Saturday, August 3, 2019
The Teachings of Mathematics Education in America Essay -- miscellaneo
The Teachings of Mathematics Education in America Math educators in the United States should stress the understanding of the learners and teach them to process certain understanding to succeed in mathematics. The connection between math understanding and the reading of math problems should be raised in smaller grade levels so students have a better understand of math at younger ages. Yet it is not all the studentsÃ¢â¬â¢ part in learning the math, but also the educatorsÃ¢â¬â¢ part to teach the subject in an understanding manner using the curriculum and proper textbook. The rankings of mathematics in the United States are just barely above average compared to the world standards, and the preliminary studies show that the twelfth grade level tests are even lower and politics has to be blamed for this (Math and Learning). Ã¢â¬Å"As teacher-educators and lifelong mathematics enthusiasts, we think that AmericaÃ¢â¬â¢s problems with math are not new news; they predate both the No Child Left Behind Act and the reform-math movement. To us, the story here is less about test scores and more about the nationÃ¢â¬â¢s attitudes toward math. Simply put, America is math-phobicÃ¢â¬âto an extent that profoundly influences our countryÃ¢â¬â¢s policies, teaching practices, and, ultimately, the performance of our students.Ã¢â¬ (ERIC) The National Council of Teachers of Mathematics (NCTM) want to emphasis the basic skills taught in math classes as per their standards made in 2000. The old standards, made in the 1990Ã¢â¬â¢s, stressed importance on new ideas, and integrated technology use to solve complex equations. Ms. Lappan, the president of NCTM said, "That became, in some places and for some teachers, the goal. They missed the main goal: that children become highly skilled in using mathematics; We've tried to be very clear [in the revised standards] that mathematics is the goal.Ã¢â¬ The proposals of the 1990 standards and the 1998 needing revisions said the same: Ã¢â¬Å"Mathematics teachers need to reach all children by offering a variety of instructional strategies that encourage students to learn the concepts that lie under the algorithms they are learning; The changes, however, are unlikely to satisfy critics who find fault with the 1989 standards themselves, not just the way teachers and policymakers have implemented them. And they may also confuse and frustrate educators who have radically changed the way they teach... ...e poor teaching in the country. Ã¢â¬Å"The Third International Mathematics and Science Study warn unequivocally: United States students need to work toward a better, deeper understanding of mathematics--the "how" and "why" behind the equations. Without a clear, consistent vision for teaching math, there is little chance for any of our children to ever meet these standards. And this vision must start with the people whose job it is to impart knowledge to them: the teachers (ERIC).Ã¢â¬ Ã¢â¬Å"Political leaders of both parties have certainly recognized the need to address this crisis. America 2000, initiated by President Bush and adopted in somewhat different form as the Goals 2000 Act signed by President Clinton, calls for national standards in every educational discipline (Math and Learning).Ã¢â¬ The teachings of math in this country affect students in many ways such as teachers that teach math, the government that doesnÃ¢â¬â¢t support better funds for teaching math, the curriculum reform, and many more. Most of these things are not as visible in society yet it still occurs. The students ranking so low in the world in math is not good at all, and there needs to be something done about the matter.


One such function is the "Power" button. Example: 5. Tap on the base of the desired exponent. A trigonometric function used to calculate the cosine of an angle either in gradians, radians, or degrees. When this happens, the calculator displays the number in scientific notation, using the letter E to denote 10 to the power of whatever number comes after it. Most famously known and used as the ratio of a circle's circumference to its diameter. Your iPhone’s calculator works just like a pocket calculator. Pull the mute button forward if you want your iPhone to make noises. Of course, some devices don't run an operating system in the typical sense and can be safely shut down by simply pressing the power button once—like a computer monitor. n times. Want to see more? Calculator for iPhone - Calc Pro is quite amazing. For instance 10% of 100 is 10. Remove the battery: I'll preface this section by saying the plastic battery tabs to pull to release them … There is a way, however, to disable the page entirely. The Calculator app on your iPhone is really two calculators: a basic four-function calculator that you use for addition, subtraction, multiplication, and division, and a scientific calculator that is capable of performing trigonometric calculations, logarithms, square roots, and percentages. There are two online calculator modes Algebraic and RPN. As if by sleight of hand, your simple calculator changes to a full-fledged scientific calculator capable of tackling dozens of complex functions. The solution: slow down. The Best Fix to Solve iPhone Power Button Not Working with AnyFix. If you would like to use the calculator's memory you can use this button to get the last answer and use it in your next equation. This button turns on angle mode so that when you enter a number it assumes it's in degrees. Multiplying exponents. For example, 265 billion appears on a scientific calculator as 2.65 E 11. Solve both simple and complex mathematical problems. There's something I just can't work out - how do I stop the calculator making those annoying clicks as you type? And it’s that iPhone power button that I specifically want to talk about: the one on Apple’s most recent Face ID iPhones. Before you check the cosmetic condition of your iPhone's screen and body, you should perform a basic function test to see if the most important hardware and features are in good working condition. This app has 10 calculators in one. I've gone into settings and turned off "keyboard sounds" but that hasn't worked and I can't find setting specifically for the calculator app. Tips to Fix iPhone Power Button Not Working 1. Open the Calculator app. The power button (also know as the Sleep/Wake button) is one of the most important buttons on your iPhone, so when something goes wrong, it can be a significant burden. Use this guide to remove or replace the power button in your iPhone 7. The calculator mode is seen in the fourth menu status indicator, by clicking on this location the mode changes. The percent of a group of numbers. Slide the icon across the screen with your finger, and wait for your iPhone to shut off. If you’re facing iPhone power button issues and you’re not sure how … To access the scientific calculator on your iPhone, all you have to do is open the Calculator app (the fastest way is probably through Control Center, which you can access by swiping up from the bottom of your iPhone's screen.) AnyFix is a professional tool for fixing 130+ iPhone issues and 200+ iTunes problems. Type in a number. The Best Fix to Solve iPhone Power Button Not Working with AnyFix. When this happens, the calculator displays the number in scientific notation, using the letter E to denote 10 to the power of whatever number comes after it. A full scientific calculator that is mobile friendly. To turn your iPhone off, press and hold the power button on your iPhone until ‘slide to power off’ appears on the screen. e or sometimes called "Euler's number" is an irrational number that is the base of "natural logarithm" here it is to thirty places: 2.7182818284590452353602874713527 And here it is to. Your iPhone Calculator Has a Secret Function You Probably Didn't Know About (Video) this link is to an external site that may or may not meet accessibility guidelines.


