Reflections of a Lifelong Teacher

Index
Important Concepts for Teachers and Parents
Flipping a Statistics Class Worked Well
Determining Who Passes a Standardized Test
Is My Poor Memory a Learning Disability?
Suggested Education Axioms and Postulates
The Perils of Teaching the Tough Stuff 
Academics vs. Educators
Difficult Concepts to Teach
The Normal Curve is Special
Nurses Taking My Statistics Class
The Cost of a Misdirected Education
Two B's or an A and a C, Which is Better
What to Teach, That is the Question
The Path Not Taken
A Sad Ending to My 35-Year Career


Important Concepts for Teachers and Parents

1. Much of behavior is learned.
2. Students respond well to adult disappointment.
3. Studies suggest personality is set by grade one.
4. Most physical and behavioral characteristics follow a normal distribution
with  most in the data in the middle and few at the extremes.
Extremes deserve special attention.
5. Increased activity often generates less value per unit.
For some people value per unit does not decrease. They can not get enough
 TV, socializing, reading, studying, video games,
religion, drinking, gambling ...
 

Difficult Concepts

1. Thinking on the margin example1
2. Multistep word problems
3. A double negative makes a positive
4. Unlike fractions
5. Decimals and percentages are similar
6. Debits and credits
7. Not being prejudice for

 

Determining Who Passes
a Standardized Education Test

1Kevin J. Clancy, chair and CEO of Copernicus, a global marketing consulting research firm  reports 
"...developed a statistical model to predict MCAS  (Massachusetts Comprehensive Assessment System) scores..."  at different schools based on these socioeconomic characteristics “ ... percentage of families that receive aid to dependent children; have two parents; are below the poverty line; are white; and hold a college bachelor’s degree or higher. What we learned is that how well children perform on MCAS scores has almost everything to do with parental socioeconomic backgrounds  and less to do with teachers, curricula, or what children learned in the classroom.”

1 Making more sense of MCAS scores, by Kevin J. Clancy, Boston Globe, April 24, 2000, page A19

This is old but have not seen data to the contrary.

Please  

The Normal Curve is Special

 

I followed most of the suggestions made by the consultant/coauthor Pam Cohen for our free Test-Prep Mathematics book.  Her suggestion we not use a normal curve as the model in the statistics section was not one of them. She felt the data was often not normally distributed and non-symmetrical data would be better. I felt the normal curve is one of the most important concepts to be taught and many students leaving school do not comprehend this importance

Life is about balance. There are few very tall people and a few very short people. Most are people are in the middle. A few people have aggressive alpha personalities and others have milk-toast docile personalities. A few have academic gifts while a few people have low mental ability.  A few are oversexed in relation to the middle and few could care less about sex. Most people are in the middle. Personal traits may not perfectly normal but they are close enough to help us understand our dynamic world.

It is very possible human characteristics become more variable as a society becomes wealthier and also the length of time increases between major sacrifices are asked of citizens. The positive extremes get more positive and the negative extremes get more negative. Some Normal distributions become skewed and a very few become bimodal. Do weight, bullying, income and satisfaction with government fall into this model? Others?

 

Flipping a Statistics Class Worked Well

Teaching Statistics to Open Evening College Students by Walter

 

Introduction: After years of traditional teaching to open enrollment college and junior college students, I switched to my now free then inexpensive programmed textbooks Quick Notes Statistics and Excel Statistics Lab Manual. With all the problems and their data sets written in Excel, many of the calculation-learning obstacles were removed. Many students were familiar with the text, as they had used the free Quick Notes Financial Accounting and/or the free Economics Interactive Class Notes with Links when teaching my other courses. These books were also concise two-page outlines per chapter followed by practice problems and complete solutions.

 

Methodology: Class 1 began with a 30-minute overview of material covered on the first on a disk take-home or in-the-lab computer exam. We then adjourned to the lab with some of the better students leaving to study the lectures on their own and do required works at their leisure while the others joined me in the Excel lab to calculate measures of central tendency. Lectures for a few nights were short previews as labs sessions with me and a few students helping with procedures. The class before the computerized test using Excel I conducted a comprehensive 30-minute review at which I again saw the better students and after the review, a few students were off to the lab to finish their computerized lab set due before the test. The test was on a disk and on the lab server. Tests for probability, hypothesis testing and correlation/regression followed the same procedures.

