1,203,714 research outputs found
Analytical and numerical treatment of oscillatory mixed differential equations with differentiable delays and advances
NOTICE: this is the authorās 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
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
NOTICE: this is the authorās 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 forwardābackward differential equations: Decomposition and related issues
NOTICE: this is the authorās 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 āforwardā solutions and ābackwardā solutions
The Relationship Between Studentsā Applied Mathematics Skills and Studentsā Attitudes Towards Mathematics
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
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 classroomās 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
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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