• 제목/요약/키워드: Mathematics curriculum

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미지수가 2개인 연립일차부등식의 문제해결과정에서 발생하는 오류 분석 및 지도방안 연구 (On the analysis and correction of error for the simultaneous inequality with two unknown quantities)

  • 전영배;노은환;김대의;정찬식;김창수;강정기;정상태
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제24권3호
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    • pp.543-562
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    • 2010
  • 본 연구는 미지수가 2개인 연립 부등식을 해결하는 과정에서 발생하는 오류에 대해 분석하고 오류에 따른 교수-방법을 제공하는데 그 목적이 있다. 먼저, 미지수가 2개인 연립 부등식을 소개하고, 연구자가 지도하고 있는 한 학생이 제안한 풀이를 보여준다. 미지수가 2개인 연립 부등식의 문제를 해결하는 과정에서 학생은 오류를 범하고 있는데, 본 연구에서는 이러한 오류에 대해 해석기하적 접근(xy-평면에서의 오류진단, ab-평면에서의 오류진단), 대수적 접근, 공리적 접근의 방법으로 오류를 진단하고 적절한 지도방법을 모색하고자 한다. 학생이 문제를 해결하는 과정에서 범한 오류는 미지수가 2개인 연립일차부등식의 내용을 학습하기 전에 배우게 되는 내용 중 '8-가 단계'에서 학습하는 미지수가 2개인 연립 일차방정식의 내용이 미지수가 2개인 연립일차부동식의 내용과 유사한 점이 많기 때문에 미지수가 2개인 연립일차부동식과 관련된 문제를 해결하는 과정에서 미지수가 2개인 연립일차방정식을 학습하면서 익힌 풀이 방법이 같은 방법으로 적용될 것이라는 오개념과 미지수가 2개인 연립일차부등식과 관련된 불충분한 내용의 교육과정 때문에 발생한 것이다. 학생이 범한 오류에 대해 학생의 문제 풀이 과정을 해석기하적, 대수적 접근을 통해 면밀히 분석한 결과 학생이 범한 오류는 미지수가 2개인 연립일차부등식을 해결하는 과정에서 2개의 변수들 사이의 상호관련성을 간과하여 발생한 결과임을 알 수 있다. 따라서 본 연구는 오류를 범하기 쉬운 마지수가 2개인 연립일차부등식과 관련된 문제를 해결하는 과정에서 2개의 변수 사이의 관련성에 대해 해석기하적 접근, 대수적 접근, 공리적 접근을 통하여 2개의 변수들 사이의 상호관련성에 대해 학생들에게 주지시켜야 하고 아울러 미지수가 2개인 연립일차부등식을 다룰 경우 대수적 기법이 변수들 사이의 관련성으로 인하여 조심스러워야 하므로 해석기하적으로 좌표평면을 도입하여 문제에 접근해야함을 강조한다.

Design and Implementation of IoT based Low cost, Effective Learning Mechanism for Empowering STEM Education in India

