Proof in mathematics education : research, learning and teaching
Research on teaching and learning proof and proving has expanded in recent decades. This reflects the growth of mathematics education research in general, but also an increased emphasis on proof in mathematics education. This development is a welcome one for those interested in the topic, but also poses a challenge, especially to teachers and new scholars. It has become more and more difficult to get an overview of the field and to identify the key concepts used in research on proof and proving
1 online resource (xiv, 251 pages) : illustrations
749021258
Preliminary Material
What is Proof?
History of Proof
Usages of "Proof" and "Proving"
Researcher Perspectives
Important Research Foci, Past and Present
Empirical Results
The Role of Proof
Types of Reasoning
Classifying Proofs and Arguments
Argumentation
Teaching Experiments
Processes of Reasoning and Argumentation
Argumentation Structures
Patterns of Reasoning
Conclusions
Implications for Teaching
Directions for Research
References
Author Index
Subject Index
Electronic reproduction, [Place of publication not identified], HathiTrust Digital Library, 2011