The children will begin to discover numbers, math and manipulatives. They will learn life skills by problem solving. Math will be fun while sorting, classifying and organizing. We will create picture and word charts to help the children understand more and less, counting, adding and subtracting (simple). The children will build and create using traditional classroom items such as Legos, blocks, links and cubes but by also using teacher made enrichments that will allow them to use their imagination.
Our pre-kindergarten uses the Handwriting Without Tears Numbers and Math Program.
- Fine motor (small muscles)
- Pre-writing/strength building
- Patterning, counting, sequencing
- One to one correspondence
- Blocks/ Construction
- Beginning math concept
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Casino Game Abilities
You can find currently three main types of casino games available: cards, video poker games, and electronic digital casino games. Video poker game titles are played by one person at a time and don’t require the participation of internet casino staff to play. These games are increasingly popular among non-gamers because they are relatively easy to learn and play. They also have a tendency to provide a more competitive playing experience than almost every other games are.
Blackjack is just about the best-known card game in the world, and once and for all reason. Blackjack is often the first casino game individuals are introduced to and is a good introduction to the more challenging games that the casino gives. When you are playing blackjack at an on-line casino, you will find that you have the very best odds of winning when you come to bet. That’s because the house constantly has blackjack cards, and the lowest possible house edge (or gain) is two per card. The lower your chances of getting an advantage increase, the better off you are. The minimum bet amount is always lower than the maximum bet amount, so the lower you are ready to go with an individual card, the better off you’re.
Another simple blackjack strategy is by using basic statistics to analyze the way the blackjack player could be behaving. One such statistic is named the binomial distribution and it compares the winning possibility of blackjack with the chances of picking a range in the set, up to specified control. The binomial distribution plots the probability as a purpose of the number of successes and failures. For instance, the standard deviation is used to plot the info points for each and every 100 hands played. The typical deviation uses a normal curve to plot the data points to help you see the range of behaviour and how it differs with the amount of successful plays and the period of each successful take up.
Blackjack players 우리 카지노 신화 can make use of the typical deviation to estimate the casino’s odds of winning more money in the favorite games. Standard deviation is most useful in learning the random distribution of the outcomes of gaming incidents, like spins on roulette wheels or spins on slot machines. It is also used to review the behavior of the odds in non-stop jackpots on slot machine games and video poker equipment. One casino refers to these as “montee video games,” because players can win multiple prizes simultaneously over many arms.
The random distribution of the results of casino slot machines is comparable to the odds of hitting the jackpot in slots. When players place wagers, they take the opportunity that the gambling house will hit a jackpot. If you are gambling with a 10-piece slot machine game, then the best odds that could be given to you would be if you get yourself a hit every time with one of your bets. But, since you don’t know what’s the best payout will be, you will not know whether you’re getting the very best odds on slots or not really.
To study the real odds at playing slot video games, a player should multiply the total amount wagered plus the casino’s expected payout for every spin. For instance, if a participant is betting ten cents about the same spin, the casino’s likely payout per spin is $.10. With this particular number, the player can perform a quick computation to look for the quantity wagered, multiplied by the anticipated payout to obtain the casino’s true odds of winning. Then, he can multiply that number by the amount of times he really wants to bet and look at if he gets a winning bet every time. In this manner, the player can calculate his likelihood of winning without having to be determined by the numbers generated by the device.
In roulette and blackjack, players need to follow a technique of matching the quantity of opponents that come up with a specific number. A good player must do this consistently to improve his chances of winning. Here is the same in playing other casino games such as craps and baccarat. It requires strategic thinking, which is the main real skill factor.
Overall, playing casino games online is better because it has a lower house edge than slots games. Nevertheless, both roulette and slots game titles have the tendency to generate larger jackpots. There are also casino games online that work with random variety generators for drawing numbers. Compared to these, the house edge is smaller in modern casino games on the net.


Chapter 5 : Fractals
Fractal geometry ìs the underlyíng cosmologícal prínciple. But what exactly do I mean by fractal geometry? What îs a self-sìmílar pattern? And what do I mean when I talk about fractal dìmensìons? To understand thìs let us look at a símple example, the Koch snowflake, whose construction îs predìcated on a símple recursìve algorithm.
The Koch snowflake can be constructed by startíng wîth an equílateral trìangle, then recursively alteríng each line segment as follows: Fîrst divíde the lìne segment înto three separate segments of equal length. Next draw an equîlateral triangle where the mìddle lîne segment is the new trìangle’s base wîth its tìp poìntìng outwards. Then lastly remove the líne segment that is the base of the new tríangle. Thus, after one ìteratîon of this process, the resulting shape is the outlîne of a hexagram. Repeatíng thìs process îteratìvely renders the Koch snowflake.
So for the next ìteratìon of thís procedure: Agaín divìde the líne ínto three separate segments of equal length. Then draw an equìlateral trìangle, wíth the middle lìne segment actìng as the base of the new triangle, wîth íts tip poìntìng outwards. Lastly remove the middle line segment to complete the second íteratìon of the Koch snowflake algorithm. And as we proceed through all the other íteratîons the fractal curve that ìs the Koch snowflake comes into vîew.
A self-simîlar object îs exactly or approxímately sîmîlar to a part of ìtself. The self-símílar pattern of the Koch snowflake îs seen by takîng one of the lìnes and divîdíng it înto four parts. Each part îs an exact copy of each other as well as a scaled down copy of the orígînal whole. The length of each of the four parts ìs one third the length of the orìgînal whole.
The concept of a fractal dîmensíon îs defined by the dualìty în thìs divísíon of the whole between both the length and scale. This dual concept in the divîsîon between length and scale is most easily seen în consíderìng a lìne, a square and a cube.
A líne can be dívìded equally into two new lînes, each line, a copy of ìts orîgînal, scaled down by a factor of a half. A square can also be equally divìded ìnto four new squares. Each of these four new squares is an exact copy of the orìginal square agaín scaled down by a factor of a half.
A cube can be dívided ínto eight separate cubes each an exactly copy of the original but agaìn îts síze ìs scaled by a factor of a half. Thìs dívìsîon înto exact copîes of the oríginal whereby each copy ìs scaled by one half ís done by length.
Another way of lookîng at this scaling process in order to produce exact copîes of itself is by mass. Imagíne our line is a pìece of wîre that îs cut equally to produce two new pieces of wíre, each of equal length to one another. The mass, or weight, of each of the two new wîres is one half of the orígínal whole.
However for a square sheet of metal divìded ínto four squares the weight and surface area of each square ìs one quarter of the oríginal. And for a cube of metal dívìded equally ìnto eíght cubes the mass and volume of each ìs one eighth that of the orîgínal cube.
So we can say that when we scale down the length of the lîne by a half the mass of the líne is în turn scaled by a half. Or one half to the power of one, as în one dimensìon, ís equal to one half. Conversely when we scale down the length of a square the mass of the square is scaled by one quarter. Or one half to the power of two, as in two dimensional, ìs equal to one quarter. And when we scale down the length of a cube by one half the mass of the cube in turn ìs scaled by one eîghth. Or one half, the length scaled, to the power of three, as in three dimensíonal, whích ìs equal to one eíghth, the mass scaled.
It ìs ìn the “to the power of” relatíonshîp equating the scaling factor of length to the scalìng factor of mass that the concept of what ìs meant by a fractal dìmensîon ìs gíven defînitíon. So for a two dímensîonal square when îts length îs scaled by some factor then the resultant mass, or weíght, ís equal to the length scalíng factor raìsed to the power of two. And for a three dímensìonal cube when îts length is scaled by some factor then the resultant mass, or weíght, ìs equal to the length scalíng factor raîsed to the power of three. It puts the three ín three dimensîonal.
Returníng to the Koch snowflake. Here the pattern of the whole ís equally dívided into four parts each of whîch îs an exact copy of the whole. The length of each of the four parts îs one thìrd of the orígínal whole. Hence we can say ìt ís scaled ín length by one thírd but scaled în mass by one quarter. Its fractal dîmensìon “D” ìs “one thírd raised to the power of D such that ít equals one quarter”. Applyîng logarîthms we see that “D” ìs equal to around 1.262. Hence the fractal dîmension of the Koch snowflake îs equal to 1.262.
Let’s look at another sîmple fractal curve; the Síerpìnski triangle. Here when the Sîerpînskí trîangle is scaled in length by a half ít renders three copíes of the original whole. Here the length ís scaled by a half and the mass of each of the three parts ìs one third that of the whole. So íts fractal dímensíon “D” ìs “one half to the power of D such that ît equals one thìrd”. Usìng logarîthms we see that “D” îs equal to around 1.585. Thus we say the fractal dímensíon of the Sierpinskí triangle ìs 1.585.
As a rough analogy the measure of fractal dimensîon can be víewed as measurement of how rough a gíven curve ìs. This analogy ìs best seen when applîed to the real world problem of measurîng the length of a gíven coastline.
Take a coarse grid wíth the coastline of Britaìn drawn upon it and count the number of squares touched by the Brítísh coastlíne. Next zoomìng în on to the coastline of both England and Wales, repeatìng the same process, counting the number of squares touched by the coastline. Zoom în agaîn and repeat the same box countíng process.
What we find ìs that the number of boxes touched by the coastlìne îs roughly equal to a constant multíplìed the scaling factor to the power of 1.21 whích ís the fractal dìmensìon of the Brîtish coastline.
A curve îs saîd to be a fractal íf thìs relatíonshîp holds for any scale. In the case of the Brîtísh coastline thìs has been shown to be the case where the fractal dimension is equal to 1.21. A rougher coastlíne, lîke Norway has a fractal dîmensìon equal to 1.52.
Another example from nature ís the surface of the sea. A relatîvely calm sea has a fractal dîmensîon roughly equal to 2.05. Thîs ís în contrast to a stormy sea surface whose fractal dímensìon ìs roughly equal to 2.3. The larger the number the rougher the fractal surface or curve actually ís.
If our unìverse ìs ìndeed fractal then what ís its fractal dimension? Maybe its value ís to be found when considerîng Lambda, the cosmologícal constant? Possíble, but the first step îs here ís to try and ídentîfy the shape of the self-simílar pattern from whìch the unîverse and beyond is formed.


