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First Math

Frank Ho, Amanda Ho
Ho Math and Chess Learning Centre Teachers
Vancouver, BC, Canada
Much attention on math reforms has always been on how math shall be taught? The most heated up debate was conceptual teaching vs. algorithm teaching and usually the conceptual teaching prevails and then a new set of textbooks follows. The most obvious change was in the area of “word problems” section in the textbooks, which is more exploratory and requires a real understanding of some math concepts.
The trouble is most teachers at school already have their hands full on basics teaching and do not really have enough time to go through word problems very carefully. Many times, we heard students told us that they “hated” those word problems. Many told us that their teachers did not even explain how to work out those problems and they simply were stuck on those word problems.
Is this the only thing we can do after each textbook change that is to increase the difficulty level of word problem to higher level Thinking Skills for students to work on? Without properly training teachers, the consequence is only to get lots of students frustrated. We personally like those word problems, which require conceptual understanding, but unfortunately most teachers do not know how to teach students well in tacking those word problems and the end result is that most students would not do well.
We can see the computational problems in textbook have not changed a lot in terms of their formats and styles. The idea of creating some new word problems is good but the problem is still how we can teach students so that they actually understand them, instead of creating stress on students with something they feel that they do not understand at all.
Is there anything we, as a Learning Center, can do to improve computational worksheets? Why some children are bored with those traditional computational worksheets? This is constantly in our minds to see if we can do something differently on math worksheets so that children can master their math ability while having fun.
First we look at the current learning and living environment facing our future generation and also where our children are heading. The future belongs to a generation who understands how to process information and the information might include digits, bytes, numbers, graphics, images, languages, symbols, equations and tables etc. How some or most of these different nature of pieces of information processing can be taught to kindergartners or elementary students when they are learning arithmetic if they are already bombarded by all these different formats of media?
We often see some elementary students perform multi-task while doing homework so they are already used to do multi-function. With this scenery in mind, most students, of course, will feel bored when working on monotonic style of worksheets, there is no stimulus to spark their interests in working on these simplistic and monotonic style computational worksheets.
How to create some worksheets, which children will feel they are interesting to work on? It is not an easy task and that is why there are so many different types of stand alone worksheets, namely logic, patterns, mazes, crosswords etc. These worksheets are created without interrelations to each other. This kind of isolated information processing is no longer reflecting the Real World the young generation is facing today or will be living in the future.
The computing world children are facing today is much like a rich tapestry, where a diversified fabrics and colours are integrated. Children today are absorbing not just numbers but an array of information like image, sound, music, symbols, spatial information, or even abstract ideas all bundled together and delivered through many types of media. Children today are not happy just working on pure number drill worksheets without any other stimulus or motivators.
Realizing the importance of having fun while learning, Ho math and Chess has been embarked on an important teaching philosophy that is to integrate chess into math worksheets so that children can Learn Math while having fun.
Started out as a math and chess integrated learning center, Ho Math and Chess has further advanced its teaching philosophy into Network Computing that is to create a special synergetic effect by integrating arithmetic basics computing, chess, mazes, and information processing all in one worksheet. This is accomplished through its own proprietary technologies (Canada copyright 1069744) such as Geometry Chess Symbol, Frankho Puzzle, Frankho Maze, Brainpower Math and an invention of brand new chess training set.
With this new invention of Ho Math and Chess Network Computing worksheets, a child is acting as a data warehouse manager and sorts data through a variety of tools namely chess, symbols, spatial relation, logic, comparisons, tables, patterns, mazes, computing etc. by networking all different kinds of information and skills together. Only when children have successfully followed through instructions (SCL) and, as a result, created a question themselves, can a solution be found at last.
In Network computing worksheets, the questions are not written out for children but must be mined (after children observing how data is moving) through data warehouse (mazes or puzzles), and answers must be computed by following a series of spatial relations and then analyzed using logic to reach a conclusion.
Ho Math and Chess Network Computing trains children not only their basic computing ability but also train them to be an astute data warehouse manager or an excellent data miner by developing their Problem Solving ability and critical thinking skills.
Ho Math and Chess Network Computing provides education and also entertainment value to get young children involved in the future world they will be facing.
Why are Ho Math and Chess integrated workbook more effective than traditional worksheets?
