EAN: 9783658437626

UNDERSTANDING THE GENERALITY OF MATHEMATICAL ST...

In this open access book Milena Damrau investigates the understanding of generality of
mathematical statements in first-year university students and its relation to other
proof-related activities. Through an experimental study  she particularly analyses the effect
of different types of arguments (empirical  generic  and ordinary proofs) and statements
(familiar and unfamiliar  as well as true and false ones) on several proof-related activities.
The results reveal students' struggles with the concept of generality  how their understanding
of generality is related to proof reading and construction and how different types of arguments
and statements impact students' performance in other proof-related activities. The findings
offer valuable insights for improving mathematics courses at the transition from school to
university and highlight the need for more experimental studies in mathematics education.

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