 

Result: 1) Being an honor system take-home or in lab computer exam resulted in the same grade distribution as for a traditional in class test where students did calculations. A large note card/cheat sheet was allowed.

 

2) Using computers, more material was easily covered with less work and anxiety.

 

3) Only the better students learned more, much more. Students for open enrollment college classes had for 35 years divided into four groups.

 

Group one learned central tendency but got lost on probability. They completed the course requirements but never really learned much. They passed with low grades because of my easy grading procedures.

 

Group two calculated some probability functions. Hypothesis testing was poor as they ran into trouble deciding which Excel menu procedure to use for each of the eight different problems on the take home/lab exam. I had warned them that over 35 years grades always went down with each tests and but many were still disappointed. Some of these adults worked really hard but having to choose between finite and normal distributions, large and small samples and then between one sample and two samples eventually led to mistakes.

 

Group three often got the statistic correct but then had difficulty determining to accept or reject the no change null hypothesis. All the studying in the world does not help because they had never really understood what hypothesis testing was all about.
 

Group four had one final hurdle to explain what the answer meant. They had correctly accepted or rejected the null hypothesis but what did it mean? They needed to write in the analysis section that the new procedure was faster or had less defects or the new diet was better/worse or else it was back to group three and a B grade. Less than six from a class of twenty-five got almost everything correct and got a 4 points on almost every problem. A very few indeed got everything correct. I used his system for about six classes before retiring in 2002.

 

Base on this experience I believe the computer will help the better students more than the average students and what computers do for below average has not been determines.

Nurses Taking My Statistic Class

A friend of mine was earning a nursing degree from a well-respected liberal arts college and fearing the possibility a very poor grade; she signed up to take statistics at one of my easier evening campuses that I managed for Franklin Pierce College. I agreed with her logic but the campus she planned to attend had a very demanding teacher and a low grade was possible so I suggested a campus change. She did and was pleased with the result. I questioned why a nursing student who was poor at mathematics was required to take statistics.

I often asked nurses who were visiting Franklin Pierce College why they were taking my evening statistics class. Many said their home school required statistics and evenings were convenient. Thinking that statistics really was not that important to being a nurse, I asked why it was required. Apparently, they had the same question and learned it was required for undergraduates because it was needed for a nursing master's degree dissertation. Well why not require it for graduate students and not as undergraduates.

 

Statistics is a good for those who are mathematically inclined but it is useless for those who were not so inclined. Take it, be miserable, finish, forget it. This also applies to business students. Knowing how much many of my students disliked statistics; I wanted the requirement removed. Make it an elective.

I found myself discussing this requirement with a woman possessing a doctorate degree in nursing and she insisted statistic was necessary for a master's degree and taking it as an undergraduate got it out of the way. We agreed to disagree but just before parting, I asked her for the topic of her doctorate dissertation.  Hearing the title I said, "that doesn't require statistics" and she replied, "I chose to do a non-quantitative dissertation."  Asked about her master's dissertation she said none had been required!

Why do academics set academic requirements that can only be reasonably accomplished and applied by the top students? To push wages up by limiting supply. Does it make them feel good about themselves by making nursing a \more difficult degree? I did it so you can do it! To get people with degrees those do not already have Statistics to take it and increase school revenue.

Would limiting it to students who like mathematics would mean statistics classes would be economically inefficient? Do they want to create a feeling of control? All of the Above?

 

Please  

e-mail antonw@ix.netcom.com with thoughts  and suggestions.

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Is My Poor Memory a Learning Disability?

Is My Poor Memory a Learning Disability?

I found elementary school academically difficult. Good grades in arithmetic, average grades in science and history, and poor grades in reading, spelling, and language. Reading aloud was my biggest worry and spelling a close second. I could not pronounce many of the words when reading to my group fourth grade group and hated the awkward seconds it took for a group member help. As for spelling, forget it. I always missed the first word and sat down. I wonder if just sitting while the game continued affected me. Thankfully, my 4th grade national reading comprehension scores were about two years above grade and I realized I might have been dumb, (as in verbally challenged), but I wasn't stupid.

A few years ago while trying to remember who sang the 1960's song "Down Town" I thought about the picture of the singer on my record album that I had played many times and Patella Clarks name popped into my head. I tried thinking of a picture when trying to remember another name and again it worked. Retired in my late fifties I have discovered a memory trick.

