THE BASIC MATH EVALUATOR and COURSE explained The math product I offer, Basic Math Evaluator and Course, is special to me. I was a Speech Improvement Teacher in a high school in the 1990’s. My students always failed a basic math course that was offered to them in place of the regular course. The way they were taught was degrading and ineffective. This hurt me because I was poor in math in high school in a similar way. I resolved to write a program with my new found BASIC programming skills. The staff of my school was cooperative and supportive. The program, as you see it, was the result of this effort. It can be used in a course. Problems can be presented so that several types of problem appear in a sequence. Students must recall how to do them again and again. Because they work individually, tutoring in place is possible. After a test, the program shows you a list of the skills you know and don't know based on your answers. We had great success with this approach. The program has been upgraded to work with BBC BASIC for Windows and has three variations of questions. The problem of images was cleaverly side stepped by presenting images as pictures, instead of being generated each time. With modern computers and the internet, it is now available to you! Thank-you TES, Thank-you Russell! (BBC BASIC creator). I hope you use it and it’s ideas will be adopted.

Pictures of simple math do now diagrams.

Adding numbers is an important skill. This program does this: Let’s you choose how many numbers to add from 2 to 25. Presents the number list vertically. Waits for you to add the numbers. Presents the answer when you press enter. You can change the length of the number list. I have included the BBC BASIC for WINDOWS CODE and a exe program to run on WINDOWS.

Do Some Bingo Cards Win More than Other Cards? - An Experiment There are theories that predict more winable bingo cards; namely Tippett and Grandville Theories. These seem like plausible theories made by respected mathematicians. This is an experiment to see if some cards win more often than other cards. I play bingo in a club. There are twenty to fifty players. I noticed that you must win in at least twenty five turns. I wrote a computer program to make bingo cards and play with them; this is easy for a computer which is very mathematical. I was able to play 1000 games a second with my home computer. I count the wins in less than 26 as a measure of quality. I play 1000 cards 1000 times each. I compare these cards to a master list with high scoring cards. I replace lower scoring cards with higher scoring cards. In this way, I get the highest scoring cards concentrated on a master list. Regular cards win about 80 times in 1000 tries. The master list boosted wins to 108 wins per 1000 games. I use a number seed to make cards so I can make a card again. What I did to see if cards win more was to use the master list cards to play again and see there winability then. I played 530 million games to make a master list of 1000 top winning cards. However; when I played with these top cards again, they proved to be no better than a randomly made card. This seems to indicate that all bingo cards have an equal chance of winning and no card is any better than any other card. In this product I include: the program, the master top scoring card list, the top scoring list when used again, more details about the program. If cards did show more winability, I would have pursued a reason for this - different last digits, average near the mean as the bingo theories indicate they should be like. My explanation to this project is this: A card may score very high by chance. That is, a card may win more times in 1000 trials by chance. Every 1000 cards, a few may excel by chance. It is like winning a lottery. If you win a lottery, than does not mean you are more likely to win another lottery again. You have an equal chance to win another lottery as anyone else. I am sure this is not the final word on this matter and some other thing may come up, but this is solid evidence against bingo theories. Paul Skittone 2023

THIS PRODUCT MAKES TWO BINGO CARDS, PLAYS BINGO, ANNOUNCES A WINNER, KEEP TRACK ON WHICH CARDS WINS, PLAYS AGAIN WITH THE SAME CARDS. BINGO IS A MATHEMATICAL GAME MANY STATISTICAL IDEAS CAN BE DEMONSTRATED WITH.

DO ALL BINGO CARDS HAVE THE SAME ODDS OF WINNING? A WAS TO SEE Bingo is a game of frustration. You get a card with 25 numbers on it; five to a row. The rows are picked from these ranges: ROW 1 1-15 ROW 2 16-30 ROW 3 31-45 ROW 4 46-60 ROW 5 61-75 Other people get cards too. Numbers are called out at random from 1 to 75. If one of your numbers is called, you cover it. You will if you’re the first one to have five numbers in a row, including diagonals; so there are twelve ways to win. My first reaction to this game was extreme boredom; then I got into it. If you believe in luck or somehow think you have a better card then it is interesting. Someone said to me there are lucky numbers that win more. There are at least two theories claiming some numbers or combinations of numbers win more. I was curious. I wrote a BASIC computer program to find the answer: Are there better BINGO cards than win more often? My BASIC program can play about 1000 games a second. I made random cards and played with them automatically. I found the number of times a card won in 1000 game trials before the 25th number was called. It seemed to me that, that is the number you usually have to win by to win. I saved the data for each card; amount of wins before the 25th number is called. I then used the same cards to run a second 1000 game trial for each card. I saved this data. I got an average for both lists; the average number it took cards to win. Then I compared the two lists, looking for consistency; that is in both trials, where card that were better in trial 1, better in trial 2. The final result of this was around 25% That is, cards that were better in trial 1 were also better in trial 2. This shows that cards have an equal chance of being better than average in two games trial of 1000 games each. 25% chance of these outcomes: in both trials a card was above average in both trials a card was below average in trial 1 a card was above average and in trial 2 below average in trial 2 a card was below average and in trial 1 below average CONCLUSION: Bingo cards have an equal change of being better at winning. DISCUSION: It is disappointing to find this result, but confirms the laws of statistics. If you just look at the list of wins, some cards do excel and sometimes they excel both times. However; overall, in 1000 games, this does not hold true. I think I will also test for extremely good cards. That is, do cards that are much better in one trial win more often in a second trial. THE END

How are your basic math skills? This product has sixteen tests to find out. It then gives your an evaluation of your skills. You can pick questions on these topics to improve your abilities.

THIS IS A NICE BOXING GAME. IT HAS THE COMPUTER CODE INCLUDED. INCREASE AGE 1 PER FIGHT STARTING AT 1. START FIGHTER NUMBERS AT 1. INCREASE BOXER NUMBER BY 1 FOR EACH NEW BOXER.

THE HORSE RACE GAME IS A RACE BETWEEN EIGHT HORSES. EACH HORSE HAS A DECK OF CARDS TO GIVE IT ABILITY TO MOVE FORWARD. AT THE END OF THE RACE, THE COMPUTER PICKS A WINNER, BASED ON HOW FAR AHEAD YOU ARE FROM THE WINNER; EVERYONE HAS A CHANCE TO WIN. STATISTICS ARE KEPT, RANKING THE HORSES. THEY AGE. YOU REPLACE HORSES THAT DON’T WIN; EVERY FEW RACES (I USE EVERY TEN RACES). THE COMPUTER DOES EVERYTHING. YOU JUST WATCH; FROM THE GRANDSTAND. THIS IS AN ADAPTATION; A DEMONSTRATION, OF THE TESTING MACHINE. THE TESTING MACHINE ALLOWS EIGHT STUDENTS TO ANSWER QUESTIONS TOGETHER. START WITH YEAR 1 AND USE THE YEAR YOU END WITH THE NEXT TIME YOU PLAY. SEE MY DISCUSSION OF THE RACE HORSE GAME ON TES "