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Now showing items 541-550 of 578
Aufsatz
Applications and modelling in mathematics teaching
(1991)
The aim of this paper is a comprehensive presentation of some important basic and general aspects of the topic applications and modelling, with emphasis on the secondary school level. Owing to the review character of this paper, some overlap with the survey paper Blum and Niss (1989) for ICME-6 in Budapest is inevitable. The paper will consist of three parts. In part 1, I shall try to clarify some basic concepts and remind the reader of a few application and modelling examples suitable for teaching. In part 2, I shall ...
Aufsatz
Applied mathematical problem solving, modelling, applications, and links to other subjects
(1991)
The paper will consist of three parts. In part I we shall present some background considerations which are necessary as a basis for what follows. We shall try to clarify some basic concepts and notions, and we shall collect the most important arguments (and related goals) in favour of problem solving, modelling and applications to other subjects in mathematics instruction. In the main part II we shall review the present state, recent trends, and prospective lines of development, both in empirical or theoretical ...
Aufsatz
Preformal proving: examples and reflections
(1991)
The starting point of our reflections is a classroom situation in grade 12 in which it was to be proved intuitively that non-trivial solutions of the differential equation f' = f have no zeros. We give a working definition of the concept of preformal proving, as well as three examples of preformal proofs. Then we furnish several such proofs of the aforesaid fact, and we analyse these proofs in detail. Finally, we draw some conclusions for mathematics in school and in teacher training.
Aufsatz
Mathematical modelling in mathematics education and instruction
(1993)
This paper aims at giving a concise survey of the present state-of-the-art of mathematical modelling in mathematics education and instruction. It will consist of four parts. In part 1, some basic concepts relevant to the topic will be clarified and, in particular, mathematical modelling will be defined in a broad, comprehensive sense. Part 2 will review arguments for the inclusion of modelling in mathematics teaching at schools and universities, and identify certain schools of thought within mathematics education. ...
Aufsatz
Femtosecond probing of sodium cluster ion Na_n ^+ fragmentation
(1992)
We report on the first femtosecond time-resolved experiments in cluster physics. The photofragmentation
dynamics of small sodium cluster ions Na_n ^+ have been studied with pump-probe techniques. Ultrashort
laser pulses of 60-fs duration are employed to photoionize the sodium clusters and to probe the
photofragments. We find that the ejection of neutral dimer Na_2 and, observed for the first time, neutral
trimer Na_3 photofragments occur on ultrashort time scales of 2.5 and 0.4 ps, respectively. This and the
absence ...
Dissertation
Linear-elastische Wellen in vordeformierten Medien
(Institut für Mechanik, Universität Gesamthochschule Kassel, 1994-12)
Dissertation
Zur statischen und dynamischen Analyse rotierender elastischer Strukturen (Turbinenschaufeln, Verdichter) bei transienten Betriebsbedingungen
(Institut für Mechanik, Universität Gesamthochschule Kassel, 1994-12)
Die vorliegende Arbeit stellt die erforderlichen theoretischen Zusammenhänge zur Berechnung von rotierenden elastischen Strukturen wie etwa Turbinen- und Verdichterschaufeln, Laufräder, Scheiben etc. zusammen und zeigt die Entwicklung eines entsprechenden FEM-Programm-Systems. Es ermöglicht die Berechnung der Eigenfrequenzen und Eigenformen von Einzelstrukturen und rotations-periodischen Strukturen in Abhängigkeit von der Drehfrequenz unter Einbeziehung aller wesentlichen Effekte. Weiterhin ist es möglich für einen ...
Dissertation
Lösung von Randwertaufgaben der Elastoplastizität
(Institut für Mechanik, Universität Gesamthochschule Kassel, 1993-11-30)
Aufsatz
Calculations of the polycentric linear molecule H^2+_3 with the finite element method
(1993)
A fully numerical two-dimensional solution of the Schrödinger equation is presented for the linear polyatomic molecule H^2+_3 using the finite element method (FEM). The Coulomb singularities at the nuclei are rectified by using both a condensed element distribution around the singularities and special elements. The accuracy of the results for the 1\sigma and 2\sigma orbitals is of the order of 10^-7 au.