Abacus – Explanation, Types, Uses, and FAQs
What is abacus explain : About 3000 years before the birth of Jesus Christ, the Babylonians made a machine called the abacus to calculate. Abacus is a very simple calculator. The word abacus is derived from the Hebrew word abaca, which means dust or sand. It is made of a rectangular structure made of wood. The structure is again divided horizontally by a cross bar. The upper part is relatively small and the lower part is relatively large. Several bars are placed vertically while maintaining the same distance in both parts of the structure. The vertical bar on the top has one or two and the vertical bar on the bottom has five.
Although first introduced in Babylon, the abacus was widely used in China. At one time abacus simply meant Chinese abacus. In China, however, the abacus was called (Suan Pan). Later the Greeks and Romans learned to use the abacus from him. The abacus later became known as (soroban) in Japan and (s’choty) in Russia. The main feature of Chinese Suan Pan is that it consists of 7 pods. The middle bar of the abacus has 2 on the top and 5 on the bottom.
The highest value is 5 and the lowest value is 1. The 2 beads above the middle strip are called heaven or the 5 beads below are called earth. During counting these beads are moved closer to the middle bar. Addition and subtraction can be done very easily with this machine.
On the other hand, the Japanese saroban has a 1 at the top of the bar and a 5 at the bottom. The Japanese Soroban Russian Scotia surprisingly has no crossbars. As a result, it is notably different from the other two types of abacus. It consists of 10 pieces.
The pieces of the abacus are marked from right to left sequentially as units, tens, hundredths, thousands, hundreds, thousands and hundreds. The calculations are done by operating these cells following specific rules. An experienced abacus user can calculate much faster than modern digital calculators. Many people call it a semimechanical calculator.
The use of abacus is not seen anywhere today. However, it is known that some people in rural areas of China still use abacus to do their calculations. However, there is no precedent for widespread use of the abacus elsewhere in the world, although some do use it gracefully. The most interesting thing is that even today in China, Japan and Taiwan a competition on the use of abacus is held every year. Abacus users from different countries of the world participated in this contest.


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Art and history teachers aren’t the only ones who can use educational travel as a way to immerse their students in a particular subject area. Educational trips can be a fun and useful way to incorporate STEM into the lesson plan. Here are some great ways travel can help students fall in love with science, technology, engineering, and math.
Experienced teachers know that the key to getting students excited about learning is to do it in a way that is interactive, exciting and relatable. And what is more interactive, exciting and relatable than traveling? Every step of the trip, from the planning and budgeting to the actual travel processes and exploring the new place can offer opportunities for students to experience STEM learning first hand.
STEM and Planning
The more involved your students are in the planning of the trip, the more invested they will be in the entire process. Your class will probably rely heavily on technology to plan their journey, but how did travelers do it before the Internet and smartphones? An in-depth look at how technology has helped travelers prepare their adventures is just one way to incorporate STEM into the planning part of the trip. A lesson focused on predicted weather patterns for the duration of the trip is one way to make science part of the planning, and working on time management and creating a schedule can get their math brains working. There is so much STEM-focused learning that can be done before your class even leaves the classroom.
STEM and Budgeting
A huge part of educational travel is finding the money to make it happen. There are countless ways to get students involved in the math behind raising the money to travel. From understanding foreign currency and exchange rates to averaging costs of admission to museums, accommodations, and food, getting students involved in the financial part of the trip will not only improve their math skills but will give them a better appreciation of what it costs to make an unforgettable trip happen.
STEM and Traveling
So much real life learning happens when a class travels together. Regardless of how you’re getting from point A to point B, there will be plenty of ways to incorporate engineering, technology, and math into your travel plans. Air travel means understanding how the design of an airplane affects the speed, the high-tech features that keeps the plane in the air, learning to calculate distance and speed, and much more. Even digging deep into the math that goes into flight schedules and travel times will bring STEM to life for students. Traveling by car, train, bus, or boat means giving students unique opportunities to see how STEM learning impacts their travel plans.
Top STEM Destinations
Nothing says science and technology like a visit to the Space Needle, The Museum of Flight or the Pacific Science Center. Seattle is a busy city of incredible architecture, innovative technology, and futuristic design. Along with its incredible food and thriving music scene, the Emerald City immerses students in a modern city with opportunities to explore math and science around every corner.
When you think of a class trip to Chicago, you may think of the rich history and culture that makes the city such a memorable and educational place. And while students will be surrounded with educational opportunities as they browse Chicago’s many gardens, galleries, and public parks, they’ll also have many chances to use math and science in the Windy City. From the top of the city’s most famous landmark, the historic water tower, there are lessons in architecture, history, engineering and technology that will stay with students forever.
From the California Academy of Science and The Mission Science Workshop, SanFran will quickly prove itself as so much more than a tourist destination and home to the Golden Gate Bridge. Students can pack their days exploring educational landmarks that spark their curiosity in math, science, and technology. San Francisco is home to some of the world’s leading technology companies, and future engineers will have a field day analyzing one of America’s most famous bridges.
The Big Apple is not only a social experience that many people only dream about, but it’s a mecca of math, science, engineering, and technology that serves as a learning lab for eager students. From the towering skyscrapers, 80+ museums, and its reputation as the financial capital of the world, New York City allows students to expand their worldview while diving deeper into the fundamentals of STEM. Even everyday aspects of NYC living like using public transportation, navigating the city using technology, and reading a subway map will encourage students to sharpen their math, science, and technology skills.
While educational travel is an excellent way to experience language, culture, art, and history, it is also crucial in exposing students to science, math, engineering, and technology. Traveling has this unique way of combining education with real-world social experiences. Whether you are traveling abroad or just heading to the next state over, giving your students the gift of educational travel will help them become better learners and better people. Understanding how many of the STEM principles they’ve covered in class impacts their actual life is what creates those “ah-ha” moments that teachers live for.
You don’t have to intentionally plan to incorporate STEM into every aspect of your trip either. Math, science, engineering, and technology will naturally show up in your trip because they show up naturally in everyday life. Traveling is a real-world way to foster your students’ love for learning and incorporate STEM-focused ideas into a trip they’ll never forget.
By Diane Eastman


