• Title/Summary/Keyword: mathematical model development

Search Result 765, Processing Time 0.029 seconds

An analysis of teacher effects on fourth-grade students' attitudes toward mathematics based on TIMSS 2011 results (TIMSS 2011 결과에 나타난 초등학교 4학년 학생들의 수학에 대한 정의적 태도와 교사 변인과의 관계 분석)

  • Kim, Seong Hee
    • The Mathematical Education
    • /
    • v.54 no.2
    • /
    • pp.195-206
    • /
    • 2015
  • The purpose of this study is to examine the effects of teacher on fourth-grade students' attitudes toward mathematics using data from TIMSS 2011. Students' attitudes toward mathematics included interest in learning mathematics, interest in mathematics lessons, and confidence in their mathematics ability. Teacher factors included mathematics professional development, confidence in teaching mathematics, teacher-centered mathematics instruction, and enhancing student mathematical thinking. The two level Hierarchical Linear Model was employed to analyze the relationship between teacher factors and student attitudes. Results showed that teacher-centered mathematics instruction significantly and positively predicted students' confidence about their mathematics ability. The findings suggest that school systems and mathematics educators need to provide teachers with the curriculum, assessment, and research-based practices and knowledge to overcome the obstacles to change their mathematics classroom.

Research on the Factors Influencing Middle School Teachers' Mathematics Pedagogical Content Knowledge

  • Tong, Li;Qian, Xu-Sheng
    • Research in Mathematical Education
    • /
    • v.14 no.4
    • /
    • pp.323-332
    • /
    • 2010
  • It is the development of a mathematics teachers' teaching knowledge that manifests a mathematics teacher's professional knowledge growth. It is becoming a direct and effective approach of conversion of mathematical knowledge into the knowledge of mathematics teaching. Through the investigation, the study revealed that the knowledge conversion process of mathematics teachers in middle school is restricted by three aspects including eight factors. From this point, the authors have structured the path and model on influencing factors of middle school Mathematics Teaching Knowledge Conversion (MPCK), and discuss the mechanism of the transformation process.

Estimating Producer Risk Preferences and Production Responses using a Regional Optimization Model (지역단위 최적화모형을 이용한 농업생산자 위험선호도와 생산반응 분석)

  • Kwon, Oh-Sang;Lee, Seoungho
    • Journal of Korean Society of Rural Planning
    • /
    • v.26 no.3
    • /
    • pp.25-38
    • /
    • 2020
  • The purpose of this study is constructing a regional-level crop acreage choice model incorporating the impacts of producer risk aversion, and applying the constructed model to the Korean policy that promotes rice paddy conversion into non-rice crop fields. The study adopts the approach of Paris (2018) which estimates the absolute risk aversion coefficient inside of a positive mathematical programming model. A panel data set of 143 cities/counties is used for the empirical study where agricultural land in each region is allocated to 8 crops. Our estimated absolute risk aversion coefficients are smaller than those of Paris (2018), but are a little bit larger than those of the existing Korea studies based on survey or econometric methods. We found that there are close relationships among the estimated risk aversion, regional characteristics, and farming patterns. We also found that incorporating the estimated risk attitudes results in substantial differences in the impacts of the rice paddy conversion policy.

Development of Chloride Ingress Model in Reinforced Concrete Structures (철근콘크리트 구조물의 염소이온 침투 모델 개발)

  • 구현본;이광명
    • Proceedings of the Korea Concrete Institute Conference
    • /
    • 2002.05a
    • /
    • pp.731-736
    • /
    • 2002
  • The degradation of reinforced concrete (RC) structures due to physical and chemical attacks has been a major issue in construction engineering. Deterioration of RC structures due to chloride attack followed by reinforcement corrosion is one of the serious problems. The objective of this study is to develop a form of mathematical model of chloride ingress into concrete. In order to overcome some limits of the previous approaches, a mathematical model of chloride ingress into concrete consisting of chloride solution intrusion through the capillary pore and chloride ion diffusion through the pore water was proposed. Moreover, the variability of diffusivity of chloride ion due to degree of hydration of concrete, relative humidity in pore, exposure condition, and variation of chloride binding was considered in the chloride ingress model.

  • PDF

Mathematical Modeling for the Depth of Deformed Layer in Machining (가공변질층 깊이의 수학적 모델링)

  • 박영우
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 1995.10a
    • /
    • pp.247-250
    • /
    • 1995
  • The development and empirical validation of a mathematical model for predicting the depth of deformed layer in a machined surface are presented. The main assumption for develioping this model is that there is a linear relationship between plastic strain and the depth to which it extends. The model relates the work required to shear the workpice material to the work needed to compress the workpiece material ahead of the cutting tool. The results show that the percent difference between the calculated and the measured depth of deformed layer ranges form 4 percent to 19 percent. An improvement of the model is suggested through application of actual distribution data of plastic strain.

