Is proof dead in the age of computers?

Some knowledge of what it means to construct a proof is an extremely important part of mathematics. All mathematics teachers and students should have some exposure to the ideas of proof and proving. This paper deals with the issue of creating proofs in mathematics problems.

Is proof dead in the computer-age school curriculum?

The article questions the status of proof in mathematics. The article mentions that proof has always been the driving force in historical developments in mathematics. It mentions that proof has been for centuries the staple of mathematics and is used to prepare students for higher mathematical studies and to help them learn to handle the demands of daily life. It cites that changes in school curriculum in the last decades of the twentieth century has rendered proof-free mathematics.

Proof of Concept : developing a peer reviewed evidence-based interactive e-learning programme

Knowledge and skill acquisition related to vascular access are traditionally individual institutional educational initiatives. Australia currently has no national evidence based education programme for renal nurses. A survey of Australian and New Zealand Nephrology Educators' conducted in 2009, identified the need for more effective and consistent delivery of clinical education for nurses using innovative, web-based approaches supporting the tenets of e-learning methodologies. This paper discusses the development, implementation and proposed evaluation of a peer reviewed Australasian e-learning programme on buttonhole cannulation. It will further highlight the benefits of inter-organisational partnerships and how these partnerships can facilitate positive change in teaching and learning practices. This project has unique characteristics that collectively provide value, distinction and innovation to nurses, patients and renal departments. As the e-learning programme was founded on a platform of evidence-based practice it is therefore easily transferable to an international context.

Future teachers' professional knowledge on argumentation and proof : a case study from universities in three countries

In this paper, qualitative results of a case study about the professional knowledge in the area of argumentation and proof of future teachers from universities in three countries are described. Based on results of open questionnaires, data about the competencies these future teachers have in the areas of mathematical knowledge and knowledge of mathematics pedagogy are presented. The study shows that the majority of the future teachers at the participating universities situated in Germany, Hong Kong and Australia, were not able to execute formal proofs, requiring only lower secondary mathematical content, in an adequate and mathematically correct way. In contrast, in all samples there was evidence of at least average competencies of pedagogical content reflection about formal and pre-formal proving in mathematics teaching. However, it appears that possessing a mathematical background as mandated for teaching and having a high affinity with proving in mathematics teaching at the lower secondary level are not a sufficient preparation for teaching proof.