Frames in Relative Movement
by Ricardo L. Carezani
Let us examine two parallel frames of coordinates x, y, z, t and x’, y’, z’, t’. Frame F is moving with relative velocity v with respect to frame F ‘. Using the Galilean transformation, the abscissa x of point P in F is given in the above figure by
x’ = x + vt
y’ = y
z’ = z
t’ = t (1)
The velocity of P observed by frame F’ is
v’ = v (2)
Introducing a third frame of reference F ” with respect to which frame F is moving with relative velocity v1, the abscissa of P in F ” is
x” = x’ + vt
x” = x + v t + v1 t = x + (v + v1) t (3)
We are using three coordinate reference frames, F, F ‘, and F ”, and we shall try to demonstrate that two of them are useless, inoperative, and superfluous by doing the following analysis.
First: It is impossible to measure the abscissa of P in F from F’ independently of the relative velocity v, supposing that P is moving with velocity -v with respect to F, because P will be at rest with respect to F’, and, in this particular case, F’ is useless because it cannot observe a phenomenon at P.
Second: We can also suppose that P is moving within F with relative velocity vx, or with a relative velocity u with respect to F’, because no one in F ‘ could distinguish the velocity vx from v, even though F’ receives signals from P and they are transmitted to F’, the observer in F’ will measure the relative velocity u, because if the frame F first transmits v and then v+vx, the observer in F ‘ will only think that the relative velocity v increases until u. It would be easier for the observer in F ‘ to receive directly the signals from P. So, the reference frame F is unnecessary.
It is formally possible to demonstrate that either the frame F ” or F is useless and inoperative, as follows.
The velocity of the point P moving in F with velocity vx, measured from F’ is
v’ = vx + v (4)
x being the coordinate of P in F when t=0, its coordinate at a later time t will be
x1 = x + vx t (5)
Its coordinate in F’ is
x’ = x1 + v t
x’ = x + vx t + v t = x + (vx + v) t (6)
The equations (6) and (3) are totally equivalent. Is it not the same to say that P moves with respect to F with relative velocity vx, giving equation (6), as to say that P moves with respect to F’ with relative velocity v, giving equation (3)?
But equation (6) results only in applying “two systems of reference”, F and F’; F” then is not operative, and is useless. Equation (3) is obtained by applying “three systems of reference” but the point P is at rest in F, v’ = v, and consequently frame F is useless, and inoperative.
If point P is moving together with F, and observer in F will never observe a phenomenon at P; that is to say, it is impossible to make the auto-observation of point P.
Even so, we may insist upon the following: Can velocity vx and v be distinguished from each other while we are observing the physical phenomenon. No. In each phenomenon there exists the phenomenon itself and the observer. The relativity of space and time is given by light speed, which is constant or, at least, has a finite value. Can we divide space in such a manner as to have an arbitrary quantity of reference frames?. A physical phenomenon naturally presupposes two objects: the observer and the object under observation. If the process is relative – and really it is – it should be to both, always due to their mutual interaction.
Consequently we shall define as a “physical; system” one that consists of a moving point P (the observed) and a “reference frame of coordinates” (the observer). A brief, formal and complete exposition is the following (1).
Let us consider three parallel frames F, F’ F”, their origins coincident at instant t=0, and point P of abscissa x on F. If F moves relative to F’ with velocity v and F’ in respect to F” with velocity v1, the coordinate of P on F” is
x” = x’ + v1 t
x” = x + (v1 + v) t (7)
During this exposition we have presumed a relation of P with F even though P is at rest with respect to F. This, in our point of view, is not logical due to the fact that self observation of a point is absolutely impossible. In other words, with point P and a geometrical system F linked to it, we have no physics whatsoever. We need another system, one not linked to P, (and which we may individualize by its origin) in which we place an observer describing the physical alternatives which P is undergoing. In this case, frame F is superfluous.
Equation (7) maintains its value if we suppose that at time t=0, the point passes the origin of F”. To make it easier, we shall run up the primed values in the following manner: F’ shall be F, and F” will be F’, v is the velocity of P with respect to F, v1 the velocity of F with respect to F’ therefore (7) shall read”
x’ = x + v1 t
x’ = (v1 + v) t (8)
which is equal to (7) when we only consider two systems. The preceding analysis of the systems in relative movement leads to the following definition: a physical system consists of two points in relative movement, P and F or the origin of F. Up until now this has been known as a system F on one side, and point P at rest on the other. This new concept or conclusion will be used to analyze what happens in special relativity.


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February 7 @ 9:00 am - 3:00 pm
This course is designed to develop quantitative research skills with practical applications in social science contexts. It will focus on key topics such as the analysis of ordinary least squares (OLS), methods for estimating bivariate and multivariate regression models, assessing the overall goodness of model fit, and hypothesis and diagnostic tests. Participants will also receive insights into research design, data management, statistical analysis, and interpreting research outcomes.


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Teachers will find online graph makers a great resource. You’ve probably made a graph using Google Sheets or Microsoft Excel. It can be frustrating and time-consuming, so it’s easy to quit graphs.
Online graphing platforms have solved this problem by allowing teachers the ability to use their touch screen devices or computer mouse to create graphs. They don’t need to worry about formatting the data. All that time spent making graphs can now be used to teach instead.
Here are 9 reasons online graphs are better that Google Sheets or Microsoft Excel.
1. They don’t make you calculate data first.
You’ve probably created graphs in Office Suite. Before you can graph it, you need to calculate all the data. Online graphing software allows you to use a spreadsheet to organize all your data, and then link it to the graph maker. This saves you time and eliminates any wasted time.
You can even add multiple spreadsheets to a program at once. This means you won’t have to spend as much time gathering data from different sources.
2. They can be used for social studies.
Graph makers can be a great way for students to see data visually while still respecting their autonomy. You need to make math lessons fun for kids.
Graphing is a visual way to show your lesson visually that encourages students to do better.
You can create graphs using geographical data, which is great for social studies lessons. An online graph maker can help you create beautiful charts that show migration patterns, population density maps and climatic trends.
3. Data are organized.
One of the most difficult parts of using spreadsheets to create graphs is keeping data organized. This can often lead to complicated workarounds that are difficult to remember. You can convert your spreadsheet into pie charts or bar graphs with a free graph maker in a matter of minutes.
4. They support affordable pricing
An online graph maker is a great option if you have a tight budget. Many offer affordable monthly and yearly pricing. They also offer free services for those who don’t want to subscribe.
5. They can help you teach better.
A graph’s purpose is to display patterns. Your students will learn more about the topic and see the same patterns when you use graphs to teach them. But not all students learn in the same way. Some may not be able see the whole picture.
6. They can be used for different subjects.
Graphs can be used in almost every subject. Graphs can be used to teach social studies and science in addition to math. This will allow you to be more flexible and can help you work on other subjects without having to change your teaching style. Here are some Venngage graph examples to give you an idea.


Dusk years and earth years are very much not the same. Earth has 365(ish) days per year, and 24 hours per day. Dusk has 27 hours per day, and 243 days per year (both decimal, it's 30 and 300 days respectively in nonary). Further complicating matters, Dusk's most common number structure is nonary, so when they say "the year is 1120AV", they really mean the year is 828, and those 828 years were only 6,561 hours long compared to our 8,760 (so in reality, it's been ~620 Earth years since 0AV). The following is a calculator to convert ages between the two timekeeping systems.
For more information, see Time and Timekeeping.
This calculator assumes the current year is 1120AV on Dusk.


