Showing posts with label mathematics. Show all posts
Showing posts with label mathematics. Show all posts

Monday, May 3, 2010

Perspective

I finally learned how to keep the scorebook for my children’s softball and baseball games. That is, I got the basics down. My husband explained to me how it is a constant learning process because there are so many intricate rules to a ballgame that it takes a lifetime to fully understand them. Every ballgame he watches on television he says, “There never ceases to be plays that have never happened before.”

During a 20-inning Met game, I sat down with a scorebook and practiced. I had to keep asking my kids to explain what was going on and by the end I thought I had it. Then I tried to keep score at my daughter’s game and messed up the very first inning, after looking up and responding to someone’s question. My husband said it was virtually impossible to score a girls’ softball game because of all the errors that take place. It also goes much faster than a major league game - where you have like five minutes in between batters and replays in between.

I kept practicing and in the process have been given a greater understanding and appreciation of the game. Between scoring and calculating statistics for the league, I now see the game in terms of numbers. If my daughter gets an out going to first but brings in a runner, I can say, “Oh, that was a sacrifice…it’s okay because she brought a runner in.” I now have a grand slam recorded for each of my daughters and look forward to the day my son will hit one.

Finally I was ready and the coach surrendered his book to me. I stood way off from everyone and refused to acknowledge anyone who tried to talk to me, knowing it would throw me off. I like to keep track of the balls and strikes as well; but it is so easy to concentrate on the pitcher and batter and then lose track of stolen bases and errors. You have to constantly be scanning the field and noting where all the runners are as well. And because the plays happen so fast and you’re trying to keep track of where everybody is, sometimes it becomes necessary to ask someone else what just happened.

Parenting is like this too. The little things do matter – but you can’t lose sight of the big picture. Your big dreams have to be constantly kept in the background, knowing that it is all the small decisions you and your children make each day that will bring you there. Constant change in focus and perspective is necessary to keep it all in balance. And one person can’t possibly do it all. Husband and wife need to keep each other appraised of what is going on play by play, from different viewpoints. If a single parent doesn’t have that on a daily basis, the job is so much tougher; he or she needs to have as much support as possible from other trusted adults.

I Thessalonians 4 captures both the intricate and the life summation in one short passage. In Christianity every thought and action that takes place in your daily walk is of importance; it all leads to eternal salvation. We are told not to “fall asleep” – we must be constantly aware and ready. Like we tell our girls not to fall asleep in the outfield because when that ball comes to them they have to be in “ready position” or bad things happen (like homeruns being scored on errors).

1 Thessalonians
Chapter 4 (NAB)
1
Finally, brothers, we earnestly ask and exhort you in the Lord Jesus that, as you received from us how you should conduct yourselves to please God--and as you are conducting yourselves--you do so even more.
2
For you know what instructions we gave you through the Lord Jesus.
3
This is the will of God, your holiness: that you refrain from immorality,
4
that each of you know how to acquire a wife for himself in holiness and honor,
5
not in lustful passion as do the Gentiles who do not know God;
6
not to take advantage of or exploit a brother in this matter, for the Lord is an avenger in all these things, as we told you before and solemnly affirmed.
7
For God did not call us to impurity but to holiness.
8
Therefore, whoever disregards this, disregards not a human being but God, who (also) gives his holy Spirit to you.
9
On the subject of mutual charity you have no need for anyone to write you, for you yourselves have been taught by God to love one another.
10
Indeed, you do this for all the brothers throughout Macedonia. Nevertheless we urge you, brothers, to progress even more,
11
and to aspire to live a tranquil life, to mind your own affairs, and to work with your (own) hands, as we instructed you,
12
that you may conduct yourselves properly toward outsiders and not depend on anyone.
13
We do not want you to be unaware, brothers, about those who have fallen asleep, so that you may not grieve like the rest, who have no hope.
14
For if we believe that Jesus died and rose, so too will God, through Jesus, bring with him those who have fallen asleep.
15
Indeed, we tell you this, on the word of the Lord, that we who are alive, who are left until the coming of the Lord, will surely not precede those who have fallen asleep.
16
For the Lord himself, with a word of command, with the voice of an archangel and with the trumpet of God, will come down from heaven, and the dead in Christ will rise first.
17
Then we who are alive, who are left, will be caught up together 4 with them in the clouds to meet the Lord in the air. Thus we shall always be with the Lord.
18
Therefore, console one another with these words.


