Contents

Preface

1 What is involved in problem solving

What exactly is a problem?

Where do problems come from?

“Natural” and “unnatural” problems

What’s involved in solving problems?

Approaches to the study of problem solving

Categorising problems

Summary

References

2 Problem representation

Representations and processes

Analysing well-defined problems

The interaction of the problem solver and the task environment

Heuristic search strategies

Summary

References

3 Transfer

Negative transfer – mental set

Mechanisms of knowledge transfer

Transfer in well-defined problems

Studies of analogical problem solving

Cognitive processes in analogical problem solving

Types of similarity

When relational structures are ignored

Summary

References

4 Worked examples and instructional design

Difficulties facing textbook writers

The role of examples in textbooks

The processes involved in textbook problem solving

Understanding problems revisited

Approaches to the design of instruction

Conclusion

Summary

References

5 Developing skill

Induction

Schema development and the effects of automatisation

Cognitive architectures

Potential criticisms of cognitive models

Summary

References

6 Developing expertise

Stage models of expertise

The intermediate effect

What distinguishes experts and novices

Are experts smarter? Are there differences in abilities?

Is expertise due to talent or deliberate practice?

Does expertise cross domains?

Cognitive processes in expertise

Flexibility in thinking

Some potential side effects of expertise …

Summary

References

7 Insight

Insight problems

Gestalt accounts of problem solving

Information processing approaches to insight

Classifying insight problems

Insight as something special

Insight as “business as usual”

Representational change theory (redistribution theory)

Summary

References

8 Creative problem solving

Breaking free of self-imposed constraints

Creative individuals

Theories of creativity: generation, evaluation and selection

CoRT

Synectics

Creative Problem Solving (CPS) – Osborn–Parnes

Summary

References

9 The neuroscience of problem solving

Methods used in studying brain functions

Arithmetic in the brain

Stages in problem solving

Neurological processes in analogical reasoning

Neurocomputational models

Designing instruction – what can studies of the brain tell us?

Neurological aspects of insight and creativity

Summary

References

10 Conclusion

Problems, problems

References

Index

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