Teaching Math at an Earlier Age

Saying students would have more success in the future, a new report (PDF) from the Aspire Institute at Wheelock College is urging schools to start teaching math and science skills as early as pre-kindergarten.

Why is it that some children seem so curious and eager to learn? How do you raise capable, confident children who seek intellectual challenges? How do you support your children’s learning so that they grow to be imaginative, creative, intuitive, capable, competent, self-motivated, persistent, and know that effort is necessary for achievement? As a parent, I’ve asked myself this question numerous times. As an elementary teacher of many years, I continue to hear parents ask those very same questions. Good! They have begun their journey!

As an educator, I also know that the role of the family in early childhood education (birth to 8 years old) is enormously significant. Research has shown decisively that children’s experiences during early childhood not only influence their later functioning in school but also can have significant lifelong implications. Experiences during the earliest years of formal schooling are also formative. Studies demonstrate that children’s success or failure during the first years of school often predicts the course of later schooling.

It’s common knowledge that young children whose parents read to them have a tremendous advantage in school. But did you know that you can also help your child learn mathematics by doing and supporting math at home?

Today mathematics is more critical to school success than ever before. Modern occupations now require a firm foundation in mathematics – and that’s true for almost any type of job your child will consider in the future.

How you encourage and promote your child’s math learning, from preschool to high school, can be pivotal to their attitude toward math and their achievement in this subject area. Children are taught math in school, but research shows that families are an essential part of this learning process. In other words, by doing math with your child and supporting math learning at home, you can make a great difference.

There are many ways to make math part of your family’s life. Consider the following checklist of key ideas:

• Always talk about math in positive ways. Regardless of your own math background, let your child know that learning math is very important. Communicating a positive, can-do attitude about math is the single most important way for you to ensure that your child is successful in math. Never tell your child that math is too hard or that you hated it or weren’t good at it when you were in school.

• Make math an everyday part of your family. Find math at home. Spend time with your child on math games, puzzles, and activities that involve math. Involve your child in activities like shopping, cooking, and home fix-it projects to show them that math is practical and useful.

• Notice math in the world. You can help your child see the usefulness of math by pointing it out wherever you see it – not just in your home. What shape is that building? How many more miles before we get there? How many glasses of milk are in a carton? How much will you save if you buy a combo meal at McDonald’s?

Math games are a great place for preschoolers to begin. There are many games in the Kindergarten math games manual that are appropriate for 3 to 5 year olds.

Math and Summer Brain Drain

Summer brain drain іѕ thе widely acknowledged loss οf academic skills whісh happens during the two to three months of summer vacation. Studies cite anywhere frοm аbουt 2.5 months tο 3 months οf learning lost οr forgotten whеn skills аrе nοt being practiced.

Studies show that math skills deteriorate the most. Children forget at least one month of math each summer, and that loss is cumulative. Your child will forget about a year of math instruction over the 12 years of schooling. Many οf thе computational skills whісh generally аrе nοt practiced over thе summer, аrе simply forgotten.

What can parents, who worry аbουt keeping their kids аt thе top οf thеіr game, do? Involve your children in math that keeps their computational skills up and yet is engaging and fun! If pleasure is not a part of what they are doing, neither you or the children will be willing to do it very much or for very long.

I’ve been teaching math to children for many years, and I’ve found that math games are, from a teacher’s and a parent’s point of view, wonderfully useful. Math games put children in exactly the right frame of mind for learning. Children are normally very eager to play games. They relax when they play, and they concentrate. They don’t mind repeating certain facts or procedures over and over.

Children throw themselves into playing games the way they never throw themselves into filling out workbook pages or dittos. And games can help children learn almost everything they need to master in elementary math. Good, child-centered games are designed to take the boredom and frustration out of the repetitive practice necessary for children to master important math skills and concepts.

Playing math games is even more beneficial than spending the same amount of time drilling basic facts using flash cards. Not only are games a lot more fun, but the potential for learning and reasoning about mathematics is much greater, as well. In a non-threatening game format, children will be more focused and retention will be greater.

Games solidify the achievements of children who are already good at math, and they shore up children who need shoring up.

Involve yουr kids wіth math games. They will hеƖр уου know аnԁ focus οn уουr child’s computational weaknesses and strengths. Thіѕ summer, give уουr child thе opportunity tο hаνе fun, ɡеt a step ahead οf thе coming school year, and gain an advantage over their peers.

