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In elementary mathematics instruction four types of calculation should be distinguished from each other: mental calculation, informal strategies, written algorithms, and the use of calculators. Each of these methods is connected with a specific degree ofimportance, but written algorithms...
The understanding of Simpson’s paradox is thoroughly discussed as an important example of a contribution of mathematics education to general education.
A model for the learning and teaching of mathematically highly gifted students from a combined interactionist and constructivist perspective is discussed and critically compared with an information processing approach, STEINBERGs “triarchic theory”. The model is used for the interpretation of...
If a functional dependence is consciously perceived and used to solve problems, then this is regarded as functional thinking. The empirical research which was carried out between 1987 and 1992 had the aim to determine the age at which functional thinking develops. The investigation involved a...
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