This video shows a ten frame and gives tips on how to instantly recognize how many chips are in the ten frame. The goal with this type of exercise is the ability to ...
This is beyond stupid, and I predict this relatively untested methodology
(as opposed to nearly a hundred + years of public education which managed
to NOT crank out generations of math illiterates) is going to ruin the
ability of children to understand more advanced math because they will be
always reaching for this silly, one trick pony of decomposing a number into
the nearest 10, which is quite limiting once you get to another base
system, such as binary, octal or hex, (you know, as in any computer
language, which of course these same geniuses largely have ignored despite
decades of obvious need.)
So instead of the old way, which relied upon the exact same strategy as a
computer: (rote memorized lookups into a table of common decimal
operations, combined with simple repeatable set of steps against the
current position's range as defined by the radix), we have kids counting
hieroglyphics with their eyeballs, Because after all, we use hieroglyphic
for encoding all sorts of communication, as opposed to a small set of 26
symbols that are arranged in predictable patterns. ...oh wait, no we
don't. It's teaching base 10. That's a stupid approach when you compare
the algorithmic way that teaches you how to add subtract, multiply and
divide in ANY BASE SYSTEM.
+Mark McTernan As a teacher we try to show children MULTIPLE strategies to help them understand number concepts. Ten frames are a great tool to introduce many things, like doubles, even, odd, etc... It is definitely not a one trick pony. I hope this clears up your confusion.
+Mark McTernan Mark the goal of this activity is subitization. Subitization is the ability to instantly recognize the number of objects in a picture without counting. Most people can easily subitize to 5. Between 5 and 10 it is easier to subitize if the objects are arranged in a meaningful way - for example a ten frame. Some people can subitize much higher numbers- think RainMan. Some people are natural counters (it sounds like you are one of them). Other people have weaker number sense and perform even the simplest computations with highly inefficient counting methods. This ten frame is a scaffold to help very young children to bypass counting and instantly subitize the quantity in the picture. Because we use a base 10 number system, the 10 frame scaffold continues to be useful with addition and subtraction. It could help a child to mentally calculate 37 + 5, for example.As Andrew stated, this strategy is nothing new, although the ability to access with technology is new. The pictures from this video are taken from an interactive website. I recently read this quote "Education is built up with facts, as a house is with stones. But a collection of facts is no more an education than a heap of stones is a house." I absolutely agree with that quote AND I think the flip is also true. If you had to constantly go searching for stones while you were building, you'd never finish your house. Sadly, I think this is the case with math education valuing conceptual understanding at the cost of procedural fluency. I agree that memorization and the use of algorithms are highly effective skills which are essential to learning math. I hope that you will see that the goal of this activity is to assist students with memorization AND to provide meaning to the symbols they manipulate when they compute.
+david garrett Anyone that wouldn't select rote memorization and repeated algorithms over this ridiculously inefficient visual object counting is a flat out idiot, because it is fixating on one trick that may be easy to teach but is totally inefficient. Binary computers, which can execute a billion operations a second, use lookup tables and repeatable algorithmic functions because it's the fastest way to do it and is universal in it's application, even if you have to convert the answers to a different base. For this reason alone I would suggest it is very shortsighted to not teach children how to count like a very slow computer.This is teaching a combination of Summarian tick counting and Egyptian hieroglyphics (assuming you are modeling different powers of 10 with different symbols), to teach what? How to count in various powers of 10. Will that be applicable to other bases? No? Er.. eh.. but... -But nothing. this is a stupid one trick pony that will render most kids unable to do even simple operations without doing a bunch of unnecessary operations in their head. Quick kid, what's 37845 % 45? Ok, I'll just wait to collect social security while you get down on that clay tablet.
+david garrett One cannot use a brain for ignorance. Ignorance is a lack of learning and thereby implies that you do not use your brain. something may be a more effective way of learning but it does not make the other way ignorant. It makes it outdated or old-fashioned or less effective. Learning the times tables and other memorization is not as effective, but it is not ignorant. Also, ten frame is nothing new. How many kids in the 80s or 90s used candy or other objects to simulate addition and subtraction? You rebox something and treat anyone that doesn't love it as an utter moron. This doesn't help either.
Getting Started with Ten-Frames
Use ten frames to master counting, addition basic facts, place value, odd and even numbers. Especially effective for intervention, special education, Title 1, and ...
Introduction to Ten Frames for Teaching Numbers to 10 or 20
Ten frames are a simple yet powerful teaching resource for representing numbers to 10 in a way that is easily subitized (recognized without counting). This video ...
How to use a ten frame.dv
I created this video for my arts integration course. It is an introduction to using a ten frame.
This is actually a little different than they're teach my daughter - they
use two different color dots, but you fill up the boxes sequentially
instead of two rows.