Скачать или смотреть "Developing student's mathematical thinking through investigatory projects" by Jonaki Ghosh

One of the primary goals of mathematics education is to ensure that students learn mathematics with understanding. The emphasis in the mathematics classroom, especially at the school level, needs to shift from memorising procedures and techniques to conjecturing, meaningful problem solving and developing mathematical reasoning. In order to achieve this goal it is important for teachers and educators to delve into the various aspects of the nature of mathematics and find ways of helping students develop their mathematical thinking.
In this presentation we shall highlight that investigatory projects offer students tremendous scope to explore mathematical ideas, appreciate a wider range of mathematics and apply mathematical concepts to real life situations. Examples of student's investigations, in projects based on topics such as cryptography, numerical methods, Fourier series and fractal geometry will be illustrated where technology in the form of Computer Algebra Systems, graphing software and spreadsheets were used for exploration and computation. It will be shown that projects can inspire students to explore higher level mathematics and provide many learning opportunities for engaging in mathematical processes such as simplifying and generalizing problems, looking for patterns, problem posing and generating new questions for exploration.