Ho Math and Chess integrates chess into math thus children actually not only uses the parts of brain while playing chess, they also use the parts of brain to do math computation and work on logic problems using chess diagrams. The effect of working Ho Math and Chess integrated workbooks is to stimulate many different parts of brain in multiple ways.
Ho Math and Chess integrated worksheets requires a child’s left brain to handle logic, numbers, and word problems language; at the same time the worksheets also require a child’s right brain to handle
patterns, images, diagrams, symbols, mazes, puzzles, and tables etc.
It is our belief that integrated Ho math and chess workbook will work more effectively to stimulate one’s left-brain and right brain at the same time.
Many children like chess, why? Simply put, it is a game and it is fun and children Can Play it without using a computer. Can you image nowadays that parents are telling us that their children spend too much time on computers playing games? Parents do not want to see children continue to use computers at learning centers any more since their children become near-sighted by spending too much time on the computer.
How Ho Math and Chess created some interesting math, chess and puzzles integrated worksheets?
We find out most children will frown on drill type of math worksheets since this kind of worksheets are boring and repetitive and do not motivate them and they will not get children engaged into doing unless they get order from adults. But if we can have a game type of worksheets married to math then at least this integrated product offers some incentive for children to do math since the Fun Game is what they would like to do. This is how we have created math, chess and puzzles worksheets. Children Learn best while they having fun of doing it.
Children like mazes. They are adventuresome and interesting. It gives children a feeing of reward when the problem is solved and children feel better when they are challenged mentally. The difficulty is how to marry math and mazes? Integrating math into chess mazes has solved this problem. This is the birth of Frankho Chess Mazes. A chess maze not only is fun to play but it also teaches geometry concepts and trains children’s visualization and orientation.
Some children were born with sensitive number sense but some children can be trained to be more alert with numbers, patterns, and symbols. Chess serves as a good tool to combine with math so to provide an innovative way of training children to be more aware with number patterns, and relationship between numbers. This is the marriage of math and chess, math and chess provides opportunities to train children’s math with fun and improves their brainpower.
By use the technology of Geometry Chess Symbols invented by Ho Math and Chess, children are able to work on an array of different math worksheets, which are to be more entertaining, more fun and more interesting.
The most important proof of effectiveness of these Ho Math and Chess worksheets can be validated by the responses received from our students, parents and how much progresses they have made before and after they used these worksheets. For this, we have many clinical experiences and testimonials to share.
For more details on how math and chess integrated worksheets can raise children’s math marks with fun, visit www.mathandchess.com.
About the Author
Frank Ho, a Canadian certified math teacher, coined the learning centre term Math and Chess and he also founded the world's first math and chess learning centre by creating the world's first math and chess integrated workbooks for elementary students in Vancouver, Canada. He invented Frankho Symbolic Chess Language, intriguing Frankho Chess Maze, and also an unique new chess teaching set. He published math and chess teaching theoretic basis in a Canadian math journal. The USA Illinois research data has shown statistically significant that Ho Math and Chess teaching method increases children's math marks and also improves children's critical thinking skills. The Ho Math and Chess Teaching Set can improve children's memory by playing half-blind chess. More details, please visit www.mathandchess.com.
what was the first ever math problem?
What was the first one ever solved in history?
One plus one equals three. Adam and Eve.
First In Math
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Multiplication Division

Learning multiplication can be tricky. That's why educators and parents need to be clever and use whatever they can to make multiplication fun and easy. One way learning multiplication fun is to use math Board Games.
Making math board games is easy. All you have to have is some card stock and markers and you're set to go. The simplest game to make is the track game. For this one you just create a math board game with a track with start at one end and finish at the other end. The track can be circles or squares joined together. It might go zigzagging up the board or it might go around the edge with the start being right beside the finish.
Once you have marked the Start and Finish on your math board game, you can add some feature spaces. These are ones that say, ‘Have another turn' or ‘Miss a go'. Some might say ‘Go forward 3 spaces' or ‘Go back to the start'. If You Want your game to have a theme, you can decorate it with the theme, for example racing cars or the jungle. The feature spaces can also have things related to the theme. You may have, ‘You have a flat tire. Miss a turn.' on your board game with the racing car theme.
