Wednesday, January 28, 2015

looking for love alt



Stop “looking for love”

Honestly. Just fucking stop
I can’t think of anything that is a bigger waste of time.
Period.
Stop “looking for love”
Abandon the idea utterly, and without restraint.
“how will I live without love?” you ask
Dumbass!
Stupid, stupid, stupid
Love is not something you find
Love is something you share.
It is not something you “fall into”
It is something that you “give" to others Freely
Stop expecting people to “love” you by offering cheap parlor tricks and money.

Start doing things that you love.
And give love freely to the people nearby, just because.
They will naturally give the love back. That’s what healthy people do.
If they give you hell, in exchange for love, just go somewhere else.
Keep your pearls away from swine.
It’s not complicated

Classical conditioning technique: Behavioral Prompts, Prompting and fading

Behavioral Prompts
A behavioral prompt is defined as “an antecedent that induces a person to perform a behavior that otherwise does not occur” (Chance,1998, p. 139). Behavioral prompts are generally placed into five useable categories by behavioral scientists. These categories are verbal, gestural, physical, modeling, and environmental.

Verbal Prompts
Verbal prompts are behavioral prompts that specifically include spoken or written words, in whole or parts. When someone gives a prompt for someone else to complete a sentence, or fills in a blank on a form, a verbal prompt has occurred. Other examples of verbal prompts include using verbal cues to cause non-verbal behavior, such as a physical activity or technique of some sort. For example, the question “can I have a kiss?” is a verbal prompt for affectionate behavior if the receiver of the prompt does in fact give the prompter a kiss. There are countless other examples, but the essential factor is that the prompter elicits or evokes behavior from the prompted with written or spoken words or parts of words. The nature of the response and whether or not it is verbal is unimportant for determining if it is a verbal prompt.

Gestural Prompts
Gestural prompts are behavioral prompts that are brought on by facial expression or body posture, more commonly referred to as body language. The following is an example of use of a gestural prompt in my own life. I was once at a social gathering where a lot of hugs were being given by people I didn’t know to people I did. As a result I threw my hands out to the side in chagrin. However because of this gesture, one of the ladies who I was not acquainted with took that as a prompt indicating that I wanted a hug. She asked me if that’s what I was indicating. Needless to say, my putting my arms to the side ultimately resulted in my receiving a hug from someone whose name I can’t remember and will never see again. Such is the power of gestural prompts.

Physical Prompts
A physical prompt is guiding someone’s body to perform an action by using yours to move their body to approximate the correct motions. Go to any martial arts or sports class often enough and you stand a high probability of seeing this happen between experienced practitioners showing others the general motions of how to swing a baseball bat or golf club or even a bamboo sword.

Modeling Prompts
A modeling prompt is showing a selected behavior to the recipient by performing it, (or a close copy of it) in a manner that they can directly observe. For example during a martial arts practice session I could model to a newer student the manner in which a sword is swung or how a ceremonial bow is performed. In the same practice session I may view my instructor modeling certain moves or techniques.

Environmental Prompts
Some researchers do not recognize environmental prompts as a main category of behavior. When used as an analysis tool they are best described as a physical environmental change that favors one kind of behavior and reinforces it over another. An example of an environmental prompt could be an doormat with a shoe rack next to it. Depending on our cultural and conditioning history, either can make a fairly obvious prompt to wipe off one’s shoes and take them off before entering certain buildings. For persons not conditioned to respond to that prompt, verbal prompts or others are often necessary to teach that behavior.


Fading
Fading is defined as gradually reducing the strength of a prompt (Chance p. 144). In this process of fading a person is weaned off of the need for a behavioral prompt and then continue to perform the prompted behavior. For example a person unaccustomed to taking their shoes off at your front door might need a number of verbal prompts the first several times entering your house to take them off. However in time as they gain a consistent prompt verbally to remove their shoes, it would be possible to eventually provide smaller or fewer levels of verbal prompting until they begin to perform the desired shoe removal behavior at your front door on their own.

