Matematikdidaktik
En teoretisk studie av att lära algebra
This is a literature study of learning mathematics in general and algebra in particular. The goal is to explore and investigate the learning procedure and the difficulties pupils have with their understanding. Furthermore, to understand what qualities is requested of pupils in their effort to be successful in mathematics and algebra. I have also explored different pupil thinking styles in mathematics and what consequences that has on their learning and understanding. Moreover, I have investigated some different learning styles and how they can be addressed in teaching of mathematics in general and algebra in particular. Finally, the goal has been to suggest how you can improve the teaching in order to enhance the understanding of algebra. As a result I have presented a variety of methods to literally illustrate the basic concepts of algebra. The conclusions of this work are that it is possible to make algebra more visual or kinaesthetic by illustrating the function of the equal sign as a similarity and not an operational command by scales for instance, in order to enhance the understanding of algebra. Additionally, it is for example possible to make the multiplication of binomial visual or kinaesthetic by treating the product of the binomials as an area of a rectangle with the binomials as sides. Finally, the importance of team work should not be underestimated as it lets the pupils learn from each other, toss ideas and develop a more flexible thinking style.