Polish those math skills with math games thіѕ summer, аnԁ уουr student wіƖƖ shine later!

Kids + Math Games = Super

Parents are their children’s first and most enduring teachers. Even the best teacher your child encounters in school will only be with your child for a year, perhaps two. Even after children enter school, they spend seventy percent of their waking hours outside of the school setting. As a parent, you have greater opportunity to make a difference, to teach, model, and guide your child’s learning, than anyone else. You have a more intimate knowledge of your child’s needs and talents. You have a keener interest in your child’s schooling and future, and deeper motivation to help your child succeed. No one is better placed or more qualified than you to make a difference in your child’s academic and lifelong education.

Keeping in mind the profound impact you can have on your children as readers, writers, mathematicians, and scientists, what can you do to turn your home into a rich learning environment? I don’t mean bring out the worksheets, flash cards, and dittos. It is about offering your children experiences that are most appropriate – learning experiences that are fun for all, a part of your everyday lives, and are deeper, richer, and longer lasting. These kinds of experiences develop children who are more persistent, more creative, and eager to do challenging work.

I have a suggestion for mathematics – math games.

Math games for kids and families are the perfect way to reinforce and extend the skills children learn at school. They are one of the most effective ways that parents can develop their child’s math skills without lecturing or applying pressure.

When studying math, there’s an element of repetition that’s an important part of learning new concepts and developing automatic recall of math facts. Number facts (remember those times tables?) can be boring and tedious to learn and practice. A game can generate an enormous amount of practice – practice that does not have kids complaining about how much work they are having to do. What better way can there be than an interesting game as a way of mastering them?

Games offer targeted practice in math fundamentals. And games can, if you select the right ones, help children learn almost everything they need to master in elementary math. Good, child-centered games are designed to take the boredom and frustration out of the repetitive practice necessary for children to master important math skills and concepts.

Your kids – whether you’re a parent or teacher – will learn, without even realising they are learning.

Math Games and Summer Vacation

Just because school will soon be out for the summer, it doesn’t mean a child’s brain should stop working. In fact, keeping a child’s mind fresh with review, as well as new ideas, can keep those brains in tip-top shape for the following school year.

During the summer, it is important to help your children retain and enhance what they learned in school. Most kids don’t want to sit down and do anything educational during the summer, so this can present a challenge.

Math skills, particularly, can be hard to retain during summer vacation. Kids may spend hours reading books at the beach and doing crafts at camp, but doing math can be extremely unappealing.

Teachers know that the several months off for summer vacation sees considerable slippage in their students’ math skills. Kids who practice summer math will have an easier time transitioning back to school, while kids who don’t may lose a couple months of learning.

Don’t let this summer be a math-avoidance time. Who says math has to be something your child dreads? It should, instead, be something the child looks forward to and thrives on. The trick is to teach your kids math by combining it with fun activities.

Many years ago I discovered that math games fit the bill wonderfully! Math games put children in exactly the right frame of mind for learning. Children are normally very eager to play games. They relax when they play, and they concentrate. They don’t mind repeating certain facts or procedures over and over. In an engaging math game, children will be more focused and retention will be greater.

Dittos, flashcards, or workbook pages are not appropriate if you want your child to be excited about math. Children throw themselves into playing games the way they never throw themselves into filling out workbook pages or dittos.

Games offer a pleasant way for you to get involved in your child’s math education. You may be one of those many parents who don’t feel comfortable with math, or who assume it takes special expertise to help your child. Believe me, as a veteran teacher, when I say that you don’t have to be a math genius to play a game. With a math game, you don’t have to worry about pushing or pressuring your child. All that you have to do is propose a game to your child and start to play.

Games can help your child learn almost everything they need to master in elementary math. Games solidify the achievements of children who are already good at math, and they shore up children who need shoring up.

There are plenty of fun math games that you and your children can play to help them retain their math skills. Get a jump start on the coming school year! Sit down and play some math games with your children.

Getting Young Children Excited About Math? YES!!

Research indicates that early learning has lasting results. When we look at child development studies, we find that between birth and age 7, children enjoy their greatest learning curve. They have a strong, basic desire to learn. They are like sponges, soaking up everything around them. They are unintimidated, curious, eager to learn, and love to be active.