Picture is of Audrey playing catcher in a travel game October 2009. If you enjoyed this post you might also enjoy reading “Statistics: Who Needs Them?”

Thursday, April 22, 2010

Statistics: Who Needs Them ?


"A passion for statistics is the earmark of a literate people." - Paul Fisher

My newest project is that of calculating statistics for the softball league and posting them to the sports website. When I got the first batch of numbers, I had to ask my husband what they all meant and he happily brought me our huge hardcopy of John Thorn’s “Total Baseball: The Official Encyclopedia of Major League Baseball” so that I could fully understand and appreciate the history behind the stats tables.

I got the first table up and went outside, hoping I had gotten it right. I’m one of those people who can’t sleep if a little detail is wrong. “What’s the big deal – it’s just a little girl’s game, right?” I imagined what someone might say if they knew how worked up I had gotten about getting it right. Then I remembered back to the statistics courses I had taken, and eventually student-taught, as part of my psychology degree. “Why do we have to know all this? Of what use are all these calculations?” students would constantly moan.

One of the basic calculations is that of the average. Average can statistically mean one of several things, and if you don’t know that you will walk through life letting the newspapers report to you whichever of those fits the news they want you to believe. It can mean “mode”, or the most recurring number or other value, as in: The average person has brown hair. It can mean “median”, or the number that falls right in the middle, as in: The average person lives in a $200,000 house. The only type of average that mathematically means anything is that of “mean”, which is the sum divided by the number of values, usually resulting in a decimal, as in: The average person has 2.2 kids and half a dog.

Statistics can be as accurate as you want them to be. My professor used to tease me because I always liked to carry my calculations to the third decimal. The decimals can go on and on as far as you want to take them.

Statistics are used to objectify information that is used for decision-making. How do we know who is the best teacher, best student, or best ball player? By their statistics. This takes out the human factor so that everyone can see a rational justification for someone being appointed for a position or an award. Statistics make things fair.

Statistics are used by scientists to study the world. Every experiment is analyzed by statistics to come up with scientific conclusions. Lots of experiments are repeated and meta-analyzed to further generalize a theory. Statistics help us to discover and understand about God’s creation.

Little kids playing baseball or softball can look at their numbers and know that they can improve them through practice. As they see their decimals increase in value they can have the satisfaction that comes with improving their game, just as a runner strives to decrease the time it takes to run a mile.

Statistics speak the truth and enlighten us towards wisdom – and all that testifies to the light comes from God.