Prompting and Fading a desired behavior
To instill a new behavior in a person, prompting and fading, can lead to the development of a desired behavior prompted only by its natural prompts rather than by the added prompts given to condition the behavior. While the exact procedure for this process is done rather intuitively by parents and teachers the world over, explaining the details of it is useful for applications with persons with disabilities mental or otherwise. This is because while most adults and normal children respond rather rapidly to prompting and fading of simple tasks, persons with a developmental challenge or mental illness often respond to such treatments much more slowly. The general procedure for a prompting/fading treatment is as follows:
.
  1. Determine the desired behavior to be prompted.
  2. Present the natural prompt for that behavior. If it is exhibited by the natural prompt, reinforce it.
  3. If the natural prompt of a behavior does not evoke the desired target behavior, step up the level of added prompting to the smallest available prompt that may produce the behavior.
  4. Continue gradually raising the level of prompt until the behavior has been successfully demonstrated then produced.
  5. After the behavior has been evoked, reinforce the behavior and repeat the prompt.
  6. Continue prompting and reinforcing the desired behavior until such a point that it is believed that the response is immediately and reliably evoked.
  7. Once this occurs attempt to fade the level of prompting by decreasing it a single step lower.
  8. If The target behavior is maintained at this level of prompting, continue using it untill it is “reliable and immediate” before reducing it further.
  9. If the behavior is not exhibited with the new low level of prompting , go back to the prior successful level of prompting until it has been reestablished fully before attempting to lower the level again.
  10. Continue this cycle of reducing prompts until the added prompt is no longer needed to evoke the behavior and the natural one is sufficient and reliable.
  11. If at any point during the prompt/fading process, it is suspected that the prompt is no longer necessary, the prompter may omit the prompt or reduce it to its weakest prompting level possible. If the behavior continues, it may no longer need further prompting. The act of testing early to see if a prompt is necessary is called a probe.
Some considerations during this process include how much time someone has to develop this new behavior and how quickly the prompt may be faded. For some persons and some behaviors, the process may take weeks, months, or even years to accomplish. Also when using this method, keep in mind the stamina of the person being trained the new behavior. Often 1-2 minutes a day for weeks or years is more effective than a similar training period of 24 hours over the period of one day to teach a new behavioral response to a prompt.

Commentary on B.F. Skinner’s “Rules to live by article”
In this article, paraphrased in Chance between pages 157-159 B.F. Skinner discusses how a complex task such as playing pool can be done either with complicated mathematical equations, or by simplifying the actual calculations into a more intuitive system of rules or “shortcuts,” that are guided as much by practiced intuition as anything else. In many cases he goes on to explain the rules that we live by are created by long-term consequences for actions whose final effects are not immediately obvious. For instance the long-term health consequences of habitual smoking or drug use are not immediately obvious to those persons who are feeling a “buzz”. Often ethical and legal consequences are used to supplement and assist the natural consequences of certain behaviors to help provide more effective control of certain actions.
Skinner then goes on to speak of several “classical” distinctions between “rule shaped” and “contingency shaped” behaviors.

  1. Deliberation vs. Impulse
    Deliberately planned behavior is behavior that is weighed against the rules and contingencies that are observed by the potential behavior producer before the overt behavior that follows. Impulse behavior does not follow this pattern of introspection. A example of deliberate behavior is when in one of Hollywood’s action thrillers, a hero might have an internal moral debate on whether or not to shoot the enemy holding an friend hostage before deciding to “take a chance” and do it. A Hollywood example of the opposite, an impulse action in the exact same hostage scenario would be reflected by the pilot episode of the sci-fi tv drama “Firefly” the character “Mal,” upon seeing a typical hostage situation, shoots the bad guy and dumps his dead body off of his spaceship without a second’s pause or deliberation.
  1. Ultimate consequences vs. immediate consequences.
    Rules typically are the only thing that can shape long-term consequences of behavior. Without rules, we would not have mechanisms to control more long term consequences of behavior.
  1. Culture-bound vs. “natural” behavior
    Some cultures have different prompts and rules for different behaviors. Only prompts and behaviors that are universal regardless of culture are universally applicable. As the saying goes, “When in Rome, do as the Romans do.”
  1. Logical argument vs. Intuition
    Often people will solve a problem and not know consciously why their answer worked in that situation, just that it did. In many cases, this requires an examination of how the process occurred and why to determine new rules that help control use of the new method of dealing with the problem.
  1. Monotony vs. Variety.
    Rule-based behavior typically is more limited in scope and variety of solutions to a problem than purely contingency based solutions.
10 Concious vs. Unconcious
Often the purpose of a rule is to identify the antecedent's variables and stimuli that control a response.


  1. Knowing vs. Knowing How
    It is possible in many situations to have some knowledge of a subject but not know how to perform it oneself. A classic example of this is when in a Charles Schulz “Peanuts” comic strip, Charlie Brown, after teaching Snoopy to stand on his head is asked if he can do that. To this, he responds, “Those who can’t do, teach.”
    13. Reason Vs. Passion
    Pasteur is quoted as saying “the heart has reasons which reason cannot know”. This is indicative of the fact that often we have emotive or other causes for performing a behavior that our reason alone cannot completely explain. This leads us to the conclusion that rule-based governance of behavior cannot completely take into account the environmental contingencies that may cause a person to take a particular behavior into effect.
Note this is a "Summary" from chapter 4 my applied behavioral analysis textbook from a few years back with some "personal flavor" in the writing. No, I don't have the citation info handy. Yes, This is educational use. No, I do not "own" or claim any copyright on this content. Yes, if you are a high-powered lawyer representing the original publisher of said book, I will take this down. We cool?

