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Does Mathematical Study Develop Logical Thinking?: Testing the Theory of Formal Discipline - Hardcover

 
9781786340689: Does Mathematical Study Develop Logical Thinking?: Testing the Theory of Formal Discipline

Synopsis

For centuries, educational policymakers have believed that studying mathematics is important, in part because it develops general thinking skills that are useful throughout life. This 'Theory of Formal Discipline' (TFD) has been used as a justification for mathematics education globally. Despite this, few empirical studies have directly investigated the issue, and those which have showed mixed results.

Does Mathematical Study Develop Logical Thinking? describes a rigorous investigation of the TFD. It reviews the theory's history and prior research on the topic, followed by reports on a series of recent empirical studies. It argues that, contrary to the position held by sceptics, advanced mathematical study does develop certain general thinking skills, however these are much more restricted than those typically claimed by TFD proponents.

Perfect for students, researchers and policymakers in education, further education and mathematics, this book provides much needed insight into the theory and practice of the foundations of modern educational policy.

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Review

This book is interesting and well-written. The research methods were explained clearly and conclusions were summarized nicely. It is a relatively quick read at only 130 pages. Anyone who has been told, or who has told others, that mathematicians make better thinkers should read this book. --MAA Reviews

The authors particularly attend to protecting positive correlations against the self-selection interpretation, merely that logical minds elect studying more mathematics. Here, one finds a stimulating survey of the systemic difficulties people have with basic syllogisms and deductions. --CHOICE Connect

After much detailed explanations and further examples the authors conclude clearly and with good explanations and examples. The appendices which follow lay out some of the tasks used and offer challenges to the reader as well. This is a fascinating book, and for those thinking deeply about the place of mathematics in our school curriculum, or those wondering about different aspects of our mathematical study, this would make an essential read. --Mathematical Gazette

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