Further information regarding GD maths-Replies from IAHP and www.rightbrainkids.com
The IAHP has previously confirmed that the ability to recognize quantity is generally not retained even if taught from birth.
Extract from my latest email to the IAHP along with their response-Thank you for taking the time to reply to my email. I have one remaining question regarding verbal responses. You have confirmed that the very young appear to recognize quantity, and derive some visible pleasure from doing so and that this ability appears to disappear between 2 and 5. Does the ability to do rapid calculations disappear at the same time? Why would a child with competent verbal skills be able to demonstrate an ability to perform complex calculations by selecting the correct card whilst being unable to answer much easier questions verbally?
My investigations on the Internet suggest that the ability to perform rapid mental calculations also appears to disappear between 2 and 5.
This is the reply that i received-
I regret to say that I do not have any reliable data on which to base a reply to your question. I am also not convinced that the assumptions implicit in your question can be validated; I have seen no studies which would validate them. I also question whether the Internet is a reliable source of information on these questions, unless it leads you to studies which are validated; but I certainly wish you will in your ongoing investigations.
Please refer to Subitizing to see details of validated studies along with the earlier reply from RBKids and a question left for Elizabeth.
Details from Right Brain Kids -reply to an email-
Hi, Chris.
Thank you for your e-mail.
Our customer support team has forwarded your e-mail to me. I’m curious
about your background. Are you a father, a researcher, or an educator?
I would like to thank you for your reply regarding the ability to give
verbal responses to equations. I have come across several sites where babies
are able to point at the correct answer if given a choice but have not been
able to locate sites where the child can give a verbal answer. I am aware of
cases where the child is able to point at the correct card-again given a
choice-but is unable to answer verbally even though their language skills
are well developed. This is very confusing and suggests that the baby/young
child might be responding to gestural cues.
PAMELA: I know it seems like children are responding to gestures, but it
is not the case. The right brain can communicate through pointing. The
left brain organizes language. So, what is happening is that the left
brain cannot express the genius-like subitization ability of the right
brain. Babies function out of the right brain, before the left has had a
chance to develop fully. I know it seems like children are responding to
gestures, but it is not the case. Infants are more accurate with math dot
and word recognition. As the left brain develops, this ability fades and
then you teach the whole brain at that point with new techniques that
combine both hemispheres.
I am wondering whether it might be more effective to teach Dot Maths using
regular arrangements along with varying color/dot size to draw attention to
the number bonds that exist. r=red b=blueRRRRR BBBBB
RRRRR BB to represent 17 etc.6+6 RRRRRB CLEARLY EQUALS 10+2
RRRRRB
PAMELA: Yes, that is how we teach it to older children–those who are
viewing and expressing with more of the left brain involved.
Obviously if there are examples of babies progressing to giving verbal
responses then this method would not be required.
PAMELA: When the baby is able to give verbal responses, then they have
“bridged” over to more left brain thought–and no longer in the more
sponge-like right brain state.
From these responses it appears that the ability to perform rapid mental calculations is also not retained.
The random dots probably help develop number sense but progression to a more regular representation of quantity would possibly be required at some stage.