Tuesday, January 20, 2015

An example of the pairing of cultural narratives, and math concepts, for better math education.

An example of the pairing of
cultural narratives,
and math concepts,
for better math education.


The concept that I illustrate with this drawing is how to remember which symbols, to use when drawing number lines, with varying types of notation. I can't even count how many elementary and intermediate student's I have used this drawing on in the last several years of tutoring. The great thing is that this technique for illustrating the principle is simple to use, and works with near complete success. I have not had a single student come back to me and tell me they forgot how this principle works after I show them this doodle.

Before I continue, I will mention that this is doodle is intended as a portfolio of some of the work I have done as a Professional Math Tutor. As I work in a public tutoring, lab, my use of certain copyrighted character's in my explanations of math concepts, is the very definition of 'fair, educational use' as allowed by and consistent with United States law. It is in that context that I use Velma, left, and Shaggy, right from 'Scooby Doo' in my doodle to explain how to use parenthesis, inequalities, and filled or closed dot's correctly when switching from number lines to interval notation



Jinkies! Zoinks!



After showing my student's this image, usually drawn on the spot on scrap paper, I usually start to explain how Velma on the left has a closed circle, for a eye, as typical of a closed dot on a number line, an inequality sign with a line under it for less than or equal to symbol, and a square bracket for a body for notation purposes. I than explain that Shaggy on the right, has an open eye for use on a number line, an inequality symbol for a mouth for use in notation, and a normal parenthesis for a body for use with notation. I give them a short paragraph about how Velma is a logical character, hence the “hard bracket” (she always wore that sweater, and doubted the ghosts were real) and Shaggy is a more rounded character (who was skinny and had a talking dog) After this explanation and doodle, I find my students as mentioned above understand how to use which kind of bracket and inequality sign after seeing a number line instantly. They can even draw the doodle themselves if they need a reminder, as the point of using Scooby-Doo is to attach a math concept to an incredibly fond childhood memory. It doesn't even have to be Shaggy and Velma. It used to be Mulder and Scully from the X-files, but I found them to be less well known to younger students, and hence less usable.

In addition to telling you that this doodle, works I can also tell you some of the research that has been done to why it works. Pavlov, and Skinner two of the most influential researchers of the past century have the answer here. The applicable concept here is Pairing, the concept that a existing, reinforcing stimuli (in Pavlov's case, food for dogs) is then paired with a neutral stimuli (in Pavlov's case, a bell) so that over time they are so closely associated with the subject that upon presentation of the neutral stimuli, the reinforcing stimuli is anticipated. (in Pavlov's case, the dogs drooled, on hearing the bell, as they knew they were going to eat soon before they saw their meal.)


With that background information in mind, this is my explanation for why the doodle works. I am pairing, a doodle that explains a math concept about number lines, simultaneously with a verbal description of me explaining the concept, and the student's own pleasant, internal memories of two widely beloved cartoon characters. As many have noted, from psychologists, to parents, to Mary Poppins have noted, “a spoonful of sugar helps the medicine go down” My using cultural narratives, as sugar, to teach math, which for many children and adults is as bitter as medicine, is one of my personal strengths as a one-on-one mathematics tutor. 

The best information is free

The best information is free

Many students, the world over, do not realize how easy more effective learning can be. As a student of learning, and having weeded my mind of many roadblocks, that inhibited my own learning, one of my conclusions, is that the best information is free. Free in the sense that it is easily available, and accessible in the situation at hand, and the use of one's own personal senses, paired with logic, is sufficient to clear most learning and personal roadblocks.

One of my favorite examples of this is math textbooks. I use them every day in my workplace. I almost always hate using them though, they are full of pretty pictures, big diagrams and paragraphs, that my algebra students find useless. My calculus students can barely read their book, and I don't blame them, I hate looking at that monstrosity, and I have had Calculus I-III with that book, and have been tutoring math for 6 years.

Just to be clear, I have a superpower-level reading level, I was tested to be at 12th grade, reading level in the 7th grade, I shudder to think what my comprehension level is currently. If I don't like these books, how can my less literate students, possibly get what they need from them? However since, it is my superpower, I do posses to teach my students some quick and dirty textbook survival tricks. Below is a summary of them.