  • PDF

A Study on Development of Model for Prediction of Rolling Force in Tandem Cold Rolling Mill (연속냉간압연에서의 압하력 예측을 위한 모델 개발에 관한 연구)

  • 손준식
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
    • /
    • 2000.04a
    • /
    • pp.491-496
    • /
    • 2000
  • In the tandem cold rolling mill, the quality is very important and requirements for thickness accuracy become more strict. Howerver, the mathematical model for prediction of rolling force was not considered an elastic deformation at the entry and delivery side of the contacted area between the worked roll and rolling strip so that where was so difficult to control of the thickness. To overcome this problem, the mathematical model included an elastic deformation of strip has been developed and applied to the field in order to predict the rolling force. The simulated results showed that the effect of elastic recovery should be included the model, even f the effect of elastic compression was not important.

  • PDF

A Study on the Effect of Applying Jigsaw Cooperative Learning on Mathematical Affective Characteristics of Vocational High School Students (Jigsaw 모형을 적용한 수학수업이 특성화고 학생의 정의적 발달에 미치는 영향)

  • You, Sang Eun;Son, Hong Chan
    • Journal of the Korean School Mathematics Society
    • /
    • v.19 no.3
    • /
    • pp.309-328
    • /
    • 2016
  • In this study we aimed to find out if a mathematics lesson with Jigsaw model can help to change such negative mathematical affective characteristic to a positive one. The results of the study were as in the following. First, the mathematics lessons applied Jigsaw model can help to inspire curiosity and motivation of students. During the lessons, communication among students was vitalized. Such communication inspired learner's curiosity and learning motivation. The expert group and home group activities in the Jigsaw model made the learner's question-answering activities more instantaneous and frequent. Second, the mathematics lessons applied Jigsaw model can help students to become aware of the value of mathematical concepts and formula.

Optimum Water Allocation System Model in Keumho River Basin with Mathematical Programming Techniques (수리계획을 이용한 금호강유역의 최적 물배분 시스템모델)

  • 안승섭;이증석
    • Magazine of the Korean Society of Agricultural Engineers
    • /
    • v.39 no.2
    • /
    • pp.74-85
    • /
    • 1997
  • This study aims at the development of a mathematical approach for the optimal water allocation in the river basin where available water is not in sufficient. Its optimal allocation model is determined from the comparison and analysis of mathematical programming techniques such as transportation programming and dynamic programming models at its optimal allocation models. The water allocation system used in this study is designed to be the optimal water allocation which can satisfy the water deficit in each district through inter-basin water transfer between Kumho river basin which is a tributary catchment of Nakdong river basin, and the adjacent Hyungsan river basin, Milyang river basin and Nakdong upstream river basin. A general rule of water allocation is obtained for each district in the basins as the result of analysis of the optimal water allocation in the water allocation system. Also a comparison of the developed models proves that there is no big difference between the models Therefore transportation programming model indicates most adequate to the complex water allocation system in terms of its characteristics It can be seen, however, that dynamic programming model shows water allocation effect which produces greater net benefit more or less.

  • PDF

A Development of Hardware-in-the Loop Simulation System For a Electric Power Steering System (전동식 동력 조향 장치 연구를 의한 HILS 시스템 개발)

  • Park, Dong-Jin;Yun, Seok-Chan;Han, Chang-Su
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.24 no.12
    • /
    • pp.2883-2890
    • /
    • 2000
  • In this study, a Hardware-In-The-Loop-Simulation(HILS) system for developing a Electric-Power-Steering(EPS) system is designed. To test a EPS by HILS system, a mathematical vehicle model with a steering system model has been constructed. This mathematical model has been constructed. This mathematical model has been downloaded to the Digital-Signal-Processor(DSP) board. To realize the lateral force acting on the front wheel in a real car. the steering wheel angle sensor and vehicle velocity have been used for input signal. The force sensor has been used for a feedback signal. The full vehicle states could by simulated by the HILS system. Consequently, the HILS system could by used to analyze control-parameters of a EPS that contributes to the maneuverability and stability of a vehicle. At the same time, the HILS system can evaluate the whole performance of the vehicle-steering system. Also the HILS system could do test could not be executed in real vehicle. The HILs system will useful for developing the control logic for the EPS system.

A Basic Study on Data Estimation Model of Production-installation Using Mathematical Algorithm in Free-Form Concrete Panel (비정형 콘크리트 패널의 수학적 알고리즘을 이용한 생산-설치 데이터 생성모델 기초연구)

  • Son, Seung-Hyun;Kim, Sun-Kuk
    • Proceedings of the Korean Institute of Building Construction Conference
    • /
    • 2016.05a
    • /
    • pp.166-167
    • /
    • 2016
  • Unlike the past, supported by the development of digital technologies, free-form buildings are frequently designed with creative thoughts of architectural designers. However, there are some difficulties preventing successfully completion of projects, like reduced productivity and increased construction duration and cost upon the process of producing and installing concrete panels for free-form structures. In particular, there are active studies on the CNC machine for production of free-form concrete panels. Yet, it is difficult to effectively and easily come up with information on production and installation of free-form, curve-surfaced panels which are difficult to be mathematically defined. This requires a lot of manpower and time to implement the curved surfaces of free-form buildings as intended by architects. Accordingly, it needs a model that can effectively create production-installation data of free-form concrete panels for successful free-form building projects. Thus, the purpose of the study is to suggest data estimation model of production-installation using mathematical algorithm in free-form concrete panels. The study results will realize effective production and installation of free-form concrete members, allowing improved productivity of projects, reduced cost and shortened construction duration.

  • PDF