Is sudoku suitable for kids?
Sudoku can be good for kids! It can help them develop their problem-solving skills and logical thinking. Sudoku is a number puzzle that requires players to fill in a grid so that each row, column, and region contains all of the numbers from 1 to 9. This can be a fun and challenging activity for kids to do on their own or with a group. It can also be a good way for kids to practice math skills, such as counting and arithmetic. However, it's important to keep in mind that sudoku is not appropriate for all kids, and you should consider your child's age, ability level, and interests before introducing it to them.
What children age is appropriate for kids?
Sudoku is generally suitable for kids ages 8 and up. However, the appropriate age can vary depending on the individual child. Some kids may be able to start playing sudoku at a younger age, while others may not be ready until they are older. It's important to consider your child's ability level, interests, and maturity when deciding whether sudoku is appropriate for them.
If your child is younger than 8 and you're interested in introducing them to logic puzzles, there are many other types of puzzles that may be more suitable. For example, you could try puzzles that involve matching shapes or colors, or puzzles that have simple rules and allow for more creative solutions. These types of puzzles can help kids develop their problem-solving skills and logical thinking in a more age-appropriate way.
Here are a few ideas for making sudoku enjoyable for kids:
Start with easy puzzles: Begin with puzzles that have more numbers already filled in, so kids can focus on developing their problem-solving skills without getting frustrated.
Use colored pencils or markers: Kids can have fun using different colors to help them solve the puzzle and make it more visually appealing.
Play as a group: Kids can work on a sudoku puzzle together, taking turns filling in squares and discussing strategies. This can be a fun social activity.
Use sudoku apps or websites: There are many digital versions of sudoku that come with interactive tutorials and other fun features, such as hints or daily challenges.
Make it a game: Kids can compete to see who can solve a puzzle the fastest, or you can set up a point system where they earn points for each puzzle they complete.
Use sudoku as a reward: Consider using sudoku as a reward for kids who have completed their homework or other responsibilities. This can make it feel like a special activity.
Encourage kids to take breaks: Solving sudoku puzzles can be mentally challenging, so it's important to encourage kids to take breaks and do other activities as well.
What skill can kids develop while playing sudoku?
Sudoku can help kids develop a number of important skills, including:
Problem-solving skills: Sudoku requires players to think logically and systematically in order to fill in the grid. This can help kids learn how to break a problem down into smaller parts and come up with a plan to solve it.
Logical thinking: Sudoku requires players to use logic and reasoning to deduce which numbers can go in which squares. This can help kids develop their critical thinking skills.
Attention to detail: Sudoku requires players to be very careful and pay attention to the rules of the game in order to succeed. This can help kids improve their focus and attention to detail.
Math skills: Kids can practice basic math skills, such as counting and arithmetic, while playing sudoku.
Persistence: Solving a sudoku puzzle can be challenging, and kids may need to try multiple approaches before finding a solution. This can help them learn persistence and the importance of not giving up.
Overall, sudoku can be a fun and enjoyable activity that helps kids develop a range of important skills.


Choosing Between Blackjack, Craps, Roulette, And Online Casinos
When a lot of people think of casino action, they picture games like poker, craps, blackjack, or roulette. However, you can find a huge selection of different casino game types that may be played in casinos all around the world. There are also a variety of variations on these same games. All types of casino game play involve a minumum of one person betting or folding their money to some other person so as to win.
Two of the most popular casino game types are bingo and keno. Both games use a random number generator to be able to assign possible numbers to the cards which are dealt. In a bingo game, people will place a bet on the 넷마블 바카라 number of cards dealt that will turn out. Once all the cards have already been dealt, the players will add up the exact totals that were paid out, and the player with the highest total wins. For keno, players will select a number from the hat, called the house edge, and bet using the numbers that are on the cards that are organized before them.
Blackjack and roulette are two of the most used slots games obtainable in most casinos. Blackjack is really a card game that involves a new player winning or paying off amounts of money by dealing cards with their opponents. Roulette is a gambling game in which the spin of a wheel can be used to decide whether a candidate has won or lost. Most casinos offer both of these games for customers to pick from. The best way to learn which casino game is best for you as well as your guests is to talk with a dealer.
Many online casinos offer customers the option of playing free casino games online. Some software companies took it upon themselves to generate software that allows players to play free casino games online. These software companies earn money by selling these games to casinos around the world. Software companies need to make money in order to purchase the computer servers along with other costs that go with running an online casino.
A straightforward game like roulette, blackjack or poker can be thought of as a kind of statistics. This is because all of the possible outcomes are a matter of probability. A random number generator or perhaps a computer program will take n random numbers, (the basis for choosing the cards in the deck) and then generate the probabilities of each of these outcomes. The resulting numbers will be used to pick a card or a band of cards. The casino game then makes a selection from this group of cards to put their bets.
Standard deviation is just among the standard deviations. It represents the average value over many trials of confirmed sample. A binomial distribution can be used in standard deviation because it takes the log-normal distribution into consideration. The standard deviation gives a more accurate representation of the underlying distribution, because it takes into account the non-linearity of the distribution. Standard deviations and binomial distributions are both used in standard deviation calculations so they can be used to represent the likelihood of a typical deviation.
There are also many casino game variations which you can use to increase the probability of hitting more cards at a higher rate than any player. For instance, progressive slots have high jackpot payouts as the likelihood of hitting an individual jackpot ball is much higher than the probability of hitting one or more small jackpots. Slots that use a random number generator or an online casino computer software called a Monte Carlo simulation can easily give rise to different casino game variations. All of the random variables in the simulation can cause a casino to change the payouts in different ways. For the reason that the simulator randomly puts casino staff into different positions and allows them to take an informed guess on how much the slot machine will pay out next.
In conclusion, casinos use blackjack, craps, roulette, slots, and live dealer games to provide players with a number of entertainment options. In addition they use these games as a way to entice people into the casino by offering the best payout outs for their bets. Blackjack, craps, roulette, slots, and online casino gambling are all designed to provide player entertainment opportunities concurrently. The question for you is, which one do you want to choose?


Table of Contents
How much is 15 per cent of 75?
15 Percent Of 75 – 15% of 75 equals 11.25, If 100% equals 75 so 15% is equal to 11.25. I gave you the answer immediately, but it would be good to learn the procedure to solve with other numbers.
How Do You Find The Percent?
Let’s start again:
How much is 15% of 75?
To solve it, the simple rule of three can be applied.
The question tells us that the number 75 is 100%. So we would have to divide by 100 to find 1%, then multiply by 15 to see 15%.
What I explain to you is the same as applying the following formula:
R = (75 x 15 ) / 100
Another way to find the per cent is using the following calculator:
How to Calculator To Percentages
What is 15 per cent of 75?
Using this percentage calculator, it is possible to make a percentage count in three ways. So, we think you found us looking for answers to questions like these: 1) What is 15% of 75? 2) 11.25 is how many per cent of 75? Or maybe: What is 15 per cent of 75?
Let’s see how we can calculate this: What is 15 per cent of 75?
We want to know the answer to this question: What is 15 per cent of 75? Here we see step by period how to catch out. This percentage calculation is most commonly used when calculating the tip, for example, in a restaurant.
- We use the following formula: Percentage of a value percentage of a value = X⋅P%X⋅P%
What Is Percentage?
The percentage is the way to express a number as a fraction whose denominator is the number 100, also known as a percentage. It is also a symbol that means a fraction of a hundred, and its symbol is %, which is read as much as a per cent.
Method That Calculates The Percentage Generally?
To calculate the percentage of a number, we must take that number and multiply it by the individual rate and divide it by 100.
For example, if we have 130 students in an educational entity and we want to calculate 12% of that group, we must multiply 130*12/100=15.6.
The formula can be summarized as follows:
a% of N= and/100
On the other hand, if we seek to calculate the percentage between two figures, we must divide the smaller by, the more extensive and multiply by one hundred. If we have 200 people and want to know what percentage a sample of 30 people from that group is equivalent to, we must proceed as follows: 30/200*100=15%. Thus, we conclude that the selection is 15% of the 200 people.
The formula would be the following, where n is the smallest number and m is the largest:
Example Of Percentagesf
Percentages are useful in everyday life, for example, when calculating taxes. Suppose that the value-added tax is equivalent to 18% and the sale value is 420 euros. So, the amount of tax to pay would be:
Similarly, the offers, discounts or promotions we see in stores are usually expressed in percentages.
Another utility of percentages is comparison. For example, suppose we want to evaluate a country’s illiteracy level. In that case, it is not enough to calculate the absolute value, but rather the percentage concerning the total population and parallel it with other nations. It is not the same that there are 300 thousand illiterates in a country of 10 million inhabitants as in a country where 30 million people live. In the first case, illiteracy would be 3% (300,000/10,000,000*100), while in the second case it would be 1% (300,000/30,000,000*100).
Voluminous Curly Hair – About, Types Of Curl, Volume To Curly Hair, And More
About Voluminous Curly Hair – Men and women with fine hair want to have voluminous, attractive, denser hair. However, they…
Wellness Sanctuary – About, Transform, Personal Wellness Sanctuary, And More
About Wellness Sanctuary – Ritual “Is turning an ordinary moment into an extraordinary or sacred moment. Beyond connecting with a…


