improve their abilities and to reach the ultimate goal of student success with confidence. Second, based on interactions, students were able to prepare for the lectures, review, question, answer, and discussion through an usual learning management system of the school. Third, all the students generated materials through one semester, which were reported, submitted, presented and evaluated. It was possible to improve the learning effectiveness through the discussions and implementation of using some easy open source programming language and codes. Our discrete math laboratory could be practiced without any special knowledge of coding. These lecture models allow students to develop critical thinking skills while describing and presenting their learning and problem-solving processes. We share our experience and our materials including lecture note and cyber lab as well as a possible model of student-centered mathematics class that does not give too much of work load for instructors. This study shares a model that demonstrates that any professor will be able to have an individualized, customized, and creative discrete education without spending much of extra time and assistant, unlike previous research.

Academic Performance, Communication, and Psychosocial Development of Prelingual Deaf Children with Cochlear Implants in Mainstream Schools

  • Choi, Ji Eun;Hong, Sung Hwa;Moon, Il Joon
    • Journal of Audiology & Otology
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    • v.24 no.2
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    • pp.61-70
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    • 2020
  • Background and Objectives: To assess the academic performance, communication skills, and psychosocial development of prelingual deaf children with cochlear implants (CIs) attending mainstream schools, and to evaluate the impact of auditory speech perception on their classroom performance. Subjects and Methods: As participant, 67 children with CI attending mainstream schools were included. A survey was conducted using a structured questionnaire on academic performance in the native language, second language, mathematics, social studies, science, art, communication skills, self-esteem, and social relations. Additionally, auditory and speech performances on the last follow-up were reviewed retrospectively. Results: Most implanted children attending mainstream school appeared to have positive self-esteem and confidence, and had little difficulty in conversing in a quiet classroom. Also, half of the implanted children (38/67) scored above average in general academic achievement. However, academic achievement in the second language (English), social studies, and science were usually poorer than general academic achievement. Furthermore, half of the implanted children had difficulty in understanding the class content (30/67) or conversing with peers in a noisy classroom (32/67). These difficulties were significantly associated with poor speech perception. Conclusions: Improving the listening environment for implanted children attending mainstream schools is necessary.

Academic Performance, Communication, and Psychosocial Development of Prelingual Deaf Children with Cochlear Implants in Mainstream Schools

  • Choi, Ji Eun;Hong, Sung Hwa;Moon, Il Joon
    • Korean Journal of Audiology
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    • v.24 no.2
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    • pp.61-70
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    • 2020
  • Background and Objectives: To assess the academic performance, communication skills, and psychosocial development of prelingual deaf children with cochlear implants (CIs) attending mainstream schools, and to evaluate the impact of auditory speech perception on their classroom performance. Subjects and Methods: As participant, 67 children with CI attending mainstream schools were included. A survey was conducted using a structured questionnaire on academic performance in the native language, second language, mathematics, social studies, science, art, communication skills, self-esteem, and social relations. Additionally, auditory and speech performances on the last follow-up were reviewed retrospectively. Results: Most implanted children attending mainstream school appeared to have positive self-esteem and confidence, and had little difficulty in conversing in a quiet classroom. Also, half of the implanted children (38/67) scored above average in general academic achievement. However, academic achievement in the second language (English), social studies, and science were usually poorer than general academic achievement. Furthermore, half of the implanted children had difficulty in understanding the class content (30/67) or conversing with peers in a noisy classroom (32/67). These difficulties were significantly associated with poor speech perception. Conclusions: Improving the listening environment for implanted children attending mainstream schools is necessary.

An Exploratory Study on differential item functioning of multicultural and North Korea migrant families students, through National Assessment Educational Achievement of mathematics (수학과 국가수준 학업성취도 평가 결과를 통한 다문화.탈북 가정 학생 차별기능문항 분석)

  • Jo, Yun Dong;Kang, Eunjoo;Ko, Ho Kyoung
    • Journal of Educational Research in Mathematics
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    • v.23 no.2
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    • pp.75-94
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    • 2013
  • As part of the education in the pursuit of equity, in this study, we have analyzed the differential item functioning on mathematics assessment through the result of 2011 National Assessment Educational Achievement. For this we used SIBTEST method and M-H method to extract differential item functioning on multicultural and North Korea migrant families students. As a result, 10 items that has the differential functioning were extracted by both methods in three school levels from Elementary, Middle and High School. The result of a exploratory for potential causes of differential functioning on multicultural and North Korea migrant families students through a qualitative analysis of each items that has been extracted, language ability, the complexity of computation and problem-solving process, the curriculum, the problem situation have been discussed. These results will be able to contribute to establishing education policy and designing teaching and learning methods for the multicultural and North Korea migrant families students.

