LearnEx Educational Services LearnEx Educational Supplies LearnEx Educational Services Kids

Welcome
Go Shopping
Upcoming Events
Product List
Specials
Jolly Phonics

Homeschooling
Articles
Newsletters
About Us
Customer Feedback
Links
Blog
Forum
Contact Us

Join now!

Why not sign up for our free newsletter? You will receive notification of new products, specials, coming events etc. many of which are only available to our e-mail list.

Subscribe here!


nav

Articles

Number Sense

Just one tiny mistake and the whole thing is wrong! No wonder many children (not to mention quite a few adults) just give up on maths altogether. Here are a few ideas to help make sense of maths …

Make the most of teachable moments. Although we like to have a formal maths at the same time each day in our house, it’s important to not lose sight of the fact that it is a mathematical world. Maths is everywhere. Teach your children to identify numbers and patterns all around them from an early age and don’t be afraid to use the correct terms.

Relate learning to real life. The main purpose of learning maths is in order to use it so we can function in the real world. Do mental maths at every available opportunity and in a natural way e.g. “How many years is it since Grandma last came to stay?”

Hands up for hands-on. Don’t assume that children are too old for hands-on learning. If they have another strong learning style incorporate that as well e.g. getting them to read the problems out loud - or under their breath. Sometimes, being able to see it in a ‘concrete’ (real) way is all they need to make the light switch on.

Check for comprehension.  Can they explain the concept back to you? The ability to reason helps solidify the concept in their minds and allows you to perform some invaluable informal assessment at the same time. NB This applies to all learning, not just maths.

Verbalisation helps to train the thinking. Stick to the same wording while the concept is being taught e.g. When teaching subtraction with renaming (where one of the bottom numbers is larger than the top), I teach the children to ALWAYS start from the top, right hand number and then say “you can’t do that” if the bottom number is bigger. Then I teach them to say to themselves, “so what do I have to do now?” etc. At the end of the lesson you can talk about other possible answers or strategies as you want to encourage creative thinking but too many variations can lead to mix ups e.g. they might start to subtract the top number from the bottom or start with the wrong column. Incidentally, the same principle applies to teaching handwriting; an internal monologue can really help cement the correct formation which reduces the incidence of letter reversals etc.

Teach strategies. Explain what to do when things don’t go right or if they get stuck. Some things that you might like to try include trying three different ways before asking for help, thinking of another similar concept, breaking the task down into steps e.g. 15x13 = 10x10 + 5x3, estimation and self checking.

If in doubt, go back. If there is a mental block, always go back to the point where success is achieved. This of course seems logical but we often don’t follow this principle because we think they should know it just because we have previously taught it. Sometimes it is just to regain confidence before moving on again.

To revise or not to revise? Think about it: what is the main purpose of revision? The answer is to provide practise. This is of course extremely valuable but bear in mind that revision past the point of mastery can be frustrating, especially for a gifted child. Aim for mastery but allow flexibility with your maths programme. If the child has got 100% for the last five pages, maybe you could afford to skip the 6th without affecting his future career prospects… Mindless repetition can not only can create boredom but can actually teach the child not to pay attention, resulting in more errors which in turn result in more practise being given. You are aiming for competence. Once that is achieved, you only need to check that they have remembered the concept from time to time.

And the most important lesson of all…? Teach children not to be afraid of “having a go”. In my opinion, fear of failure is one of THE most important factors contributing to children’s lack of progress in maths. If you can encourage them to try, despite the fact that they might make mistakes, they will be well on the road to maths competence. Often the worst enemy is the child’s own lack of confidence and fear of making mistakes. Help them to see that making mistakes is a way of learning and, if necessary, break the marking process down into steps so they can see where they went wrong e.g. was it an addition error, a careless error or a comprehension error?

 

All the best for maths mastery.

Erena

Erena is married to Alistair and they have two children, Emma (9) and Caleb (5), whom they have been homeschooling since 2002.

Teaching Mathematics through the years…

 

Teaching Math In 1950: A logger sells a truckload of lumber for $100. His cost of production is 4/5ths of the price. What is his profit?

Teaching Math In 1960: A logger sells a truckload of lumber for $100. His cost of production is 4/5ths of the price, or $80. What is his profit?

Teaching Math In 1970: A logger exchanges a set "L" of lumber for a set of "M" of money. The cardinality of set "M" is 100. Each element is worth one dollar. Make 100 dots representing the elements of the set "M." The set
"C," the cost of product ion, contains 20 fewer points than set "M." Represent the set "C" as a subset of set "M." Answer this question: What is the cardinality of the set "P" of profits?

Teaching Math In 1980: A logger sells a truckload of lumber for $100. His cost of production is $80 and his profit is $20. Your assignment: Underline the number 20.

Teaching Math In 1990: By cutting down beautiful forest trees, the logger makes $20. What do you think of this way of making a living? Topic for class participation after answering the question: How did the forest birds and squirrels feel as the logger cut down the trees. (There are no wrong answers)

Calculator image used from Classroom Clipart

 

While every effort is made to ensure all information on this site is accurate, prices and information contained are subject to change and Learnex Educational Services cannot be held responsible. ©2004 All images and information on this site are owned by Learnex Educational Services and their respective partners and must not be reproduced without permission.

Site by Scream Design