Understanding the Generality of Mathematical Statements
An Experimental Study at the Transition from School to University
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Chapter
Derivation of Research Questions
In this chapter, the author summarizes research desiderata regarding several proof-related activities based on the previous chapter. She then derives and specifies the research questions of the present thesis ...
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Chapter
Conclusions
In this final chapter, the author concludes the thesis with a short summary of what has been achieved and an outlook regarding theoretical and practical implications.
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Chapter
Introduction
In this introductory chapter, the author highlights the significance of the topic based on previous research and thoroughly identifies the gap in the literature. The main goals of the present study and how the...
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Book
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Chapter
Theoretical Background of Mathematical Statements and Proof
In this chapter, the theoretical basis for the conceptualization of understanding generality and proof is built. Thereby, characteristics of mathematical statements and generality are highlighted, particularly...
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Chapter
Results
In this chapter, information on the sample characteristics and findings from preliminary analysis are given before the results are presented comprehensively, guided by the research questions. Then, observation...
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Chapter
State of Research
This second theoretical chapter provides an overview of the current state of research on students’ understanding of generality of statements and proofs as well as proof-related activities relevant for this the...
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Chapter
Methodology
In this chapter, the chosen research approach, the design of the study, the construction of instruments, and the collection and analysis of data are thoroughly described and justified.
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Chapter
Discussion
In this chapter, the research findings presented in the previous chapter are interpreted and discussed in detail with respect to prior research. Further, the author reflects on methodological decisions and the...
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Article
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Teacher noticing can be an important element in improving teaching and students’ mathematical success. While the focus of the international project Learning from Lessons was on teacher learning, in this paper we ...
