Saturday, January 3, 2015

What role does nature play in Helen's learning?

Helen Keller was a year old when she lost her eyesight and hearing due to an illness.  Before this, she was a baby who enjoyed nature.  Her mother noticed that as a baby Helen was "attracted by the flickering shadows of leaves that danced in the sunlight on the smooth floor" (The Story of My Life, Chapter I).  After she became deaf and blind, Helen continued to be drawn to nature.  She enjoyed spending time in the garden on her family's property:

What joy it was to lose myself in that garden of flowers, to wander happily from spot to spot, until, coming suddenly upon a beautiful vine, I recognized it by its leaves and blossoms, and knew it was the vine which covered the tumble-down summer-house at the farther end of the garden!  Here, also, were trailing clematis, drooping jessamine, and some rare sweet flowers called butterfly lilies, because their fragile petals resemble butterflies' wings.  But the roses–they were loveliest of all.

Nature comforted Helen in a time when her life was filled with darkness.  She was frequently frustrated because she could not communicate effectively.  Miss Sullivan arrived, and she taught Helen to communicate using the manual alphabet.  This changed Helen's life.  Miss Sullivan also taught Helen about nature:

... I had my first lessons in the beneficence of nature.  I learned how the sun and the rain make to grow out of the ground every tree that is pleasant to the sight and good for food, how birds build their nests and live and thrive from land to land, how the squirrel, the deer, the lion and every other creature finds food and shelter.  As my knowledge of things grew I felt more and more the delight of the world I was in.  Long before I learned to do a sum in arithmetic or describe the shape of the earth, Miss Sullivan had taught me to find beauty in the fragrant woods, in every blade of grass, and in the curves and dimples of my baby sister's hand (Chapter V).

Before her lessons about nature with Miss Sullivan, Helen had merely appreciate nature.  Her teacher taught her how to understand it and also to appreciate it on a deeper level.  Helen loved learning about nature.  Throughout her life, Helen appreciated nature and learned about it wherever she went.
 


Helen, being both blind and deaf, had never seen a sunset or a rushing river. Her dark silent world was virtually empty. Humans are sensory oriented creatures, that is how we imprint in the world, communicate and navigate. When Anne Sullivan went to the water pump and ran water over Helen's hand, spelling the word W-A-T-E-R it was the first time that Helen was able to connect what Anne was trying to teach her. That moment opened her world, it gave a name to the sensory input and grounded her in the understanding that everything around her has a name, leaf, tree, grass, wind. One of the things not directly mentioned in Helen's story is the system of generalization that humans possess as intrinsic to their survival. When we see and name a tree humans generally will be able to see any kind of tree and without naming its particular species, we know it is a tree. As both a blind and deaf individual this generalization and therefore a large portion of her intrinsic survival system as a human was severely stunted. In coming to understand the natural world around her, which was of great interest from an early age, it brought her a sense of both comfort and understanding. A bedrock from which she could integrate herself into the human world. It is also clear that the role of nature, as a point of interest, became a central point in her education because she began to connect all of her lessons. It is usually easier to interest children in school work and in life when a teacher is able to find one or a few of that child's interests to work off of. In chapter V she mentions that soon after learning about plant cycles and seasons she was doing arithmetic to demonstrate the size and shape of the earth. From a separate perspective knowing the flowers, grass, trees, rocks and earth gave her world form and then confidence to move about it. It is also mentioned that she felt that the she was a 'happy peer' of those elements of the natural world, something that Anne worked hard to impart on her so that she would feel more comfortable in the world. 

If you were the main character, would you behave differently? Why?

Feel free to answer in the way that best describes your opinion.  There isn't a single best way to answer this question.  Just remember to support your opinion.  
I'm going to answer this question by saying that the banker is the main character.  
Yes, I would have behaved differently than the banker.  First, I would not have made the bet in the first place; however, I'll pretend that I was willing to bet money on the topic.  For sure I wouldn't have made the bet with that much money to risk.  Rich men don't become rich and stay rich by being cavalier with their money.  
Second, had I made the bet, I would have made a bet where I stood to gain something.  If the lawyer wins the bet, he gets a lot of money.  If the banker wins the bet, he gets nothing.  The banker can't even claim that he was right.  The topic of discussion that night was life in prison.  The bet only succeeded in placing the lawyer in confinement for a certain amount of time.  So even if the lawyer had quit after three years or thirty years, the banker is not proven correct that life in prison is horrible.  It was never tested.  
Third, I would not have considered killing the lawyer.  I have never been in that exact situation, so I can't claim for sure that I wouldn't have thought about murder in order to keep my money, but I like to think that my moral compass is stronger than that.  I don't like losing, but I will admit defeat as needed.  The banker wasn't willing to do that. 

