Problem Solving in Mathematics Textbooks

.......................................................................................................... 2 List of Papers .................................................................................................. 5 CHAPTER 1 ................................................................................................... 9 Introduction .............................................................................................. 9 CHAPTER 2 ................................................................................................. 12 Literature review .................................................................................... 12 2.1 Mathematical problem solving ........................................................... 12 2.2 Mathematics textbooks ....................................................................... 15 2.3 Calculus .............................................................................................. 17 2.4 Summary of literature review ............................................................. 18 CHAPTER 3 ................................................................................................. 19 Methodology ........................................................................................... 19 3.1 Data source: the textbooks ................................................................. 19 3.2 Analytical approach ............................................................................ 20 3.2.1 Overview of the analytical approach in the papers ..................... 21 3.2.2 Rationale for the analytical questions ......................................... 23 3.3 Remarks .............................................................................................. 24 3.3.1 Limitations of the studies............................................................ 24 3.3.2 Ethical considerations and trustworthiness ................................. 25 CHAPTER 4 ................................................................................................. 29 Summary of papers ................................................................................ 29 4.1 Paper I ................................................................................................ 29 4.2 Paper II ............................................................................................... 30 CHAPTER 5 ................................................................................................. 32 Conclusion and discussion ..................................................................... 32 5.1 Conclusions ........................................................................................ 32 5.2 Contributions ...................................................................................... 34 5.3 Further research .................................................................................. 35 Summary in Swedish .................................................................................... 37 Acknowledgements ....................................................................................... 38