### Lesson Details

### Geometry

- Levels Taught:
- Elementary, Middle School, High School, College

### Ahmed teaches

### About

- Teaches students:
- Ages 5+
- Teaching since:
- 2010

I do not see teaching as simply repeating what has been already detailed in text books and lectures. Everyone’s mind is different and thus everyone has a unique perception to understanding one issue or another. Things are better illustrated with an example.

A while back, there was a television show hosted by a T.V. personality named Monty Hall. In the show, Monty presented a contestant with 3 closed doors. Behind one door was a new car. And behind each of the other two doors was a goat. The contestant had the option to choose one door so as to win the new car.

The probability that a car was behind door 1 or door 2 or door 3 was the same, about 33.33%. Let us say that the contestant picked door 1. Monty would then open one of the other two doors that were not chosen by the contestant. There were 3 terms in the game: 1) Monty knew what was behind each door; 2) Monty cannot open the door that was already chosen by the contestant; 3) Monty would only open a door that hides a goat.

Let us say Monty opened door 3 revealing a goat. Monty then asked the contestant if the contestant would like to switch to door 2 or keep his original choice of door 1. Contestants would be bewildered not knowing really what to do. Was it better to keep the originally choice or was it better to switch or it would make no difference whether to keep the original choice or switch?

Meet Marilyn vos Savant. Marilyn wrote a column called “Ask Marilyn” in a newspaper called Parade. Marilyn was known for having one of the highest recorded IQ. A reader sent Marilyn a letter asking her if it was better to switch or not to switch. Marilyn stated in her column that a contestant should switch since switching doubled the contestant’s chances of winning. Many of Marilyn’s readers erupted in protest including readers with Ph.D., mathematicians, and academicians. Most people believed that the probability that a car was behind door 1 or door 2 was the same of 50%.

This became known as The Monty Hall Problem or The Monty Hall Paradox. Articles and books were written over this problem. Actually Marilyn was right and this was proven using computer simulation. Yet until today many people cannot understand that switching doubles the chances of winning.

At first glance this paradox might seem irrelevant to teaching. But I think it does. This paradox tutor the mind in the subject of structured thinking which is very important in learning.

#### Experience

##### PROGRAMMER ANALYST

Jan 1990 - PresentI am a programmer analyst. I have an IT sole proprietary home office business called Link. Link deals with the design of computer software including programming analysis, databases, and data analysis. Link applies mathematical modeling that relates to computer software. This includes One-Dimensional Databases; Multi-Dimensional Databases; MS Works; MS Access, DataStage; Data Science; Data Structuring; Data Management; Data Compression; Data Arranging; Data Search; Extracting Data; Big Data; Spatial Data, Data Integrity; Data Anomaly; Utilizing SQL in Data Science; Data Correction; Applications of the Theory of Probability to Data; Bayesian Data Analysis; Application of Monty Hall Paradox to Raw Data; Data Storage; Data Control; Blocking Bad Data; Importing & Exporting Data; Creating Live Data; Complex Data Problems; Mutually Inclusive & Mutually Exclusive Data; Data Wrangling; Data Pattern Identification; Descriptive & Predictive Data; Data Security; Data Visualization; Structured & Unstructured & Semi-Structured Data; Data-Driven Products & Services; Data Theory & Application; Machine Learning in Data.

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