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CONTENTS
| CHAP. | PAGE | |
| 1. | FROM ARITHMETIC TO ALGEBRA | 9 |
| 2. | THE MAKING OF ALGEBRAS | 15 |
| 3. | SIMULTANEOUS PROBLEMS | 19 |
| 4. | PARTIAL SOLUTIONS AND THE PROVISIONAL ELIMINATION OF ELEMENTS OF COMPLEXITY | 23 |
| 5. | MATHEMATICAL CERTAINTY AND REDUCTIO AD ABSURDUM | 26 |
| 6. | THE FIRST HEBREW ALGEBRA | 29 |
| 7. | HOW TO CHOOSE OUR HYPOTHESES | 37 |
| 8. | THE LIMITS OF THE TEACHER'S FUNCTION | 46 |
| 9. | THE USE OF SEWING CARDS | 51 |
| 10. | THE STORY OF A WORKING HYPOTHESIS | 55 |
| 11. | MACBETH'S MISTAKE | 61 |
| 12. | JACOB'S LADDER | 67 |
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