In this paper, creative mathematical activities of school pupils in conditions of the differentiated teaching in Russian Federation are described. Various forms of differentiated teaching (internal – level, external – profile) are characterized. Ways of using entertaining problems for detecting and fostering mathematical abilities are revealed. New course of geometry for differentiated teaching is introduced.

Zugl.: Kassel, Universiẗat, Diss., 2008.

Chemnitz, Techn. Univ., Staatsexamensarb., 2003.

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Die allgemeine Zielsetzung dieser Arbeit besteht darin, das Medium Trainingsfilm systematisch zu präzisieren und im Hinblick auf den optimierten Einsatz in der Personalentwicklung theoretisch und empirisch zu untersuchen. Das Medium Trainingsfilm wird definitorisch greifbar gemacht und taxonomisch gegenüber anderen Mediengattungen abgegrenzt. Seine historischen Wurzeln werden aufgezeigt und Vor- und Nachteile seines Einsatzes in der Personalentwicklung diskutiert. Auf der Basis von lern- und lehrtheoretischen Erörterungen werden - unter Heranziehung relevanter kommunikations- und filmwissenschaftlicher Befunde - die Qualitätskriterien von Trainingsfilmen erarbeitet. Diese werden zumindest in Teilen einer empirischen Überprüfung unterzogen. Es wird ein mehrdimensionaler Klassifikationsansatz dargestellt, der als grundlegende filmische Dimensionen den Inhalt, die Struktur und die affektive Wirkabsicht eines Trainingfilms voraussetzt. Zudem werden verschiedene Zukunftsszenarien von Trainingsfilmen beschrieben, die sich aufgrund der zunehmenden technischen Entwicklung und Verbreitung des Internets und des Mediums Trainingsfilm als hybride Lehr-Lern-Arrangements charakterisieren lassen. / It is the overarching aim of this research to state, in a systematic way, the nature of the medium of the training film more precisely and to examine it theoretically and empirically with hindsight to its optimized use in personnel development. The medium training film will be defined more closely and taxonomically distinguished from other genres of the media. Its historical roots will be looked at and advantages and disadvantages of its use will be discussed. Based on a discussion of teaching and learning theory and in consideration of relevant evidence from communications theory and film theory the quality criteria of training films will be worked out. These will, at least in parts, be subjected to empirical examination. A multi-dimensional classificatory approach will be used which will presuppose as basic filmic dimensions the content, the structure and the affective intension of effectiveness of a training film. In addition different future scenarios of training films will be described which due to further technical developments and spread of the internet and of the medium of the training film, could be characterized as hybrid teaching and learning arrangements.

The transition from school to tertiary study of mathematics is rightly coming under increasing scrutiny in research. This paper employs Tall’s model of the three worlds of mathematical thinking to examine key variables in teaching and learning as they relate to this transition. One key variable in the transition is clearly the teacher/lecturer and we consider the perspectives of both teachers and lecturers on teaching related matters relevant to upper secondary and first year tertiary calculus students. While this paper deals with a small part of the data from the project, which aims to model the transition, the results provide evidence of similarities and differences in the thinking of teachers and lecturers about the transition process. They also show that each group lacks a clear understanding of the issues involved in the transition from the other’s perspective, and there is a great need for improved communication between the two sectors.

In this paper, creative mathematical activities of school pupils in conditions of the differentiated teaching in Russian Federation are described. Various forms of differentiated teaching (internal – level, external – profile) are characterized. Ways of using entertaining problems for detecting and fostering mathematical abilities are revealed. New course of geometry for differentiated teaching is introduced.

No description available.