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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.
The sixth monograph of AMTE highlights examples of the important
scholarship of the mathematics teacher education community. This
monograph, like others produced by AMTE, serves as a forum for
mathematics teacher educators to exchange ideas, experiences,
resources, and detailed accounts of work to improve preservice and
inservice teacher preparation. Chapters address important issues
such as: designing tasks to emphasize mathematics knowledge for
teaching; capitalizing on opportunities for student teaching mentor
learning; and learning to lead classroom mathematics discussions.
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Paperback
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R398
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Discovery Miles 3 300
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