Next add some symbols to some of the spaces on the game board. These can be something like a star or can be related to the theme of your game. The jungle board may use trees or monkeys, and the racing car board might use cars. These will be the symbol to pick up a card.
On your cards you will have the multiplication facts that you want children to practice. They will have something like 9x3 or 7x5. Once the cards and the board are ready you simply need the dice (you can use one or two) and some markers. The cards are placed in a pile face down beside the board.
Each player puts a marker on the start and then the players take turns at rolling the dice. If the player lands on a feature square, they simply follow the instructions. If a player lands on a Symbol square, they pick up a card. Then they have to give the answer to the multiplication fact. If they give a correct answer, they have another turn at rolling the dice. If their answer is incorrect, they miss turn. Of course the first player to reach the finish will be the winner.
You can also get the kids involved in making the game board and decorating it. This will give them a real sense of ownership and they will be really keen to play and practice their multiplication.
Yes, making Your Own math board game to practice multiplication really is That Easy! The best part is that this game can then be used for a variety of math skills. Just make another set of cards to practice addition, subtraction or division and you're ready to go!
About the Author
Terese Evans is a teacher and parent who uses math games to get kids excited about math. She shares her favorite math board games in, The Math Board Games Book. Get your free math board games at www.math-board-games.com.
Why does multiplication/division come before add/sub?
i was just wondering...
what is the reason of order of operations to be this way? and who decided on being this way? and is there a proof of why multiplication/division has to come before add/sub?
(To the two people below me... unfortunately "BODMAS" is not the proof; that's circular reasoning. They're actually asking *why* is BODMAS used.)
The short answer is: "because multiplication is distributive with regard to addition."
Let's think this through, so we're clear what we're talking about. The important thing to realise is that the factors in multiplication relate to each other in a different way to the factors in addition. Multiplication and addition are two different operations, even though they may be related. It's easiest to use examples.
5 x 6 is the same as 6 + 6 + 6 + 6 + 6, or, to put it another way: 5 + 5 + 5 + 5 + 5 + 5. Both of these sums are the same thing (add them up - you'll see that it is true), which is why the order doesn't matter within multiplication. 5 x 6 is the same as 6 x 5. This is called the "Law of Commutativity", and it is true for all real numbers. Multiplication is "commutative" because 6 x 5 = 5 x 6, and addition is also "commutative" because 5 + 6 = 6 + 5. The order doesn't matter.
BUT: 5 x 6 is VERY different to 5 + 6.
5 x 6 = 30, but 5 + 6 = 11. So multiplication and addition are two distinctly different operations, even though they may be similar. But, mutliplication is made up of additions (because 5 x 6 = 6 + 6 + 6 + 6 + 6), so they different, but they are also related in a particular way that is important later.
Consider the equation 4 + 5 x 6.
4 + 5 x 6 is different to (4 + 5) x 6. If You Don't multiply the 5 and the 6 first, then you end up with 9 x 6 = 54, which is different from 4 + 5 x 6 = 4 + 6 + 6 + 6 + 6 + 6 (or 4 + 5 + 5 + 5 + 5 + 5 + 5) = 4 + 30 = 34. (In fact, because addition and multiplication are "commutative", if you didn't use BODMAS properly, you might not be able to tell the difference between "4 + 5 x 6", "5 + 4 x 6", '5 + 6 x 6", and "4 + 6 x 5" - but all these equations have different answers!)
To put it another way:
(4 + 5) x 6 = 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 9 x 6 = 54.
whereas:
4 + 5 x 6 = 4 + 6 + 6 + 6 + 6 + 6 (or 4 + 5 + 5 + 5 + 5 + 5 + 5) = 34.
The multiplying factors (in this case, the 5 and the 6) have to be resolved first, because they actually behave different to the numbers that are just being added. They are connected by a different kind of operation than the "4" is.
This idea is called the "Law of Distributivity". Now, i said above that multiplication is "distributive with regard to addition". This means that:
a x (b + c) = a x b + a x c
In the usual arithmetic notation, we don't actually use the "x" symbol for multiplication, we just say:
a (b + c) = ab + ac
You can put any numbers in place of a, b and c, and you will see that it is true:
7 x (8 + 9) = 7 x 8 + 7 x 9
You can see that this has to be true when you expand it out:
7 x (8 + 9) = (8 + 9) + (8 + 9) + (8 + 9) + (8 + 9) + (8 + 9) + (8 + 9) + (8 + 9)
versus:
7 x 8 + 7 x 9 = 8 + 8 + 8 + 8 + 8 + 8 + 8 + 9 + 9 + 9 + 9 + 9 + 9 + 9
Notice that both equations give the same answer (it's 119), so both these equations are the same thing. This is because addition is "commutative". (Remember that "commutativity" means "the order doesn't matter".)
