Wednesday, October 28, 2015

Most Influential Psychologists: A Look at Eminent Thinkers in Psychology

These individuals are not only some of the best-known thinkers in psychology, they also played an important role in psychology's history and made important contributions to our understanding of human behavior. This list is not an attempt to identify who was the most influential or which school of thought was best. Instead, this list offers a glimpse of some of the theoretical outlooks that have influenced not only psychology, but also the larger culture in which we live. - Image: luigi diamanti / freedigitalphotos.net

B. F. Skinner

In the 2002 study ranking the 99 most eminent psychologists of the 20th century, B.F. Skinner topped the list. Skinner's staunch behaviorism made him a dominating force in psychology and therapy techniques based on his theories are still used extensively today, including behavior modification and token economies.

Sigmund Freud

When people think of psychology, many tend to think of Freud. His work supported the belief that not all mental illnesses have physiological causes and he also offered evidence that cultural differences have an impact on psychology and behavior. His work and writings contributed to our understanding of personality, clinical psychology, human development, and abnormal psychology.

Albert Bandura

Bandura's work is considered part of the cognitive revolution in psychology that began in the late 1960s. His social learning theory stressed the importance of observational learning, imitation, and modeling. "Learning would be exceedingly laborious, not to mention hazardous, if people had to rely solely on the effects of their own actions to inform them what to do," Bandura explained in his 1977 bookSocial Learning Theory.

Jean Piaget

Jean Piaget's work had a profound influence on psychology, especially our understanding children's intellectual development. His research contributed to the growth of developmental psychology, cognitive psychology, genetic epistemology, and education reform. Albert Einstein once described Piaget's observations on children's intellectual growth and thought processes as a discovery "so simple that only a genius could have thought of it." 

Carl Rogers

Carl Rogers placed emphasis on human potential, which had an enormous influence on both psychology and education. He became one of the major humanist thinkers and an eponymous influence in therapy with his "Rogerian therapy." As described by his daughter Natalie Rogers, he was "a model for compassion and democratic ideals in his own life, and in his work as an educator, writer, and therapist." 

William James

Psychologist and philosopher William James is often referred to as the father of American psychology. His 1200-page text, The Principles of Psychology, became a classic on the subject and his teachings and writings helped establish psychology as a science. In addition, James contributed to functionalism, pragmatism, and influenced many students of psychology during his 35-year teaching career. 

Erik Erikson

Erik Erikson's stage theory of psychosocial development helped create interest and research on human development through the lifespan. An ego psychologist who studied with Anna Freud, Erikson expanded psychoanalytic theory by exploring development throughout the life, including events of childhood, adulthood, and old age.

Ivan Pavlov

Ivan Pavlov was a Russian physiologist whose research on conditioned reflexes influenced the rise of behaviorism in psychology. Pavlov's experimental methods helped move psychology away from introspection and subjective assessments to objective measurement of behavior.

Lev Vygotsky

Vygotsky was a contemporary of some better known psychologists including Piaget, Freud, Skinner, and Pavlov, yet his work never achieved the same eminence during his lifetime. This is largely because many of his writing remained inaccessible to the Western world until quite recently. It was during the 1970s that many of his writings were translated from Russian, but his work has become enormously influential in recent decades, particularly in the fields of educational psychology and child development.
While his premature death at age 38 put a halt to his work, he went on to become one of the most frequently cited psychologists of the 20th-century. 


Easiest Way to Evaluate Number from 1-100

There’s a popular story that Gauss, mathematician extraordinaire, had a lazy teacher. The so-called educator wanted to keep the kids busy so he could take a nap; he asked the class to add the numbers 1 to 100.

Gauss approached with his answer: 5050. So soon? The teacher suspected a cheat, but no. Manual addition was for suckers, and Gauss found a formula to sidestep the problem:
\displaystyle{\text{Sum from 1 to n} = \frac{n(n+1)}{2}}
\displaystyle{\text{Sum from 1 to 100} = \frac{100(100+1)}{2} = (50)(101) = 5050}
Let’s share a few explanations of this result and really understand it intuitively. For these examples we’ll add 1 to 10, and then see how it applies for 1 to 100 (or 1 to any number).