  • Simmi Chawla;Parul Tomar;Sapna Gambhir
    • International Journal of Computer Science & Network Security
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    • 제24권4호
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    • pp.163-169
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    • 2024
  • India is a developing nation and has come with comprehensive way in modernizing its reducing poverty, economy and rising living standards for an outsized fragment of its residents. The STEM (Science, Technology, Engineering, and Mathematics) education plays an important role in it. STEM is an educational curriculum that emphasis on the subjects of "science, technology, engineering, and mathematics". In traditional education scenario, these subjects are taught independently, but according to the educational philosophy of STEM that teaches these subjects together in project-based lessons. STEM helps the students in his holistic development. Youth unemployment is the biggest concern due to lack of adequate skills. There is a huge skill gap behind jobless engineers and the question arises how we can prepare engineers for a better tomorrow? Now a day's Industry 4.0 is a new fourth industrial revolution which is an intelligent networking of machines and processes for industry through ICT. It is based upon the usage of cyber-physical systems and Internet of Things (IoT). Industrial revolution does not influence only production but also educational system as well. IoT in academics is a new revolution to the Internet technology, which introduced "Smartness" in the entire IT infrastructure. To improve socio-economic status of the India students must equipped with 21st century digital skills and Universities, colleges must provide individual learning kits to their students which can help them in enhancing their productivity and learning outcomes. The major goal of this paper is to present a low cost, effective learning mechanism for STEM implementation using Raspberry Pi 3+ model (Single board computer) and Node Red open source visual programming tool which is developed by IBM for wiring hardware devices together. These tools are broadly used to provide hands on experience on IoT fundamentals during teaching and learning. This paper elaborates the appropriateness and the practicality of these concepts via an example by implementing a user interface (UI) and Dashboard in Node-RED where dashboard palette is used for demonstration with switch, slider, gauge and Raspberry pi palette is used to connect with GPIO pins present on Raspberry pi board. An LED light is connected with a GPIO pin as an output pin. In this experiment, it is shown that the Node-Red dashboard is accessing on Raspberry pi and via Smartphone as well. In the final step results are shown in an elaborate manner. Conversely, inadequate Programming skills in students are the biggest challenge because without good programming skills there would be no pioneers in engineering, robotics and other areas. Coding plays an important role to increase the level of knowledge on a wide scale and to encourage the interest of students in coding. Today Python language which is Open source and most demanding languages in the industry in order to know data science and algorithms, understanding computer science would not be possible without science, technology, engineering and math. In this paper a small experiment is also done with an LED light via writing source code in python. These tiny experiments are really helpful to encourage the students and give play way to learn these advance technologies. The cost estimation is presented in tabular form for per learning kit provided to the students for Hands on experiments. Some Popular In addition, some Open source tools for experimenting with IoT Technology are described. Students can enrich their knowledge by doing lots of experiments with these freely available software's and this low cost hardware in labs or learning kits provided to them.

초등수학영재와 일반학생의 자기효능감과 진로태도성숙과의 관계 비교 (Comparative Study between Mathematically Gifted Elementary Students and Common Students in Self-Efficacy and Career Attitude Maturity)

  • 이정화;류성림
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제27권1호
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    • pp.63-80
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    • 2013
  • 본 연구의 목적은 초등수학영재들과 일반학생들 사이의 자기효능감과 진로태도성숙을 비교분석 함으로써 초등수학영재의 특성을 이해하며, 초등수학영재와 일반학생의 진로교육에 도움을 주는 것이다. 연구 대상은 D광역시 소재의 대학영재교육원, 교육청 영재교육원, 초등학교 영재학급의 초등수학영재 237명(5학년 98명, 6학년 139명)과 D광역시 소재의 영재교육 대상학생, 특수아를 제외한 일반학생 221명(5학년 92명, 6학년 129명)이다. 연구 결과 초등수학영재가 일반학생보다 자기효능감이 높게 나타났다. 이는 초등수학영재가 자기 자신에 대한 자신감이 크고, 스스로에 대한 신념이 강하며, 그로 인해 자기 관리 및 과제의 난이도를 적절히 배려하여 비교적 높은 수준의 과제를 선호하는 등의 습관이 형성되어 있음을 알 수 있다. 또한 초등수학영재의 전체적인 진로태도성숙이 일반학생보다 높게 나타났다. 특히 하위요인 중 결정성, 준비성에서는 p< .01 수준에서 두 집단 간 유의미한 차이를 보였으며, 확신성에서는 p< .05 수준에서 유의미한 차이를 나타냈다. 또한 초등수학영재와 일반학생 모두 자기효능감이 높을수록 진로태도성숙이 높은 것으로 나타났다. 이것은 수학영재를 위한 교육과정은 물론 일반교육과정에서도 자기효능감과 진로태도성숙을 향상시킬 수 있는 교육 프로그램이 개발되어야 함을 시사하는 것이라 볼 수 있다.