A detrended series that oscilates around zero is obtained after first differencing a time series (i.e. subtracting the closing price for a candle from the one immediately before, for example). Hypothetically, assuming that every detrended closing price is independent of each other (what might not be true!), these values will follow a normal distribution with mean...
The Normalizer adds an indicator to your chart with the option to view regular Volume, normalized Volume or normalized price.
Normalized Volume divides the current Volume bar into a moving average and multiplies by 100. The resulting plot is a histogram showing how far above or below the moving average that volume bar was.
Normalized Price does the exact same...
Normalized version of Quantitative Qualitative Estimation QQE:
Normalized QQE tries to overcome the problems of false signals due to RSI divergences on the original QQE indicator.
The main purpose is to determine and ride the trend as...
RSI indicator with Bollinger Bands in one. Forgot oversold and overbought!
With BB and RSI you can dinamically saw when RSI is in critical values. And when you can see figure 'M' or 'W' in oscillator it means that current movement of impulse is down.
RSI и Ленты Боллинджера в одном. Забудьте о тупых линиях перекупленности и перепроданности!
This is a scaled Normalized Vector Strategy with a Karobein Oscillator
Original: Drkhodakarami (www.tradingview.com)
Repainting: in general there two types of repainting:
* when the last candle is constantly being redrawn
* when the indicator draws a different configuration after it has been deactivated/reactivated, i.e. refreshed....
It can be interesting to have an indicator displaying two rescaled measures, thus ending with an indicator that allow the creation of more complex trading rules (conditions), this is what is intended with the price/volume normalized oscillator (PVNO) who normalize both volume and price in order to display them together.
Volume is considered an important factor as...
An idea I had today morning so I had to write. It seems to detect trends well. It has three phases like a semaphor, painting the chart bars of green, yellow or red.
=== Bar Color Meaning ===
Yellow: don't care
I think it can be useful!
Chiki-Poki BFXLS Longs vs Shorts Absolute Normalized Volume Value Pro by RagingRocketBull 2018
This indicator displays Longs vs Shorts in a side by side graph, shows volume's absolute price value and normalized volume of Longs/Shorts for the current asset. This allows for more accurate L/S comparisons (like a log scale for volume) since volume on spot...
I wrote this indicator as an attempt to see the Relative Strengths of different sectors in the same scale, but there is also other ways to do that.
This indicator plots the normal distribution for the 10 sectors of the SPY for the last X bars of the selected resolution, based on the selected comparative security. It shows which sectors are outperforming and...
This indicator was originally developed by John Forman (Stocks & Commodities, V.24:6 (May, 2006): "Cross-Market Evaluations With Normalized Average True Range").
Mr. Forman uses a normalized average true range indicator to analyze tradables across markets.
Return the percentage of closing prices greater than SMA's with periods within a user-selected range. An exponential moving average applied to these results is also displayed (in orange).
Min : Minimum period of the SMA in the range
Max : Maximum period of the SMA in the range
Smooth : Period of the EMA
Src : Input series of the indicator
This is a Normalized ATR, which means it displays ATR as a percentage instead of absolute price. For example, a value of 1 indicates a true range of 1% in a given period.
This indicator creates a moving average of the volatility of a product going back X number of periods and is useful for deciding what to trade. For example, if used on a daily chart, one...
An indicator that multiply the closing price with the current volume. (close X volume)
This will show the relative interest in the underlying asset regardless of the price change over time. For the case of FXCM, when the price fell from $16 to $1, its volume spiked 16x at the same time given the fact that 16x more shares can now be purchased with the same...
This MACD normalizes the price so that it can be compared against moves that took place at prices of significant difference.
There are also options to change if the MACD and the signal line are computed using EMA or SMA.


Thanks, Chuck. I did wonder.
On 1 Oct 2012, at 01:59, Chuck Norcutt <chucknorcutt@xxxxxxxxxxxxxxxx> wrote:
> I suspect that's the 1024x768. You have to watch the terminology
> they're using these days with respect to EVFs... they say dots, not
> pixels. 1024x768 = 786,432 pixels (if we recognize that a complete pixel
> needs red, green and blue pixels). Multiply 786,432 x 3 gives 2,359,296
> dots. I suspect the latter is what's being quoted.
Themed Olympus Photo Exhibition: http://www.tope.nl/


This algorithm divides a 2D space into 9 parts, of which only the middle part (viewport) is visible. The algorithm includes, excludes or partially includes the line based on where the two endpoints are:
Both endpoints are in the viewport (bitwise OR of endpoints == 0): trivial accept.
Both endpoints are in the same part, which is not visible (bitwise AND of endpoints != 0): trivial reject.
Both endpoints are in different parts: In case of this non trivial situation the algorithm finds one of the two points that are outside the viewport (there is at least one point outside).
The intersection of the outpoint and extended viewport border is then calculated (i.e. with the parametric equation for the line) and this new point replaces the outpoint. The algorithm repeats until a trivial accept or reject occurs.
The numbers in the figure below are called outcodes. An outcode is computed for each of the two points in the line. The first bit is set to 1 if the point is above the viewport. The bits in the outcode represent: Top, Bottom, Right, Left. For example the outcode 1010 represents a point that is top-right of the viewport.


