How students (mis-) understand science and mathematics: intuitive rules

Part 1 How Children and Adults Use the Intuitive Rule A - More B: Equality Situations Inequality Situations Some Questions About the Use of This Rule. Part 2 Learning About the Intuitive Rule A - Same B: Directly-Given Equality Logically-Deduced Equality Some Questions About the Use of This Rule. Part 3 The Nature of the Intuitive Rule Everything Can Be Divided: Repeated Halving Decreasing Series Some Questions About the Use of This Rule. Part 4 Towards a Theory of Intuitive Rules: Theoretical Approaches to Students' Alternative Reasoning and Conceptions Some Questions About the Intuitive Rule Theory. Part 5 Using Knowledge About Intuitive Rules - Educational Implications: Overcoming the Effects of the Intuitive Rules - General and Specific Teaching Strategies Overcoming the Effects of the Intuitive Rules - How Mathematics and Science Educators Use Related Knowledge in Instruction.