>>Teacher: Well, the thousands cube represents our thousands place.
So let's put that right here.
>>Amanda: The Montessori Math approach works, because it really helps the kids
on each level that they're on.
There is a material made for kids who can't even count yet,
kids who can't recognize numbers, and then also for kids who are ready
to read four-digit numbers.
>>Student: Two-thousand-four-hundred-and-fourteen.
>>Dollie: Montessori Math puts children on a continuum of lessons
and the children go from concrete to abstract.
It starts with the lower-level math lessons,
and it progresses to the most difficult.
>>Amanda: So what do you have to do?
You have to put these numbers in order, and what are you counting to?
>>Amanda: They have a Control Board that they use, and they put the little tiles
in order from one to one-hundred.
And then if a child's really ready, we have an extension to that
where they write one to one-hundred.
>>Dollie: In a traditional classroom,
even though you differentiate instruction,
the teacher has to teach to the group.
In a Montessori classroom, you're able to provide lessons to those children
on exactly the level that they're on.
>>Diana: We're just going to focus on our multiplying by units first.
>>Diana: Every child has their own workplan,
which means that they're all working on different things
at different times in the classroom.
There might be some similarities, for example,
many second years might be learning multiplication at the same time.
But for the most part, it's very individualized.
>>Diana: That's right.
>>Bella: Here's our Math Shelf.
We could count by sliding the beads.
>>Phyllis: I believe that kids can grasp it much easier,
because we use concrete materials to teach math.
>>Phyllis: Two, three, four, five...
>>Phyllis: The Golden Bead lesson begins with "This is a unit.
And then this a ten.
And a ten is ten of the units."
And then we build the hundreds square, and we build the thousand cube,
and they get that understanding of what those numbers mean,
and not just saying those numbers.
>>Rachel: One of the things that Montessori does so well is
that it teaches conceptually.
It doesn't just teach a bunch of fact,
it doesn't just teach you how to remember something.
It teaches you the base concept, and then you go and apply those concepts.
>>Student: This is a five long bead chain.
A six long bead chain.
>>Diana: When it comes to place value, our ones, or we say units,
are color-coded in green, and then our tens are blue,
and our reds are hundreds, and then we say, "There's a new family started."
And then it goes to the thousands, which are green again,
and then the ten thousands are blue.
>>Teacher: So my answer's going to be down here, okay?
>>Amanda: You're going to count to eight seven times,
and then we'll count the total,
and we'll find out what eight taken seven times is, okay?
>>Amanda: Instead of saying "plus" in Montessori, we say,
"Two together with two is four."
>>Amanda: One together with six.
>>Amanda: And the same thing when we do multiplication we say,
"Taken so many times."
When we do subtraction, we'll say, "Take away,"
because "subtract" is a really big word.
But they know what it means to take something away.
They take away toys from their friends all the time.
>>Teacher: We are going to share out the number--
>>Amanda: And then when we do division, we do "shared out."
And those words just make more sense to them.
Once they get the concept, we do teach them the math vocabulary
that is actually what you use.
>>Dollie: As a public school, you have to find that balance.
You have to stay true to the Montessori Continuum, but you also have
to implement State Standards on every grade level.
>>Teacher: And we're still trying to make that magic number seven.
>>Diana: If you look at the curriculum and how it progresses,
then you see that Montessori covers everything.
And in some ways, it covers more than what the standards have offered to us.
>>Rachel: I feel like Montessori Math really increases their confidence,
and helps them to understand that there's that
"try" mentality involved with it.
It's not that, "Oh, you got a bad grade on this, and we're moving on."
It's, "How can we work towards that mastery,
and how can we really fully learn this concept?"