Fibonacci methods for forex trading Knowing how to use Fibonacci retracements and extensions in trading brings your trading to a new level of success.Fibonacci Retracements. With lots Forex articles, videos and a dedicated price action forum to look at,.
Fibonacci numbers are frequently used to hypothesize which rates particular assets will.Huzefa Hamid of The Forex Room and DailyForex.com continues his multi-part lesson on Fibonacci with a discussion of how to trade forex using Fibonacci extensions.Fibonacci Retracements help traders determine market strength, provide entry points and signal when a pullback is ending and the trend resuming.
Fibonacci Time ZonesFibonacci trading is becoming more and more popular, because it works and Forex and stock markets react to Fibonacci numbers and levels.Leonardo Fibonacci, identified many of the key numbers in his. levels of support and resistance in the forex markets. Fibonacci.Fibonacci Trading Step by Step. Fibonacci introduced to the world the sequence of Fibonacci numbers in his book.Rising fan lines extend up from a trough and pass through retracement based on the advance.
Fibonacci Forex Trend Indicator
Fibonacci LevelsDefinition of Fibonacci Numbers: These numbers are the series of numbers where every consecutive number is the total two earlier numbers.
Fibonacci Time Zones are vertical lines based on the Fibonacci Sequence.Fibonacci retracements and expansions in Joe DiNapoli style, or DiNapoli levels, should be considered as the whole system.
Leonardo Da Vinci
Fibonacci retracement uses a sequence of numbers identified by mathematician Leonardo Fibonacci to find potential levels of support and resistance.Article about how fibonacci extensions are used by forex traders.
5 EMA and 13 EMA Fibonacci Numbers Trading System - Forex Strategies - Forex Resources - Forex Trading-Free Forex Trading Signals and FX Forecast - Download as PDF...Here is an example of the first several Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, etc.The Fibonacci Sequence is a series of numbers that seem to consistently occur in nature.Plants can grow new cells in spirals, such as the pattern of seeds in this beautiful sunflower.
Binary Options SystemLearn how to trade with Fibonacci numbers and master ways to use the magic of Fibonacci numbers in your trading strategy to improve trading results.
Technical IndicatorsThis book presents best strategies, whcih you can use to trade successfulyy in Forex or stocks market. What is Fibonacci number and ratio.
Fibonacci Numbers and Time
Forex Trading CompaniesWHAT ARE GOLDEN RATIO,GOLDEN. might not understand the significance of his invented simple series of numbers.
The discovery of this phenomenon is credited to the 13th century.Fibonacci Levels: What They Are and How to Profit. forex. Fibonacci series and the Golden Ratio are two. is made up of the sum of the two preceding numbers.
Pythagorean Theorem Triples ChartFibonacci method in Forex Straight to the point: Fibonacci Retracement Levels are: 0.382, 0.500, 0.618 — three the most important levels.Huzefa Hamid of The Forex Room and DailyForex.com continues his three-part trading lesson on Fibonacci with a discussion of how to use retracements to spot.A Fibonacci prime, as you should easily guess, is a Fibonacci number that is prime.
Fibonacci Sequence Examples
Breath Advance-Decline Indicator - Forex-Tribe.com - Forex
Forex Indicator Arrow Alert BBBecause of its size and the primary traders are bankers and large corporations, the Forex adheres to Fibonacci analysis better than any market in the world.Roberts Department of Mathematics and Computer Science College of the Holy Cross.The Daily Fibonacci Pivot Strategy uses standard Fibonacci retracements in confluence with the daily pivot levels in order to get trade entries.Fibonacci retracement levels are a useful tool that can help you determine how much of a move in a given part of the main trend will retrace before that trend is resumed.The fifth option on the MetaTrader 4 Forex platform insert menu is Fibonacci Lines.Mathemagician Arthur Benjamin explores hidden properties of that weird and wonderful set of numbers, the Fibonacci series.
Fibonacci Indicators are mainly used by Forex traders to help them identify levels for.


Logic Problems Magazine
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Prices are 12 month subscriptions unless otherwise stated.
Logic Problems Magazine Description
If you love testing your brain, then Logic Problems is the puzzle magazine for you! Apply your logic to all the fun scenarios scattered throughout each issue: with over 50 puzzles spread across 64 pages, you'll have hours of entertainment.
Each issue gives you a variety of challenges in which simple clues are entered in a special grid, in the form of ticks and crosses, and your deductions will lead to a unique solution. Don't worry if your memory isn't that of Raymond Babbitt's in Rain Man or filled with all the information that Stephen Hawking possesses; all you need is the ability to put the facts together and you'll reach the conclusion.
For new readers, there are guides to solving both the basic puzzle and the other puzzles featured. A comprehensive text solution is provided for every puzzle, giving you a complete sequence of the logical steps required definitely a plus if you happen to get a little stuck!
Along with the logic problem puzzles which come in a couple of different sizes, the magazine also includes other popular logical puzzles including Pixel Puzzles (the puzzle of pixelated picture-forming), Enigma (the formation of logical trails), Battleships (the classic find-the-fleet puzzle), Logi-5 (a very early and simple version of an Irregular Sudoku puzzle), Domino Search, Sudoku and Killer Sudoku.
There's also a fabulous big-prize competition in every issue.
Category: Puzzle Magazines


By Sylvester J.J.
Read or Download Collected mathematical papers, volume 2 PDF
Similar algebra books
In nearly each commercial program the so-called two-equation versions are used as turbulence types. those are statistical turbulence types, which utilize the Reynolds averaging process. in engineering those types are vitally important. The imperative challenge of those versions is the formula of the reynolds tension tensor.
The advance of the algebraic features of angular momentum thought and the connection among angular momentum idea and specific themes in physics and arithmetic are lined during this quantity.
The Coping strength application is designed to be used with preadolescent and early adolescent competitive kids and their mom and dad and is usually added close to the time of kid's transition to center institution. Aggression is without doubt one of the such a lot sturdy challenge behaviors in early life. If now not handled successfully, it may bring about destructive results in early life resembling drug and alcohol use, truancy and dropout, delinquency, and violence.
- A basis for the non-crossing partition lattice top homology
- Efficient implementation of geometric algebra
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- Lecture notes on vector and tensor algebra and analysis
- Elemente der Linearen Algebra und der Analysis (German Edition)
Extra info for Collected mathematical papers, volume 2
The method of proof used here is often referred to as Cantor’s diagonalization argument. In particular this shows that R is much bigger that the familiar subset Q ⊆ R, however it can be hard to identify particular elements of the complement R − Q. In fact the subset of all real algebraic numbers is countable, where such a real number is a root of a monic polynomial of positive degree, X n + an−1 X n−1 + · · · + a0 ∈ Q[X]. 60 4. FINITE AND INFINITE SETS, CARDINALITY AND COUNTABILITY Problem Set 4 4-1.
K m=n Hence (α ∗ β) ∗ γ(n) = α ∗ (β ∗ γ)(n) for all n, so (α ∗ β) ∗ γ = α ∗ (β ∗ γ). b) We have δ ∗ θ(n) = δ(d)θ(n/d) = θ(n), d|n and similarly θ ∗ δ(n) = θ(n). c) Take t1 = 1. We will show by Induction that there are numbers tn for which td θ(n/d) = δ(n). d|n Suppose that for some k > 1 we have such numbers tn for n < k. Consider the equation td θ(k/d) = δ(k) = 0. d|k Rewriting this as tk = − td θ(k/d), d|k d=k ˜ we see that tk is uniquely determined from this equation. Now define θ˜ by θ(n) = tn .
An ] with A > 1, show that 1/A = [0; a0 , a1 , . . , an ]. Let x > 1 be a real number. Show that the n th convergent of the continued fraction representation of x agrees with the (n−1) th convergent of the continued fraction representation of 1/x. 1 1 1-18. Find the continued fraction expansions of √ and √ . Determine as many conver5 5−1 gents as you can. √ 1 1-19. Investigate the continued fraction expansions of 6 and √ . Determine as many con6 vergents as you can. 1-20. [Challenge question] Try to determine the first 10 terms in the continued fraction expansion of e using the series expansion 1 1 1 e = 1 + + + + ··· .
Collected mathematical papers, volume 2 by Sylvester J.J.