 

Memory had made my early school life difficult. Could memory training have helped? Hard work and a liking for history had gotten me B's and C's while my competition did little work and earned better grades. Hard work did not help in French 1. I had no chance. If there was any way to get a C grade and take French 2 and sit next to Patricia, the most beautiful girl in the world, I would have found a way. However, it was not to be!

 

 

The Cost of a Misdirected Education

My Keene State College 1990 Economics 101 class was given data showing that average college graduates make much more than high school graduates. They had seen it before. That is why most of them were in college. Then I showed them median income of college graduates. They were disappointed with the lower number. I explained how some high-income earners make the mean higher than the median. Then I showed them data indicating the bottom quarter of college graduates earned about the same income as high school's top-quarter. They became even more unsettled. Finally, I gave them the lowest income statistic of all, the bottom quarter for median income of those with just a bachelor's degree. There were no professional degree and doctors in this group. From the back of the room, I heard “you mean they are ripping us off.  No, I said, ”they are selling something many incorrectly feel is best for everyone.”

 

 

It took about twenty years but I pleased to report that because of the Great Recession mass media coverage of the decreasing economic return from a college education is no longer sporadic. However, like any unwelcome news, parents, teachers, and politicians will be the last to react properly. The collateral damage has been immense. We have lost an entire generation of young American black males. Now white males are committing suicide in ever-increasing numbers. Many live at home and do little but play video games. This will continue unless some responsible people in the mass/social media helps make an educational system that improves the well-being of all students. This is the collateral damage of our love affair with college. See Educating the Class of 2034

 

The Perils of Teaching
 the Tough Stuff

Teaching mathematics is arguably the most difficult task faced by teachers. Teaching me English was extremely difficult. The following incidents happened to me while teaching an adult evening statistics class. I was stressing the importance of drawing and then labeling a normal curve to determine the seventh decile when a primeval scream "I CAN'T DO IT' shattered the classroom.  I calmed the student down but he was right. The circuits were not there. This was not his fault.

For another student understood that 4x = 16 means if four x's add to 16, x = 4. Some students then cannot determine the value of x when 5x =25. About 25% just cannot do it.

 

While working with a class to work the kinks out of Test-Prep Mathematics
a student complained that I was trying to trick him.  I had accidently put a change a fraction to a percentage problem in the change a fraction to a decimal section of a problem set. I said I was sorry, that it was a mistake and then asked what is the answer? What is 1/4 as a percentage? He said I will have to work it out. I said just look at it and guess the answer. He said let me do it. He had not learned enough about mathematics in 12 plus years of school and even given my great free book Test-Prep Mathematics he still didn't intuitively know that 25% is one-quarter!

An important town official dropped my evening college accounting class because he just could not do debits and credit. He took it the next term from a teacher that did not teach debits and credits in our introductory accounting class. I taught said accounting class for forty plus years and did not learn the second teacher was correct. Debits and credits were not appropriate for a class of open enrollment business students. Some cannot do it. My class was a waste of a student's time. This is similar to Algebra for average student.

 


 

Two B’s or an A and a C,
That is the Question

 

 

Many years ago I began asking my evening adult college students which was better, two B's or an A and a C.  Almost all said 2 B's. Being well-rounded was their reason. Then I rephrased the question. You need a serious operation and must choose a doctor.  Do you choose a doctor with average in bedside manner and average in operating ability or one with a C in bedside manner and an A in operating ability? I'll take the famous Dr. House every time.

The IRS has questions about my tax return. I want the best tax accountant I can find and their auditing ability and personality mean nothing. NOTHING!

 

Here is how I learned this important lesson.

Teaching mathematics is arguably the most difficult task faced by teachers. Teaching me English was difficult. The following incidents happened to me while teaching an adult evening statistics class. I was stressing the importance of drawing and then labeling a normal curve to determine the seventh decile when a primeval scream "I CAN'T DO IT' shattered the classroom.  I calmed the student down but he was right. The circuits were not there. This was not his fault.

For another student understood that 4x = 16 means if four x's add to 16, x = 4. Some students then cannot determine the value of x when 5x =25. About 25% just cannot do it.

 

While working with a class to work the kinks out of Test-Prep Mathematics a student complained that I was trying to trick him when I had accidently put a change a fraction to a percentage problem in the change a fraction to a decimal section of a problem set.

