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The 'Two Basics' Mathematics Teaching Approach and the Open Ended Problem Solving in China

  • Zhang, Dianzhou;Dai, Zaiping
    • Research in Mathematical Education
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    • v.8 no.3
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    • pp.123-144
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    • 2004
  • There is a tradition of advocating the 'two basics' (basic knowledge and basic skills) in Chinese mathematics education. The direct consequence is that Chinese students are able to produce excellent performance in the international mathematics examinations and outstanding results in the international mathematics competitions. In this article, we will present why and how Chinese teachers teach the 'two basics,' and how combine the pupil's creativity with their 'two basics.' Open ended problem solving is a way to meet the goal. The following topics will be concerned: Culture background; the speed of computation; 'make perfect' ; Efficiency in classroom; Balance between 'two basics' and personal development. In Particular, Chinese mathematics educators pay more attentions to the link between open ended problem solving and the 'two basics' principal.

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An Integer Programming Model for a Complex University Timetabling Problem: A Case Study

  • Prabodanie, R.A. Ranga
    • Industrial Engineering and Management Systems
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    • v.16 no.1
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    • pp.141-153
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    • 2017
  • A binary integer programming model is proposed for a complex timetabling problem in a university faculty which conducts various degree programs. The decision variables are defined with fewer dimensions to economize the model size of large scale problems and to improve modeling efficiency. Binary matrices are used to incorporate the relationships between the courses and students, and the courses and teachers. The model includes generally applicable constraints such as completeness, uniqueness, and consecutiveness; and case specific constraints. The model was coded and solved using Open Solver which is an open-source optimizer available as an Excel add-in. The results indicate that complicated timetabling problems with large numbers of courses and student groups can be formulated more efficiently with fewer numbers of variables and constraints using the proposed modeling framework. The model could effectively generate timetables with a significantly lower number of work hours per week compared to currently used timetables. The model results indicate that the particular timetabling problem is bounded by the student overlaps, and both human and physical resource constraints are insignificant.

The Characteristics of Open-loop Trajectory and Time-to-go Estimation for Impact Angle Control Optimal Guidance through Inverse Optimal Problem (역최적 문제를 통한 충돌각 제어 최적유도법칙의 개루프 비행궤적 특성 및 Time-to-go 예측)

  • Lee, Yong-In;Lee, Jin-Ik
    • Journal of the Korea Institute of Military Science and Technology
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    • v.11 no.3
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    • pp.5-12
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    • 2008
  • This paper presents the features of an impact angle constrained open-loop optimal trajectory which is given by a function of initial conditions and optimal guidance gains. Using missile motion described by linearized kinematic equations and a proper form of performance index, an inverse optimal problem is suggested to investigate the gains related to the performance index. The flight trajectory and time-to-go can be shaped in terms of the optimal guidance gains. The results are evaluated by 3-DOF simulation.

학교수학 지도에 대한 '개방적 접근(Open Approach)'

  • Becker Jerry P.
    • Proceedings of the Korea Society of Mathematical Education Conference
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    • 2006.10a
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    • pp.63-78
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    • 2006
  • 미국에서 학교 수학 수업에서의 개방적 접근은 일본과 미국 연구자들의 공동연구의 결과물이다. 우리는 그것에 대한 세 가지의 측면을 실례로 살펴보면 접근을 시도하겠다. : 1) 개방된 과정(open process)(문제의 해답에 이르는 방법이 여러 가지이다: 2) 개방형 문제(open-ended problems)(문제에 대한 정답이 여러 가지가 될 수 있는 문제), 3) 일본에서 '문제로부터 문제(from problem to problem)'라고 불리는 것 혹은 문제고안(problem formulating)하기(학생들이 새로운 문제를 명확하게 나타내기 위해 자신의 생각을 써 내려 가는 것)수학 지도에서 일본의 개방적 접근에 대한 우리의 이해를 바탕으로, 우리는 미국에서 보다 효과적인 수학 지도를 위한 몇 가지 방법을 선택 적용해 보았다. 이러한 접근의 대부분은 학습 계획안을 만들 때 여러 교사가 함께 참여하고 일련의 토론과 수정과정을 거친 뒤, 많은 부분이 개선되고 효과적인 계획안을 만들어 낸다는 점에서 미국의 수학교사들에게 새로운 것이다. 또한 이 접근법에서는 교사가 문제를 해결하는 과정에서 학생 개개인이나 그룹을 활동적으로 관찰하여 그들의 활동을 비교하고 토론한다.