a PuzzleMart where visitors can purchase a variety of puzzles and other
amusements, a PuzzleClub with a discussion board and newsletter, and,
of course, a wide selection of interactive puzzles from across the web,
for puzzlers of all ages.
teasers by Barry R. Clarke
Original free brain teasers and recreational mathematics articles from
the British puzzles expert and Daily Telegraph (UK) compiler.
John Rausch's site is dedicated to mechanical puzzles of all
types. Includes Nick Baxter's sliding block puzzles, as well as a Java
version of Lunar
Lockout which I wrote for Binary Arts.
Ed Pegg Jr.'s site is a celebration of math puzzles and Mathematical
on the Brain
Karl Hornell's Applet Center has some of the best Java games I've seen
anywhere on the Web.
Alexander Bogomolny's site has interesting mathematical information
Solitaire, and about lots of other things too. The page on Reverse
Solitaire has a commentary by Leibnitz, of all people.
Jack van Rijswijck is the author of QueenBee, one of the strongest Hex
programs available. There's also a good collection of Hex links here.
of Hanoi on the Web
The place to start for any and all information on the Tower (or Towers,
nobody seems to know which is right).
Felipe Voloch has created a version of Fiver which handles much larger
boards, which can take the form of a cylinder, torus, or moebius strip.
Runs in a browser (with the Tcl plugin) or as a Windows executable.
Source code is available.
Lots of links related to the strategies and mathematics of two-player
"perfect information" games.
This site is dedicated to very intricate wire disentanglement puzzles.
Check out the wide variety of puzzle arrangements from this well designed


Ontario Students Maintain Strong Standing in the Basics
Education Minister Stephen Lecce says Ontario students continue to show strong numbers in math, reading, and science.
Student assessment figures from the 2022 Programme for International Student Assessment have been released and Lecce says Ontario has maintained its strong international standing in those subjects, saying students across the province are the best educated in Canada and the world.
Lecce said in a statement that in all three categories, 15-year-olds in Ontario performed well above average – of 81 international jurisdictions, Ontario ranked second overall in reading internationally and nationally. The province’s results in science were among the top 10 internationally and second in Canada. Ontario’s math results were within the top 15 internationally and second nationally.
The findings affirm, Lecce says, the government’s investments and “back to basics focus” in math, reading, writing and STEM have helped maintain Ontario’s world-class education system. “It also clearly demonstrates Ontario’s focus on keeping children in stable classrooms and investing in reading, writing and math has helped to drive a strong recovery from the global pandemic compared to other international jurisdictions,” the statement read.


- 2016 - 2016: Research scientist intern, Amazon
Extension of a revenue management DP model to account for product perishability: formulation, solution using heuristics, prototype coding.
- 2012 - 2014: Research assistant, IESE Business School
Mathematical modelling of dynamic choice processes (newborn names over time, choice of songs in different radio stations, fashion product sales): data collection from public and proprietary sources, modelling using time trends and attributes, development of advanced estimation techniques, optimization of operational decisions.
- 2010 - 2012: Junior R&D engineer, Sabirmedical
Research and mathematical modelling on physiological processes and indicators (blood pressure, glucose, ECG and sepsis): processing of recorded signals to develop expert systems for non-invasive monitoring, statistical analysis of the population under study, performance analysis of the developed systems.


The stock Calculator app that comes with every iPhone is all well and good. But it’s a little basic, it’s a little tied to the old way of doing things, and it’s not available on iPad.
Thankfully, there’s a well-established calculator app out there that does things a little differently – for both iPhone and iPad. Here’s how to make the most of Tydlig, which you can download from the App Store for $2/£2.
A record of your sums
Ever typed in a sum on your calculator (app or otherwise) and then needed to remind yourself the result two minutes later?
The whole basis for Tydlig is that it’s an endless blank page for your sums. Just scroll back up the page to see previous calculations.
Of course, a list of random numbers is hardly conducive to recalling what each was used for. Tydlig lets you label your figures – just press and hold on individual numbers and hit the tag icon, then type out an appropriate label.
Tweak your figures
We’ve all likely found ourselves crunching the numbers on a particular problem or project where much of the sum remains roughly the same. With Tydlig you can tap on individual numbers in that sum and change their value or function.
Even better, the sums will change in real time in response to your tweaks, so you can work through numerical scenarios (budgets, earnings – you name it) in a jiffy. Tap and hold a number and hit the line-and-dot icon to install a slider, then drag it left and right to adjust the value.
Plot a graph
We’re often instructed to ‘do the math’ like it’s the simplest thing in the world. But take it from a bunch of words guys: math is abstract and boring.
Tydlig lets you visualise your sums in an instant. Simply tap and hold any number you want to make ‘x,’ then tap the graph action to create a graph. Naturally, any changes you make to the base sum will alter the graph accordingly.


Year 2 parents
New-style KS1 SATs were introduced in 2016 for all Year 2 children in England. Please take time to look at this website http://www.theschoolrun.com/KS1-SATs-in-2017 which tells you what you need to know about your child's English and maths assessments in May 2017. You can access this link directly by clicking on the link above.
We will also be running an information session in April 2017 (date TBC) in Class 2 where we will be pleased to answer any questions you may have.
Seeking new employment? Check out the link below to find your nearest job centre.


In fact, there’s merely a bit of an addition that’s going to occur. Let’s step in the mind of a kid in 2011. A youngster’s interest has to be supported by teachers and parents.
There are a lot of possible reasons for a student to have a question wrong. There just is no other approach to go around it. You’ve got a couple options.
Although the best thing about my course has become the group projects as you get to fulfill a great deal of new people and have a good deal of fun whilst achieving english essay writing a real objective. Learn the strategies you must feel confident on test day and find a fantastic score. This game can be enjoyed more than a couple of children in a little group.
If you buy a question from an individual student that you believe applies to others also, then deal with response to the intended group along with the student. Students need to know how to add and subtract polynomials involving a few variables. They will absolutely need to know how to handle money in their daily lives.
The Math Department is now conducting a search in the region of Dynamical Systems and Spectral Theory. It is used to create the complex programming at the heart of all computing. There is it in everything ranging aussieessaywriter from traveling to cooking.
Potentially the most insidious effect of auditory processing disorder in children is the way that it impacts phonemic awareness and learning how to read. It will boost his curiosity to find out more about math. When calculating the probability of a succession of events, it’s vital to understand if one result impacts the probability of another one.
Nowadays you have online math activity to help your boy or girl. The degree of the child in school will decide the look and content of the worksheet. The children begin to assume that math doesn’t have any importance in their lives.
My teacher used to provide revision at the right time of tests. You also ought to set goals for what grades that you want to earn in each individual class and whether you would like to do so well that the professor would be happy to provide you with a recommendation later for graduate school or workplace. He should carefully consider the following five points when deciding on a course of studies during the undergraduate major.
There are a lot of techniques to enable a child memorize and practice https://www.chem.iastate.edu/ math facts. If you cannot buy a math work sheet because you believe you may not have enough time to, then it’s possible to create on using your home computer and customize it for your kid. There are lots of math games readily available on the internet that require children to solve math problems to move ahead.
Problem solving games are almost always effective as teachers realize how important it’s to incorporate these greater level thinking skills in their curriculum whenever possible. Some words could have uses in everyday language along with some uses that are particular to mathematical contexts. Many children feel mathematics is difficult.
It was made to provide students with strong comprehension of the fundamental foundations of the analysis of statistics. An individual should also know about the broad value of Mathematics, and the manner in which it’s advancing at a spectacular pace. Clinical Implications The results which were gained via this study and previous studies will make a good deal of chocolate lovers content.
For more advanced students, questions which include zeros can present a tiny challenge. If you’re looking for printable worksheets for your preschool child, the collection of choices can be a bit intimidating. Use frames and arrows activities to develop logical thinking abilities.
Now back to the subject, the multiplication is truly repeated addition. You may make worksheets to accompany virtually every lesson conceivable. The 2 worksheets below will teach students to coincide with a number word to the right number.
In Chapter 4, another way of finding the vertex of a parabola was added. Now have a case in which you have a uniformly charged sphere and you want to get the electric field on the charged sphere. The equation evaluates the amount of the string with regard to its wavelength.
These Math on-line Video Classes will allow you to get ready for the GED Math test. Details are in the hyperlink below. See Fractions for more information.