Technique 1: Pair Numbers

Pairing numbers is a common approach to this problem. Instead of writing all the numbers in a single column, let’s wrap the numbers around, like this:
1  2  3  4  5
10 9  8  7  6
An interesting pattern emerges: the sum of each column is 11. As the top row increases, the bottom row decreases, so the sum stays the same.
Because 1 is paired with 10 (our n), we can say that each column has (n+1). And how many pairs do we have? Well, we have 2 equal rows, we must have n/2 pairs.
\displaystyle{\text{Number of pairs * Sum of each pair} = (\frac{n}{2})(n+1) = \frac{n(n+1)}{2}}
which is the formula above.

Wait — what about an odd number of items?

Ah, I’m glad you brought it up. What if we are adding up the numbers 1 to 9? We don’t have an even number of items to pair up. Many explanations will just give the explanation above and leave it at that. I won’t.
Let’s add the numbers 1 to 9, but instead of starting from 1, let’s count from 0 instead:
0  1  2  3  4
9  8  7  6  5
By counting from 0, we get an “extra item” (10 in total) so we can have an even number of rows. However, our formula will look a bit different.
Notice that each column has a sum of n (not n+1, like before), since 0 and 9 are grouped. And instead of having exactly n items in 2 rows (for n/2 pairs total), we have n + 1 items in 2 rows (for (n + 1)/2 pairs total). If you plug these numbers in you get:
\displaystyle{\text{Number of pairs * Sum of each pair} = (\frac{n + 1}{2})(n) = \frac{n(n+1)}{2}}
which is the same formula as before. It always bugged me that the same formula worked for both odd and even numbers – won’t you get a fraction? Yep, you get the same formula, but for different reasons.

Technique 2: Use Two Rows

The above method works, but you handle odd and even numbers differently. Isn’t there a better way? Yes.
Instead of looping the numbers around, let’s write them in two rows:
1  2  3  4  5  6  7  8  9  10
10 9  8  7  6  5  4  3  2  1
Notice that we have 10 pairs, and each pair adds up to 10+1.
The total of all the numbers above is
\displaystyle{\text{Total = pairs * size of each pair} = n(n + 1)}
But we only want the sum of one row, not both. So we divide the formula above by 2 and get:
\displaystyle{\frac{n(n + 1)}{2}}
Now this is cool (as cool as rows of numbers can be). It works for an odd or even number of items the same!

Technique 3: Make a Rectangle

I recently stumbled upon another explanation, a fresh approach to the old pairing explanation. Different explanations work better for different people, and I tend to like this one better.
Instead of writing out numbers, pretend we have beans. We want to add 1 bean to 2 beans to 3 beans… all the way up to 5 beans.
x
x x
x x x
x x x x
x x x x x
Sure, we could go to 10 or 100 beans, but with 5 you get the idea. How do we count the number of beans in our pyramid?
Well, the sum is clearly 1 + 2 + 3 + 4 + 5. But let’s look at it a different way. Let’s say we mirror our pyramid (I’ll use “o” for the mirrored beans), and then topple it over:
x                 o      x o o o o o
x x             o o      x x o o o o
x x x         o o o  =>  x x x o o o
x x x x     o o o o      x x x x o o
x x x x x o o o o o      x x x x x o
Cool, huh? In case you’re wondering whether it “really” lines up, it does. Take a look at the bottom row of the regular pyramid, with 5′x (and 1 o). The next row of the pyramid has 1 less x (4 total) and 1 more o (2 total) to fill the gap. Just like the pairing, one side is increasing, and the other is decreasing.
Now for the explanation: How many beans do we have total? Well, that’s just the area of the rectangle.
We have n rows (we didn’t change the number of rows in the pyramid), and our collection is (n + 1) units wide, since 1 “o” is paired up with all the “x”s.
\displaystyle{Area = height \cdot width = n(n+1)}
Notice that this time, we don’t care about n being odd or even – the total area formula works out just fine. If n is odd, we’ll have an even number of items (n+1) in each row.
But of course, we don’t want the total area (the number of x’s and o’s), we just want the number of x’s. Since we doubled the x’s to get the o’s, the x’s by themselves are just half of the total area:
\displaystyle{\text{Number of x�s} = \frac{Area}{2} = \frac{n(n + 1)}{2}}
And we’re back to our original formula. Again, the number of x’s in the pyramid = 1 + 2 + 3 + 4 + 5, or the sum from 1 to n.

