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# Introduction to Mathematical Thinking

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In the twenty-first century, everyone can benefit from being able to think mathematically. This is not the same as “doing math.” The latter usually involves the application of formulas, procedures, and symbolic manipulations; mathematical thinking is a powerful way of thinking about things in the world -- logically, analytically, quantitatively, and with precision. It is n
...more

Kindle Edition, 104 pages

Published
July 18th 2012
by Keith J. Devlin
(first published 2012)

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## Community Reviews

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Dec 25, 2015
Philipp
rated it
liked it
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review of another edition

Shelves:
mathematics,
non-fiction

This would work very well if you're about to start a university degree that supposed you did some "higher" mathematics in high school and you need an introduction, or a refresher - you'll learn what all of those Greek symbols do (university-level notation), you'll learn about the kind of precise language you need, how to structure proofs, types of proofs, etc.

The language is the best part. It's never particularly dry or boring, Devlin knows how to structure what he wants to convey. However, mos ...more

The language is the best part. It's never particularly dry or boring, Devlin knows how to structure what he wants to convey. However, mos ...more

Mar 27, 2018
Warren Mcpherson
rated it
liked it
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review of another edition

Shelves:
closer-to-the-machine

This book has a couple of very good insights and is fairly short.

I think it is useful for getting reacquainted with reading mathematical material.

I think it is useful for getting reacquainted with reading mathematical material.

1/2 sau tâp trung vao phân tich ngôn ngư hơi chan vi minh đa tưng theo 1 lơp khac chuyên sâu va thu vi hơn la Language, Proof and Logic

The dramatic growth in mathematics led in the 1980s to the emergence of a new definition of mathematics as the science of patterns. According to this descr ...more

*»You won't learn much new math from this book. But by acquiring the ability to think like a mathematician, you will be able to master new math quickly«*

Stanford-Mathematiker & Wissenschaftspopularisierer Devlin erklärt in diesem

*Heft*das neuere, begriffliche (also das Wesen der Sache ergründende/auf sich selbst reflektierende) Denken moderner Hochschulmathematik, das der rechnenden, prozedurenfolgenden Sekundarschule abginge (wie Mathematikern Jahrhunderte zuvor ...more

Oct 30, 2016
Marina
rated it
liked it
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review of another edition

Recommends it for:
This book is practical for anyone seeking to improve their analytical thinking

#logicalthinking

#reasoning

#mathematical thinking

#analytical skills

#math exercises

#21st century skills

#reasoning

#mathematical thinking

#analytical skills

#math exercises

#21st century skills

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Dr. Keith Devlin is a co-founder and Executive Director of the university's H-STAR institute, a Consulting Professor in the Department of Mathematics, a co-founder of the Stanford Media X research network, and a Senior Researcher at CSLI. He is a World Economic Forum Fellow and a Fellow of the American Association for the Advancement of Science. His current research is focused on the use of differ
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“Give a man a fish, he’ll eat for a day. Teach a man to fish, he’ll eat for a lifetime.”? It’s the same for mathematics education for twenty-first century life.”
—
5 likes

“For all the time schools devote to the teaching of mathematics, very little (if any) is spent trying to

convey just what the subject is about. Instead, the focus is on learning and applying various procedures

to solve math problems. That's a bit like explaining soccer by saying it is executing a series of maneuvers

to get the ball into the goal. Both accurately describe various key features, but they miss the \what?"

and the \why?" of the big picture.”
—
4 likes

More quotes…
convey just what the subject is about. Instead, the focus is on learning and applying various procedures

to solve math problems. That's a bit like explaining soccer by saying it is executing a series of maneuvers

to get the ball into the goal. Both accurately describe various key features, but they miss the \what?"

and the \why?" of the big picture.”