1,203,714 research outputs found

    Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances

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    NOTICE: this is the authorā€™s version of a work that was accepted for publication in Journal of computational and applied mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of computational and applied mathematics, 235(2011), doi: 10.1016/j.cam.2011.04.041This article discusses the oscillatory behaviour of the differential equation of mixed type

    On the performance of a hybrid genetic algorithm in dynamic environments

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    The ability to track the optimum of dynamic environments is important in many practical applications. In this paper, the capability of a hybrid genetic algorithm (HGA) to track the optimum in some dynamic environments is investigated for different functional dimensions, update frequencies, and displacement strengths in different types of dynamic environments. Experimental results are reported by using the HGA and some other existing evolutionary algorithms in the literature. The results show that the HGA has better capability to track the dynamic optimum than some other existing algorithms.Comment: This paper has been submitted to Applied Mathematics and Computation on May 22, 2012 Revised version has been submitted to Applied Mathematics and Computation on March 1, 201

    Analytical and numerical investigation of mixed-type functional differential equations

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    NOTICE: this is the authorā€™s version of a work that was accepted for publication in Journal of computational and applied mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of computational and applied mathematics, 234 (2010), doi: 10.1016/j.cam.2010.01.028This journal article is concerned with the approximate solution of a linear non-autonomous functional differential equation, with both advanced and delayed arguments

    The numerical solution of forwardā€“backward differential equations: Decomposition and related issues

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    NOTICE: this is the authorā€™s version of a work that was accepted for publication in Journal of computational and applied mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of computational and applied mathematics, 234,(2010), doi: 10.1016/j.cam.2010.01.039This journal article discusses the decomposition, by numerical methods, of solutions to mixed-type functional differential equations (MFDEs) into sums of ā€œforwardā€ solutions and ā€œbackwardā€ solutions

    The Relationship Between Studentsā€™ Applied Mathematics Skills and Studentsā€™ Attitudes Towards Mathematics

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    Mathematics is a subject with which many students struggle. It has been noted that studentsā€™ attitudes towards mathematics can often affect their performance in related courses. The goal of this research is to explore the relationship between studentsā€™ basic applied mathematics skill and studentsā€™ attitudes towards mathematics. That is, do students, as they learn how to use mathematics in the real world, tend to develop a more favorable outlook towards mathematics? Or, on the other hand, do the attitudes towards mathematics of students remain unaffected as their ability to use mathematics in the real world increases? The current research seeks to clarify these propositions in an effort to improve mathematics instruction by providing educators with a better understanding of studentsā€™ attitudes towards mathematics. Multiple linear regression analysis found that attitude toward mathematics was indeed significantly related to studentsā€™ basic applied mathematics skill. Attitude toward mathematics explained 29.7% of the variance observed in basic applied mathematics skill. Attitudinal subscales were also analyzed. Student self-confidence and motivation were both significant predictors of basic applied mathematics skill. In a separate analysis, attitude toward mathematics was found not to be significantly related to mathematical achievement in the college classroom

    Developing ICT for Primary and Secondary Mathematics Teacher Professional Development: The Use of VTR in Lesson Study

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    Most (mathematics) teachers candidates have little opportunity to observe effective teaching in an actual classroom as many of their first learning experiences were based in a traditional classroom where rules were applied methodically to solve problems. In other words, they lack the experience base to meaningfully observe the classroomā€™s complex and rapid interactions. The use of video tape recorder (VTR) is one of the aspects of developing ICT to promote teachers professional development. Through Lesson Studies activities, some Indonesian teachers have experiences to reflect their teaching through VTR. Reflecting good teaching practice of mathematics form different context through VTR was proved to evidently encourage and motivate teachers to improve their teaching competencies. In some parts of the activities of teachers professional development programs in Indonesia, year 2002ā€ 200, the reflections through VTR of Japanesse context and Indonesian context resulting teachersā€™ perception that it was a good model of mathematics teaching that can possibly be implemented in Indonesia. However, the techers were aware that to implement such good model there are some fundamental constraints should be overcome. Key Words: ICT, VTR, professional development, mathematics teacher, lesson stud

    Designing and Developing a Model Applied Mathematics Curriculum for Taiwanese-Canadian Extension School Students, in Grades Ten through Twelve in Vancouver, British Columbia, Canada

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    The purpose of the project was to design and develop a model applied mathematics curriculum for Taiwanese-Canadian extension school students, in grades ten through twelve in Vancouver, British Columbia, Canada. To accomplish this purpose, a review of current research and literature regarding curriculum and instruction related to applied mathematics was conducted. Additionally, related information from selected schools with applied mathematics programs in Taiwan, Canada, and the United States of America, was obtained and analyzed. A handsearch of various other sources was also conducted
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