Technique 4: Average it out

We all know that
average = sum / number of items
which we can rewrite to
sum = average * number of items
So let’s figure out the sum. If we have 100 numbers (1…100), then we clearly have 100 items. That was easy.
To get the average, notice that the numbers are all equally distributed. For every big number, there’s a small number on the other end. Let’s look at a small set:
1 2 3
The average is 2. 2 is already in the middle, and 1 and 3 “cancel out” so their average is 2.
For an even number of items
1 2 3 4
the average is between 2 and 3 – it’s 2.5. Even though we have a fractional average, this is ok — since we have an even number of items, when we multiply the average by the count that ugly fraction will disappear.
Notice in both cases, 1 is on one side of the average and N is equally far away on the other. So, we can say the average of the entire set is actually just the average of 1 and n: (1 + n)/2.
Putting this into our formula
\displaystyle{\text{sum = average * count } = \frac{(1 + n)}{2} \cdot n = \frac{n(n + 1)}{2}}
And voila! We have a fourth way of thinking about our formula.

So why is this useful?

Three reasons:
1) Adding up numbers quickly can be useful for estimation. Notice that the formula expands to this:
\displaystyle{\frac{n(n+1)}{2} = \frac{n^2}{2} + \frac{n}{2} }
Let’s say you want to add the numbers from 1 to 1000: suppose you get 1 additional visitor to your site each day – how many total visitors will you have after 1000 days? Sincethousand squared = 1 million, we get million / 2 + 1000/2 = 500,500.
2) This concept of adding numbers 1 to N shows up in other places, like figuring out the probability for the birthday paradox. Having a firm grasp of this formula will help your understanding in many areas.
3) Most importantly, this example shows there are many ways to understand a formula. Maybe you like the pairing method, maybe you prefer the rectangle technique, or maybe there’s another explanation that works for you. Don’t give up when you don’t understand — try to find another explanation that works. Happy math.
By the way, there are more details about the history of this story and the technique Gauss may have used.

Variations

Instead of 1 to n, how about 5 to n?
Start with the regular formula (1 + 2 + 3 + … + n = n * (n + 1) / 2) and subtract off the part you don’t want (1 + 2 + 3 + 4 = 4 * (4 + 1) / 2 = 10).
Sum for 5 + 6 + 7 + 8 + … n = [n * (n + 1) / 2] – 10
And for any starting number a:
Sum from a to n = [n * (n + 1) / 2] – [(a - 1) * a / 2]
We want to get rid of every number from 1 up to a – 1.
How about even numbers, like 2 + 4 + 6 + 8 + … + n?
Just double the regular formula. To add evens from 2 to 50, find 1 + 2 + 3 + 4 … + 25 and double it:
Sum of 2 + 4 + 6 + … + n = 2 * (1 + 2 + 3 + … + n/2) = 2 * n/2 * (n/2 + 1) / 2 = n/2 * (n/2 + 1)
So, to get the evens from 2 to 50 you’d do 25 * (25 + 1) = 650
How about odd numbers, like 1 + 3 + 5 + 7 + … + n?
That’s the same as the even formula, except each number is 1 less than its counterpart (we have 1 instead of 2, 3 instead of 4, and so on). We get the next biggest even number (n + 1) and take off the extra (n + 1)/2 “-1″ items:
Sum of 1 + 3 + 5 + 7 +  … + n = [(n + 1)/2 * ((n + 1)/2 + 1)] – [(n + 1) / 2]
To add 1 + 3 + 5 + … 13, get the next biggest even (n + 1 = 14) and do
[14/2 * (14/2 + 1)] – 7 = 7 * 8 – 7 = 56 – 7 = 49
Combinations: evens and offset
Let’s say you want the evens from 50 + 52 + 54 + 56 + … 100. Find all the evens
2 + 4 + 6 + … + 100 = 50 * 51
and subtract off the ones you don’t want
2 + 4 + 6 + … 48 = 24 * 25
So, the sum from 50 + 52 + … 100 = (50 * 51) – (24 * 25) = 1950
Phew! Hope this helps.
Ruby nerds: you can check this using
(50..100).select {|x| x % 2 == 0 }.inject(:+)
1950

Learning in Music

                                             


Music, rhythm, and rhyme are great for learning and memory. Quick, which months have thirty days? If you're like me, you have to say the rhyme we all learned in school to be sure. Many kindergarteners can't say their ABC's, but they can sing them. People use music and rhythm for memorizing all sorts of lists, from the books of the Bible to the digits of pi.