Have you at any point understood that specific blossoms have just a specific measure of seeds? Or then again seeds/leaves masterminded in a specific example? Maybe the states of worlds? Or then again how frequently two bunnies can recreate (and their posterity consequently). Take the seeds of a sunflower, for instance. You notice how they’re masterminded in a specific example that goes 1,2,3,5,8,13,21… That’s a Fibonacci number succession. The application of Fibonacci numbers extends all over for very nearly 10 centuries now. Today, we use Fibonacci numbers in insights, science, science, PC examines, wagering, and much more. We take a more inside and out take a gander at how punters can utilize the Fibonacci wagering system in online roulette.
What Are Fibonacci Numbers?
Basically, Fibonacci numbers will be numbers whose next esteem is controlled by adding the upsides of the last two digits. So assuming you start with 1 and 2, you have 3 (1+2), 5 (2+3), then, at that point, 8 (3+5, etc. Fibonacci was an Italian mathematician who likewise added to science and measurements as far as we might be concerned across India and Europe. He was the person who saw explicit themes are repeating in nature and have a specific model to them. Over the long run, the Fibonacci number system also discovered its approach to betting experts across the globe.
What Is The Fibonacci wagering framework?
The Fibonacci wagering framework is one that utilizes using the Fibonacci เล่นไพ่ให้ได้เงิน numbers while wagering. For this situation, we take a gander at online roulette. The Fibonacci wagering framework is a negative wagering framework. In this framework, a punter should expand his stake subsequent to losing to compensate for those misfortunes in the accompanying wagers. The stake depends on the Fibonacci arrangement of numbers, as talked about above. How about we take a gander at a guide to see how the Fibonacci wagering system works in roulette:
A punter should begin with a base measure of 1 or a numerous that is not difficult to manage, i.e., 10, 100, 1000, et cetera. On the off chance that a punter loses his initially bet (of suppose, $10), he puts down his next bet of $20. Suppose he loses this bet also, and afterward his next bet will be $30 ($20 + $10). Assuming he loses the following bet, the punter will bet $50 in the following bet $30 + $20). As he loses, he builds his bets in a Fibonacci succession to compensate for past misfortunes. In the following situation, suppose subsequent to a losing streak, the punter begins winning. All things considered, assuming the punter wins his $50 bet, his next resulting bet will be $20. This is determined by taking away the last two numbers’ qualities in the arrangement as opposed to adding them. So the following $20 bet is from $50-$30.
Components of the Fibonacci wagering framework
A portion of the components of the Fibonacci wagering framework expand (and are not restricted) to the accompanying:
1. Best utilized in games with 1:1 chances
The Fibonacci wagering framework is for the most part utilized in games with chances of 1:1. Column betting and number wagering เล่นสล็อต have distinctive chances, making it harder to apply the Fibonacci wagering framework to it. Nonetheless, punters can generally utilize this framework while wagering on dark or red, high or low, and odd or even.
2. Losing streaks can crash wagering reserves
The Fibonacci succession is limitless and can continue onward in case you’re willing to work out it. It’s imprudent to allow your groupings to hit exceptionally large numbers. Groupings for the most part hit bigger numbers when a player is on a losing streak. When on a losing streak, a punter might be wagering half or their whole bankroll after 6-10 misfortunes. Furthermore, should they not deal with a solitary success for some time, they might lose their whole bankroll before they get an opportunity to win their assets back.
3. Desire to win in the initial three wagers
In the event that you win inside the initial three bets played, you’re either creating a gain or earning back the original investment from your underlying bet. In any case, in the event that you don’t win inside the initial three wagers, you will keep on going through the Fibonacci grouping, piling up weighty misfortunes while you search for a success.


Now, how do they relate? Statistical methods You are Jollof don’t let anybody treat you like plain white rice shirt are purely mathematical – we need mathematics in order to measure differences or similarities (this is, as was made clear, what mathematics essentially is). Without math, we can’t even count, let alone do stats. So far, so good. But there is catch: mathematics does not have a notion of probability.
Uncertainty, ambiguity – those concepts are not allowed when You are Jollof don’t let anybody treat you like plain white rice shirt making a definition. Thus, probability is defined via density functions, by some abstract transformation from one space to another (as was made clear). But probability theory is axiomatic, it is still mathematical in nature – there is no fuzziness when talking about it.


MathSciNet provides web access to the citations and reviews of mathematical research literature contained in the Mathematical Reviews Database. The Mathematical Reviews Database is the database of bibliographic information and reviews created and maintained by the American Mathematical Society. It continues the tradition and extends the scope of the work begun by the paper publication Mathematical Reviews in 1940. Journals, conference proceedings, and books of mathematics research are covered. The Mathematical Reviews Database is published in a variety of formats, including MathSciNet, the monthly Mathematical Reviews, and the 17 issue/year Current Mathematical Publications.


Monday, 30 April 2012
Fading Suns 3, Game Mechanics 1
Let me take you through the basics of the dice mechanics in FS3, so that you can see how the newly revised VP system operates.
The dice mechanics still use a d20, with the objective being to roll as high as possible, but not so high that you exceed your goal number. If you roll your goal number exactly, you score a critical result. This is where the FS3 VP system starts to deviate from the older VP system. Goal rolls no longer automatically fail on a 19, and critical fail on a 20; these have been removed. In fact, there is no longer such a thing as a critical fail. Instead, a roll of 1 might result in a mishap -- essentially a Pyrrhic victory, in that you succeed, but something unexpected and potentially bad happens as well.
Goal numbers that exceed 20 increase the critical threshold. For example, a goal number of 22 would result in a critical on an 18, 19, or 20. So goal numbers can now be higher than 20, thus improving the chance of getting a critical result.
The final simplification for the basic mechanics was to reduce the amount of maths required. In FS1/2, the VPs scored on a goal roll equaled the dice roll /3. Dividing by 3 was a bit of a pain, so this has been changed to the much simpler dice roll /2. (Yes, I will still be able to calculate VPs in my head after I've had a couple of beers!)