 

He said let me do it. He had not learned enough about mathematics in 12 plus years of school and even given my great free book Test-Prep Mathematics he still didn't intuitively know that 25% is one-quarter!

An important town official dropped my evening college accounting class because he just could not do debits and credit. He took it the next term from a teacher that did not teach debits and credits in our introductory accounting class. I taught said accounting class for forty plus years and did not learn the second teacher was correct. Debits and credits were not appropriate for a class of open enrollment business students. Some cannot do it. My class was a waste of a student's time. This is similar to Algebra for average student.

 

A young lady in my statistics class heard this example and at the break she thanked me as she had been told her poor math ability made her very average and being very good at English was not good enough. She also said page two of the Quick Notes Philosophy at the front of her workbook I had provided made her feel much better. Sacrificing self-confidence to make someone a little better at anything is one of the biggest mistake of our generation. See Leaders Educational Advise

Proposed Education Axioms and Postulates

Will Stagnate Median Income Hurt Our Children?

Please  

Academics
Versus
Educators

Academics are scholarly. Pure knowledge in their area of expertise is of prime importance. Educational academics often begin by teaching their specialty. Some become department heads and determine curriculum content and academic standards.

Educators enjoy the classroom environment and seeing someone learn important economic and personally useful material.

  Educators enjoy the classroom environment and seeing someone learn important economically important and personally useful material.

Educators believe intelligence is normally distributed. They get discouraged when teaching a curriculum designed by academics because said curriculum is often beyond the grasp of academically average students. 

Textbook content is controlled by academics who are influenced  by  their prejudice toward the purely academic and publishers who are concerned with profit.

What to Teach, That is the Question

Quick Notes Statistics began as class handouts for a day class I was teaching to traditional Franklin Pierce College students. The math department chair noticed I was teaching the expected value of x and mentioned skipping it as being not important. Not interested in collateral damage, I said nothing but felt what was important should be determined by student needs. Since many were business majors, the E(x) was important. She like many mathematicians stressed the counting rules and other theoretical probability concepts. I didn't because the population at schools like Franklin Pierce consist of mostly of "Middle Prepared Students" who not do not need theoretical probability; most had average mathematically ability and had little use for difficult mathematical concepts. She later became very interested in the stock market where she used decision theory based upon E(x) to trade on the Internet

       
Thinking on the Margin1

 

Two-person golf teams A and B play an 18 hole golf contest in which the team having the least strokes to complete a hole wins the hole. Ties are ignored. When falling two holes behind a press is created. It is an additional match for the remaining holes. After 12 holes Team B leads by two, they are two-up. Team A presses. After 16 holes team B is down three on the first match. Which team leads the press? It is amazing how many golfers do not know the answers.  Lawyers! Business Owners! If the first is two down then the additional match is one down.

 

 

 

THE PATH NOT TAKEN

 

Your knowledge mind will always try to capture and control the awareness path.  This defeats the purpose, and letting go of control is the hardest thing we knowledge based people can do.  Secondly, it is an interesting practice to read the Bible, Zen, or any books on consciousness and see if you can read it as “not knowledge”.   See if you can read the sayings of Jesus and hear it as not a set of words to live by, but a pointing to getting out of your knowledge and into your awareness.

 

Tom Lane 7/11/06.  

 

 

 

 

 

 

 

 

 


A Sad Ending to My 35-Year Career
 

Looking back, I taught a few poor classes. I taught many subjects and the first time is always difficult. Once I had a major problem. One of the adult students who knew more about investments than I did made sure everyone in the room knew it. It was a long eight weeks.

Another time I inadvertently talked down to a class. After a few classes, I knew something was wrong and asked the class. They pointed out my indiscretion but it was too late. It was another long eight weeks.

My last class was my worst. I had worked hard to use the Internet in a 2002 statistics class. A student who possessed enough Geekability to help with her career advancement saved me. Another student in the class really annoyed me after the first test with his open desire for a higher grade. It continued after tests two and test three. I was so upset that I did not award many A grades. The student who had helped me was so upset with her grade that she quit school.

This was the first I was aware one of my actions  had caused a student to quit school. That is the Cardinal Sin for adult learner teachers. When an adult learner quits because of your teaching it is time to do something else. Thanks!  Walter Antoniotti