Why Learn English Through Songs and Music?

So what is it about songs that make them such effective English language learning tools?
  • It works. There is considerable scientific evidence that demonstrates how music can help second language learners acquire grammar and vocabulary and improve spelling. Then there is the so-called “Mozart Effect”, the concept that listening to classic musical boosts the performance of mental tasks like learning.
  • Everyday language and colloquial speech. Songs and music almost always contain a lot of useful vocabulary, phrases and expressions. And since the intended audience is native speakers, songs and music include up-to-date language and colloquialisms. The language used in songs is casual and actually usable, if you pick the right music.
  • Get familiar with the sound of English. Listening to songs will also allow you to focus on your pronunciation and understanding of the English language’s rhythm, tone and beat.
  • Get English stuck inside your head. Many of the words and sound patterns within a song are repetitive and this makes it easier for them to stick in your mind. You probably already know this. Music has an uncanny ability of getting stuck in our heads. Tunes and lyrics will often infiltrate our thoughts and play over and over in our minds. All of which will help you to learn English through songs as you easily memorize vocabulary and phrases. In fact, after a short period of time you will find it almost impossible to forget them.
  • Songs are emotional. Our relationship with music is deep, powerful and hugely rewarding. It is a key that unlocks our emotions, influences our moods and enhances our mental and physical well-being. When something is emotional, then of course it is also easier to remember.
  • Music is an easy habit. One reason people find language learning difficult is they don’t have an extra minute in the day to devote to their studies. But when you’re learning English through songs, you don’t need to set aside too much time because you can take the music with you wherever you go. You can have English songs playing in the car, the kitchen and the shower. And by picking music you like, you can listen to the same material over and over again, without becoming bored.
  • Music teaches you English culture. Music gives you insight into English-speaking culture and how English-speaking people think and feel. Familiarity with popular songs and artists gives you something to talk about with your English-speaking friends.
        Music is a very effective tool that should play a larger role in the EFL/ESL classroom  because it offers a great variety that appeals to the students. Most children enjoy music  and therefore it should increase their interest in learning a new language in a very  entertaining way. Educators need to be willing to incorporate music in their lessons in  order to better enhance their students’ learning. 

        Music can be used to remove language barriers and should be implemented as 
early as the first grade. More music in every language classroom will inspire more 
students to become creative and independent. Music will allow educators and their 
students to understand each other and connect in a new way.

Self-confidence VS Self-esteem

The terms self-esteem and self-confidence are often used interchangeably when referring to how one feels about themselves. Although they are very similar, they are two different concepts. It is important to understand their roles when looking to improve your overall sense of self.

What is Self-Esteem?

Self-esteem refers to how you feel about yourself overall; how much esteem, positive regard or self-love you have. Self-esteem develops from experiences and situations that have shaped how you view yourself today.
Self-confidence is how you feel about your abilities and can vary from situation to situation. I may have healthy self-esteem, but low confidence about situations involving math (this is true).
When you love yourself, your self-esteem improves, which makes you more confident. When you are confident in areas of your life, you begin to increase your overall sense of esteem. You can work on both at the same time.

What Does Low Self-Esteem Look Like?

A friend told me she has low self-esteem; she constantly feels “I’m not good enough.” This concept has developed over her entire life. She has been in a series of unhealthy relationships, is frequently belittled by her boss, and constantly tells herself “I suck, I’m not worth it.” Recognizing she has this negative script, she is now better able to change it.
On the positive side, she is confident about being an amazing chef, a caring friend, and having the ability to be super-organized. She knows and believes this about herself and feels confident in these areas. By focusing on the things she is confident in and working on changing her negative self-talk, she is improving both her self-esteem and self-confidence.

Ideas for Improving Self-Esteem and Self-Confidence

If you are having trouble finding areas you are confident in, try these tips.
  • Think of qualities others say you excel in. Even if you believe them slightly, this is a step in the right direction.
  • Stop the negative chatter. Shut it up! Start to think of contradictions to these statements.
  • Would you say it to a friend? If not, stop saying these statements to yourself.
  • Make a list of strengths. Think of what you would say about yourself if you were on a job interview.
The more we recognize our challenges with self-confidence and self-esteem, the more aware we become of improvements that can be made. This is when positive changes occur.

