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This book summarizes the vast amount of research related to
teaching and learning probability that has been conducted for more
than 50 years in a variety of disciplines. It begins with a
synthesis of the most important probability interpretations
throughout history: intuitive, classical, frequentist, subjective,
logical propensity and axiomatic views. It discusses their possible
applications, philosophical problems, as well as their potential
and the level of interest they enjoy at different educational
levels. Next, the book describes the main features of probabilistic
thinking and reasoning, including the contrast to classical logic,
probability language features, the role of intuitions, as well as
paradoxes and the relevance of modeling. It presents an analysis of
the differences between conditioning and causation, the variability
expression in data as a sum of random and causal variations, as
well as those of probabilistic versus statistical thinking. This is
followed by an analysis of probability's role and main presence in
school curricula and an outline of the central expectations in
recent curricular guidelines at the primary, secondary and high
school level in several countries. This book classifies and
discusses in detail the three different research periods on
students' and people's intuitions and difficulties concerning
probability: early research focused on cognitive development, a
period of heuristics and biases programs, and the current period
marked by a multitude of foci, approaches and theoretical
frameworks.
Dieses Buch fuhrt anschaulich in die Arithmetik komplexer Zahlen
ein und behandelt umfassend ihre Rolle sowohl beim Losen von
Gleichungen wie auch in der Geometrie der Ebene. Ubungsaufgaben mit
Losungen sowie ein Anhang zum Rechnen mit komplexen Zahlen und
konformen Abbildungen in MAPLE komplettieren das Lehrbuch."
Ein schweinfurter Polizist arbeitet ca. 40 Stunden in der Woche.
Den Rest der Zeit verschlaft er oder kampft mit den kleinen und
grossen Problemen des Alltags. Das Buch gewahrt Einblick in alle
Bereiche, auch getraumt wird hier in frankischer Mundart
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