Friday, January 2, 2015

Intermediate Algebra, Chapter 2, 2.1, Section 2.1, Problem 36

Solve the equation $4[2x - (3-x) + 5] = -(2 + 7x)$, and check your solution. If applicable, tell whether the equation is an identity or contradiction.


$
\begin{equation}
\begin{aligned}

4[2x - (3-x) + 5] =& -(2 + 7x)
&& \text{Given equation}
\\
4[2x - 3 + x + 5] =& -2-7x
&& \text{Distributive property}
\\
4 [3x+2] =& -2-7x
&& \text{Combine like terms}
\\
12x + 8 =& -2 - 7x
&& \text{Distributive property}
\\
12x + 7x =& -2-8
&& \text{Add $(7x-8)$ from each side}
\\
19x =& -10
&& \text{Combine like terms}
\\
\frac{19x}{19} =& \frac{-10}{19}
&& \text{Divide both sides by $19$}
\\
x =& \frac{-10}{19}
&&

\end{aligned}
\end{equation}
$


Checking:


$
\begin{equation}
\begin{aligned}

4 \left[ 2 \left( \frac{-10}{19} \right) - \left( 3 - \left( \frac{-10}{19} \right) \right) + 5 \right] =& - \left( 2 + 7 \left( \frac{-10}{19} \right) \right)
&& \text{Substitute } x = \frac{-10}{19}
\\
\\
4 \left[ 2 \left( \frac{-10}{19} \right) - \left( \frac{67}{19} \right) + 5 \right] =& - \left( 2 - \frac{70}{19} \right)
&& \text{Work inside parentheses first}
\\
\\
4 \left[ \frac{-20}{19} - \frac{67}{19} + 5 \right] =& - \left( - \frac{32}{19} \right)
&& \text{Work inside parentheses first}
\\
\\
4 \left( \frac{8}{19} \right) =& \frac{32}{19}
&& \text{Simplify}
\\
\\
\frac{32}{19} =& \frac{32}{19}
&& \text{True}

\end{aligned}
\end{equation}
$

Thursday, January 1, 2015

Precalculus, Chapter 6, 6.4, Section 6.4, Problem 19

3w*v is the dot product of two vectors, i.e. a scalar. (3w*v)*u is the product of this scalar and a vector, so it is a vector.
3w*v= (3*lt3,-1gt)*lt-4,2gt = lt9,-3gt*lt-4,2gt = 9*(-4)+(-3)*2=-42.
And (3w*v)*u=(-42)*lt3,3gt = lt-126,-126gt.
This is the answer.

Who is Kabonyi and why was he jealous?

Right from the beginning of the novel, Waiyaki is introduced as a good and obedient young man. He is a boy who has learned a lot from the wisdom of his father, Mr. Chege. However, when Waiyaki is sent to the missionary school and comes back as a teacher, there are doubts in the minds of some people as to where his true allegiance lies.
The main points of conflict in the novel are the two opposing extreme sides. One side believes that the Kikuyu community should completely convert to the ways of the missionaries and adopt everything the white man has to offer. This side is led by a strong Christian convert, Joshua. A different group believes that the community should stand for its traditional values. The Kiama, a sect which is led by Kabonyi, strongly advocates against colonialism or any influence by the white man.
At the center of all this dispute is Waiyaki. Waiyaki can be described as the perfect child of two worlds. He strongly believes in upholding the purity of his Kikuyu community, while at the same time he wants to adopt some good values from the white missionaries. He wants to educate his people and give them the knowledge of the white man.
The main point of conflict between Waiyaki and Kabonyi comes from their parallel thoughts. While Kabonyi insists that the white man should be completely resisted, Waiyaki seems to have a contrary opinion. This leads Kabonyi to hate Waiyaki.
Secondly, Kabonyi is also a self-centered leader. While he is the head of the Kiama, he tries to use his position to silence the progressive ideas brought about by Waiyaki. Kabonyi gets jealous when Waiyaki starts becoming more popular. The popularity of Waiyaki is drawn from the fact that he is teaching people's children, and parents love seeing their children's progress.
The epitome of the conflict between the two comes when Waiyaki falls in love with Nyambura—who is Joshua's daughter. In order for Waiyaki to prove his allegiance to the community, Kabonyi wants him to have no relationship with anybody from Joshua's family, because they are all converts to the Whiteman.
Kabonyi gets very jealous because he is unable to stop Waiyaki from doing anything. The people love Waiyaki and want to make him the head of Kiama. They also want to make him the head teacher of their school. To ensure that he does not become more influential, Kabonyi uses Waiyaki's weak point to bring him down by exposing his love to Nyambura.