It’s the perfect time to get these children excited about math! How do parents of young children do that? The NAEYC (National Association for the Education of Young Children) has some great suggestions, one of which is to use math games to prompt interest and development in math.

“Play is one of the most important ways children learn about their world and master skills for coping with it. Games are a particularly useful form of play that help children develop mathematical concepts and reasoning and practice basic mathematical skills. In addition to being challenging, interesting, and enjoyable for children, games provide a means for structuring experiences to meet children’s developmental needs. Games can salso serve as an invaluable diagnostic tool. By observing a child playing a particular math game, parents can detect specific strengths and weaknesses in mathematical concepts, reasoning, and skills.”

The following is a very simple, fun game for 3-5 year olds:

Five to Win
What you need:
2- 4 players
cards 1 – 5, 4 of each

The object of the game is to be the first player to get the cards 1 – 5.

Shuffle cards and deal five cards to each player. Place the remaining cards in a pile face down with the last one turned over as a discard pile. Player #1 selects a card from the face-down pile or the discard pile and fits it into sequence in his/her hand. That player must then discard one card to always keep five cards in their hand. Player #2 does the same. When the sequence 1-5 is complete, the player calls out “Five” and lays down their cards.

Variation: As children become more skilled in handling their cards, the sequence 1-10 can be introduced.

Basic Math Skills and Meaningful Jobs

Being able to read, write, and do basic math is a requirement for almost any meaningful job these days. The reason we have to spend so many resources on remedial work, whether that be at universities, community colleges or other adult education programs, is some adults did not learn their basic math facts when their young minds were most capable of learning.

That is true today, and it will be true in the future. In order for your child to have success with more advanced math, and be prepared for a future with a meaningful job, it is essential that they memorize their basic math facts to the level of automaticity.

Your child is introduced to basic math concepts such as counting and simple adding in kindergarten.

First graders and second graders should have addition and subtraction combinations to 20 at their fingertips.

Third graders and fourth graders need to master the multiplication tables to 12×12 and the related division facts.

The exact order and manner in which math facts and concepts are introduced varies with the curriculum your child’s school uses and math standards, which can vary from state to state, but the above is a general guide.

Essentially, your child should demonstrate mastery of these types of facts by the end of fourth grade in order to be prepared for the challenges of more advanced math. It may come quickly for your child, or it may take time, but through focused practice, they will be able to increase their proficiency.

This can be achieved through skill and drill repetition (dittos, workbook pages, timed tests, and/or flashcards) which is usually extremely boring and tedious. There is another more effective, creative, and fun method. Math games! Games are engaging (maintain interest); dittos, workbook pages, or flash cards rarely are.

Parents can offer greater opportunities for their child to succeed in math if they support the learning of the basics at home. Games fit the bill wonderfully!

Math games for kids and families are the perfect way to reinforce and extend the skills children learn at school. They are one of the most effective ways that parents can develop their child’s math skills without lecturing or applying pressure. When studying math, there’s an element of repetition that’s an important part of learning new concepts and developing automatic recall of math facts. Number facts (remember those times tables?) can be boring and tedious to learn and practice. A game can generate an enormous amount of practice – practice that does not have kids complaining about how much work they are having to do. What better way can there be than an interesting game as a way of mastering them?

Games are fun and create a context for developing children’s mathematical reasoning. Through playing and analyzing games, children also gain computational fluency by describing more efficient strategies and discussing relationships among numbers.

Games teach or reinforce many of the skills that a formal curriculum teaches, plus a skill that math homework sometimes, mistakenly, leaves out – the skill of having fun with math, of thinking hard and enjoying it.

Rethinking Math Homework

Parents are concerned about their children’s basic mathematics skills and, oftentimes, ask teachers for more skills-based homework. As a result, teachers send home worksheets and workbook pages so that children can practice basic skills.

I am a firm believer in children learning the basic skills. More and more in my teaching career, I see that children no longer memorize their addition facts or multiplication tables. Students should have math facts at their fingertips, such as addition and subtraction combinations to 20, multiplication tables to 12×12, and related division facts. Children learn some of these facts easily, but memorization is still necessary (and often painful) to learn all of the facts.

With the math curriculum as extensive as it is, teachers cannot afford to take the time to ensure that students learn the basic facts (sad, but true). Parents are partners in the process, and can offer greater opportunities for their child to succeed in math if they support the learning of the basics at home.

