Daftar Isi:A. Introduction to Modelling 1. Mathematical Modelling of Real-Life Mobile Phone Tariffs 2. Decisions at the Outset 3. A First Modelling Exercise 4. Thoughts for Teachers on Our First Model 5. Preliminary Assessment After Your First Modelling Exercise 6. Improving Your First Model Details of Timing 7. More Improved Model Call and Data Charges 8. Mobile Phone Project Reflection and Summary 9. Concluding Remarks B Motivation Why Teach Applicable Mathematics 1. Long Term Positive Image of Mathematics 2. Understanding Mathematics Better by Knowing More Mathematics 3. The Mathematics Teacher s Perspective C. Adapting Textbook Problems to Create a More Reality-Based Mathematics Education 1. Challenges in Creating Mathematics Problems 2. On the Didactical Merits of Textbook Problems New Perspectives 3. Improving Reading Skills in Mathematics Education 4. Learning to Solve Problems Independently Using Altered Textbook Problems 5. More Examples for Different Topics and for Different Grades D. Tasks Derived from Everyday Occurrences 1. Ramp It Up 2. Which Road Should We Take 3. Beverages for the Parent-Teacher Evening/School Party 4. Furnishing a Room 5. Mice in the Granary 6. Robotic Control 7. Presenting Balance Sheets in a Positive/Negative Light 8. Deceptive Packaging Estimating Volume 9. Treasure Map 10. Painting the Classroom 11. Golden Ratio 12. The Sundial 13. Conclusion E. An Example of a More Extensive Project 1. Project Stages 2. Project Sports Betting from a Mathematical Perspective 3. How Do We Get Started (Project Start) 4. Our First Modelling Task 5. Additional Question Do Bookmakers Participate in Betting 6. Comment on Teaching Methods 7. The Bookmaker s Fear of Risk 8. Accounting for the Unexpected A Slight Variation to Our Model 9. Modelling Calculations Based on the Bookmaker s Reaction 10. Additional Modelling Assumptions and Simulations 11. Didactic Considerations on Using the Topic of Sports Betting in Mathematics Class 12. Trial Run F. How Do Experts Model Using This Knowledge and Understanding in the Mathematics Classroom 1. MRI (Magnetic Resonance Imaging) 2. Agriculture 3. Transport and Logistics 4. Distribution of Heat When Re-entering the Earth s Atmosphere 5. Identifying Topics Suitable for Student Presentations 6. History as a Source of Modelling Problems G. Further Tips for Teachers Who Want to Implement Applicable Mathematics Education 1. Suggestions for Preparing Applicable Mathematics Lessons 2. Finding New Problems 3. Preliminary Assessment of Your Students Progress H. Empirical Findings on Modelling in Mathematics Education 1. Empirical Research and Modelling 2. Another Example of Qualitative Research I. Teaching Real World Mathematics Some Background Theory 1. Some Thoughts on Modelling 2. Personal World View and Applicable Mathematics Education a. Seeing the World Through Maths Eyes b. Mathematics as Technology 3. Conclusion