A prime number is one that cannot be split up by division. Think of 11. Twice six is 12, three fours are 12. But the only number you can divide by 11 is one, and when you have done that you still have 11 left.
Prime numbers lie at the very roots of arithmetic, and have always fascinated those concerned with figures. Choose at random 17, 23, 29, 41 take the sequence as far as you like, and you will never find a prime number divisible by another. Over the centuries the world's finest mathematicians have tried to do so and failed - although they have also been unable to prove that no such number exists.
That is because there is an infinity of prime numbers, and in theory, anything may happen in infinity. But so far the theorists have not even been able to find a rule governing the gaps between prime numbers, which is a great mathematical mystery.


Recently, I came across a problem to operate on a large matrix stored in the form of csv. I needed to split this large csv file into smaller files so that each of those smaller files can fit into main memory for any kind of processing. In this article, I am going to walk through the process that I followed to achieve the same.
Let’ s start with the considerations:
- The matrix must be split in such a way that the recreation of the original matrix is possible i.e. it must be a non destructive split.
- In the process of splitting/merging, at no point can we bring the entire original matrix into the main memory.
With the above 2 points in mind, there are two possible ways that we can work this out.
- Splitting by Row/Column: Here, we extract a certain number of rows/columns into a separate file and store the individual files in the correct order of the row/column number that they represent. Realistically, reading by rows from a file is more convenient as it is a O(n) operation w.r.t time complexity, whereas reading by column would be a O(n²) operation, since we can only read files by lines.
- Splitting into smaller matrices: Here, we split a N x N matrix into k² smaller M x M matrices where N = kM. These smaller M x M matrices are then stores as individual files numbered by the position of the smaller matrix in the original larger matrix (Example to follow).
The problem with the first approach is that a single row/ column of the original matrix might itself be too large to fit into a computer’s main memory. Hence, I chose the second approach.
Now, let’s get into the details of the second approach. First of all we need to decide reasonable values for M and k such that M² elements can fit into main memory at a time.
Let’s assume the number of bytes in the main memory available for us to use is x and the original matrix contains only integers of size 4 bytes. Hence, to fit M² elements in x bytes of memory with each element being of size 4 bytes, we land up with the following calculated value of M.
M² = (x/4)
Correspondingly, k can be calculated as:
k = N/M
Once, we have the values for M and k, we are good to start with the actual implementation of the algorithm.
Let’s take the following matrix as example:
Assuming I can have only 9 elements in my main memory at a time, we break it into smaller 3 x 3 matrices as follows:
Here, each colored section will be stored in a separate file. Now, the question is that how do we number these sections or blocks.
Let’s overlay the above matrix with a 3 x 3 matrix like below:
Now, we just follow the above numbering i.e. the first 3 x 3 matrix would be numbered (0,0), the second would be numbered (0,1) and so on.
That’s about it for the storing the split sections of the original matrix. The following snippet can be used to implement it:
Now to recreate the original matrix, all that we really need to do is arrange the smaller 3 x 3 matrices according to the order decided by their numbering and print those into a new file, which would be identical to the original matrix. The following snippet may be used to achieve this:
The thing to note in the snippet above is that a row of the original matrix can be created by just merging rows across horizontal blocks, which is where the inner loop must start from
For example, row 5 of the matrix given above would be present in blocks (1,0), (1,1) and (1,2), and this row number can be determined by the above function i.e.
floor(5/3) = 1
As a part of the same problem, I needed to handle efficient storage of sparse matrices, which has to be a separate topic altogether.
Thanks for the read and please feel free to drop in any feedback that you might have.


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If you prefer to find math help for free, then you can turn to math formula websites. These sites do not have experts on hand to help you solve your problem. Instead, the free websites are like extraordinary calculators. You simply input the problem and the website solves it for you. With the free sites, you will not get any help with the explanations behind the solution, but you will get the solution. If the solution is all you need, then the free websites will get the job done for you. The free websites usually make their money through donations or advertising dollars. Some of the free sites will also have practice problems so you can continue to work on the challenging topics.


Originally from the Greater Toronto Area, Canada, Daniel Buckstein holds degrees in Computer Science and in Game Development & Entrepreneurship. He has a keen interest various areas of mathematics, including calculus and linear algebra, which carry over to computer animation algorithms and graphics programming. His other development interests include low-level game engine and tool design, virtual reality, and augmented reality; these have been demonstrated in both industry and academic contexts. His passion for programming intertwines with his passion for teaching and he is always looking for innovative and fun ways to deliver course content.
We’ll send you Game Studio info plus a game art poster designed by our students when you fill out this form.


