Cambridge International AS & A Level Thinking Skills

Cambridge International AS & A Level Thinking Skills

by Angus Grogono

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Overview

We are working with Cambridge Assessment International Education to gain endorsement for this forthcoming series.

Improve problem-solving and critical thinking skills for studies and life beyond the classroom; ensure full coverage of the Cambridge International AS & A Level Thinking Skills syllabus (9694) with a comprehensive guide written by experienced examiners specifically for this course.

- Focus on effective and creative problem-solving with a clear model showing how to access the problem, choose the appropriate strategy, implement the strategy and give the answer.
- Prepare for further study and life beyond the classroom with advice and guidance from experienced authors.
- Consolidate learning with a range of problems, exercises and examination-style questions.

Available in this series:
Student Textbook (ISBN 9781510421899)
Student eTextbook (ISBN 9781510422230)
Whiteboard eTextbook (ISBN 9781510422247)
Teaching & Learning Resources (ISBN 9781510424203)

Product Details

ISBN-13: 9781510421899
Publisher: Hodder Education Group
Publication date: 03/30/2018
Pages: 296
Sales rank: 1,174,722
Product dimensions: 7.40(w) x 9.60(h) x 0.60(d)
Age Range: 16 - 17 Years

Table of Contents

Introduction v

How to use this book vi

Introduction to Problem Solving

1 Interpreting the problem 1

1.1 Owning the problem 2

1.2 Modelling the problem 15

1.3 Presentation of information 42

2 Tackling the problem (I) 79

2.1 '2358' 80

2.2 Diagramming 89

2.3 Systematic Listing 101

2.4 Trial and error 106

3 Tackling the problem (II) 112

3.1 Function machines and algebra 112

3.2 Sequence generation 123

3.3 Particular solutions 127

3.4 Venn diagrams 132

4 Answering the problem 137

4.1 Misinterpreting the question 139

4.2 Choosing and evaluating strategies 146

4.3 Unforced errors 151

4.4 Ways to check your answer 160

5 Processing skills and problem solving 174

5.1 Proportional reasoning 175

5.2 Compound units 177

5.3 Finding averages 178

5.4 Finding lengths, areas and volumes 180

5.5 Rounding 183

5.6 Parsing relationships algebraically 184

5.7 Finding the nth term of a sequence 186

5.8 Bases and binary 188

Introduction to Critical Thinking

6 Evaluating evidence 190

6.1 Credibility: reliability 190

6.2 Credibility: plausibility 196

6.3 Credibility: corroboration and consistency 198

6.4 Representativeness 198

6.5 Presentation of data 203

6.6 Applying the skills of evaluating evidence 206

7 Using evidence 207

7.1 Explanations 207

7.2 Inferences 212

7.3 Applying the skills of evaluating and using evidence 224

8 Analysing reasoning 230

8.1 Arguments 230

8.2 Conclusions 232

8.3 Additional argument elements 238

8.4 Detailed analysis 242

8.5 Unstated assumptions 244

8.6 Applying the skills of analysing reasoning 247

9 Evaluating reasoning 257

9.1 Logical fallacies 257

9.2 Flaws in reasoning 261

9.3 The use of appeals 274

9.4 Weaknesses in reasoning 277

9.5 Applying the skills of evaluating reasoning 281

10 Creating arguments 288

10.1 Supporting a conclusion 288

10.2 Strands of reasoning 289

10.3 Using additional argument elements 291

10.4 Considering counterpositions 292

10.5 Applying the skills of creating arguments 292

Answers to selected questions 305

Glossary 306

Index 308

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