An Effective Teacher

What are the qualities of an effective teacher? 
Be an epic teacher

Studies show nothing is as critical to a child’s education outcome than their teacher. However, in many societies the role of the teacher has been strongly critiqued. This plenary explores how we might rethink education systems so that they champion the teacher in society.

  1. Knowledge of the Subject: First off, this quality is an absolute necessity to being an effective teacher. It does not matter how motivated, passionate, or creative you are if you cannot teach your students what they are there to learn. How can you expect them to learn if you don’t even know what they are supposed to be learning?
  2. Motivation: To be an effective teacher one has to be motivated, motivated to learn and to help others learn. That motivation for learning and self-improvement is what separates the truly great teachers from the rest. They are always trying new ways of teaching and engaging their students and they never tire of being students themselves. Effective teachers are always learning different ways of doing things and take the time to learn from other effective teachers.
  3. Emotional Intelligence and Empathy: Understanding your students is an integral part in being an effective teacher. Being able to connect with students on an emotional level and help them through the problems that come with growing up is what effective teachers do. For many kids, teachers are the ones they turn to for support when they can’t find it anywhere else. This emotional intelligence and empathy can go a long way in not only helping those students be able to learn but in changing their lives as well.
  4. Stamina: As most teachers will agree, it takes a lot of energy to teach and keep students engaged. It also takes a lot of stamina, because you never know what will happen next. Every day as a teacher is an adventure, and you have to be able to handle it in stride and keep on going.
  5. Passion: To me, this is the most important characteristic of an effective teacher. Passion in teachers is what inspires students to want to do their best and to dream big dreams. Passionate teachers are not those who chose to teach because they could not do anything else. Passionate teachers are those that find true happiness in their profession and in the everyday aspect of helping kids discover who they are and who they want to be.
Teachers are some of the few people who have the power to change the world because the future of the world is sitting in their classrooms. Those teachers who have knowledge, motivation, emotional intelligence and empathy, stamina, and passion are able to make an impact in the lives of their students. They inspire them to dream their wildest dreams while giving them the tools to achieve them and those are the ones who have the greatest impact.

Wednesday, August 12, 2015

Filipino Alphabet

Learning the Filipino alphabet is very important because its structure is used in every day conversation. Without it, you will not be able to say words properly even if you know how to write those words. The better you pronounce a letter in a word, the more understood you will be in speaking the Filipino language.

Ang Bagong Alpabetong Filipino ay binubuo ng 28 letra:


A a          B b          C c          D d         E e          F f           G g         H h         I i             J j
K k          L l            M m       N n         Ñ ñ         Ng ng    O o         P p          Q q         R r
S s           T t           U u         V v          W w       X x          Y y          Z z
Mga Orihinal na letra:
A a          B b          D d         E e          G g         H h         I i
K k          L l            M m       N n         NG ng   O o         P p
R r          S s           T t           U u         W w       Y y
Mga Hiram na letra:
Cc           Ff            Jj             Ññ          Qq          Vv           Xx           Zz
23 Katinig sa Bagong Alpabeto:
B, C, D, F, G, H, J, K, L, M, N, Ñ, Ng, P, Q, R, S, T, V, W, X, Y, Z
5 Patinig sa Bagong Alpabeto:
A, E, I, O, U

Diptonggo – mga pantig na nagtatapos sa mga letrang w at y
halimbawa:         aw – kalabaw      iw – aliw
ay – tinapay        ey – reyna           iy – nami’y           oy – kahoy          uy – aruy
Klaster – kambal katinig
halimbawa:         kr – Kristal           tw – twalya         dr – drayber




5 Speaking Rules you need to know!

1. Don't study grammar too much

This rule might sound strange to many ESL students, but it is one of the most important rules. If you want to pass examinations, then study grammar. However, if you want to become fluent in English, then you should try to learn English without studying the grammar.