국제 수학 올림피아드 참가 후보자들을 위한 상황대처훈련에 관한연구

  • 김보경;조성희;이군현
    • 한국영재학회:학술대회논문집
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    • 한국영재학회 1994년도 The 3rd Asia-Pacific Conference on GIFTEDNESS Program 제3차 아시아-태평양 영재학술대회
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    • pp.1.2-37
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    • 1994
  • 현재 우리나라에서는 국제 올림피아드 대회와 같은 국제 학력경시대회에 대표 학생들을 선발하여 선수로 참가시키고 있다. 대표선수들을 선발하기 전단계로서 한국 올림피아드 학교가 있으며, 국제대회에 나가기 1년전 여름방학을 이용하여 개최되고 있다. 한국 올림피아드 학교에서는 전국에서 경쟁을 뚫고 선발된 중, 고등학교 학생들이 각 과목에서 40여명씩 모여 학습 훈련을 받으며, 그중 소수가 경쟁을 통해 다시 선발되어 국제대회에 한국 대표선수로 참가한다. 본 연구에서는 한국 올림피아드 여름학교에 참가한 학생들의 학습 동기를 증진시킬 심리교육 프로그램을 개발하였으며, 이“상황대처훈련 프로그램”이 실제로 프로그램 참가학생들의 학업성취도와의 관계를 알아보았다. 연구대상은 국제 수학올림피아드 참가 후보학생들이며, 한국 수학올림피아드 여름학교가 진행중인 기간을 이용하여 5회에 걸쳐 훈련프로그램을 실시하였다. 프로그램 사전 사후의 효과를 통계분석한 결과, 프로그램 참가자의 자기효능감, 내적 통제감, 그리고 불안극복감이 비참가자들에 비해 유의미한 차이를 나타냈다. 이와같은 인지적, 정서적 동기요인들은 학업성취도와 관련되어 있으며, 특히 자기효능감과 적극적 귀인 스타일은 학업성취의 예언변인으로 나타났다. 본 연구에서 개발한“상황대처훈련 프로그램”은 프로그램 참가자학생들에 의해 매우 필요한 프로그램으로 지각되었고, 자신감과 통제력을 회복하고 압박감을 극복하는 데에 도움이 되었던 것으로 분석결과 나타났다. 본 연구결과의 제언으로, 이러한 훈련프로그램이 학업성취와 관련된 인지적, 정서적 학습동기를 증가시킨다는 점에서, 국제 경쟁을 위한 학습프로그램에 정규프로그램으로 포함되어야 할 것이며, 더 나아가 한국영재 교육 제반 프로그램에 필수적으로 포함되어 활성화하여야 할 것이다.착즙액 10% 첨가구에서 배양 15시간에 각각 1.33${\times}$$10^{5}$ CFU/mL, 1.13${\times}$$10^{5}$ CFU/mL이 증가하면서 최대 균수를 나타내었으며, pH 저하와 적정산도 상승이 뚜렷하였다. 따라서 비파 착즙액 첨가 기능성 yoghurt 제조시 비파 착즙액을 10% 첨가하여 혼합 starter로 Str. thermophilus와 Lac. acidophilus 혼합균주를 사용하는 것이 이들 유산균의 증식에 가장 적합한 것으로 나타났다.타났다..297, 0.293, 0.205에서 50일 경과 후 0.612, 0.472, 0.898로 비살균에서 높은 값을 보였다. 따라서 비살균의 경우 저장말기에 TBA값이 높아지는 경향을 보였다. 5. L값은 살균처리의 경우 저장 30일 이후 약간 어두워지는 경향을 보였고, 121$^{\circ}C$ 살균처리에서 높은 값을 보였다. 대체로 저장온도가 높고 저장기간이 길어질수록 약간 밝아지는 경향을 보였다. 적색도는 인삼 첨가구의 경우 상온 및 냉장저장에서 10$0^{\circ}C$ 살균이 121$^{\circ}C$ 처리구 보다 약간 높은 값을 보였다. 저장기간에 따른 적색도의 변화는 인삼과 송이 첨가구에서 비교적 안정적이었다. 황색도는 상온 및 냉장저장에서 저장기간에 따라 약간 감소하는 경향을 보인 후 상온저장 50일 째, 냉장 60일 째 가장 높게 나타났다. 121$^{\circ}C$ 살균처리구가 10$0^{\circ}C$ 처리구보다 약간 높은 경향을 보였다.^{\circ}C$$,에서는

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제 1, 2회 학생 과학 공동탐구 토론대회의 종합적 평가 (Summative Evaluation of 1993, 1994 Discussion Contest of Scientific Investigation)

