Rich Experiences - fx-9860G AU PLUS
Some 'rich experiences' offer students the necessary support (and challenge) to understand a concept in a deep way - developing a way of thinking about the concept that simplifies the process of using it. Others offer students the necessary support (and challenge) to understand and then solve genuine problems and in the process work in a manner something like that of a mathematician.
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Optimisation When studying quadratic functions/calculus, do too many of your students find 'optimisation questions' hard? Have you ever wondered why? The booklet you can download here is the unit of work that supports the ideas presented in a number of workshops during 2011 that outlined why students find the ideas hard. Basically, traditional teaching-and-doing approaches fail to focus on what is really happening: the measurement on one dimension and the subsequent calculation of other dimensions. Also, algebraic simplification turns out to be the devil - the patterns in the symbols are lost and so generalisation is not 'seen'! The approach in the booklet supports the idea of each student developing a calculation and then comparing and contrasting to it other's calculations - it is in this that the symbolic patterns appear and the generalisation literally reveals itself. Keep an eye out for a workshop on this at either state conferences or our own workshop series. |
