Showing posts with label fun in science and math education. Show all posts
Showing posts with label fun in science and math education. Show all posts

Friday, February 19, 2010

Functions---FUNCIÓN DE LA FUNCIÓN---Reach Reading™

Understanding mathematics is a part of science literacy. A brief quote from an article on functions. Read more at the source below.

FUNCIÓN DE LA FUNCIÓN

1. Identificación de la función.

2. ¿Por qué la función es improbable sin estructura?

3. Estructura que neutralice la improbabilidad.

4. la estructura hace probable, y no necesario, el cumplimiento de la función.
Source: http://intro2atria2009.blogspot.com/2009/12/clase-28.html; Accessed 2-19-0=2010.

Sometimes Reach Reading requires a researcher to look at articles in other languages than he or she knows. Hmmm! That won't stop someone who wants to know something, He or she will, "Reach!"
Then, a translation tool, for example, http://webdev.quickfound.net/language_translation_tools.html
might be useful and we can look at more of the web page, too:

Class 28

9 noviembre 2009
November 9, 2009


Por Sebastián Jara L.
By Sebastian Jara L.



Concepto Jurídico no es Estructural.
Legal Concept is not structural.


Tiene una explicación funcional (en definitiva) y nominal.

It has a functional explanation (ultimately) and nominal.


Esto se hace evidente al analizar al Derecho Penal.
This becomes evident when analyzing the Criminal Law.


Ergo, la pena, y al diferenciarla del tributo.
Ergo, grief, and differentiate the tax.


El tributo se diferencia de la multa en su función.
The tribute to the fine difference in function.


La pena tiene carácter de reproche.

The penalty is a matter of reproach.


Según Moore la pena infringe reproche por conductas que van en contra de principios morales verdaderos.

According to Moore's sentence for conduct that violates reproach go against moral principles true.....


FUNCIÓN DE LA FUNCIÓN

ROLE OF THE ROLE


1. Identificación de la función.
Identification of the function.


2. ¿Por qué la función es improbable sin estructura?
Why the function is unlikely without structure?


3. Estructura que neutralice la improbabilidad.
Structure to neutralize the improbability.


4. la estructura hace probable, y no necesario, el cumplimiento de la función.
structure makes it likely, and not to the fulfillment of the function.

FUNCIÓN DE LA FUNCIÓN دور دور
. 1 Identificación de la función. تحديد وظيفة.

. 2 ¿Por qué la función es improbable sin estructura? لماذا وظيفة من غير المرجح بدون الهيكل؟

. 3 Estructura que neutralice la improbabilidad. هيكل لتحييد الاحتمال.

. 4la estructura hace probable, y no necesario, el cumplimiento de la función. هيكل يجعل من المحتمل ، وعدم وفاء للمهمة.


ROL VAN DIE ROL

1. Identificación de la función. Identifikasie van die funksie.

2. ¿Por qué la función es improbable sin estructura?
Waarom die funksie wat dit onwaarskynlik is sonder struktuur?


3. Estructura que neutralice la improbabilidad.
Struktuur te neutraliseer die onwaarschijnlijk.


4. la estructura hace probable, y no necesario, el cumplimiento de la función.
struktuur maak dit waarskynlik is, en nie aan die vervulling van die funksie.

If we see then that the article is not what we wanted, though it is an interesting article on legal concept of function/role, then we can continue our search on functions of a mathematical nature.

How about this one?
http://functions.wolfram.com/
going in a few pages we find the material quoted below:
General

The arithmetic-geometric mean appeared in the works of J. Landen (1771, 1775) and J.‐L. Lagrange (1784-1785) who defined it through the following quite‐natural limit procedure:
C. F. Gauss (1791–1799, 1800, 1876) continued to research this limit and in 1800 derived its representation through the hypergeometric function .

If you are like many readers, you say, "Whoa!" as soon as you reach the equations. Slow down. Don't panic. In fact, perhaps, "whoa," is the right word. Take your time.