Despite what many high school students believe, you need to know relatively few formulas for the New SAT Math section. The reason why there are so few formulas necessary for SAT Math is that the SAT is meant to test your reasoning skills more than your ability to memorize though in some cases, of course, memorization is necessary. There are always multiple avenues to the solution of a problem, and I teach my students how to take a consistent, accurate approach that utilizes a minimum of formulas and takes the path of least resistance to each answer.
I woutould like to know how to find the equation of a quadratic function from its graph, including when it does not cut the x-axis. Modelling This is a good question because it goes to the heart of a lot of "real" math.
Often we have a set of data points from observations in an experiment, say, but we don't know the function that passes through our data points. Most "text book" math is the wrong way round - it gives you the function first and asks you to plug values into that function.
A quadratic function's graph is a parabola The graph of a quadratic function is a parabola. The parabola can either be in "legs up" or "legs down" orientation. We know that a quadratic equation will be in the form: Sometimes it is easy to spot the points where the curve passes through, but often we need to estimate the points.
Let's start with the simplest case. We'll assume the axis of the given parabola is vertical. Parabola cuts the graph in 2 places We can see on the graph that the roots of the quadratic are: Now, we can write our function for the quadratic as follows since if we solve the following for 0, we'll get our 2 intersection points: But is this the correct answer?
Here are some of them in green: And don't forget the parabolas in the "legs down" orientation: So how do we find the correct quadratic function for our original question the one in blue? System of Equations method To find the unique quadratic function for our blue parabola, we need to use 3 points on the curve.
We can then form 3 equations in 3 unknowns and solve them to get the required result. We'll use that as our 3rd known point. Vertex method Another way of going about this is to observe the vertex the "pointy end" of the parabola. We can write a parabola in "vertex form" as follows: In our example above, we can't really tell where the vertex is.
If there are no other "nice" points where we can see the graph passing through, then we would have to use our estimate. The next example shows how we can use the Vertex Method to find our quadratic function. One point touching the x-axis This parabola touches the x-axis at 1, 0 only.
What is the value of "a"? But as in the previous case, we have an infinite number of parabolas passing through 1, 0.But the equation for a parabola can also be written in "vertex form": y = a (x − h) 2 + k In this equation, the vertex of the parabola is the point (h, k).
Use the information provided to write the vertex form equation of each parabola. 1) y = x2 − 4x + 5 2) Vertex Form Practice Use the information provided to write the vertex form equation of each parabola. 1) y = x2 − 4x + 5 y = (x − 2)2 + 1 2) y = x2 − 16 x + The standard form equation for parabolas is one of the two ways to write parabola equations.
Learn what the other one is and how it comes into play when writing standard form equations for parabolas. Just as a quadratic equation can map a parabola, the parabola's points can help write a corresponding quadratic equation.
Parabolas have two equation forms – standard and vertex. In the vertex form, y = a(x - h) 2 + k, the variables h and k are the coordinates of the parabola's vertex.
Write the standard form equation for a vertical or horizontal parabola Calculate the vertex and the focus point of a parabola To unlock this lesson you must be a rutadeltambor.com Member.
The Top 10 SAT Math Formulas You Need to Know for the New SAT and PSAT and the rest of them too. Please note: I am a Harvard grad, SAT/ACT perfect scorer and full-time private tutor in San Diego, California, with 17 years and 17, hours of teaching and tutoring rutadeltambor.com more helpful information, check out my my SAT Action Plan as well as my free e-book, Master the SAT by Brian .


Ok So this is a more realistic version of calculator cricket.
This game has to be played with both players pretty much at the same time because of the whole appeal and wicket system which makes it a little annoying, but awesome as well.
- (you have 2 bats men in at all times).
- Only 1-6 (except 5) score runs.
- Odd numbers are a change of strike.
- Even numbers player A stays on strike.
- 7-9 are dot balls marked with a – on the scorecard
- 0 like in the original version of the game is a wicket. although when you get a 0 you call out to the other player who then has to press random and if he gets a 0 it is a dropped catch, and the player stays in. if it’s any other number he is out. Therefore there is a 1 in 10 chance that your player will not get out.
- 5 is an appeal, if you get a 5, again you call out to the other player who then presses random, if he gets a 0 then your player is out. anything else, your player stays in. again there is a 1 in 10 chance your player will get out with that.
so you play until there is one player on your team left (he finishes N.O.) add up your score and if you are feeling dedicated play a 2nd innings =)
The problem with this is that you get much smaller scores as you can get out much more often and don’t have the 7-9 runs which make huge scores, although it does mean that a century is much harder to achieve making it a bit more realistic =)


Target 1. Student-Centered Learning: FWSU students will engage in personalize learning involving collaborative inquiry, problem solving and creative learning opportunities.
Action Step: Highlight, create and model innovative learning opportunities that promote collaborative inquiry, problem solving and creativity for students and staff.
Indicator of Success: Students and staff will create personalized learning networks to communicate and collaborate with others.
Recently, students in FES 5th Grade Math worked with fractions in groups differentiated by readiness level. One group worked on understanding unit fractions by playing a variety of games with support from the FES Math Interventionist. Other groups worked on understanding equivalent fractions and adding and subtracting fractions using a variety of methods.
One student reported that the class “…made me feel like a mathematician. If you look at the work it looks really hard, but when you actually do it isn’t that bad.”
Another adult supporting students in the classroom said that “work time was really successful. It was good to work with a group of kids who were thinking through each problem.”


