• Title/Summary/Keyword: reducing abstraction

Search Result 9, Processing Time 0.024 seconds

Mathematics Teachers' Abstraction Levels and Multiple Approaches: The Case of Multiplicative and Divisibility Structure of Numbers

  • Unal, Hasan
    • Research in Mathematical Education
    • /
    • v.13 no.3
    • /
    • pp.197-216
    • /
    • 2009
  • The purpose of this study was to investigate middle and high school mathematics teachers' levels and multiple approaches in United States practicing their abstraction levels and, different strategies and method of solutions towards given number theory problems. The mathematics teachers taking part in this study are consisted of 25 members of online graduate and undergraduate course (MAE 5641 and MAE 4813) delivered through Online Learning System called as the Blackboard (http://www.blackboard.com). Data collection methods include journal entries, written solutions to problems, the teachers' reflections on said problems, and post interviews. Data analysis was done based on [Hazzan, O. & Zazkis, R. (2005). Reducing abstraction: The case of school mathematics. Educ. Stud. Math. 58(1), 101-119]. Analysis of students' written solutions revealed that transitions among the solution methods have major effect on abstraction levels. Elevation and reducing abstraction is a dynamic process.

  • PDF

Design and Implementation of Mathematics Textbooks in Support of Effective Teaching for Secondary Schools: A Chinese Case

  • PENG, Aihui;SONG, Naiqing
    • Research in Mathematical Education
    • /
    • v.19 no.4
    • /
    • pp.247-265
    • /
    • 2015
  • Mathematics textbook plays a significant role in shaping students' learning of mathematics. Logic, rigor and abstraction as typical features of the formalization of mathematics, dominate mathematics textbooks around the world, which is regarded as one of the important origins of students' learning difficulties in mathematics. An innovative series of Chinese mathematic textbooks is presented in this paper. Supported by the supplementary materials excerpts from the textbooks, it gives a comprehensive theoretical analysis of the principles of design and implementation of this series of mathematics textbooks. The effectiveness of this series of textbooks is demonstrated by student achievement and secondary research data. It shows that series of Chinese mathematic textbooks has largely decreased students' learning difficulties in mathematics and enhance classroom teaching efficiency. It suggests that prioritizing the essence of mathematics and reducing abstraction is an important notion for mathematics textbook design and implementation.

Power-conscious high level synthesis using loop folding (루프의 중첩을 이용한 저전력 상위 수준 합성)

  • 김대홍;최기영
    • Journal of the Korean Institute of Telematics and Electronics C
    • /
    • v.34C no.6
    • /
    • pp.1-10
    • /
    • 1997
  • By considering low power design at higher levels of abstraction rather than at lower levels of abstraction, we can apply various transformation techniques to a system design with wider view and obtain much more effective power reduction with less cost and effort. In this paper, a transformation technique, called power - conscious loop folding is proposed for high level synthesis of a low power system.Our work is focused on reducing the power consumed by functional units in adata path dominated circuit through the decrease of switching activity. Te transformation algorithm has been implemented and integrated into HYPER, a high level synthesis system for experiments. In our experiments, we could achieve a pwoer reduction of up to 50% for data path dominated circuits.

  • PDF

Mono-dehalogenation of gem-Dihalocyclopropanes Using Tetracarbonylhydridoferrate

  • Shim, Sang-Chul;Lee, Seung-Yub;Lee, Dong-Yub;Choi, Heung-Jin
    • Bulletin of the Korean Chemical Society
    • /
    • v.15 no.10
    • /
    • pp.845-849
    • /
    • 1994
  • Tetracarbonylhydridoferrate, $HFe(CO)^-_4$, generated by the reaction of $Fe(CO)_5$ with alkaline solution, is a good reducing agent for mono-dehalogenation of gem-dihalocyclopropanes. It also acts as a good reducing catalyst under phase transfer reaction conditions. 1,1-Dibromo-2-phenylcyclopropane and 1,1-dichloro-2-phenylcyclopropane were reduced to the corresponding mono-dehalogenated products in excellent yields. Thermodynamically stable trans-l-bromo-2-phenyl cyclopropane was formed as the major product over the cis-isomer, trans/cis=3/2. The 1-bromo-2-phenyl cyclopropane radical intermediate was formed by single electron transfer from $HFe(CO)^-_4$. Dissociation of bromide anion, followed abstraction of hydrogen radical from alcoholic solvent would lead to the formation of the stable trans-isomer. The further mechanistic aspects were discussed.

Effects of Aromatherapy on Menopausal Symptoms, Perceived Stress and Depression in Middle-aged Women: A Systematic Review (아로마테라피가 중년여성의 갱년기 증상, 스트레스 및 우울에 미치는 효과: 체계적 문헌고찰)

  • Kim, Shinmi;Song, Ji-Ah;Kim, Mi-Eun;Hur, Myung-Haeng
    • Journal of Korean Academy of Nursing
    • /
    • v.46 no.5
    • /
    • pp.619-629
    • /
    • 2016
  • Purpose: This study was a systematic review to evaluate the effects of aromatherapy on menopausal symptoms, perceived stress and depression in middle aged-women. Methods: Eight databases were searched from their inception September 8, 2015. Two reviewers independently performed the selection of the studies, data abstraction and validations. The risk of bias was assessed using Cochrane criteria. For analysis of the data, a meta-analysis of the studies was performed. Results: From the electronic databases, 73 articles were selected, and 19 removed due to duplication. After two reviewers read the abstracts of 54 studies, 34 studies were selected. Complete papers for 34 s were read and, 12 studies which met selection criteria were reviewed and the effects of aromatherapy on menopausal symptoms, stress and depression analyzed using meta-analysis with RevMan. In the 2 studies which included Randomized Controlled Trials testing of aromatherapy on menopausal symptoms and comparison of control and placebo groups were done. Aromatherapy massage was favorably effective in reducing the menopausal symptoms compared to the control group (n=118, MD=-6.33; 95% CI -11.51 to -1.15), and compared to the placebo group (n=117, MD=-4.14; 95% CI -7.63 to -0.64). Also aromatherapy was effective in reducing stress (n=72, SMD=-0.64; 95% CI -1.12 to -0.17) and depression (n=158, MD=-5.63; 95% CI -10.04 to -1.22). Conclusion: There is limited evidence suggesting that aromatherapy for middle-aged women may be effective in controlling menopausal symptoms, perceived stress and depression.