2 edition of Mathematics for a modern world found in the catalog.
Mathematics for a modern world
W. H. Baxter
|Statement||W.H. Baxter, K.E. Newton|
|Contributions||Newton, K. E.|
|The Physical Object|
|Pagination||356 p. :|
|Number of Pages||356|
This book is intended to be used by children ages 5 to 6. Other age groups will also benefit from the book. Anyone can use this book globally, although the curriculum may differ slightly from one region to the other. This is so because the core content of Mathematics is the same around the world. This book offers a comprehensive and readable introduction to modern business and data analytics. It is based on the use VIP. Introduction to algorithms – Thomas H. Cormen This book helps the student complete the transition from purely manipulative to rigorous mathematics, with topics that cover basic set FREE. Artinian Modules.
Mathematics for the Modern World / Edition 3 available in Paperback. Add to Wishlist. ISBN ISBN Pub. Date: 07/27/ Publisher: Pearson Learning Solutions. Mathematics for the Modern World / Edition 3. Publish your book with B&N. Learn : $ Essential Mathematics for the Modern World is among the first textbooks in mathematics that implement CHED's framework for the subject. It connects and relates with the other new general education subjects by utilizing historical bits and perspectives, posing questions for reflection, honing effective communication skills, and presenting math as a set of tools for many of society's concerns.
Mathematics is important for those who want to handle logical reasoning and thus be better oriented in the surrounding world, let alone to become scientists or engineers. Actually, there is NO mathematics WITHOUT proofs and logical reasoning, defi. "MINDSHAPERS CO., INC. is a duly registered Filipino Publishing Company with the Securities and Exchange Commission whose main line of business is the publishing and distribution of Textbooks and Reference Books.".
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Best Moving Averages For Options
· The exponential moving averages are better tools for confirming individual trades. For example, the 8 period EMA is one of my favorite tools to use when looking for changes in direction.
These are some of the popular day trading moving averages that are used.
Both the simple and the exponential moving averages can be powerful tools to use. · 5- 8- and bar simple moving averages (SMAs) offer perfect inputs for day traders seeking an edge in trading the market from both the long and short sides. Moving averages work as.
Another form of averaging is known as Exponential Moving Averages or EMA for short. In simple moving averages, say a Day moving average, each of the 20 days' prices have equal weight in calculating the average.
However, in exponential moving averages, the most recent prices have more weight than the earliest ones.
Most traders just think: losing trade à my moving average is not good, I need another one. Winning trade à good moving average. A moving average is no magic tool and it DOES NOT MATTER whether you have a 15 period, a 16 period, a 20 period, an EMA or SMA.
The Best Moving Averages for Trading Binary Options
· Now, back to why the period moving average is the best; it is one of the most popular moving average periods. The other one that comes in a close second is the period. Again, the problem with the period moving average is it is too large for trading breakouts.
· As you can see from the table, the best moving average for a 5/20 day crossover was the exponential moving average (EMA) which gave a compounded annualised return of % and a maximum drawdown of %, resulting in a CAR/MDD of The worst performing moving average was the least squares. · A moving average tracks the average price of a stock, commodity or index over a given period of time.
Best Trailing Stop Loss Strategy | New Trader U
A day moving average looks back in. You have to stick to the most commonly used moving averages to get the best results. Moving averages work when a lot of traders use and act on their signals. Thus, go with the crowd and only use the popular moving averages. #3 The best moving average periods for day-trading. Moving Average Trading Strategy. In this video, you'll learn a moving average trading strategy that works. But, I've also seen traders you know using this similar strategy in the options and the stock markets.
But if you ask me, the best kind of trading setup is where you get a strong price rejection. 3 Ways to Use Moving Averages in Your Trading. A moving average (MA) is one of the simplest trading tools and can help new traders spot trends and potential reversals. Here’s an introduction to the moving average, as well as three ways to use it.
Moving Averages. The Simple Moving Average (SMA) is the most commonly used MA. · The three moving average crossover strategy is an approach to trading that uses 3 exponential moving averages of various lengths.
All moving averages are lagging indicators however when used correctly, can help frame the market for a trader. A simple moving average is formed by computing the average price of a security over a specific number of periods. Most moving averages are based on closing prices; for example, a 5-day simple moving average is the five-day sum of closing prices divided by five. As its name implies, a moving average is an average that moves. There are many types of moving averages, but three of them are the most popular, commonly known and most widely used.
These three types are simple, linear and exponential. There may be differences in the way the average is calculated, but the interpretations remain the same.
from IQ Option (Official group) The two most commonly used variations of the moving average are simple moving average and exponential moving average. While SMA is a simple average of the asset prices over a set period of time, EMA prioritizes more recent Author: Vasiliy Chernukha. 0 3 Moving Averages Binary Options Strategy. This binary options strategy uses one of the most popular trading indicators: the moving average. The strategy is very simple to understand and to the trade with clear rules for buy CALL and buy PUT trading signals.
· Common moving average lengths50, and These lengths can be applied to any chart time frame (one minute, daily, weekly, etc.).
A moving average trendline uses a specific number of data points (set by the Period option), averages them, and uses the average value as a point in the trendline. If Period is set to 2, for example, then the average of the first two data points is used as the first point in the moving average trendline.
The average of the second and third data. · Even if you rely on the best moving averages for trading, there is no guarantee that you’ll see a profit because, at the end of the day, there are no certainties when we talk about binary options. Still, if you do away with the common myths and consider all of your options, you’ll increase your chances of winning, if only by a little. Best Moving Averages. These analysts from binary options options contests from processing platforms for each particular system.
But it teaches people are the estate firms. Gold prices than ten, it comes to the exchange acts best moving averages as long term performance. One of the right here the transfer money through the biggest risk. How to Trade Binary Options With Moving Averages and The RSI As mentioned, Moving Averages work best when the market is trending, while the RSI is a killer in the consolidating environment.
Therefore, the combination of these indicators can make a comprehensive binary options trading system that works in various market conditions. How To Apple Moving Averages To Binary Options. The answer to that question can take up volumes, maybe shelves, of books. However, there are a few key areas in which moving averages are particularly helpful. The first is trend. A moving average is, or can be, the first step in determining a trend.
If the MA is pointing up then the asset is. · This repeating pattern is a good mixture of a key short term moving average smoothing out the gains from a longer term moving average and avoids most of the noise from price action cutting through one of the moving averages as a stand alone line creating a lot of false signals and volatility.
Best Moving Averages For Options: A Look At Moving Averages For Binary Options
· Which Moving Average Crossover is the Best? The moving average crossover of the 9 ema and the 20 ema is one of the best short term trend reversals. A golden cross is a good long term bullish trend reversal. It's when the 50 moving average crosses above the day.
Death crosses are bearish reversal patterns when the 50 MA crosses below the Another strategy in using moving averages for binary options trading is monitoring the time periods that are covered in the computation of the moving average (10 days, or 50 days in the example in our previous article), and try to notice a pattern that may show the strength of a certain asset price.
The best type of the Moving Average depends on the timeframe you choose to trade. The Simple Moving Average (SMA) works in the best way for short-term timeframes intraday (M1, M15, M30, H1, H4). Longer timeframes with a wider scale need to have an additional filter and the best type would be the Exponential Moving Average (D1, W, MN). Of these three parameters, the length of the moving average period will in most cases be the most important.
How to Use a Moving Average to Buy Stocks
If you are new to moving averages, try to put two simple moving averages on your chart (not important which security it is). Set the period of one moving average to 10 and the period of the other moving average to The difference is. Best Moving Average Crossover Trading Strategy? (for swing trading mostly) // Want more help from David Moadel? Contact me at davidmoadel @ gmail. com // My. · Here are the best moving average lines for day trading: 9 exponential moving average and the 9 ema.
Option Trading Entries \u0026 Exits using The Exponential Moving Average!
Or use the 13 ema in place of it. VWAP is also a very important intraday line. Exponential moving averages are another piece of moving average trading.
The exponential moving averages place much more significance on the most recent data points. · The 20 moving average line trailing stop loss strategy is very risky compared to the first two as you risk more open profits for the chance of a bigger move.
You can try all three trailing stop loss strategies and see what suits you best. Two steps forward, one step backward trailing stop loss.
How to Use Moving Averages to Your Benefit as an Options Trader
The 8 moving average line trailing stop loss. EMA Crossover Trading Strategy. A crossover between 2 moving average is probably one of the most well-known technical analysis signal used by traders. The strategy is simple, we take 2 exponential moving averages, one with a shorter period and the other with a longer period and we track the signals when a crossover occurs.
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This blog is a step-by-step guide to help you learn how to use moving average crossover strategy to trade in Nifty Options. You will also explore an learn how you can perform the back-testing of crossover signals using Python programming to. Since swing trading involves a shorter time period, short-term moving averages such as the 5- and day lines are a valuable tool to determine when the trend may be shifting.
Moving averages trading is a concept of trying to time the trend of the underlying security to pick movements up and down in the security to profit by that trend. When using option strategies for income, applying moving averages trading can be especially ekkh.xn--70-6kch3bblqbs.xn--p1ai article examines using the 10 day simple moving average in combination with the 20 and 30 day exponential moving averages to.
The expiration period of the option is 5 minutes – next 5 candles on the M1 chart. Buy PUT option: The moving averages are pointing downwards When on the 1-minute chart (M1) faster (blue) moving average (EMA8) crosses the red moving average (EMA20), we open PUT The expiration period of the option is 5 minutes – next 5 candles on the M1 chart. · Moving averages are one of the most basic forms of technical analysis and often one of the most reliable. Simple Moving Average Strategy For Binary Forex Options This is one of the pillars of my personal trading system and an easy way to trade forex markets.
It is a simple moving strategy but does not use a simple moving average. · Best Trend and Support / Resistance Moving Average. On a 1 minute chart the EMA is a good guide for direction, but also as a possible place from where a bounce may happen. This is not some hocus pocus magic, it’s simply because it is the best moving average for this and many many traders have it loaded on their charts.
· Binary option best moving average crossover for 1 minute chart binary options for india. Create an Account.
How To Use Moving Averages To Trade Options - vpnperson.best
Moving average indicators are standard within all trading platforms, the indicators can be set to the criteria that you prefer. And even if the trader develops that quick decision-making skill, fake-outs are too many to count on the 1.
· A moving average best moving average crossover for 1 minute chart binary options crossover occurs when two different moving average lines cross over one another. Create an Account.
Leading South African Crypto Exchange Raises $M. • +DI line (green) has crossed from below the. How To Use Moving Averages To Trade Options And List Of All Options Traded Etf S See Special offers and cheap prices in after Christmas/10(K).
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· binary options auto trader software; Best indicator to use with moving averages. Sl in trading. Home online trading system download.
Because the one-hour time passes a financial inclusion in best indicator to use with moving averages the https.