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Implementation of Altitude Information for Flight Simulator in OpenSceneGraph (항공 시뮬레이터를 위한 OpenSceneGraph기반의 고도 정보 구현 방안)

  • Lee, ChungJae;Kim, JongBum;Kim, Ki-Il
    • IEMEK Journal of Embedded Systems and Applications
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    • v.9 no.1
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    • pp.11-16
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    • 2014
  • When it comes to develop flight simulator, HAT (Height Above Terrain) is required to provide altitude information to the pilot who learns how to control an airplane in landing and takeoff situation. However, there might be inconsistent problem between real terrain and simulation information since current implementation of HAT simply depends on center of gravity point on the airplane. To overcome mentioned problem, in this paper, we propose how to obtain more accurate altitude information than existing scheme by making use of HAT and HOT (Height Of Terrain) information of landing equipments according to movement of the airplane. Moreover, we demonstrate the accuracy of the proposed scheme through new flight simulator developed through OSG(OpenSceneGraph) by taking example of terrain information for domestic airport.

Open mathematics education and Modelling (열린수학과 모델링)

  • 조완영;권성룡
    • Journal of Educational Research in Mathematics
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    • v.8 no.2
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    • pp.663-677
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    • 1998
  • The development of Science and Technology and the social change require new paradigm in Education. In a traditional paradigm, learners have been regarded as a passive being and knowledge could be transmitted to learner. But within this paradigm, it is difficult to confront the social change and to develop problem solving skills in various context. This results in a new, alternative perspective, Constructive paradigm. As an alternative to the traditional settings, Constructive paradigm emphasizes the learner centered instruction. The reform movement in mathematics education including NCTM's standards revolves around this paradigm and the open education movement in our educational system is based on it. Open education values learner's interest, autonomy and internal motivation in learning. However, open education has been misunderstood by most of the teachers. It should be understood as the change of paradigm. In this study, as a way of helping students connect mathematics to their everyday lives and construct meaningful mathematical knowledge and concept, mathematical modelling is suggested. It consists of posing and specifying the real problem, formulation and constructing a mathematical model, analyzing and solving a mathematical problem. interpreting the solution and comparing with reality and communicating results. In this process, technology like computer can be a powerful tool. It can help students explore various problems more easily and concretely.

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The Effects of Nursing Education about Recognition on Adolescent Problem Behaviors (청소년 문제행동인식에 관한 간호교육의 효과)

  • Park, Young-Suk
    • The Journal of Korean Academic Society of Nursing Education
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    • v.18 no.2
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    • pp.276-283
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    • 2012
  • Purpose: This study was carried out to identify the effects of classroom lectures on adolescent nursing education in distance education. Method: The design of this study was a quasi-experimental research with nonequivalent control group, pretest-posttest design. The subjects of this study were 434 nurses in K open university. Data were collected from April to June, 2009 by the adolescent delinquency measurement scale and questionnaire for awareness of the issue in adolescent health education. Result: The both groups perceived the biggest problem as the lack of assigned education time in adolescent health education. After receiving education, the experimental group improved significantly more than the control group in recognition of adolescent problem behavior which is in interpersonal, intermaterial, order, drug, sex, position, alcohol/smoking delinquency and psychiatric problem. Conclusion: This adolescent nursing education is an effective education for nurses and could improve their recognition of adolescent problem behavior.