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Development of Creative Problem-Solving Activities for Integrating Mathematics and Information Science: Focusing on the Hat Game for Mathematically Gifted Students (수학 정보과학 융합을 위한 창의적 문제해결 활동 개발: 영재 학생을 대상으로 한 모자 게임을 중심으로)

  • Seo, Jiyoung;Youn, Sang-Gyun
    • Communications of Mathematical Education
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    • v.36 no.3
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    • pp.439-467
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    • 2022
  • The future society requires not only knowledge but also various competencies, including creativity, cooperative spirit and integrated thinking. This research develops a program for integrating mathematics and information science to enhance important mathematical competencies such as problem-solving and communication. This program does not require much prior knowledge, can be motivated using everyday language and easy-to-access tools, and is based on creative problem-solving activities with multilateral cooperation. The usefulness and rigor of mathematics are emphasized as the number of participants increases in the activities, and theoretical principles stem from the matrix theory over finite fields. Moreover, the activity highlights a connection with error-correcting codes, an important topic in information science. We expect that the real-world contexts of this program contribute to enhancing mathematical communication competence and providing an opportunity to experience the values of mathematics and that this program to be accessible to teachers since coding is not included.

The Effects of Mathematical Communication-Centered Teaching Using Peer Feedback on Mathematics Learning (동료 피드백을 활용한 수학적 의사소통이 수학 학습에 미치는 효과)

  • Oh, Young-Youl;Oh, Tae-Wook
    • Communications of Mathematical Education
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    • v.23 no.2
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    • pp.327-347
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    • 2009
  • The purpose of the present study is to investigate the effects of mathematical communication-centered teaching using peer feedbacks on students' mathematics achievement and mathematical dispositions toward mathematics, and then this study examined the characteristics of feedbacks used by students. To do this study, two sixth grade classes selected from an elementary school in Seoul participated in the current study; one class for a treatment group applying mathematical communication-centered teaching using peer feedback, and the other for a comparison group applying traditional teaching using teacher-centered communication. The results of this study showed the fact that a treatment group of mathematical communication-centered teaching applying peer feedback scored statistically higher than a comparison group applying teacher-centered communication with respect to both students' mathematical achievement and disposition. Especially, this communication-centered teaching program focused on peer feedback was more effective to middle or lower level students than higher level students. In addition, mathematical communication-centered teaching applying peer feedbacks helps students reflect their own thinking process about problem solving, and students experienced the improvement of their confidence about mathematics from opportunities to provide peers with feedbacks. Finally, the present study suggests the important role of communication in mathematics learning, particularly student-to-student feedbacks rather than teacher-to-students feedbacks. That is to say, students need to have many opportunities to represent their own mathematical thinking processes using mathematical language.

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An Influence of Exchange Writings on the Mathematical Communication Skill and Mathematical Disposition in the Elementary Mathematics (초등수학에서 상호글쓰기를 통한 학습이 수학적 의사소통 능력 및 수학적 성향에 미치는 영향)

  • Bae, Sook-Hee;Park, Man-Goo
    • Journal of Elementary Mathematics Education in Korea
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    • v.12 no.2
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    • pp.165-183
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    • 2008
  • This study is to help to understand the influence of exchange writing activity in the elementary mathematics on students' mathematical communication skill. Various technical activities had been implemented during the classes and the ideas from those activities had been interpreted into writings in the final stage of the classes. Those writings, then, were distributed to other students or teachers in order to devise a teaching model for exchange writing, which is to be applied to the 3rd grade classes and to identify the influence on the in mathematical communication skill. From this study, we could get such conclusions as follows: First, there was considerable difference between experimental group practicing exchange writing and control group engaging in normal learning activities in the progress of their mathematical communication skill (group discussion), writing skill and expressivity when examining their average communication skill using t-method. Similar trend had been witnessed when self-evaluating their mathematical communication skill. Second, when it comes to the mathematical tendency, experimental group showed a higher tendency in positiveness compared to the control group. Therefore, we might conclude that the exchange writing has a positive influence on the students' mathematical tendency, especially on their curiosity or interest in teaming, willingness to study and their comprehension of its importance.