Compare this reading to a video game. It wouldn't be fun if you knew where all the treasures are. The fun is in the challenge. Before you get into decoding the equations and math jargon, check if the article is on what you want to learn, Then, slow down and have fun with it. You'll soon come up to speed.

Try another source:
In mathematics, the arithmetic-geometric mean (AGM) of two positive real numbers x and y is defined as follows:
First compute the arithmetic mean of x and y and call it a1. Next compute the geometric mean of x and y and call it g1; this is the square root of the product xy:
a_1 = \tfrac{1}{2}(x + y)
g_1 = \sqrt{xy}.
Then iterate this operation with a1 taking the place of x and g1 taking the place of y. In this way, two sequences (an) and (gn) are defined:
a_{n+1} = \tfrac{1}{2}(a_n + g_n)
g_{n+1} = \sqrt{a_n g_n}.
These two sequences converge to the same number, which is the arithmetic-geometric mean of x and y; it is denoted by M(x, y), or sometimes by agm(x, y).
This can be used for algorithmic purposes as in the AGM method.
Does this second source help you understand better?

Source: http://en.wikipedia.org/wiki/Arithmetic-geometric_mean; Accessed 2-19-2010.
Sources:
http://intro2atria2009.blogspot.com/2009/12/clase-28.html; Accessed 2-19-2010.
http://en.wikipedia.org/wiki/Arithmetic-geometric_mean.

More tools:
http://translate.google.com/translate_buttons

(c)2010 J S Shipman

Monday, December 7, 2009

Today(12-07-09)'s quote of the day is by Jules Verne

Science, my lad, is made up of mistakes, but they are mistakes which it is useful to make, because they lead little by little to the truth.

"Jules Verne (1828-1905)
Discuss"
Source: http://encyclopedia2.thefreedictionary.com/Verne,+Jules. Accessed December 7, 2009.

Science literacy is enhanced when we understand Verne's quote, and, when we enjoy reading science and science fiction.

Among more than 50 books written by Jules Verne, originally in French, there are popular English translations:
  • Five Weeks in a Balloon (1863),
  • A Journey to the Center of the Earth (1864),
  • From the Earth to the Moon (1865),
  • Twenty Thousand Leagues under the Sea (1870),
  • Around the World in Eighty Days (1873),
  • The Mysterious Island (1875), and
  • Michael Strogoff (1876).

Students might like to read some of Jules Verne's books and then look at the developments in science that he appeared to envision long before they arrived.

Perhaps students would like to try to write a science fiction story. Ask students if they think a good science fiction writer needs to know science. Find a science fiction tutorial by Jeffrey A. Carver, a science fiction writer (who offers the course as a public service to aspiring writers) on-line at: http://www.writesf.com/.

Thursday, November 5, 2009

Fun and Learning: Google Games---Seeking Top Performers for work...relating that to science and math education.

Here is a story about Google Games, a day of engineering- and math-heavy challenges. This particular story, by Wade Rousch, is about challenges that took place in 2008. It is about a recruiting method that can be adapted to science and math education. It is about the joy of learning. It is about being surrounded by others who want to learn and who learn recreationally.

Read the article here, then, think about what you can carry away from it to apply to science education situations.

Math team, chess teams, science fairs, bridge-building competitions and other venues blending learning and fun may foreshadow this type of recruiting. Do you feel joy from participants at these events? Do you feel joy from students in your science and math classes? Are your top students challenged? Are all students challenged at appropriate levels?

Do you remember finishing all the math exercises and science problems in the text books within the first two weeks of school because they were fun to do, and then being bored in class? Today, as a student, one can go to the internet and use Google (or other search engine) and find math and science challenges (For example, the MIT courses in the left hand column of this blog...). Neither work, nor, education, should hold people back from reaching their full potential, and being happy. Maybe we need a "Google Games," open to the whole public...pre-K through age 160+. Hmmm!