First of all the index is my friend. Being able to look up where to find a concept from trigonometry to calculus to algebra is just handy. The appendix is great, and is in fact required for say statistics, with it's bell curve tables. The front and back covers of our calculus book are so useful, that given the choice between the book cover, and the contents of the book itself, I would rip the cover off, if it were my book and not the schools.

After all that then there are the chapters of the books themselves. While the blocks of text explain the concepts are worse than any stereo manual you have ever read, they well do explain it again in case you missed it in class. The sample, problems, while often useless to students are handy often enough for tutors and teacher types to use, often for the higher up courses. Luckily most mathbooks do make a nod to putting a large obvious sign of where the basic definitions are, and a few processes for important solutions.

Then comes the homework questions. A lot of books fall down here for students, as they barely explain what the student is to do, and even when the tutor or teacher can notice an obvious sense of progression and skill mastery in the text. The back of the book usually has half of the answers for questions there for normal chapters, and all of them for sample tests and review questions.

I find the chapter review to be amazing useful to show to students, because it allows them to find out what they don't know without reading the entire chapter. Often enough it is explained better there than in the chapter itself anyways.

So that's some of my thoughts on textbooks. I won't stop there though. Another of my academic superpowers, applies to test-taking. Both in terms of test anxiety, preparation, and performance, my skills are perhaps legendary.

In a recent class the majority of our grade was due to multiple-choice format. I have a 2 year engineering degree, multiple-choice tests are relaxing compared to what I've had to do for that coursework. I was literally flying through those tests.

The rest of the class however, was very much struggling with the same tests. First of all they didn't have my background, in academics, or my capabilities in logic. Many of them had test anxiety. Many of them also had a specific phobia about multiple-choice tests, the dreaded “it could be either b or c. I can't decide.”

The “it could be either, I can't decide” multiple-choice problem, and it's solution is well known to anyone who has prepped to take a big test like the SAT properly. Know how to eliminate the dumb answers, and you have better odds of getting the right ones. If you can get 10 problems that you have at 50:50 odds on a 20 question test where you know the other 10 are 100% right you should get at least a 75% would help a lot of those students.

I believe it is a combination of cultural training, lack of confidence, and not understanding that kind of math prevents many students from being able to apply that knowledge. That makes many students mull over individual problem's for longer than they should, when 'better odds' is more important than 'all the right answers' now in that format.

Furthermore often enough information required for the test, is often given in it. Occasionally true in short answer tests, but most common in multiple choice, tests often by intentional design by the instructor, to reward his good test takers, or to help his test takers with anxiety get a better score.

Fill in the blank definition sections, answers, that if true, answer questions in other parts of the test, or amazingly questions that give information on answers. All of these are intended to help 'jog the memory' of a nervous student who is unsure of what the answer is.

When all of those elements are present on test, and I have some knowledge of the subject, I can pass it without even knowing the material, often enough. Pass or fail, I could tell you with a high degree of accuracy after the test what I was going to get.

This personal ability of mine is non-subject dependent, as it is due to my mathematical and logical skills, not knowledge of the course material. I couldn't pass certain high level courses this way, but I can and have passed tests for low-level courses, for which I have little knowledge and perparation

This ability of mine, to see the world with my senses, and apply logic in it to do things that academically seem improbable, is actually common enough, in many fields of human endeavor.

Ask a poker player who is doing what at a poker table, and if he's any good at his job, he will tell you who is cheating, who is bluffing, and who is going to lose all of his money. A sportsman of an expert level can do the same to 'size up' people in his field just by looking at them. This analysis of experts in their field is part experience, part probability, part logic. And it works.


The fact that logic, experience, and a 'sense' of probability help in academics is for me beyond question. The fact that many students don't understand that their physical senses, coupled with these abilities, can help them succeed is one of the great tragedies of education. At the end of the day, academic or otherwise, those who succeed, do so because they tap into the knowledge around them, most of which, the best of which, happens to be free for the taking.

An example of how to save a math career, in 15 minutes of tutoring time.

An example of how to save a math career,
in 15 minutes of tutoring time.