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An analysis of changing interests in mathematics and strategic thinking reflected in small group drawing activities using graphs and inequations - With Grafeq software - (그래프와 부등식 영역의 소집단 그림그리기 활동에서 나타나는 수학에 대한 흥미변화 및 전략적 사고분석 -Grafeq 활용을 중심으로-)

  • Shin, In-Sun;Park, Kyung-Min
    • Communications of Mathematical Education
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    • v.26 no.2
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    • pp.177-203
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    • 2012
  • The purpose of this research was to look at whether small group drawing activities can be applied to learning content that combine mathematics and art, by analyzing the changes in $10^{th}$ grade students' interests in mathematics and particular features of their strategic thinking that were reflected in small group drawing activities using graphs and inequations. The results of the study are as follows: 1. The small group drawing activity using graphs and inequations demonstrated that students interests in mathematics could experience positive changes. 2. The small group drawing activity using graphs and inequations was effective in stimulating the students' strategic thinking skills, which are higher level thinking activities necessary for creating problem solving. As the students went through the whole process of accomplishing a complete goal, the students engaged in integrated thinking activities that brought understandings of basic graphs and inequations together, and were also found to use such higher level thinking functions needed in achieving creative problem solving such as critical thinking, flexible thinking, development-oriented thinking, and inferential thinking. 3. The small group drawing activity using graphs and in equations could be expected to constitute learning content that integrate mathematics and art, and is an effective solution in boosting students' strengths in mathematics by way of activities that consider students' unique cognitive and qualitative peculiarities and through integration with art.

Influential Error Factors of Robot Programming Learning on the Problem Solving Skill (로봇 프로그래밍 학습에서 문제해결력에 영향을 미치는 오류요소)

  • Moon, Wae-Shik
    • Journal of The Korean Association of Information Education
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    • v.12 no.2
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    • pp.195-202
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    • 2008
  • The programming learning by using a robot may be one of the most appropriate learning methods for enabling students to experience the creative learning of future society by avoiding the existing stereotyped style educational environment, and understand and improve algorithm which is the basic fundamental of mathematics and science. This study proposed four types of items of errors which may occur during robot programming by elementary school students, and made elementary school students in the fifth and sixth grades learn robot programming after developing the curriculum for the robot programming. Then, the study collected and classified errors that had occurred during the process of learning, and conducted a comparative analysis of computer-based programming language which had been previously studied. This study identified that robot programming in elementary school was shown superior to existing computer-based programming language as a creative learning method and tool through the field experience.

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A study on vocabularies related to four fundamental rules of arithmetic used in elementary school mathematics (초등학교 수학에서 사용하는 사칙계산 관련 어휘에 관한 연구)

  • Park, Kyo Sik
    • Journal of Elementary Mathematics Education in Korea
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    • v.17 no.2
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    • pp.185-205
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    • 2013
  • In this study, to begin with, it was discussed to gather vocabularies which are expected to be vocabularies related to four fundamental rules of arithmetic and classify them according to kinds and groups, to demarcate vocabularies related to four fundamental rules of arithmetic for using in elementary school mathematics which are associated with addition, subtraction, multiplication, and division directly. Next, the basic vocabularies related to four fundamental rules of arithmetic were discussed. At this time, regarding vocabularies related addition, subtraction, multiplication, and division as coming from the verb add, subtract, multiply, divide respectively, vocabularies that contains the stem of each verb were considered as the basic vocabularies related to four fundamental rules of arithmetics. Following it, vocabularies which assist the operation and indicate the result of the operation were included, then, vocabularies related to four fundamental rules of arithmetic for using in elementary school mathematics were demarcated and presented according to the following criteria. First, a newly coined verb or derivative using the noun form of a certain verb as a root should not be used. Second, such vocabularies of which examples do not exist or rarely exist in textbooks/workbooks should not be used, even though they are registered in mathematics glossary book published by ministry of education or Korean dictionary published by the national institute of Korean language. Third, vocabularies which are not replaceable and vocabularies which have some didactical reasons for using them should be used.

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