If you're doing addition, the order doesn't matter: in both cases, you have seven 8s, and seven 9s, and you add them together.
So, addition is commutative, and multiplication is a different (but similar!) operation to addition, and these two facts together mean that "multiplication is distributive with regard to addition".
To put it another way, you "distribute" a multiplying factor across all the parts of a sum that are subject to that factor.
So it makes sense to solve the multiplications first, because the multiplying factors have to be treated in this special "distributive" way. Basically, you take them out first to avoid confusion - if you add a number to a multiplying factor without first multiplying that factor by everything it should be multiplied by, you will get the wrong answer.
CA Standards: Algebra II (Algebraic Division/Multiplication)
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Preschool Thinking

If you're planning on commencing a preschool job, you may want to ensure that which You Are preparing youngsters properly for Kindergarten. A lot of people are mindful that the early phases of the child's training can make a huge impact within the rest of their lives. Children's personalities are usually formed through this period. When beginning a preschool, you'll want to get incredibly watchful to install optimistic reinforcement and teach large values. It assists if your preschool curriculum supports these similar values.
Producing a exciting, fascinating and educational preschool job will necessitate some attention. It is crucial the fact that preschool be attractive and cleanse so parents will desire to consider their youngsters there. Teachers really should usually be polite, friendly and effectively qualified. If you're lucky enough to obtain a instructor that has a degree in early childhood education, they ought being familiar with handling little ones and knowing the psychology behind children's actions. When establishing a preschool it's essential to not out spending budget on Your Own seeking for any teacher. Be sure to locate 1 that may be inside your spending budget or you will locate by yourself quickly in plenty of economic trouble.
Speaking of funds, a huge consideration you may have when establishing a preschool job is identifying how a Great Deal you can cost every single student. In simple fact, deciding on how significantly you are going to charge is the single most crucial factor you are going to think about as part of your preschool business. It is important simply because it'll determine the rest of one's preschool's spending plan. It'll be your major source of income; thus you are going to must prepare accordingly.
1. Brief operate a long time – In-home daycares are great, but they may be stressful and overwhelming when you could have to deal with crying, whining young children 12 a long time a day. That you are rather a lot operating your life away from household. You are basically operating more than 40 a long time every single week. Who truly wants to try and do that? Like a house primarily based preschool job seller, you only perform two to five hrs everyday. That may be 10-25 hrs per week.
2. Wonderful part time revenue – Because of the reality that in-home daycares are opened for 12 hrs daily, you might assume the fact that proprietors make Much More funds than home dependent preschool job owners. Effectively you are incorrect. In property daycares average all-around $4,000 monthly. Naturally that quantity is dependent on many other aspects. As a Home Based preschool job manager you're only operating part time for that similar amount of funds. The typical home structured preschool operator earns $40/hr. That's $4,000 per month.
3. Older Little ones – Most youngsters that attend in-home daycares aren't potty educated. Remember, you are dealing with babies up to preschool job age inside of a home primarily based daycare. When you've babies, you've got to thoroughly clean diapers. As a preschool teacher, that you are dealing with older, potty educated children..
. properly no Less Than they ought to be.
An aspect to think about when beginning a preschool job is if you happen to be going to be teaching the youngsters by yourself or if you'll employ a qualified instructor to take around the employment. If you decide on to be a Director your occupation will probably be mainly supervising the preschool job.
These are just a couple of things you are going to should consider when starting a preschool. You ought to also feel of one's own ideas for creating your preschool stand out so it is possible to generally be ahead from the competition. Once you get the hang with the preschool company you'll be able to either create a different a single or expand the recent one you've.
Don't forget to usually have the interest of the little ones in thoughts and be sure they enjoy and find out in the same time. Do this and you may take pleasure in a fun and rewarding new career as a preschool instructor!