An Investigation into Students' Perception of Problem-Based Learning Implemented in Middle School Open-Inquiry Program (문제 중심 학습에 대한 학생들의 인식 탐색: 중학교 1학년 과학 자유탐구 수업 사례를 중심으로)

  • Yoon, Heo-Jeong;Kim, Kyung-Won;Woo, Ae-Ja
    • Journal of The Korean Association For Science Education
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    • v.31 no.5
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    • pp.720-733
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    • 2011
  • Problem-based learning (PBL) is an effective teaching-learning strategy for enhancing students' motivation, problem solving ability, and creativity. Its educational values coincide with the aim of open-inquiry activity introduced in 2007 revised national curriculum. From this aspect we designed the PBL open-inquiry program and implemented to 202 first year middle school students in Gyeonggi provincial office of education for one semester. We developed an energy related PBL problem. The program was designed in four steps: 'understand the problem,' 'investigate information,' 'solve the problem,' and 'present and evaluate the result.' Through the program, students did such activities as 'make Know/need to know chart,' 'group discussion,' 'search information,' and 'preparation of group report.' After completing the program, a survey was conducted to understand the students' perception of the program. The results are as follows: First, 40.6% of students showed positive attitude toward the program. Especially, students responded that 'make Know/need to know chart' was very useful. However, some students responded that 'search information' and 'preparation of group report' were difficult to perform. Second, male students showed positive attitude toward the PBL program compared to female students. Also students had higher scores in attitude toward science, showed more positive attitude toward the PBL program. Third, there was a significant correlation between attitude toward science and perception of PBL steps. Based on survey results, some suggestions were made for teachers who were planning to implement PBL in open-inquiry program.

A Comparative Study of XP-SWMM & Hydraulic Model Experiment of the Hydraulic Characteristics when Storm Drain is Filled to Capacity (우수관로(雨水管路) 만수시(滿水時) 수리학적거동(水理學的擧動)에 대한 XP-SWMM와 수리모형실험(水理模型實驗)의 비교(比較) 연구(硏究))

  • Choi, Han-Kuy;Beak, Hyo-Seon;Beak, Doo-Yeol
    • Journal of Industrial Technology
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    • v.25 no.B
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    • pp.19-25
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    • 2005
  • To use land more efficiently under urbanization trend, Kangwon Province often covers open channels of creeks and uses them as parking lots or roads. A covered open channel section tends to form a rectangular culvert. Therefore, a creek with covered open channels can function as a storm drain. At the time of light rainfall, there are no significant differences except water flowing pattern between a creek with a covered open channel and a creek without it. Recently, however, the frequent occurrence of heavy rainfalls limited at a small, definite area has become problematic. When the heavy rainfall causes the carrying capacity of a creek to be exceeded,the creek with covered open channel has a more serious problem than the creek without it has. Therefore, we made an interpretation of data and conducted hydraulic model experiment to come up with economical solution to this problem.

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A Study of Children's Attitudes Towards Learning Mathematics with Open-ended problems (개방형 문제를 이용한 학습에 대한 아동의 태도 연구)

  • Bae, Jong Soo;Oh, Eun young
    • Journal of Elementary Mathematics Education in Korea
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    • v.9 no.1
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    • pp.39-64
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    • 2005
  • The purpose of this study is to transform questions in the 7th curriculum to open-ended problems and exam students' attitude towards open-ended problems. Research questions in this thesis are as follows: First, to transform questions in the 7th curriculum to open-ended problems and apply to a class in the fourth grade D elementary school. Second, to find how students respond to learning mathematics with open-ended problems. As a result of this study, the following are identified. First, the students showed positive reactions towards learning mathematics with open-ended problems. Those experience with open-ended problems make student solve mathematics problems with interest and confidence. Second, both good and bad students in the math class show interest and concentration toward open-ended problem. But a few students show less interest towards those problems. Third, through discussion about problem-solving with open-ended problems, students take part in math class actively and show respect one another. Fourth, especially students show more interest and confidence towards the open-ended problems transformed from mathematics textbook and like the constructive open-ended problems.

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