•Numerical and syntactical text variations generate different answers distributions.•Statistically significant results confirmed solid findings in mathematics education.•Interesting new quantitative ...phenomena emerged concerning a classical topic.•Different impacts of the variations on different categories of students emerged.•The same variation affected differently males and females in a significant way.
In this paper, we present a methodological approach to the investigation of the impacts of text formulation on students’ answers in mathematical problem solving-based assessment. After a review of the related literature in Mathematics education and a review of the methodologies used until now to investigate this research issue, we describe in depth our quantitative approach, providing motivations and examples of its statistical relevance and its potentiality in making interesting phenomena emerge, to be interpreted with further qualitative methods. We observed statistically significant evidences of different impacts of the variations on different categories of students (males/females; students with high and low performances in the whole test). The methodology and our preliminary results can inform researchers in mathematics education, teachers and experts in the agencies that are responsible for large-scale students learning assessment in several contexts (national and international).
Boundary Value Problems is the leading text on boundary value problems and Fourier series. The author, David Powers, (Clarkson) has written a thorough, theoretical overview of solving boundary value ...problems involving partial differential equations by the methods of separation of variables. Professors and students agree that the author is a master at creating linear problems that adroitly illustrate the techniques of separation of variables used to solve science and engineering.
* CD with animations and graphics of solutions, additional exercises and chapter review questions* Nearly 900 exercises ranging in difficulty* Many fully worked examples
This student solutions manual accompanies the text, Boundary Value Problems and Partial Differential Equations, 5e. The SSM is available in print via PDF or electronically, and provides the student ...with the detailed solutions of the odd-numbered problems contained throughout the book.
Provides students with exercises that skillfully illustrate the techniques used in the text to solve science and engineering problemsNearly 900 exercises ranging in difficulty from basic drills to advanced problem-solving exercisesMany exercises based on current engineering applications
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