We know that technology has changed the entire arena of calculation. Math concepts like integration, derivative, and limits are difficult for the students to understand. Usually, students find limit calculation difficult, as they don’t have proper knowledge of calculating it. The concept of limit is important to learn because it is going to be used commonly in calculus. In this scenario, you can take the help of an online limit calculator to compute the negative & positive limits for the given function at any point. In this guidepost, we will discuss how technology has made the difficult math concept calculation easier.
Teaching Limits with Technology:
Calculus concepts such as integrals, derivatives, and limits are not so easy to understand. But when you are using the limit solver online tool, the calculation of the limits of the given function becomes easier. Today’s advanced technology makes the learning process easier for the students, and they can also better understand the concepts and logic of the calculations. Usually, to determine the limits of the function, we can use the four basic methods.
It includes the limit calculation method of factoring, substitution, rationalizing, and the least denominator method. There isn’t any doubt that it becomes tricky for the students to determine which method of calculation for limits is the best. Don’t worry; you can use the limit calculator with steps for the calculation of the results according to the standard formula of limits.
Methods with the Limit Finder Tool:
When you are using the online calculator for the calculation of limits, then you don’t need to worry about which method of calculation is the best, as this tool can do it by itself. The limit calculator online is capable enough to find which method would perform the best for your type of limit calculation. This online calculator will show you the below listed four methods of calculation to compute the limit:
- Method of substitution.
- Method of factoring.
- Rationalizing method of limits
- The LCD method.
Technology to Solve the Limit Calculation:
You can understand the difficult concepts of mathematics using the online calculator tools. We can do different calculations on digital tools, whether it is related to the limit of any function. We can solve the algebraic functions with the ease of a limit calculator with steps to understand the concept behind the limits.
Below we are going to discuss the different methods of calculation used by the online limits calculator.
First Methodology to Solve for a Limit:
- The first step to solving the limit is inserting the approaching limit in the designated section of the online calculator. The closest figure to 5 would be 4.9999 on the screen of the limit calculator. Hit the “sto” key to insert the value of the limit in the calculator. Once you are done with it, then pressure the enter button to store the values of the limit approaching 4.9999 into the x. the values are computed by the 4.9999. And then, it will display the output of the limit.
- Now, you need to enter the values of the function given in the limit calculation tool in the 2nd step.
- Hit the button “enter” to get the outcoming results, which is the resultant value we calculated with the ease of this calculator. The result would be 9.9999, which is replaced by the online tool.
Second Method to Solve for a Limit:
The second method is to draw the table to calculate the limit in the second methodology.
- For the method, the first step would be to present the graph method for determining the limit using the algebraic method.
- The second step is to insert the value of the increment value into the limit calculator online to solve the limit. Then enter the value of increment, which0.001. These values will help to generate the table of the input values for the limits & output values. This is actually considered the solution to the limit.
How to Use the Limit Calculator by Online-calculator.net:
Numerous factors can influence learning, and technology is one of the factors widely used these days to solve limits. When it comes to using this online calculator, you don’t need to take stress about how to perform the calculation using the limit finder calculator. The process of calculating the limit is very easy. All you need is to enter the required details into the online calculator.
- Enter the equation you want to calculate with respect to a, b, c, n, x, y, and z
- Now enter the value of the limit in the designated field.
- After that, insert its direction; it would take me plus “+” or “-“.
- The last step would be to hit the calculate button.
Once you hit the calculate button, the limit calculator will process the values you entered and display the results within a fraction of seconds. The best part of using the digital calculator for limit calculation is that it shows the step-by-step steps to better understand limit calculation.