What options other than the traditional rote worksheet exist? Math games fit the bill wonderfully! Teachers, I encourage you to consider sending home math games as a regular part of your homework.

Math games for kids and families are the perfect way to reinforce and extend the skills children learn at school. They are one of the most effective ways that parents can develop their child’s math skills without lecturing or applying pressure. When studying math, there’s an element of repetition that’s an important part of learning new concepts and developing automatic recall of math facts. Number facts (remember those times tables?) can be boring and tedious to learn and practice. A game can generate an enormous amount of practice – practice that does not have kids complaining about how much work they are having to do. What better way can there be than an interesting game as a way of mastering them?

Games are fun and create a context for developing children’s mathematical reasoning. Through playing and analyzing games, children also gain computational fluency by describing more efficient strategies and discussing relationships among numbers. Games teach or reinforce many of the skills that a formal curriculum teaches, plus a skill that math homework sometimes, mistakenly, leaves out – the skill of having fun with math, of thinking hard and enjoying it.

Helping Your Child Build Basic Math Skills

Here are some ways to encourage your child to develop solid math skills throughout the elementary years, suggests an article in Louisville, Kentucky’s Courier-Journal.com.

I agree with every single suggestion except for the last one – “Buy a few inexpensive, age-appropriate math workbooks for your child to use at home.”

As an elementary math specialist, parents often ask for suggestions about activities to do with their children at home to help further their mathematical understanding. I’ve been teaching math to children for many years, and I’ve found that math games are, from a teacher’s and a parent’s point of view, wonderfully useful. Math games put children in exactly the right frame of mind for learning. Children are normally very eager to play games. They relax when they play, and they concentrate. They don’t mind repeating certain facts or procedures over and over.

Children throw themselves into playing games the way they never throw themselves into filling out workbook pages or dittos. And games can help children learn almost everything they need to master in elementary math. Good, child-centered games are designed to take the boredom and frustration out of the repetitive practice necessary for children to master important math skills and concepts.

Playing math games is even more beneficial than spending the same amount of time drilling basic facts using flash cards. Not only are games a lot more fun, but the potential for learning and reasoning about mathematics is much greater, as well. In a non-threatening game format, children will be more focused and retention will be greater.

Games have another use, too. They offer a pleasant way for you, as parents, to get involved in your child’s mathematics education. You don’t have to be a math genius to play a game. You don’t have to worry about pushing or pressuring your child. All that you have to do is propose a game to your child and start to play.

Math games for kids and families are the perfect way to reinforce and extend the skills children learn at school. They are one of the most effective ways that parents can develop their child’s math skills without lecturing or applying pressure. When studying math, there’s an element of repetition that’s an important part of learning new concepts and developing automatic recall of math facts. Number facts (remember those times tables?) can be boring and tedious to learn and practice. A game can generate an enormous amount of practice – practice that does not have kids complaining about how much work they are having to do. What better way can there be than an interesting game as a way of mastering them?

Memorizing the Basic Facts with Math Games

Frank L. Palaia, PhD, is a science teacher in the Lee County School District and at Edison State College. As a guest columnist for the News-Press.com of Ft. Myers, Florida, he had this to say about students in his classes, “Most students today have not memorized basic math facts in elementary and middle school. Each year there will be otherwise intelligent junior or senior students in my high-school classes who asks a question like, “What is eight times seven?”

As an elementary math specialist, I see that children no longer memorize their addition facts or multiplication tables. With the math curriculum as extensive as it is, teachers cannot afford to take the time to ensure that students learn the basic facts (sad, but true).

Parents are partners in the process, and can offer greater opportunities for their child to succeed in math if they support the learning of the basics at home. Math games fit the bill wonderfully!

Math games for kids and families are the perfect way to reinforce and extend the skills children learn at school. They are one of the most effective ways that parents can develop their child’s math skills without lecturing or applying pressure. When studying math, there’s an element of repetition that’s an important part of learning new concepts and developing automatic recall of math facts. Number facts (I’m sure you remember memorizing those times tables?) can be boring and tedious to learn and practice. A game can generate an enormous amount of practice – practice that does not have kids complaining about how much work they are having to do. What better way can there be than an interesting game as a way of mastering them?