Studying grammar will only slow you down and confuse you. You will think about the rules when creating sentences instead of naturally saying a sentence like a native. Remember that only a small fraction of English speakers know more than 20% of all the grammar rules. Many ESL students know more grammar than native speakers. I can confidently say this with experience. I am a native English speaker, majored in English Literature, and have been teaching English for more than 10 years. However, many of my students know more details about English grammar than I do. I can easily look up the definition and apply it, but I don't know it off the top of my head.

I often ask my native English friends some grammar questions, and only a few of them know the correct answer. However, they are fluent in English and can read, speak, listen, and communicate effectively.

Do you want to be able to recite the definition of a causative verb, or do you want to be able to speak English fluently?


2. Learn and study phrases

Many students learn vocabulary and try to put many words together to create a proper sentence. It amazes me how many words some of my students know, but they cannot create a proper sentence. The reason is because they didn't study phrases. When children learn a language, they learn both words and phrases together. Likewise, you need to study and learn phrases.

If you know 1000 words, you might not be able to say one correct sentence. But if you know 1 phrase, you can make hundreds of correct sentences. If you know 100 phrases, you will be surprised at how many correct sentences you will be able to say. Finally, when you know only a 1000 phrases, you will be almost a fluent English speaker.

Don't translate

When you want to create an English sentence, do not translate the words from your Mother tongue. The order of words is probably completely different and you will be both slow and incorrect by doing this. Instead, learn phrases and sentences so you don't have to think about the words you are saying. It should be automatic.

Another problem with translating is that you will be trying to incorporate grammar rules that you have learned. Translating and thinking about the grammar to create English sentences is incorrect and should be avoided.


3. Reading and Listening is NOT enough. Practice Speaking what you hear!

Reading, listening, and speaking are the most important aspects of any language. The same is true for English. However, speaking is the only requirement to be fluent. It is normal for babies and children to learn speaking first, become fluent, then start reading, then writing. So the natural order is listening, speaking, reading, then writing.

First Problem
Isn't it strange that schools across the world teach reading first, then writing, then listening, and finally speaking? Although it is different, the main reason is because when you learn a second language, you need to read material to understand and learn it. So even though the natural order is listening, speaking, reading, then writing, the order for ESL students is reading, listening, speaking, then writing.

Second Problem
The reason many people can read and listen is because that's all they practice. But in order to speak English fluently, you need to practice speaking. Don't stop at the listening portion, and when you study, don't just listen. Speak out loud the material you are listening to and practice what you hear. Practice speaking out loud until your mouth and brain can do it without any effort. By doing so, you will be able to speak English fluently.


4. Submerge yourself

Being able to speak a language is not related to how smart you are. Anyone can learn how to speak any language. This is a proven fact by everyone in the world. Everyone can speak at least one language. Whether you are intelligent, or lacking some brain power, you are able to speak one language.

This was achieved by being around that language at all times. In your country, you hear and speak your language constantly. You will notice that many people who are good English speakers are the ones who studied in an English speaking school. They can speak English not because they went to an English speaking school, but because they had an environment where they can be around English speaking people constantly.

There are also some people who study abroad and learn very little. That is because they went to an English speaking school, but found friends from their own country and didn't practice English.

You don't have to go anywhere to become a fluent English speaker. You only need to surround yourself with English. You can do this by making rules with your existing friends that you will only speak English. You can also carry around an iPod and constantly listen to English sentences. As you can see, you can achieve results by changing what your surroundings are. Submerge yourself in English and you will learn several times faster.


5. Study correct material

A common phrase that is incorrect is, "Practice makes perfect." This is far from the truth. Practice only makes what you are practicing permanent. If you practice the incorrect sentence, you will have perfected saying the sentence incorrectly. Therefore, it is important that you study material that is commonly used by most people.

Another problem I see is that many students study the news. However, the language they speak is more formal and the content they use is more political and not used in regular life. It is important to understand what they are saying, but this is more of an advanced lesson that should be studied after learning the fundamental basics of English.

Studying English with a friend who is not a native English speaker is both good and bad. You should be aware of the pros and cons of speaking with a non native speaking friend. Practicing with a non native person will give you practice. You can also motivate each other and point out basic mistakes. But you might pick up bad habits from one another if you are not sure about what are correct and incorrect sentences. So use these practice times as a time period to practice the correct material you studied. Not to learn how to say a sentence.

In short, study English material that you can trust, that is commonly used, and that is correct.