I wish I was exaggerating on this one, but I have saved many a math career in 15 minutes of tutoring time. How it usually goes, is a student is doing some fairly ho-hum math calculations, and is frustrated as they are consistently and constantly getting the wrong answer. My response usually goes like this:

Me: I see you are having some trouble with getting the answers you need there. I have something I can show you that will help.
Student: Really? I mean I just don't get math.
Me: Well actually what I see here is your math concepts are fine. What is holding you back is your penmanship, copying steps from one to the next, general neatness and basic arithmetic going wrong.
Student: huh? What do you mean?
Me: I would start with the copying things right first. Slow down. Write down the problem neatly, then before you even try to solve it check the book to make sure you copied the numbers, letters and math symbols exactly right. Doing the wrong problem 4 times is always slower than doing the right problem once.
Student: Oh wow, that would be quicker. What was that about the copying steps?
Me: well once you do that for the original problem, make sure you leave room to do the whole problem on your page. I generally recommend single columns of problems, not crowding your paper, and checking to see if you copy the information from each line of the previous step correctly to the next.
Student: that's a lot of work.
Me: doing it wrong and failing the course is worse.
Student: I guess
Me: also make sure that your basic arithmetic is done right. If you have to use scrap paper do to things on the side before it hits your paper, do it. Think on paper, not in your head. I often find myself doing my own internal math wrong, and this is my day job.
Student: that would help too. Ok I guess I will try that.
Me: Keep at it. After I have met very few people who are actually bad at math. Your problem was just sloppy formatting, which I just taught you how to fix. Good luck, get lot's of practice at what I just showed you.
Students: thanks, I sure will!


Obviously the above is an idealized showroom example, most students have much more entertaing ways of responding to my suggestions! However, I have gone through this routine more times than I can count, usually with elementary and intermediate algebra students, (at my tutoring lab these courses are taught in college classes to replicate the same work usually done at the high school level). The thing here is too is that I don't other than that have a 'typical student' who needs this help. Many of my students come from NYC, coming to our campus because it is an excellent technical school with a wide variety of majors, and low price. However half of our student body, is commuter students from the local area. Unless I were to compile a long list of statistics, I couldn't say which group needed this more. Simply put it seems that a large proportion of all struggling algebra students need this talk, and they aren't getting it in high school. I have to wait for them to get to college, go to my workplace, and then I can save their math career in a simple 15 minute discussion. How I wish I could do something to fix that in a more systematic way than sheer chance!

Sunday, January 4, 2015

Math Vocab: Inductive and Deductive Reasoning.

Math Concepts: Inductive, and Deductive Reasoning, in a nutshell

In my many, many years as a professional math tutor, i noted one of the most common stumbling blocks of students, was that their textbooks were geared to "mathmatecian's mathmetecians" That is to say, unless you were already good at math and comfortable with the jargon, the book wasn't going to be much help. Most of my capability as the LEGENDARY math tutor of Suny Canton, was just being able to translate the book from "mathese" as one of my professor's used to put it, and into plain, simple english.

So as a public service, that I *ahem* used to get paid union wages for,

Here are some basic math concepts explained in common, easy to get language.

Inductive, and Deductive reasoning.

I'll start with this. Despite how SCARY Inductive, and Deductive reasoning may appear to sound in your math book, they are BOTH things that you already know how to do! You just don't know that the words, match with the skill you use them with.

For example, let's try this.

1,2,3,4,X,6,7.....

What would you say X is?

Yah, i know. You aren't a dummy. X is 5. Big surprise.

What you MIGHT be surprised by, is that you just used INDUCTIVE REASONING!

See, INDUCTIVE REASONING is just a big fancy terms for following a pattern, and choosing an answer by looking within, or "between" the parts of the problem, and making a "good guess" at it. English major's and students of Latin, may note that the Latin root "duc" meaning to "lead" combined with the prefix "in" means that we are using reasoning that is leading in the evidence given.

For everybody else, if your eyes glazed over in the above paragraph, just remember: Inductive Reasoning, is a big fancy word that means we are looking for a pattern IN the information, or evidence given, alone, and making a guess.

How about DEDUCTIVE REASONING THEN?

Must be really hard right? I mean that's what Sherlock Holmes did, and he was some kind of  genius!

Actually, Deduction is quite elementary, my dear students. is using GENERAL RULES, to PROVE a point. In other words, it's fairly basic procedural logic.

For example:

It's against the rules to hit people in the FACE at school.

People who are caught hitting people in the FACE at school, get detention.

Tom hit Sally in the face.

Therefore we can DEDUCE, using the "general rule",

That since Tom, hit SALLY, in the FACE, that if he is caught, he will get detention.

That's all there really is there to this one. Yet not understanding this, and other simple basic math vocabulary, is a major hindrance to math students everywhere. So, as a public service, I shall continue to dive through my old college math books, and explain more and more BASIC NEED TO KNOW CONCEPTS, that well, you shouldn't have to be a math nerd to understand. And in fact. Don't. Have fun!