Games are fun and create a context for developing children’s mathematical reasoning. Through playing and analyzing games, children also gain computational fluency by describing more efficient strategies and discussing relationships among numbers.

First graders and second graders need to have the addition facts to 10 in long-term memory. When they hear 6+4, they immediately know (without counting fingers) that the answer is 10. Using fingers to count is a good, early strategy but with practice, those facts should be automatic.

Third graders and fourth graders need to have all of the multiplication facts to automaticity.

Methods such as flash cards, dittos, and workbook pages stress rote memorization of basic number facts and are usually boring and do not require learners to participate actively in thought and reflection. They do not go easily or quickly into long-term memory.

Games teach or reinforce many of the skills that a formal curriculum teaches, plus a skill that math homework sometimes, mistakenly, leaves out – the skill of having fun with math, of thinking hard and enjoying it.

The Perfect Math Game!

Are you looking for creative and engaging ways to help your students/children learn basic math concepts and skills?

Teachers and parents often ask for suggestions about activities to do with their children at school and at home to help further their mathematical understanding. I’ve been teaching math to children for many years, and I’ve found that math games are, from a teacher’s and a parent’s point of view, wonderfully useful. Math games put children in exactly the right frame of mind for learning. Children are normally very eager to play games. They relax when they play, and they concentrate. They don’t mind repeating certain facts or procedures over and over.

Children throw themselves into playing games the way they never throw themselves into filling out workbook pages or dittos. And games can help children learn almost everything they need to master in elementary math. Good, child-centered games are designed to take the boredom and frustration out of the repetitive practice necessary for children to master important math skills and concepts.

Playing math games is even more beneficial than spending the same amount of time drilling basic facts using flash cards. Not only are games a lot more fun, but the potential for learning and reasoning about mathematics is much greater, as well. In a non-threatening game format, children will be more focused and retention will be greater.

Math games are the perfect way to develop, reinforce, and extend children’s math skills without lecturing or applying pressure. When studying math, there’s an element of repetition that’s an important part of learning new concepts and developing automatic recall of math facts. Number facts (remember those times tables?) can be boring and tedious to learn and practice. A game can generate an enormous amount of practice – practice that does not have kids complaining about how much work they are having to do. What better way can there be than an interesting game as a way of mastering them?

One of the most effective and engaging math games is War. It has many variations. Give one or more of the following a try:

More or Less

Many of you may know this game as “War”. For mathematical purposes, I think it is more appropriate to call it “More” or “Less”.

What you need:
2 players
1 deck of cards

Shuffle cards well and deal them face-down equally to all players. Players do not look at their cards. All players turn over their top card at the same time. The player with the greatest number (More) collects all the cards. In the event of a tie, players turn over one more card and put it on top of their first card. The player with the biggest number takes all four cards.

Each player might add the two cards together and the player with the biggest total would take all four cards. Or the biggest number on the second card turned over could be the winner. You decide what is most appropriate.

You follow the same rules to play “Less”. The player with the smallest number wins the cards.

Variations:

• Addition War – Each player turns over two cards and adds them together. The player with the greatest sum or the smallest sum (you decide which) wins all four cards.

• Addition War (3, 4, 5, etc. addends) – Each player turns over three cards and adds them together.

• Subtraction War – Each player turns over two cards and subtracts the smaller number from the larger number. The player with the smallest or greatest difference (you decide which) wins.

• Addition and Subtraction War – Each player turns over two cards and adds them together. Then each player turns over one more card and subtracts it from their sum. The player with the greatest or smallest difference wins. I like this game because it involves the use of two operations.

• Product War – Turn up two cards and multiply.

• Product War II– Turn up three (or more) cards and multiply.

• Product War (advanced) – Each player turns up three cards and moves them around and arranges them in a problem where two-digit number is multiplied by a one-digit number. The player with the greatest or least product (you decide) wins.

• Division War – Each player turns up three cards and moves them around and arranges them in a problem where two-digit number is divided by a one-digit number. The player with the least or greatest quotient (you decide) wins.

• Fraction War – Each player turns up two cards and use the larger card as the numerator and the smaller card as the denominator (or vice versa, whichever you choose). The player with the greatest or least fraction (you choose) wins.

• Integer Addition War – Each player takes two cards and adds them together. Red cards are negative (I’m in the red), and black cards are positive. The greatest sum wins.