Kabonyi is a young Kikuyu healer and traditional diviner. He offers fortune readings, heals the sick with various herbal remedies, and advises the elders on matters of tribal politics. Kabonyi has a tendency towards envy and expresses jealousy towards many individuals throughout the novel.
Perhaps his most salient jealousy-infused relationship is with Waiyaki. Waiyaki is a teacher who becomes influenced by European missionaries. He establishes a church and takes on many European cultural practices, including for example, receiving a European (Christian) name. Kabonyi is jealous because Waiyaki has great influence over the tribe. Despite Kabonyi's role a traditional diviner, the elders often dismiss his advice in favor of Waiyaki's advice. The children and youth of the tribe also seem strongly influenced by Waiyaki. Kabonyi is jealous of Waiyaki because Kabonyi wishes the he himself had great influence and charisma. Unfortunately, Kabonyi's tendencies towards anger and petulance prevent him from becoming considered a wise elder within his tribe.

What incident with the paper starts the conflict in "Contents of the Dead Man's Pocket"?

The inciting incident of the plot of "Contents of the Dead Man's Pockets" occurs with the loss of the yellow worksheet on which Tom Benecke has been working in an effort to create a new grocery store display method.
This yellow sheet contains the work of long hours of research: fact, figures, and quotations--everything that he wants to use to make his proposal. Tom hopes to complete this proposal on the evening that he sends his wife to the movies without him. Then, he can re-examine what he has written over the weekend and submit it on Monday morning.
But, when he gets up to kiss his wife and hug her, telling her to enjoy herself, a draft is created that draws the yellow sheet out the window onto the eleventh floor ledge. It is with utter disbelief that Tom tries to comprehend what has actually happened. Hours and hours of work have floated out the window like a feather! Tom ponders all the consequences of the loss of this important sheet of yellow paper. For one thing, it could mean the difference of his name being only one of many on the payroll, or one that people in the company know.

And he knew he was going out there in the darkness, after the yellow sheet fifteen feet beyond his reach.

Tom goes to a closet and puts on a jacket; he knows that he needs to try to get to the paper quickly without thinking about it. But, things do not quite work out for Tom, who risks life and death for this yellow sheet.

What was Susan Glaspell trying to argue in "A Jury of Her Peers"?

Although many possible arguments emerge in interpreting "A Jury of Her Peers," the fact that Mrs. Peters and Mrs. Hale intuit the motive for Mrs. Wright to kill her husband while the men miss all the illustrative details in the kitchen suggests that Glaspell believes women to be more intuitive and sympathetic than men. 
The nature of the circumstances that compelled Mrs. Wright to kill her husband build sympathy for the isolation and privation of poor rural women.  Her barely functional stove, rundown house, shabby clothes, and isolation are pitiable, and Mrs. Hale, and eventually Mrs. Peters, feel for Mrs. Wright. Their discovery of the murdered canary and what it must have meant to her is the tipping point as they suppress the evidence that could help to convict Mrs. Wright.
Because the story is called "A Jury of Her Peers," and Mrs. Wright's peers consider her "case" and find her homicide justifiable, it certainly can be read as a feminist story. The men are characterized as officious, oblivious, and ineffectual as "the law." 

Summarize the major research findings of "Toward an experimental ecology of human development."

Based on findings of prior research, the author, Bronfenbrenner proposes that methods for natural observation research have been applied in ...