It Is Well Known That Those Who

There Is No Thing As A Man Who Does Not Create Mathematics And Yet Is A Fine Mathematics Teacher. Textbooks, Course Material-these Do Not Approach In Importance The Communication Of What Mathematics Is Really About, Of Where It Is Going, And Of Where It Currently Stands With Respect To The Specific Branch Of It Being Taught. What Really Matters Is The Communication Of The Spirit Of Mathematics. It Is A Spirit That Is Active Rather Than Contemplative-a Spirit Of Disciplined Search For Adventures Of The Intellect. Only As Adventurer Can Really Tell Of Adventures.

Life Is Just The Same As Learning To Swim. Do Not Be Afraid Of Making Mistakes, For There Is No Other Way Of Learning How To Live!

The Human Mind Shows An Urge To Capture Into Fixed Forms Through Unreal Assumptions, That Is, Fictions, That Which Is Chaotic, Always In Flux, And Incomprehensible. Serving This Urge, The Child Quite Generally Uses A Scheme In Order To Act And To Find His Way. We Proceed Much The Same When We Divide The Earth By Meridians And Parallels, For Only Thus Do We Obtain Fixed Points Which We Can Bring Into A Relationship With One Another.

Nobody Adopts Antisocial Behaviour Unless They Fear That They Will Fail If They Remain On The Social Side Of Life.

Mathematics Is Pure Language - The Language Of Science. It Is Unique Among Languages In Its Ability To Provide Precise Expression For Every Thought Or Concept That Can Be Formulated In Its Terms.