Ideas for mathematics

The Human Nature Club

The Human Nature Club on of the home-study textbooks titled Chautauqua Literary and Scientific Circle.   This textbook says The Human Nature Club is 'an introduction to the study of mental life.'  Published by the Chautauqua Press in 1900, the text attempts to explain that the brain does and how it works.  The following activity was taken from the 1900 edition of the The Human Nature Club.

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Suppose, for example, you each day do ten examples in addition of this length.

94935
88789
67598
45678
98746
94937
89789
68598
56786
88986

After a while you will be able to add and talk at the same time.  You will also increase in speed, and find it after a while no effort.  In carrying on such and experiment, you should make out on cards about fifty examples.  When you add, lay the card on a piece of paper, and put your result beneath it, thus:

94935
88789
67598
45678
98746
94937
89789
68598
56786
88986

794842

You can then use that same card again and again on later days, and save the work of making out new examples.  You will need fifty or more cards, however, so as not to have the same example reappear often enough to be remembered.

On each day, or every second or third, record (1) the time it takes you to do four examples; (2) the number of mistakes made in these four, if any; (3) your ability to work while some one is talking to you, and (4) your ability to work and talk at the same time.  Two examples may be done under each of these conditions.  See how far these records show the formation of the habit.

Date

Time taken to do four problems. Mistakes in four problems. Time for two when disturbed. Time for two while repeating poetry or singing.
         
         
         
         

You can write the correct answer on the back of each card, or you can number the cards and make out a key with the right answer for each number.  There will be hardly any labor in comparing the answer you obtain with that on the card or in the key and noticing how many figures, if any, are wrong.

Going to Sunday dinner at the Grandview Hotel was a very elegant affair.  A typical menu would include:

Sunday Dinner Menu:  50 Cents

Clam Chowder
Olives               Chow Chow
Baked Pickerel au Gratin
Young Onions              Sliced Tomatoes
Boiled Ox Tongue with Horse Radish
Prime Roast of Beef au Natural
Baked Chicken with Celery Sauce
Broiled Roll of Veal with French Peas
Banana Fritters Sauce Sabayon               Macaroni Italian
Mashed Potatoes               Stewed Carrots
Peas in Cream
Apple Pie               Coconut Pie
Pineapple Pudding               New York Ice Cream
Assorted Cake               Fruit
Tea          Coffee          Iced Tea          Lemonade

Obtain a menu from a local restaurant or look at one on the web.  How many of the items from the Grandview menu are available on the current menu?  Choose a salad or appetizer, a main dish, dessert and beverage from the Grandview's menu.  How much would that same dinner cost today?  Bonus:  What is the percent of increase?

The Grand View Menu

Using the menu from the Grand View Hotel, choose what you would like to have for breakfast, dinner and supper. (are those the same words we use today?)  What would it cost for each meal?  Using the Bob Evans menu, what would the same meals cost today?  

Go to Bob Evans online menu.  Give each student $10.00 virtual dollars to spend.  See who can come the closest to spending their $10.00 without going over.

Lemonade 

 

Lemonade was invented in Paris, France in 1630 but remained an exotic drink for most Americans until irrigation turned barren lands in Florida and California into citrus ranches and rail cars began to distribute produce across the country.  Because lemons kept well, lemonade became a popular summer treat.  Lemonade was a favorite drink at the Grandview Hotel.  

For six serving, you will need:

5 or 6 lemons
1 1/2 cups of granulated sugar
3 quarts of water
ice

a large bowl, kitchen towel, wooden spoon or potato masher, 3-quart pitcher, glasses

Put the lemons in the bowl and cover with boiling water to remove the protective waxy coating.  Let the lemons stand for 2 minutes.  Remove the lemons from the water, discard the water and dry the lemons wit the towel, rubbing each one to release the juices.

Thinly slice the lemons and put them lemons back into the bowl, layering with the sugar as you go.  Let the lemons age for 25 to 30 minutes.  Press the lemons with the back of the spoon or the potato masher.  Transfer the lemons, sugar and juice to the pitcher.  Add 3 quarts of cold water.  Pour into tall ice-filled glasses and enjoy.

If you were to make enough lemonade for you whole class, would you need to double, triple, quadruple the recipe or what?  Multiply the ingredients for the lemonade to make enough for you class.

Answers

Train Schedules 

When you want to take a bus, train or airplane, one of the first things you need to do is look at a timetable or schedule.  What information should a timetable give?

Daily trains ran from Madison to the Chautauqua grounds.  Study the train schedule.  Circle the correct answer to each question.  For the train schedule - PDF, click HERE.  or Train Schedule - excel

  1. During which month(s) did the train operate?

    1. May 1 to June 30

    2. June 27 to June 30

    3. June 27 to July 15

    4. June 30 to July 30

  2. What does the '*' symbol indicate?

    1. daily

    2. Monday through Friday

    3. Monday through Saturday

    4. Saturday and Sunday only

  3. On June 28, how many trains left Madison in the morning?

    1. 1

    2. 2

    3. 4

    4. 8

  4. On the schedule dated June 30 to July 15 how many train traveled daily to and from Lake Madison Chautauqua?

    1. 3

    2. 5

    3. 6

    4. 10

  5. How long did it take the train to travel from Madison to the Lake Madison Chautauqua grounds on July 4?

    1. 3 minutes

    2. 5 minutes

    3. 10 minutes

    4. 20 minutes

  6. What time did the last train leave Madison for the Chautauqua ground on June 29?

    1. 4:45 pm

    2. 4:50 pm

    3. 5:30 pm

    4. 6:05 pm

  7. How late could you stay at the Chautauqua ground on any Monday through Saturday in July and still catch a train for Madison that evening?

    1. 6:00 pm

    2. 7:30 pm

    3. 7:35 pm

    4. 11:00 pm

  8. If you had to work in Madison until noon on June 30, what is the earliest you could get to the Chautauqua ground to meet friends?

    1. 2:15 pm

    2. 2:20 pm

    3. 2:35 pm

    4. 2:40 pm

  9. How many minutes does it take to get from Madison to the Chautauqua grounds?

    1. 3

    2. 4

    3. 5

    4. 10

  10. If it was 15 miles from Madison to the Chautauqua grounds, how fast was the train traveling?

    1. 3 mph

    2. 6 mph

    3. 9 mph

    4. 12 mph

Bonus:  Today, the speed limit on U.S. Highway 34 is 65 miles per hour.  How long would it take to make the same trip?

Answers

Although not as popular as it was in 1900, train travel is still available in the United States.  Go to the Amtrak web site.  Write 5 story problems for you classmates.

Expenses

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Using the expenses listed in the 1891 Lake Madison Chautauqua Assembly Program, answer the following questions.

  1. How much would tickets for two weeks for Admission to the Assembly cost for a family of 5 (father, mother, one teenager, one 9 year old and one 2 year old)?

  2. How much would it cost for the same family to attend only one day?

  3. How much would it cost for that same family to stay at the Grandview Hotel for two weeks (in the best room) including board and room?

  4. How much would it cost for the family to stay in the largest tent for two weeks?

  5. They will all need bed springs.  How much will that cost?

  6. They plan on eating one meal per day at the Grandview Hotel.  Assuming the price is the same for everyone in the family except the toddler who eats free, how much will that cost?

  7. How much will the family save by staying in a tent, fixing their own meals with food brought from home and eating one meal per day at the Grandview Hotel instead of staying at the Grandview Hotel and taking all of their meals there?

Answers