From The Theme
DIGITAL LEARNING ENVIRONMENTS
What if we could provide hard evidence of the effectiveness of game based learning?
WHAT WE SET OUT TO DO
We set out to conduct research on learning outcomes from math video games, and to evaluate and improve assessment tools. Researchers explored differences in the mathematical proficiency of students who play digital math games, compared to students who do not. We considered what can be done to mitigate these differences, how incorporating digital math games changes the nature of classroom instruction, how digital math game play influences students’ thought processes and math attitudes, and how these processes and attitudes relate to the development of mathematical proficiency.
WHAT WE FOUND
Research suggests that math-oriented computer games can help students improve their underlying math proficiency – their ability to reason through open-ended math problems, rather than simply speed up their performance of rote arithmetic. Students who played a digital math game showed a significant increase in “number sense”. The game promoted mathematical proficiency by requiring learners to attend to several mathematical constraints at once. Engaged learners in an iterative process of decision-making by encouraging students to try, check, and revise their strategy as they played.
Keith Devlin Presentation: Learning Math Through Play
Holly Pope Presentation: Wuzzit? Digital Math Games in Elementary Classrooms
H. Pope, C. Mangram. Wuzzit Trouble: The Influence of a Digital Math Game on Student Number Sense. International Journal of Serious Games. 2.4. 2015.
PEOPLE BEHIND THE PROJECT
Jo Boaler is a Professor of Mathematics Education at Stanford University, and the Co-Founder of youcubed. She is also the editor of the Research Commentary Section of The Journal for Research in Mathematics Education (JRME), an analyst for PISA testing in the OECD, and author of the first MOOC on mathematics teaching and learning. Former roles have included being the Marie Curie Professor of Mathematics Education for Europe, a mathematics teacher in London comprehensive schools and a researcher at King’s College, London.
Keith Devlin is Senior Research Scholar and Executive Director, Human Science Technology Advanced Research Institute, Stanford University. He is a World Economic Forum Fellow, a Fellow of the American Association for the Advancement of Science, and a Fellow of the American Mathematical Society. He is “the Math Guy” on NPR. Dr. Devlin’s current research is focused on the use of different media to teach and communicate mathematics to diverse audiences.
Holly Pope, (At the time of the project), Holly was a doctoral candidate at the GSE. Currently, Dr. Pope is Assistant Professor of Elementary Mathematics Education at University of Hawaii at Manoa.


Understanding the mathematics behind online slot payouts is essential for both casual players and serious gamblers seeking to optimize their gaming experience. At its core, a slot machine operates based on a random number generator RNG, a complex algorithm designed to ensure the outcomes of each spin are entirely unpredictable and unbiased. The RNG generates a sequence of numbers corresponding to the symbols on the slot’s virtual reels, ultimately determining the outcome of each spin. The probability of landing on any particular combination is influenced by the number of symbols on each reel and the overall design of the game. Modern slots often have multiple paylines, further complicating the calculation of probabilities. The key concept in understanding slot payouts is the concept of Return to Player RTP. RTP is expressed as a percentage and represents the average amount of money that a slot machine is programmed to return to players over time. For instance, a slot with an RTP of 95% is expected to give back 95 for every 100 wagered on it.
The remaining 5% represents the house edge, which is the casino’s profit margin. It is important to note that RTP is a theoretical calculation based on an infinite number of spins, and individual sessions may deviate significantly from this average. The relationship between the number of symbols on each reel and the overall probability of hitting a winning combination is crucial. To calculate the probability of hitting a specific combination, divide the number of ways to win by the total number of possible outcomes. This probability is then used to determine the payout for that particular combination. The more challenging it is to land on a specific combination, the higher the payout associated with it. Understanding paylines is another fundamental aspect of comprehending slot mathematics. Paylines are the patterns on the reels along which winning combinations can occur. Traditional slots typically had a single payline, but modern video slots can have multiple paylines, ranging from a few to several hundred.
Betting on more paylines increases the overall stake but also enhances the chances of winning. However, it is essential to remember that hitting a winning combination on a single payline does not guarantee a profit, as the amount won may be less than the total amount wagered. Volatility, often referred to as variance, is another critical factor in understanding slot payouts. It measures the risk associated with a particular game. High-volatility slots have fewer but larger payouts, leading to a more unpredictable gaming experience. Low-volatility slots, on the other hand, offer more frequent but smaller wins. Players should consider their risk tolerance and playing style when choosing between high and low volatility slots. Grasping the mathematics behind online slot payouts involves understanding the role of RNG, the concept of RTP, the influence of symbols and paylines, and the impact of volatility. Armed with this knowledge, players can make informed decisions, manage their bankrolls effectively, and derive maximum enjoyment from their slot gacor77 alternatif gaming experience.


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Patterns are all around us and are nothing new to us but perceiving them and being able to understand them is a very strange experience. Fibonacci was one of the first scientists to pay attention to them and discovered to famous Fibonacci Sequence. Another scientist was Benoit Mandelbrot who used fractals in his mathematics. And more recently, Nassim Haramein with his rather unique theory on unified fields shows us another view on patterns and dimensions. In this short video a narrator talks about where patterns can be seen and what they can mean to us.


See and Learn First Counting provides teaching activities and comprehensive guidance to help parents and educators teach children the number words, numerals and counting from 1 to 10. It follows recommended, evidence-based practice in number teaching, progressing in sequence through the key developmental steps involved in learning the foundational number skills.
Designed by internationally recognised researchers and experts in the development and education of children with Down syndrome, See and Learn First Counting is designed to meet the children’s specific learning needs. See and Learn First Counting is also likely to be helpful for other children who benefit from teaching in small steps with visual supports.
- Evidence-based activities following key developmental steps in early number learning
- Focus on visual representation of concepts, reduced language and working memory demands to help children with specific learning needs
- Comprehensive guide included providing explicit, step-by-step guidance and instructions
- Record forms included for tracking your child’s progress
See and Learn First Counting includes eight activities, designed to teach children to say the number words, to recognise the numerals, to link quantities to numbers, to count, and to understand the concepts of cardinality and equivalence for the numbers 1 to 10. See and Learn First Counting is also designed to teach the key maths language needed at this stage of number learning.
- Learning Number Words
- Matching Numerals
- Selecting Numerals
- Naming Numerals
- Linking Quantity to Numerals
- Learning to Count
- Give a Number
- Learning Equivalence
- Guide book, introducing number teaching for children with Down syndrome and step-by-step instructions for each teaching activity
- Record forms
- 60 plastic counters
- 10 laminated quantity + numeral cards
- 20 (2 x 1-10) laminated numeral cards
- 4 animal cards (2 x Bear and 2 x Monkey)
- 40 animal food counter cards (20 x Cookie + 20 x Banana)
See and Learn Numbers
See and Learn First Counting is the first step in the See and Learn Numbers teaching programme. See and Learn Numbers is designed to teach young children to count, to link numbers to quantity, to understand important concepts about the number system and to calculate with numbers up to 10. It also teaches early mathematical concepts important for understanding space, time and measurement - including colour, size, shape, ordering, sorting and patterns.
Please visit the See and Learn web site or contact us for further information and guidance.


During the month of November, we had 19 students from Nile Academy Plunkett campus attended three different competitions and had some good results already. We would like to congratulate all of our students did participate to these competitions but special thanks to following names had some great results so far;
Alperen Yalcin; Caribou Math contest, Grade 9-10, 1st place among the participant private schools in Canada also he had distinction certificate from Beaver Computing Challenge.
Arda Ozkan; Caribou Math contest, Grade 9-10, 3th place
TalhaUcar; Caribou Math contest, Grade 11-12, 3th place
Mert Sasmaz;Beaver Computing Challenge, distinction certificate.