Helen Learns Algebra and Geometry

Chapter 11

I faced unforeseen difficulties in my second year at the Gilman School. Mr Gilman, the head of school, opined that I should study mathematics that year. On the other hand, I had physics, algebra, geometry, astronomy, Greek and Latin. Adding to my woes I lacked the necessary material for mathematics. There were students in large numbers in the classes. So individual attention was not possible for me. Then with an angelic hand my teacher Anne Sullivan came to my rescue and read all the books to me and interpreted for the instructors.
It was necessary for me to write algebra and geometry in class and solve problems in physics, and this I could not do until we bought a braille writer, by means of which I could put down the steps and processes of my work. I could not follow with my eyes the geometrical figures drawn on the blackboard, and my only means of getting a clear idea of them was to make them on a cushion with straight and curved wires, which had bent and pointed ends. I had to carry in my mind, as Mr. Keith says in his report, the lettering of the figures, the hypothesis and conclusion, the construction and the process of the proof. In a word, every study had its obstacles. Sometimes I lost all courage and betrayed my feelings in a way I am ashamed to remember, especially as the signs of my trouble were afterward used against Miss Sullivan, the only person of all the kind friends I had there, who could make the crooked straight and the rough places smooth.
On the seventeenth of November I was not very well, and did not go to school. Although Miss Sullivan knew that my indisposition was not serious, yet Mr. Gilman, on hearing of it, declared that I was breaking down and made changes in my studies which would have rendered it impossible for me to take my final examinations with my class. In the end the difference of opinion between Mr. Gilman and Miss Sullivan resulted in my mother’s withdrawing my sister Mildred and me from the Cambridge school.
After some delay it was arranged that I should continue my studies under a tutor, Mr. Merton S. Keith, of Cambridge. Miss Sullivan and I spent the rest of the winter with our friends, the Chamberlins in Wrentham, twenty-five miles from Boston.
From February to July, 1898, Mr. Keith came out to Wrentham twice a week, and taught me algebra, geometry, Greek and Latin. Miss Sullivan interpreted his instruction.
In October, 1898, we returned to Boston. For eight months Mr. Keith gave me lessons five times a week, in periods of about an hour. He explained each time what I did not understand in the previous lesson, assigned new work, and took home with him the Greek exercises which I had written during the week on my typewriter, corrected them fully, and returned them to me.
In this way my preparation for college went on without interruption. I found it much easier and pleasanter to be taught by myself than to receive instruction in class. There was no hurry, no confusion. My tutor had plenty of time to explain what I did not understand, so I got on faster and did better work than I ever did in school. I still found more difficulty in mastering problems in mathematics than I did in any other of my studies. I wish algebra and geometry had been half as easy as the languages and literature. But even mathematics Mr. Keith made interesting; he succeeded in whittling problems small enough to get through my brain. He kept my mind alert and eager, and trained it to reason clearly, and to seek conclusions calmly and logically, instead of jumping wildly into space and arriving nowhere. He was always gentle and forbearing, no matter how dull I might be, and believe me, my stupidity would often have exhausted the patience of Job.

The braille worked well enough in the languages, but when it came to geometry and algebra, difficulties arose. I was sorely perplexed, and felt discouraged wasting much precious time, especially in algebra. It is true that I was familiar with all literary braille in common use in this country—English, American, and New York Point; but the various signs and symbols in geometry and algebra in the three systems are very different, and I had used only the English braille in my algebra.
In geometry my chief difficulty was that I had always been accustomed to read the propositions in line print, or to have them spelled into my hand; and somehow, although the propositions were right before me, I found the braille confusing, and could not fix clearly in my mind what I was reading. But when I took up algebra I had a harder time still. The signs, which I had so lately learned, and which I thought I knew, perplexed me. Besides, I could not see what I wrote on my typewriter. I had always done my work in braille or in my head. Mr. Keith had relied too much on my ability to solve problems mentally, and had not trained me to write examination papers. Consequently my work was painfully slow, and I had to read the examples over and over before I could form any idea of what I was required to do. Indeed, I am not sure now that I read all the signs correctly. I found it very hard to keep my wits about me.

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