Conclusion
In this small book I have tried to meet the needs of the elementary school-teacher who wishes to examine and test for himself or herself the so-called Gattegno approach to the teaching of arithmetic. My previous books for teachers did not altogether meet that need, for they were found by many to be too difficult. Now that a bridge has been thrown across the gap by this Introduction, I very much hope it will lead to an understanding of the others. In these, I have entered into a kind of dialogue with the teaching profession. In my new Manual for Primary School Teachers, Modern Mathematics, I have offered a methodical and detailed study of the mathematics which can be found with the material, and teachers who might have found the former work difficult without having reached it by way of this bridge will be able to explore the new territory, not with the immediate aim of teaching, but for deepening their own understanding and
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