# Vn11701

Vn117.1 Playing Both Sides 1/14/78 Relevance These data establish that when Miriam plays against herself she does not use the games merely for easy satisfaction of a certain win. Game 3 is especially striking in that it shows the unusual side opening Miriam rarely used before the table-turning sequence for the game of form X …

# Vn11401

Vn114.1 The Game Goes Ever On 12/28 & 29/77 Relevance In the first incident, Miriam invents the idea of opening advantage for “Tic Tac Toe two in a row.” I believe this is connected to her introduction to Hexapawn (a pawn capture gain played on a 3×3 board) as a reduced form of chess, and …

# Vn10601

Vn106.1 Tic Tac Toe and Nim 10/22/77 Relevance Miriam’s Tic Tac Toe play shows an opening game played only with Glenn before and some surprising rigidity. When we play a subtraction arithmetic form of Nim, Miriam adduces “going second” as the efficient cause of her winning game 2. This appears to be as a consequence …

# Vn10701

Vn107.1 Self-Understanding 10/22/77 My cousin’s wedding has been a day of reconciliations, of growing closer to family from whom I had been long and much estranged. After a late breakfast, we attended the wedding. I felt proud of Robby later when he told me the nicest part of the wedding was a piano-organ duet (‘Jesu, …

# Vn13301

Vn133.1 4/28/78-5/8 & 31/78 4/28 The calorie counting continues for me, and the adding for Miriam. The sum of Addendum 133 – 1 is interesting because of its error: the left justification of 3 and 4 digit addends in the same vertical grid. Despite this mal-arrangement, with its implication that the place-value basis of column …

# Vn13201

Vn132.1 BIG-SUMS Extension 4/21 & 22/78 4/21 “Oog. I’ve got to add all these big numbers.” So I called to Miriam’s attention a situation in which one could make use of the kinds of skills she had developed in adding multi-digit addends: I was summing the number of calories in my day’s diet. Miriam asked …

# Vn13101

Vn131.1 Miriam’s 7th Birthday 4/8 & 9/78 4/8/ Miriam began planning her birthday party several weeks ago. On the 3 x 5 cards of Addendum 131 – 1, she listed the friends to bo invited, the candy, and her selection of party games. The children were all from her class at school. The games are …

# Vn13001

Vn130.1 4/3 & 10, 11/78 4/3 Miriam noticed a sum in Home Session 7 as I worked on a paper and asked if she could do it. When I wrote the sum on the black board, Miriam added right to left with carries, thus: 1 3 7 4 1 + 2 5 3 0 _____________________ …

# Vn12901

Vn129.1 Robby Computes a Tax 4/5/78 Robby caught on fire again today. He approached me inquiring, “How much is half of 423?” Miriam responded to his question from the other room, “2 hundred and 11 and a half.” I told her to stop butting in and asked Robby how much was half of 400, then …

# Vn12701

Vn127.1 Moo Shu 3/19/78 There is an old joke of this simple script: Adult Do you know how to read Chinese? Child I don’t know. I’ve never tried. At lunch today I described to Miriam my lunch of yesterday at a Chinese restaurant — showing her then the take-out menu. As we looked at the …

# Vn12601

Vn126.1 Turtle on the Bed 3/14/78 This Saturday morning I sat in the reading alcove working away, and Miriam came to join me. Robby was downstairs and Gretchen out of the house. Miriam offered to sit in my lap, but I protested to being busy and turned her down. Miriam moped a little, then crawled …

# Vn12401

Vn124.1 Analogical Guidance 2/23/78 This evening at dinner, my family enjoyed a good time at the expense of Scurry, our Scotch terrier. Earlier in the day, Miriam had played tug with Scurry, the object of their contention a squeaking toy mouse she had given the dog. Scurry wrested the toy from Miriam and sat chew- …

# Vn12201

Vn122.1 Carrying Bugs 2/5/78 Invited to play at a friend’s house, Miriam waited for Gretchen to drive her there. During this vacuum of activity, I asked her if she remembered how to add with carries (cf. Home Session 23). Miriam reacted impatiently, as though it were foregone that she did. She agreed to solve a …

# Vn12101

Vn121.1 Double Perspectives 2/8/78 While school has been canceled this week due to the Blizzard of ’78, the children have spent a lot of time outside, playing on the snow mountains the plows and people have piled up. Inside much of the time, they have followed their own inclinations, playing the card game War, reading …

# Vn11901

Vn119.1 Multiplying by Twenty 1/25/78 The children love to get mail and when an envelope comes addressed to them, to open it. Each has a bank account concerning which they receive annual earnings statements. The children opened their mail and puzzled over the contents — a statement of account number, social security number, and interest …

# Vn11601

Vn116.1 Transferring a Good Trick 1/3/78 Miriam, not imagining yet that she will one way or another make a living, sees her best hope of getting a lot of money as inheriting my money. Thus my impending demise is a subject on her mind and one that involves her in computations. At lunch today: Miriam …

# Vn11301

Vn113.1 Steady State 12/8/77 A few nights ago, Miriam approached me: “Dad, why do we have to spend 6 hours in school every day?” “Why do you ask?” I countered. Miriam continued, “It sure is a long time.” When I first asked what was the problem, the answer came back that the work was too …

# Vn11101

Vn111.1 Swears 11/30/77 A few days ago I sat at a terminal with Miriam at the Children’s Learning Lab. In response to the “login” request, Miriam typed “FUCK” then turned to me and said, “Look, Daddy, I typed a swear.” I responded non-committally, “Oh yeah. Why don’t you hit new line and see if it …

# Vn10901

Vn109.1 Tic Tac Toe 10/4/77 These 5 games are revealing of Miriam’s knowledge and ignorance both. Game 2 reveals more of my failings than I am happy to admit, but its contrast with game 3 permits a central revelation of her thinking about tic-tac-toe. These two together show by how much good fortune (when it …