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Teaching, Lifelong learning, Teacher 586 Words | Unit-6 Psychological Theories and factors influen... Unit-7 Enrichment Programmes for the Gifted, Unit-9 Analysis of test socres and Diagnostic Test. So is neither the case of these pupil teachers, who, when exposed to the If you don’t know, don’t worry about it. Introducing Venn Diagrams with Dr. Seuss- The students will be able to compare and contrast Dr. Seuss books. It is part of 10 Guidelines for Planning Units, which provides strategies for efficiently putting together all of your teaching plans.Both were adapted from The New Teacher's Complete Sourcebook: Middle … viewed, listened and observed through a modeling source is carefully analysed
classroom teaching are reduced by: a) to assimilate and learn new Delivery of a micro-teaching session on a new subject
19-20 syllabus- geometry pap. j) to acquire new teaching skills At the micro-teaching session, you will assess your own performance as well as provide feedback for the other lessons observed in your group. Micro-teaching 20% Lesson Planning - Chapter 22 You are required to micro- teach for 30 minutes in your TEFL class. Design & Planning: Lesson Plan 20 %
Sometimes KS4 learners encounter the ideas of highest common factor (HCF) and lowest common multiple (LCM) as procedures to follow to obtain answers, without much sense of what these quantities represent or why the procedures work.
3. Status of Teacher Training Before Micro-teaching
5. It can also help to give you peace of mind, knowing that everything is written down. The content should fit within the time allotted. 1. This step involves selection of the skill to be practiced, awareness of the components of the skill, selection of a suitable concept and the writing of a micro lesson plan. Teaching and Learning – no easy task – complex process. B.Ed., ... Demo class for #teaching maths : #Lesson #plan for #teacher - Duration: 6:03. If our teachers are going to I am completely blank for ideas, it would be great if anybody could share there's with me; I would appreciate it greatly! Worksheets
Download the complete set of maths lesson plans for Year 6 classrooms. "Great Maths Teaching Ideas" is owned by Emeny Learning Limited. Hello Guys, I have a Secondary Mathematics PGCE Interview on Tuesday and I have to an up 10 Minute lesson on anything that I wish (does not have to be Maths based). Waw !! process instead of observation of one skill. Some of the micro-teaching definitions are: Microteaching Lesson plan for teaching English grammar This is the format and sample microteaching English grammar lesson plan on Noun for English and ESL teachers and those students who are pursuing various teacher training programs like B.Ed (BEd), D.Ed (DELED) and BTC. methods or techniques to develop the powers of the child to modify teacher’s But micro on the following assumptions and principles: Micro teaching as training 4. could say that this thesis plays an important role in showing the current state of education what was lacking in the system. From b ed micro teaching worksheets to micro teaching art videos, quickly find teacher-reviewed educational resources. time”.-Lalitah.M.S. Micro Lesson Plan Class 12th Subject Mathematics for Mathematics Teacher. 4 Pages. LALI-441 TEFL
technique of training teachers. Under this step the knowledge and understanding about the following aspects is to be developed. teaching encounter in class size and time”.- D.W.Allen. Lesson Plan Elements of a Story In this interactive lesson, your students will learn to identify four elements of a fictional story: characters, setting, problem, and solution. encounter with a small group of real students, often with an opportunity to Micro teaching has been defined 1973, Mathematics, 1968 817 Words | technique, which requires student teachers to teach a single concept using
4 Considerations when planning a CLIL lesson
classroom of 70 or 75, neither are capable of showing competency over the 2. 3. We've created dozens of maths lesson plans to save you time, focus on specific curriculum objectives and help get the most from Mathletics in your school. training through teacher’s training institutions. 4. following steps. Subject matter, Chalkboard, Textbook 800 Words | However, there are many ways that a mathematics teacher can make mathematics more inclusive and inviting for all students. indirectly”-Passi. PROCEDURE FOR “Micro-Teaching” Prepare a 15-minute lesson plan … Length of Time: 30 - 40 Minutes . Mathematics Monday, 23 July 2012. unit - 4 Micro-Teaching skills TEACHING SKILLS . “Micro teaching is a teacher Whether you're looking for a one-off lesson or a whole unit, you should find everything you … Macro lesson plan of maths College paper Academic Service macro lesson plan of maths : pin.
The quality of education that is
Make lesson planning quick and simple with Mathletics. teaching acts of behaviours intented to facilitate pupils learning directly or component teaching behaviours comprising various teaching skills. This is a Lesson Plan For Maths Class 6, 7 ,8 , 9 ,10 on Volume of Sphere topic for secondary and high school teachers. 1. The result is Easily plan your Year 2 lessons for maths with this collection of PlanIt packs and resources. Prologue.
Teaching skill is an activity of Use Education.com's engaging math lesson plans to create a strong foundation in counting numbers, addition, subtraction, multiplication, division, geometry, and more. teaching skills under controlled conditions among the pupil teachers. Origin. 4.
The lesson involved hands-on activities to make the learning fun and engaging. Task Descriptions & Criteria
स रद स, ह द स क ष म श क षण प ठ य जन , प नर बलन क शल, कक ष -9 b.ed btc d.el.ed micro teaching plan - Duration: 6:01. Laboratory approach Simulations
These packs are created by teachers, for teachers, so you know you're using a top-quality time saver. * Worksheets are handouts the students complete to practice their skills. (iv) Requirements and sitting for Objectives
Micro-teaching lesson plan "Sequences" MAED 314A – Arithmetic Sequence Microteaching Bridge: 3, 7, 11, 15, 19, 23, 27….. It enables us teachers to crystallize our thoughts, seek advice from others, and prepare resources, explanations … A blank version in Word is available above: Ref AT007 See more ideas about teaching, lesson plan template free, lesson plan templates. of teaching skills. 2 page example of a completed micro teach session plan for a 30 minute delivery based on ‘non-verbal communication skills’. Name: Crystal Tse Student ID #: XXXXXXXX Attended Effective Lesson Planning workshop: Yes Lesson Title: Stereotype Threat: Why we need identity-safe environments Please check the topic of the lesson Your favourite theory or theorist in your field of study. 3 Pages. Micro-teaching Cycle
Aims and objectives are a critical part of teaching and can be found at the top of the plan. Definition of Micro Teaching There are many definitions of microteaching given by scholars. The very best maths lesson planning resources from the wonderful Tes Maths community Lesson planning is at the heart of good maths teaching. A daily lesson plan is developed by a teacher to guide class learning. Premium summarizes the article, describes how the strategies in the article can be used in the classroom as well as a personal reflection. 6 Pages. After this lesson, you all will be able to find the 100th and 1000th terms of this sequence. Feel free to use the micro-teaching lesson plan. In B Ed Training, Students and Teachers Have to Make Various Lesson Plans According to Their Teaching Subjects Which They Would Teach After Completion of B.Ed. “ Micro teaching is a training If the teacher trainees are conscious and aware of teaching skills, they will be able to concentrate on each of these skills and … The Teaching & Learning Plans are structured as follows: Aims outline what the lesson, or series of lessons, hopes to achieve. What is read,
(iii) Discussion about the We will provide you with guidelines on observations and feedback. Middle school standards-based lesson plans written by teachers for teachers. subject of micro teaching. Start a free trial and see how Mathletics can: Provide you with thousands of curriculum aligned activities. This collection of PlanIt packs and resources, Greek Mathematics, Mathematics 1537 Words 5! Duongapmops Nam2010 Online of CLIL Content-obligatory or content-compatible language standards-based lesson plans by selecting proper concept for the other observed! A micro teaching as training technique involves three phases planning resources from the books the! In artificial situation instead of real situations by scholars a modeling source is carefully analysed by trainees. And learning – no easy task – complex process Academic Service macro lesson plan 20 % 5 widely statistical... Teaching is a teacher training course may involve the following steps are the! A daily lesson plan in B.Ed Play a … microteaching - lesson plan 1 standards-based lesson plans selecting... Required manner develop his powers ”, “ teaching is a technique which develops the particular required skills teaching! Top-Quality time saver ( iii ) discussion about the component teaching skills you peace of mind knowing... For a long time to come downvote, Mark this document as not useful Embed, skills and provide! Teaching acts of behaviours intented to facilitate pupils learning directly or indirectly ” -Passi Laboratory approach Simulations Problem Investigations. Plans for Year 6 classrooms the subject of micro teaching technique in artificial situation instead real... Practice of demonstrated skill the article, describes how the strategies in the classroom well! Based on the following steps or 1000th term of this sequence anyone know what is CLIL 12th. Being covered, and to provide you with relevant advertising has been fundamental to advances in science engineering... Are a critical part of teaching skills Service macro lesson plan explains the concept of with. Students will create four different patterns page example of a completed micro teach plan. Introduction micro-teaching: INTRODUCTION as follows depending on the subject of micro teaching as training technique involves three phases Games... Will engage and challenge their classes give you peace of mind, knowing that everything is written.... Best maths lesson planning is at the micro-teaching session, you all be. You earn during the semester a teaching skill is an individual lesson behaviours to. Prepare micro lesson plans and CPD for Reception, KS1 teachers micro teaching to. Students learn about probability concept for the other lessons observed in your TEFL class nearly as old humanity... Current state of education that is provided to our children depends upon the quality of teachers... Maths lesson planning is at the top of the teacher educators and from the wonderful Tes community! Training programmes in the following aspects is to be developed for teachers of English, science, maths and.! To practice a teaching skill is an activity of teaching behaviour of a teacher, subject being covered and. Read, viewed, listened and observed through a modeling source is carefully analysed by teacher. Be used in the required manner real teaching intended to facilitate pupils learning or. Many marks you earn during the semester a number of teaching after a time! Of micro teaching technique important role in showing the current state of education that is provided to our children upon! As old as humanity itself: Co-operative learning Exposition Guided discovery Games Laboratory approach Simulations Problem solving Investigations 5 way! Gives the teacher educators and from the teacher educators and from the wonderful Tes maths community lesson -! Can also help to give you peace of mind, knowing that micro teaching lesson plan for maths is down... From b ed micro teaching technique quickly find teacher-reviewed educational resources very much interesting and needs... Content ﬁ rst the 4Cs of CLIL Content-obligatory or content-compatible language is read, viewed, and... On ‘ non-verbal communication skills ’ learning about complicated or difficult topics can. 'S board `` microteaching '', followed by 178 people on Pinterest a teacher. Says, “ teaching skill is an activity of teaching after a long time to come observed in your class. Technique micro teaching lesson plan for maths develops the particular required skills in teaching maths and literacy and learning no. Analysed by the teacher trainee an experience of real teaching, Calculus, School, stages! Teachers of English, science, maths and literacy as useful 1 1 downvote, Mark this document not... Statistical method for finding uncertainties of these phases a standard procedure of micro teaching training... Teacher, used to practice their skills, but easy to understand once made enjoyable relationship helps! Complete to practice a teaching skill consists of planning, teaching English as a language. 2 page example of a teacher, subject being covered, and to you! Controlled conditions instead of real situations to facilitate pupils learning directly or indirectly maths with this collection of PlanIt and... Is a role Play technique, which will help students understand the concept big! Acquire mastery in a number of teaching - lesson plan 20 % lesson planning - Chapter 22 are! Real situations to facilitate pupils ’ learning directly or indirectly ” -Passi plan 12th! Learning micro teaching lesson plan for maths and engaging the trainees listen an audio tape when learning complicated... In real situations to facilitate pupils ’ learning directly or indirectly activities to make the learning fun and engaging by. 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Significance of choosing an Error / Evaluation metrics Part — 1
So I have probably gone through so many blogs to understand which metrics I need to choose for the underlying data to evaluate how well the model is at predicting the target and understand what type of errors the model is making more often.
We use evaluation metrics to better understand how well the model is at predictions. With correct error metrics, we can understand if the model is biased towards any class or if we can downplay/ignore such errors.
Ideally, the difference between actual values & predicted values should be less & the model should be unbiased towards the train, validation, & test data.
Most of the beginners know all the evaluation metrics like SSE, RMSE, MAE, etc, or confusion matrix for classification problems. But most of us don’t know that choosing error metrics can be very specific to the underlying problems like outliers, Class Imbalance issues (which can lead to biased models), etc. There is no one -metric that fits all kinds of data.
Let’s go through the metrics used for regression problems and which will help you understand the following:
- What type of data should it be used for?
- What are those metrics signifying?
- Do we want to downplay outliers or give them importance?
In all the below formulas refer to this:
- y — Actual data point
- ŷ — Predicted data point
- ȳ — Mean of actual data points
Sum of Squared Errors (SSE)
Signifies how far the model predicted (y hat) the value compared to the actual value.
Sum of Squared Total (SST)
Signifies how far is the actual (y) value compared to the mean value.
Sum of Squared Regressor (SSR)
Signifies how far the model predicted (y hat) the value compared to the mean value.
R — Squared
Also called as the coefficient of determination.
R-Squared is a metric that quantifies the variance that is explained by the regression model.
R-Squared is always between 0 to 1 i.e 0% to 100%. R-Squared closer to 1 is considered a good fit.
As the SSE decreases, R-Squared will be closer to one.
Word of caution — When we add more independent variables R-Squared approaches higher values, even though some of these independent variables may not be significant which can be misleading while evaluating our regression model.
The simple solution for this is Adjusted R-Squared.
Adjusted R-Squared is mostly used instead of R-Squared whenever there are more independent variables.
Adjusted R-Squared is going to penalize the model for every addition of unnecessary independent variables.
Adjusted R-Squared usually is positive but it can be negative when R-Squared is 0 or when SSE approaches SST.
Mean absolute error
MAE is the easiest metric to understand in linear regression. We only calculate the absolute residual for each point as we do not want negative errors to cancel out positive errors. And average out these absolute residuals.
MAE is the most intuitive metric but as we use absolute values, it cannot indicate the underperformance or outperformance in the model.
Each data point contributes proportionally to the total error, therefore larger errors will contribute more to the overall error.
Due to the use of absolute errors, MAE is more robust to the outliers i.e MAE remains stable or has very little change due to exposure to noisy data.
Mean Absolute percentage Error
MAPE is the percentage equivalent of MAE. It is simply the percentage of the average of the absolute errors.
The only problem with MAPE is that it can be unexpectedly high if the actual values are exceptionally small.
MAPE is also biased towards or is higher for the predictions that are less than actual values.
Just like MAE, MAPE is also a robust metric for data with outliers due to absolute errors.
Mean Percentage error
MPE is exactly like MAPE, the only difference is we remove absolute value operation.
As there is no absolute function, negative errors will cancel out positive errors.
But that’s exactly how this metric is useful in showing the bias if there are more negative errors than positive errors.
It allows us to evaluate if our model systematically underestimates ( more negative errors) or overestimates ( more positive errors).
You can’t use MPE in the same way as MAPE, but it can explain to us the errors that our model makes.
Mean squared error
Instead of using absolute errors, in MSE we square the errors before averaging them.
Due to squaring the errors, we might overestimate how bad the model is because it penalizes smaller errors as well.
In MAE each error contributes proportionally to the metric but in MSE each error contributes quadratically to the metric. This eventually means that MSE will give higher importance to outliers and will give a higher error. This is to say the larger difference between actual and predicted will be penalized more in MSE than in MAE.
Whenever you want to ensure your model takes outliers into account MSE should be used.
Root Mean square error
Due to faster computation, many prefer MSE. But as MSE is not scaled to the original data that’s where RMSE helps us.
Same as MSE, RMSE punishes larger errors, making it sensitive to outliers.
There is no one perfect metric for all data. Choosing KPI depends on the objective and the data quality.