Proverbs
Chapter 8 (NAB)
1
Does not Wisdom call, and Understanding raise her voice?
2
On the top of the heights along the road, at the crossroads she takes her stand;
3
By the gates at the approaches of the city, in the entryways she cries aloud:
4
"To you, O men, I call; my appeal is to the children of men.
5
You simple ones, gain resource, you fools, gain sense.
6
"Give heed! for noble things I speak; honesty opens my lips.
7
Yes, the truth my mouth recounts, but the wickedness my lips abhor.
8
Sincere are all the words of my mouth, no one of them is wily or crooked;
9
All of them are plain to the man of intelligence, and right to those who attain knowledge.
10
Receive my instruction in preference to silver, and knowledge rather than choice gold.
11
(For Wisdom is better than corals, and no choice possessions can compare with her.)
12
"I, Wisdom, dwell with experience, and judicious knowledge I attain.
13
(The fear of the LORD is to hate evil;) Pride, arrogance, the evil way, and the perverse mouth I hate.
14
Mine are counsel and advice; Mine is strength; I am understanding.
15
By me kings reign, and lawgivers establish justice;
16
By me princes govern, and nobles; all the rulers of earth.
17
"Those who love me I also love, and those who seek me find me.
18
With me are riches and honor, enduring wealth and prosperity.
19
My fruit is better than gold, yes, than pure gold, and my revenue than choice silver.
20
On the way of duty I walk, along the paths of justice,
21
Granting wealth to those who love me, and filling their treasuries.
22
"The LORD begot me, the first-born of his ways, the forerunner of his prodigies of long ago;
23
From of old I was poured forth, at the first, before the earth.
24
When there were no depths I was brought forth, when there were no fountains or springs of water;
25
Before the mountains were settled into place, before the hills, I was brought forth;
26
While as yet the earth and the fields were not made, nor the first clods of the world.
27
"When he established the heavens I was there, when he marked out the vault over the face of the deep;
28
When he made firm the skies above, when he fixed fast the foundations of the earth;
29
When he set for the sea its limit, so that the waters should not transgress his command;
30
Then was I beside him as his craftsman, and I was his delight day by day, Playing before him all the while,
31
playing on the surface of his earth; and I found delight in the sons of men.
32
"So now, O children, listen to me;
33
instruction and wisdom do not reject! Happy the man who obeys me, and happy those who keep my ways,
34
Happy the man watching daily at my gates, waiting at my doorposts;
35
For he who finds me finds life, and wins favor from the LORD;
36
But he who misses me harms himself; all who hate me love death."


Picture: Audrey at bat at a travel game Columbus Day Weekend 2009.

Thursday, October 18, 2007

All Right, But Done the Wrong Way


“Who do you think your teacher is, me or your mother?” the math teacher yelled at my sixth grader today.

I somehow doubt she would have tread those waters had she known my daughter had been homeschooled through fourth grade.

The skill being taught was the addition and subtraction of negative and positive integers. The multi-step method taught yesterday was not abundantly clear to my daughter, and I could see she did not know what she was doing. I asked her why she was circling all the signs and what she thought she was supposed to do with them. She did not know.

“Look here,” I said, erasing her little circles.

“But the teacher said - ”

“Never mind that. You don’t remember what she said, and I don’t know what she said, so I’ll make it simple for you.”

I circled the two negatives and put a positive sign over them. “Two negatives make a positive, just like in grammar. Now add.”

“That’s it?”

“That’s it.”

The light bulb had gone on, and within five minutes the worksheet was done.

She got them all right, but that was not good enough. She had not followed directions.

I could definitely see from where the teacher was coming. However, if she had not explained the process in an understandable way, what was wrong with coming at it from a different direction? And once the work gets set home, isn’t that my territory?

I obviously was a bit miffed at my daughter’s being chastised for listening to her mother. But for me to say anything would be to make it worse. So I’ll let it be – and hope this doesn’t repeat itself too many more times in the next three years.

I seem to remember having a similar problem with my high school teacher, coming to a solution through a thought-process in reverse from what she had taught. But she knew there was “more than one way to skin a cat” (no offense meant to cat lovers here – it was a saying used often in my childhood), and as long as I could show my work there would be no points taken off.

My eldest daughter’s mind works so much like mine – we often complete each other’s sentences. Teaching her math was always a breeze. If I explained the numbers the way they sorted themselves out in my mind, she would catch on quite quickly. Teachers’ editions never worked for me – just give me the problem and let’s solve it.

Not so with Salvation. Jesus was quite clear that there was only One Way to the Father. He may speak in mysteries but they have a mathematical, logical undercurrent.

“Thomas said to him, ‘Master, we do not know where you are going;
how can we know the way?’
Jesus said to him, ‘I am the way, the truth and the life.
No one comes to the Father except through me.
If you know me, then you will also know my Father.
From now on you do know him and have seen him.’”
John 14:5-7

Painting above:
"The Professor is Out"
by Luigi Bechi