An investigation of the Gregorian chronology of early Islamic history : A Pilot Study

This pilot study presents a lunar and Gregorian chronology of the Sira, that is the biography of the prophet Muhammad. The paper discusses the problems surrounding the chronology of very early Islamic history, namely, the pre‐Hijra era. This history is not covered by the Hijra calendar, and therefore, historians dated its events using other primitive dating systems, resulting in considerable difficulties and inaccuracies when comparing Gregorian dates of this early Islamic history. In order to overcome this problem and establish an accurate chronology of the early Islamic history, the introduction of a new lunar calendar (the Muhammadi calendar) which starts with the birth month and year of the prophet Muhammad, and covers all Islamic history including the pre‐Hijra era, is suggested. The Muhammadi calendar was used to study the earliest three versions of the Sira. All dated events of the Sira were compiled from these sources and presented, for the first time, according to their historical order. The Muhammadi dates of these events were then calculated. For the first time, a computer program was designed to convert the Muliammadi dates to their Christian equivalent. The program was then used to compute the Gregorian dates of the events of the Sira.     

An investigation on industry-sponsored design projects' effectiveness at the first-year level: potential issues and preliminary results

This paper presents the preliminary work for developing guidelines to ensure that industry-sponsored projects in first-year courses aid, not hamper, retention of students. Specifically, the overall research plan includes the following steps: (1) investigating the appropriateness of industry projects in a required introduction to engineering design course (approximately 1000 students per year), (2) assessing the impact of industry-sponsored projects on first-year students' learning and retention, and (3) promoting an awareness of issues involved in successfully introducing industry projects in the first year. It is expected that the outcomes of this work will result in guidelines widely applicable by other institutions looking into or currently using industry projects in the first year, thereby addressing the recognized national need of increasing retention rates, especially amongst women and minorities.

This paper covers a review of potential factors affecting industry-sponsored projects' appropriateness at the first year, and related preliminary data.     

Women,Research Performance and Work Context

This article presents findings from a qualitative study focused on the conditions that support high research productivity in women. Interviewees were all active researchers and many were national or international leaders in their respective fields. While personal factors such as motivation, focus, and good scholarly habits were identified as influencing their research success, interviewees also placed significant emphasis on aspects of their workplace culture and practice (teaching and research connections, degrees of flexibility, work–family interface) that they felt were equally important in determining their options and opportunities for conducting research. This suggests that universities concerned with enhancing the research performance of staff need to recognize—and respond to—how workplace dynamics and culture shape individual research participation.     

Schematising activities in early childhood education

The purpose of this study was to determine the importance of introducing schematising to children in early childhood and to determine whether schematising can be taught to children. This was done using a longitudinal, quantitative study with a quasi-experimental design (N = 133). In this study, the use of schematising was taught to an experimental group of children to determine if it is possible to realise significantly improved results in schematising tasks for an experimental group in comparison to a control group of children who were not taught schematising. Pupils in the experimental group demonstrated significantly better results on schematising, which cannot be explained by maturation. In our future research, we will investigate the mathematical performances of these experimental and control groups in the next grade of the primary school curriculum.     

The development of computational estimation in the transition from informal to formal mathematics education

European Journal of Psychology of Education - The transition from informal to formal mathematics is an important episode in children’s mathematical development. The current study investigated...     

Chebyshev polynomial solutions of systems of higher-order linear Fredholm-Volterra integro-differential equations

A Chebyshev collocation method, an expansion method, has been proposed in order to solve the systems of higher-order linear integro-differential equations. This method transforms the IDE system and the given conditions into the matrix equations via Chebyshev collocation points. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Chebyshev coefficients of the solution function. Some numerical results are also given to illustrate the efficiency of the method. Moreover, this method is valid for the systems of differential and integral equations.