GoF design patterns based object-oriented Total Maximum Daily Load software design (GoF 디자인 패턴기반 객체지향 오염총량제 소프트웨어 설계)

  • Kim Hyung-Moo;Kwak Hoon-Seong
    • The KIPS Transactions:PartD
    • /
    • v.12D no.1 s.97
    • /
    • pp.73-80
    • /
    • 2005
  • The purpose of using CBD in the object-oriented modeling is to improve the software capability by reducing iterative time and space complexity. Despites many achievements of CBD, it is needed to study about design patterns and it's standardization for the increment of CBD design reusability. However, it is rather possible that impetuous constructing meta-pattern languages and pattern repositories make adapting patterns to software development more complicate and difficult. By applying GoF design patterns to the design of the TMDL(Total Maximum Daily Load) environmental software discipline, this study suggests a method which specifies Pattern names at class names for retrieving, exploring the adapted patterns on the stage of software design without meta-pattern language which is a redundant abstraction, nor additional pattern repositories. Thus, this study can contribute on the reducing iterations and repetitions that are frequently occurred in the process of the environmental software developments.

Dyeing Technique and Aesthetics of Diffusing Image Pattern in Fashion Collection (패션 컬렉션에 나타난 번지는 이미지 문양의 염색기법과 조형미)

  • Ryu, Hyun-Jung
    • Journal of the Korea Fashion and Costume Design Association
    • /
    • v.14 no.3
    • /
    • pp.1-10
    • /
    • 2012
  • This study has purpose to understanding recent trends and image effect of textile in fashion by looking to dyeing technique and aesthetics of diffusing image pattern. Further the study will hope to provide basic data for fashion and textile designer fashion. The methods of this study are academic literatures as well as practical study through case studies about actual works. Dyeing techniques and aesthetics of diffusing image pattern since 2000 fashion collection and their results are as follows. First, Dyeing techniques of diffusing image pattern are wet-dyeing and printing. There are plangi dyeing, salt dyeing, alcohol dyeing and ikat dyeing in the wet-dyeing and spray dyeing, discharge dyeing in the printing. There are tie-dyeing, rumpling-dyeing and plank-dyeing in the plangi. Second, Forming of the diffusing image pattern are due to uneven seeping and the contingency of a chemical reaction by reducing the pressure and intensity. Third, Aesthetics of diffusing image pattern are extracted purity missing childhood, fantasy escaping facts of the situation and abstraction representing informal world from formative characteristics of diffusing image pattern.

  • PDF

Efficient Non-photorealistic Rendering Technique in Single Images and Video (영상 동영상에서의 효율적인 비사실적 렌더링)

  • Son, Tae-Il;Park, Kyoung-Ju
    • Journal of Korea Multimedia Society
    • /
    • v.15 no.8
    • /
    • pp.977-985
    • /
    • 2012
  • The purpose of this study was to present a non-photorealistic rendering technique that is efficient in single images and moving images. In case of single images, they could be processed in a real-time base by realizing flow-based DoG filter and bilateral filter, which have been frequently used in the single image NPR technique recently, in the CUDA environment. In case of moving images, the investigator presented not the existing method of NPR moving images which generating images by applying the single image NPR technique to every frame, but the method of using the single image NPR technique in the first frame and stylizing it, and then of using the motion vector-based pixel mapping in the second frame on and copying the bright values of pixels that move on the frame into the location of next frame's motion vector, thus reducing unnecessary volume of calculation and maintaining the consistency between frames. In this study, the performance of this method was proved via an experiment.

A Study of Medical Abstraction on 'The Theory of Byeongin' (病因論) of Kim Goo Young (김구영(金久永)의 『병인론(病因論)』에 나타난 의학사상 연구)

  • Kim, Chong-Won;Kim, Namil;Cha, Wung-Seok
    • The Journal of Korean Medical History
    • /
    • v.30 no.1
    • /
    • pp.11-22
    • /
    • 2017
  • This paper is a study on the life and clinical reasoning of Kim Goo Young (1958-2014). Offering a new perspective through his interpretation of Donguibogam (東醫寶鑑), Kim introduced his unique theory of Korean medicine, 'The Theory of Byeongin (病因論)'. Kim recognized the confusing situation of communication between people studying Korean medicine and tried to make a new standard based on the principle that many people can share. 'The Theory of Byeongin' offers a newly constituted "Donguibogam" focusing on 'Byeongin' (病因, pathologic origin) which can be translated as the cause of a disease. In so doing Kim recognized 'Byeongin' as the most important factor in 'Byeonjeung' (辨證, classifying the origin), or the classification method of symptoms. In addition, Kim recognized how 'Byeongin' was considered to be a diseased lifestyle, and tried interpreting. The patient's lifestyle to treat diseases. As a result, 'The Theory of Byeongin' is a theory consisting of an intuitive structure, reducing notable elements like Yin Yang Five Movement theory. The theory's significant characteristic is its easy application in clinical settings due the established core principles which are based on Kim's insight and clinical experience. This study contributes to the understanding of the theoretical and clinical development of Korean medicine through deeper studies on 'The Theory of Byeongin' and Kim's medical theory.