June 16, 2014 by dragonflytraining
With the new maths curriculum coming into place, the maths GCSE grading system will be changing in the academic year of 2014/15 across England. By 2017, the traditional A* to G will be replaced with the numbers 1 – 9, with ‘1’ being the lowest and ‘9’ being the highest. Falling below the lowest number of 1 will result in what we now see as a ‘U’ grade, so under the new curriculum there will actually be 10 possible outcomes for pupils rather than the 9 levels of grade we see at the moment. To reiterate, a level 1 will be the lowest grade a pupil will be able to achieve so the foundation tier will give access to grades 1-5, whereas the higher tier 4-9.
According to Gov.UK: ‘The new GCSE sets higher expectations; it demands more from all students and provides further challenges for those aiming to achieve top grades.’ Sure enough, it is going to be more challenging for students, especially as teachers will now have to re-evaluate how they set pupils’ targets and goals, especially those in year 8 and moving into KS4.
As one of the core subjects, mathematics is a subject that every pupil should be confident and competent in. As many pupils as possible should be getting a pass in the subject by the time they are 16 due to its significance for pupils looking to remain in education.
According to the Government response in the content consultation: ‘Most able pupils should be properly stretched, with more challenging questions and more challenging material; and the mathematics GCSE must support progression and flexibility so that students can continue to study maths post-16.’ With this in mind, the aim of the new curriculum is to increase the chances of those passing with a current C grade whilst stretching and challenging the most able pupils.
So, in a nutshell:
- 1 will be the lowest grade and 9 will be the highest
- Higher tier pupils will only be able to obtain grades 4-9
- On the foundation course, pupils will only be able to achieve grades 1-5, very similar to the current system where the highest grade they can achieve is a C
With the new maths curriculum in place, teachers and heads of department will be eager to maintain their high standards of teaching to ensure their pupils continue to achieve the best possible grades at school. With this in mind, it would be great to hear your thoughts on the issue, as well as any insightful tips you could give to fellow maths teachers.
What’s more, if you’re looking for a CPD course that will give you a better understanding of the curriculum and the changes that will have the biggest effect on you, have a look at our brand newcourse, Becoming an Outstanding Teacher Under the New Maths Curriculum, foundhere: http://www.dragonfly-training.co.uk/view/course/351


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