Thinking Skills: Critical Thinking and Problem Solving

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  • 1.1 Thinking as a skill Unit 1 Thinking and reasoning

  • 1.2 An introduction to critical thinking

  • 1.3 Solutions not problems

  • 2.1 Claims, assertions, statements Unit 2 Critical thinking: the basics

  • 2.2 Judging claims

  • 2.3 Argument

  • 2.4 Identifying arguments

  • 2.5 Analysing arguments

  • 2.6 Complex arguments

  • 2.7 Conclusions

  • 2.8 Reasons

  • 2.9 Assumptions

  • 2.10 Flaws and fallacies

  • 3.1 What do we mean by a ‘problem’? Unit 3 Problem solving: basic skills

  • 3.2 How do we solve problems?

  • 3.3 Selecting and using information

  • 3.4 Processing data

  • 3.5 Finding methods of solution

  • 3.6 Solving problems by searching

  • 3.7 Recognising patterns

  • 3.8 Hypotheses, reasons, explanations and inference

  • 3.9 Spatial reasoning

  • 3.10 Necessity and sufficiency

  • 3.11 Choosing and using models

  • 3.12 Making choices and decisions

  • 4.1 Inference Unit 4 Applied critical thinking

  • 4.2 Explanation

  • 4.3 Evidence

  • 4.4 Credibility

  • 4.5 Two case studies

  • 4.6 Critical thinking and science

  • 4.7 Introducing longer arguments iv Contents

  • 4.8 Applying analysis skills

  • 4.9 Critical evaluation

  • 4.10 Responding with further argument

  • 4.11 A self-assessment

  • 5.1 Combining skills – using imagination Unit 5 Advanced problem solving

  • 5.2 Developing models

  • 5.3 Carrying out investigations

  • 5.4 Data analysis and inference

  • 6.1 Using other mathematical methods Unit 6 Problem solving: further techniques

  • 6.2 Graphical methods of solution

  • 6.3 Probability, tree diagrams and decision trees

  • 6.4 Have you solved it?

  • 7.1 Conditions and conditionals Unit 7 Critical reasoning: Advanced Level

  • 7.2 Soundness and validity: a taste of logic

  • 7.3 Non-deductive reasoning

  • 7.4 Reasoning with statistics

  • 7.5 Decision making

  • 7.6 Principles

  • 7.7 An argument under the microscope

  • 7.8 Critical writing

  • Answers to assignments

  • Appendix

  • Acknowledgements

  • Index

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