  • 김은숙;윤혜경
    • 한국과학교육학회지
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    • 제16권4호
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    • pp.376-388
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    • 1996
  • The first and the second "Discussion Contest of Scientific Investigation" was evaluated in this study. This contest was a part of 'Korean Youth Science Festival' held in 1993 and 1994. The evaluation was based on the data collected from the middle school students of final teams, their teachers, a large number of middle school students and college students who were audience of the final competition. Questionnaires, interviews, reports of final teams, and video tape of final competition were used to collect data. The study focussed on three research questions. The first was about the preparation and the research process of students of final teams. The second was about the format and the proceeding of the Contest. The third was whether participating the Contest was useful experience for the students and the teachers of the final teams. The first area, the preparation and the research process of students, were investigated in three aspects. One was the level of cooperation, participation, support and the role of teachers. The second was the information search and experiment, and the third was the report writing. The students of the final teams from both years, had positive opinion about the cooperation, students' active involvement, and support from family and school. Students considered their teachers to be a guide or a counsellor, showing their level of active participation. On the other hand, the interview of 1993 participants showed that there were times that teachers took strong leading role. Therefore one can conclude that students took active roles most of the time while the room for improvement still exists. To search the information they need during the period of the preparation, student visited various places such as libraries, bookstores, universities, and research institutes. Their search was not limited to reading the books, although the books were primary source of information. Students also learned how to organize the information they found and considered leaning of organizing skill useful and fun. Variety of experiments was an important part of preparation and students had positive opinion about it. Understanding related theory was considered most difficult and important, while designing and building proper equipments was considered difficult but not important. This reflects the students' school experience where the equipments were all set in advance and students were asked to confirm the theories presented in the previous class hours. About the reports recording the research process, students recognize the importance and the necessity of the report but had difficulty in writing it. Their reports showed tendency to list everything they did without clear connection to the problem to be solved. Most of the reports did not record the references and some of them confused report writing with story telling. Therefore most of them need training in writing the reports. It is also desirable to describe the process of student learning when theory or mathematics that are beyond the level of middle school curriculum were used because it is part of their investigation. The second area of evaluation was about the format and the proceeding of the Contest, the problems given to students, and the process of student discussion. The format of the Contests, which consisted of four parts, presentation, refutation, debate and review, received good evaluation from students because it made students think more and gave more difficult time but was meaningful and helped to remember longer time according to students. On the other hand, students said the time given to each part of the contest was too short. The problems given to students were short and open ended to stimulate students' imagination and to offer various possible routes to the solution. This type of problem was very unfamiliar and gave a lot of difficulty to students. Student had positive opinion about the research process they experienced but did not recognize the fact that such a process was possible because of the oneness of the task. The level of the problems was rated as too difficult by teachers and college students but as appropriate by the middle school students in audience and participating students. This suggests that it is possible for student to convert the problems to be challengeable and intellectually satisfactory appropriate for their level of understanding even when the problems were difficult for middle school students. During the process of student discussion, a few problems were observed. Some problems were related to the technics of the discussion, such as inappropriate behavior for the role he/she was taking, mismatching answers to the questions. Some problems were related to thinking. For example, students thinking was off balanced toward deductive reasoning, and reasoning based on experimental data was weak. The last area of evaluation was the effect of the Contest. It was measured through the change of the attitude toward science and science classes, and willingness to attend the next Contest. According to the result of the questionnaire, no meaningful change in attitude was observed. However, through the interview several students were observed to have significant positive change in attitude while no student with negative change was observed. Most of the students participated in Contest said they would participate again or recommend their friend to participate. Most of the teachers agreed that the Contest should continue and they would recommend their colleagues or students to participate. As described above, the "Discussion Contest of Scientific Investigation", which was developed and tried as a new science contest, had positive response from participating students and teachers, and the audience. Two among the list of results especially demonstrated that the goal of the Contest, "active and cooperative science learning experience", was reached. One is the fact that students recognized the experience of cooperation, discussion, information search, variety of experiments to be fun and valuable. The other is the fact that the students recognized the format of the contest consisting of presentation, refutation, discussion and review, required more thinking and was challenging, but was more meaningful. Despite a few problems such as, unfamiliarity with the technics of discussion, weakness in inductive and/or experiment based reasoning, and difficulty in report writing, The Contest demonstrated the possibility of new science learning environment and science contest by offering the chance to challenge open tasks by utilizing student science knowledge and ability to inquire and to discuss rationally and critically with other students.

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