One of the most remarkable gifts human civilization has inherited from ancient Greece is the
notion of mathematical proof. The basic scheme of Euclid's Elements has proved …

Many researchers and curriculum frameworks recommend that the concept of proof and the
corresponding activity of proving become part of students' mathematical experiences …

After surveying high-attaining 14-and 15-year-old students about proof in algebra, we found
that students simultaneously held 2 different conceptions of proof: those about arguments …

Page 1 Proof in Mathematics Education Page 2 Page 3 Proof in Mathematics Education
Research, Learning and Teaching David A. Reid Christine Knipping Acadia University …

This article presents a comparison of the proof validation behavior of beginning
undergraduate students and research-active mathematicians. Participants' eye movements …

Current reform efforts in the United States arecalling for substantial changes in the
natureand role of proof in secondary schoolmathematics–changes designed to provide all …

We develop a theory of grounded and embodied mathematical cognition (GEMC) that draws
on action-cognition transduction for advancing understanding of how the body can support …

Although students of all levels of education face serious difficulties with proof, there is limited
research knowledge about how instruction can help students overcome these difficulties. In …

This article addresses the nature and extent of reasoning and proof in the written (ie,
intended) curriculum of 20 contemporary high school mathematics textbooks. Both the …

The one sentence answer to the question in the title is that the ability to prove depends on
forms of knowledge to which most students are rarely if ever exposed. The paper gives a …