About the Author
Steve hunt is writin for many web sites. He enjoys writing on wide range of topics such as Preschool Jobs and Preschool Worksheets for Children You can also visit for more details.
Do preschool teachers generally Love the children in their class?
I think it is important a child receives love throughout the day. A big reason I am worried about preschool is that his teacher won't love him, children need love and nurturing to grow. I have a week to decide if he goes to preschool, I still haven't met his teacher who will be in next week. What do I do? What do you think about preschool and love?
I have worked in several different preschools. The best thing for you to do is to go to the preschool you are interested in and talk to the director and teachers and see what their policies are regarding the care the children receive and discipline etc... Sit in on a class and observe the children see how they are treated and reactions of the children to the teacher and teachers aides also - aides are also left alone with children for different reasons so their behavior is also important. Look for lots of positives and hugs from teachers, do they seem frustrated or happy? Children happy to be there? Look for children to adult ratio? is it enough or not enough?
Daycares are very very hectic and busy. Yes I loved my kids but also getting through the day and having so many kids can seem overwhelming sometimes. So again see the teachers reactions and if they seem overworked or overwhelmed. Most teachers do go into this field for the love of children and you can tell if a teacher really cares for the children. Parent to teacher contact is vital and expect daily reports and feedback. Please realize that your child may need lots of time to get used to preschool and expect he/she to not be very happy at first. Crying is very normal and after the first few days please DO NOT stick/hang around thinking it will make it easier for the child because it does not!!!
Good luck and go with your first instinct! If things don't seem right speak up! If you child is happy and happy to go to preschool then thats great!
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Math Games

Maths games are learnt with Fun Games that are proved to be an effective teaching tool these days. When You Are practicing mathematics, you have a problem and You Need to find out the solution. The problem-solving exercise is generally done on paper or on the whiteboard.
This practice session can become very monotonous and you may even lose interest in the practice sessions. The math games are tools that involve the thrill element of a game and the educational element of Problem Solving. These mathematics fun games are usually timed and they also have scores. Just like any other game, you will also find levels that you need to overcome.
Where to Find Maths Games?
There are several websites that would give you free games for maths revision and practice. If you are in pursuit of higher education, you will know the importance of the GCSE examination. To prepare for this exam, you can use the conventional practice methods for maths or you can use the mathematics games method. According to a popular research, the retention of game-based learning has been very high among teens. Game-based learning has been there for a very long time. In fact, instructors are using game-based learning to teach difficult maths concepts.
The game factor is just to keep the learner interested in the problem-solving activity. Mathematics fun games can also be used as a Very Good tool for revision. In fact, revision can be very monotonous as compared to actual learning of the facts, concepts, or procedures. Today, electronic medium is being used very efficiently to provide the necessary practice with the fun and thrill settings. When you are playing the mathematics mind games, you will not realize that you are actually learning. That is because our mind does not see the learning and the game at the same time. Some of the best mathematics game designs have a built-in scenario that takes the learner into a different world.
What Do Maths Fun Games Comprise?
Common themes that are used for the maths games are the Alice in Wonderland theme, the circus theme, the Treasure Hunt theme, and so on. The mathematics fun games would generally start of with the easy problems and then move up to the difficult problems. In other words, the mathematics fun games use the simple to complex approach. So, how do you play these games? And what is needed to play these games? Well, if You Want to play any online mathematic fun games, you will need a computer and an Internet connection.
You need to make sure that you have good Internet speed if you want to really enjoy the mathematics fun games. You can also buy these games in the form of CD-ROMs, which are easily available at book stores, supermarkets, and CD libraries. Most mathematics fun games are also available as mathematics puzzles, which have the same concepts as the mathematics fun games.
If you are too bored of the old-fashioned way of learning maths or revising maths, you can switch over to the game-based learning. When you are having fun with the mathematics fun games, you need to keep a check on the time spent on the maths games.
About the Author
Are You bored of using traditional methods of maths revision? If yes, you must visit www.gcsepastpapers.co.uk to see the innovative games for maths. Don't miss these maths games.
what site can I go to that has those math games?
what site can I go to that has those math games Where You can add and subtract a number from the begining and after a few more equations you'll get the original number you started out with.
coolmath.com
Mental Math Games - Raccoon Race (Music Only)
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