SMS Distinguished Visitor Programme (DVP) 2009
|Programme||Distinguished Visitor Programme (DVP)|
The Distinguished Visitor Programme was launched by the Singapore Mathematical Society in 1998. Through the visit of a distinguished mathematician/mathematics educator, who will interact with both mathematicians/mathematics educators at the universities as well as teachers and pupils at the schools here, the aim of the Programme is to expose as large and diverse an audience as possible to the excitement and relevance of mathematics, thereby enhance the awareness of mathematics in our society.
Professor Roger Howe , Yale University, USA
|Teacher's Workshop||Symmetry and Quadrilateral
Much of the common traditional terminology for quadrilaterals embodies symmetry considerations. All symmetry types of quadrilateral contain the square, and the symmetries of each main type can be related to the symmetries of the square, which affords a reasonably simple, yet still non-trivial example of symmetry analysis. Also, types of distinguised quadrilaterals, such as trapezoids and cyclic quadrilaterals, which are not characterized by obvious intermal symmetries, still are related to symmetry in subtler ways, and can profitably be studied using symmetry. Finally, the behavior of quadrilaterals under affine transformations
can add extra insight into the geometry of quadrilaterals. All these topics will be touched on in this workshop.
|Academic Talk||Between Arithmetic and Algebra
The boundary between arithmetic and algebra is somewhat fuzzy: many word problems can be solved by setting up some equations, then using algebraic manipulations to find solutions; or they can be solved without equations, using more or less complicated arithmetic thought processes. This talk will explore this ambiguous borderland through a sequence of progressively more complex problems. Although the easier problems can be formulated algebraically, to do so might seem like overkill since direct arithmetic solutions are easy to describe. As the problems become more complex, the situation reverses, and at some point,
algebra becomes the easier approach. Throughout, it is instructive to compare the two solution methods and to see their fundamental similarities. Presenting a sequence of such problems to a class might help students see that arithmetic and algebra are closely related, and to appreciate the relative merits of each. In honor of the Singapore audience, the use of the “strip diagram” method will also be discussed.
|Registration:||Online Registration closed|
|Coordinator:||Dr Tan Victor Tel: 65167936 Email: email@example.com|