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Morris Kline Quotes: Psychologically, the teaching of abstractions first is wrong. Indeed, a thorough understanding of the concrete must precede the abstract.
         

Psychologically, the teaching of abstractions first is wrong. Indeed, a thorough understanding of the concrete must precede the abstract.


Morris Kline
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Other quotes of Morris Kline


The writing in mathematics text is not only laconic to a fault; it is cold, monotonous, dry, dull, and even ungrammatical... The books are not only printed by machines; they are written by machines.

The writing in mathematics text is not only laconic to a fault; it is cold, monotonous, dry, dull, and even ungrammatical... The books are not only printed by machines; they are written by machines.



Statistics: the mathematical theory of ignorance.

Statistics: the mathematical theory of ignorance.



Universities hire professors the way some men choose wives - they want the ones the others will admire.

Universities hire professors the way some men choose wives - they want the ones the others will admire.



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

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



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.

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.



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

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



There is no rigorous definition of rigor.

There is no rigorous definition of rigor.



A proof tells us where to concentrate our doubts.

A proof tells us where to concentrate our doubts.



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.

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.



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

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





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When you know your life mission and life goal, you will be better able to avoid the life traps

When you know your life mission and life goal, you will be better able to avoid the life traps



When you want the light, it's always there for you to find - Search inside for all the good.

When you want the light, it's always there for you to find - Search inside for all the good.



Nothing can calm our souls more or better prepare us for life’s challenges than time spent alone with God.

Nothing can calm our souls more or better prepare us for life’s challenges than time spent alone with God.



What was invented with civilization was the ability of some to deny sensuality to others.

What was invented with civilization was the ability of some to deny sensuality to others.



No fate holds more splendour for an artist, than the one which greets his effort with such enthousiasm!

No fate holds more splendour for an artist, than the one which greets his effort with such enthousiasm!



I love to just work with new people in general. It's always really fun.

I love to just work with new people in general. It's always really fun.



Each soul must accomplish its task, or it would not have been sent here.

Each soul must accomplish its task, or it would not have been sent here.



A good musician should say: We can live without air but not without music!

A good musician should say: We can live without air but not without music!



Write it on your heart that every day is the best day in the year. No man has learned anything rightly, until he knows that every day is Doomsday.

Write it on your heart that every day is the best day in the year. No man has learned anything rightly, until he knows that every day is Doomsday.



A pillow for thee will I bring,Stuffed with down of angel's wing.

A pillow for thee will I bring,Stuffed with down of angel's wing.




Quote Description


This page presents the quote "Psychologically, the teaching of abstractions first is wrong. Indeed, a thorough understanding of the concrete must precede the abstract.". Author of this quote is Morris Kline. This quote is about firsts, teaching, concrete, thorough understanding, abstract,.