Quotes by Morris Kline

Morris Kline

[The error in the teaching of mathematics is that] mathematics is expected either to be immediately attractive to students on its own merits or to be accepted by students solely on the basis of the teacher’s assurance that it will be helpful in later life. [And yet,] mathematlcs is the key to understanding and mastering our physical, social and biological worlds.

Life

Teacher

Teaching

A elegantly executed proof is a poem in all but the form in which it is written.

Art

Beauty

Proof

A proof tells us where to concentrate our doubts.

Doubt

Math

Proof

Actually, most mathematics courses do not teach reasoning of any kind. Students are so baffled by the material that they are obliged to memorize in order to pass examinations.

Baffled

Examination

Order

Every paper published in a respectable journal should have a preface by the author stating why he is publishing the article, and what value he sees in it. I have no hope that this practice will ever be adopted.

Paper

Practice

Should Have

In brief, the whole world is the totality of mathematically expressible motions of objects in space and time, and the entire universe is a great, harmonious, and mathematically designed machine.

Machines

Space

World

Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition.

Education

Knowledge

Math

Mathematics is a body of knowledge, but it contains no truths.

Body

Knowledge

Math

On all levels primary, and secondary and undergraduate – mathematics is taught as an isolated subject with few, if any, ties to the real world. To students, mathematics appears to deal almost entirely with things whlch are of no concern at all to man.

Education

Real

Science

Perhaps the best reason for regarding mathematics as an art is not so much that it affords an outlet for creative activity as that it provides spiritual values. It puts man in touch with the highest aspirations and lofiest goals. It offers intellectual delight and the exultation of resolving the mysteries of the universe.

Art

Science

Spiritual

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Baffled

Beauty

Body

Book

Challenges

Definitions

Doubt

Education

Examination

Expression

Faults

Firsts

Groups

Hindsight

Ignorance

Innovation

Insight

Knowledge

Life

Machines

Math

Men

Order

Paper

Practice

Proof

Real

Reality

Rigor

Science

Should Have

Source

Space

Spiritual

Statistics

Teacher

Teaching

Thorough Understanding

Wife

World

Writing

The Future Blueprint

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Quotes by Morris Kline

Morris Kline

A elegantly executed proof is a poem in all but the form in which it is written.

A proof tells us where to concentrate our doubts.

Actually, most mathematics courses do not teach reasoning of any kind. Students are so baffled by the material that they are obliged to memorize in order to pass examinations.

Every paper published in a respectable journal should have a preface by the author stating why he is publishing the article, and what value he sees in it. I have no hope that this practice will ever be adopted.

In brief, the whole world is the totality of mathematically expressible motions of objects in space and time, and the entire universe is a great, harmonious, and mathematically designed machine.

Mathematicians create by acts of insights and intuition. Logic then sanctions the conquests of intuition.

Mathematics is a body of knowledge, but it contains no truths.

On all levels primary, and secondary and undergraduate – mathematics is taught as an isolated subject with few, if any, ties to the real world. To students, mathematics appears to deal almost entirely with things whlch are of no concern at all to man.

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The Future Blueprint

The Home Therapist: Anti Anxiety

The Autobiography

The Behaviour Diary

The Dating Diary

The Relationship Therapist

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