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Unknown: Music. Hello and
welcome to tier one

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interventions Podcast

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with your hosts, jonily Zupancic

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and me, Cheri Dotterer And I
like that you interrupted me

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there because sometimes their
understanding of number and

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their understanding of visual
perception are not aligned.

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Hello and welcome to tier one
interventions podcast where we

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share with you tips, techniques
and strategies to strengthen

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your core. The core classroom
that is in the last episode of

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tier one interventions, John Lee
was training on number sense and

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how dots relate to number at the
end of what we've shared last

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time, we're going to continue
that conversation with a

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question that she asked me. So
tune in and find out what she

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asked.

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Sherry. I don't even know what
question I have for you, but

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what are your thoughts on all of
that? What are the struggles

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that kids have. What are the
deficits that kids have with

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visual perceptual What are many
of the positive aspects of

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classroom teachers using visuals
to gain access to the

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curriculum, and specifically the
math curriculum? What is

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happening in the brain that is
going to support what we're

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trying to teach in tier one
interventions. I'm going to let

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you take it away a little bit
and make some of these

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connections for us through
cognitive science and

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neuroscience.

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And there's another thing you
said, I'm giving you a lot right

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now. I know that you always talk
about what the brains crave and

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what toddlers naturally do like,
I'm asking you, like, 52

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questions at once, but you just
take it away and give us your

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insight on how cognitive science
matches what we're talking

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about. Constantly, we were
having pre discussions about

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what we were going to talk about
today. We've had discussions

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about dots for a long time, you
and I, we've had conversations

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with some of our students in the
past about dots, one of the dots

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patterns that you utilize to
represent equation. We have some

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samples from kids that we have
looked at in the past. But one

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of the things that triggered me
earlier this week, we were

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talking about representation of
dots in a different form. We

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were looking at it with a board,
and one of the things that I was

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thinking about was representing
dots on a pegboard.

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We have these different dots
available. What I don't have is

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one of those foam boards. I just
don't have any in stock at the

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moment there at school, and you
know how that is. But they often

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have this big knobby peg that's
three times this size. It has

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that knob on the end, like this
one

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was it? Those big knobbies are
going to be better for kids who

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are struggling with fine motor
skills. What's nice about foam

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is you can pop it in and out,
because looking at different

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ways that we represent dots. The
other way is really a bigger

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dot, but parketry also creates
patterns like dots. For those of

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you listening to the podcast, I
suggest that you pop over to the

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YouTube channel and look at this
segment so that you can see what

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we're talking about, because the
dot representations and how the

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kids represented the pattern
that they were copying is really

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impactful.

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These dots represented on a
piece of grid paper. I don't

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know if you can see the dots in
here, but she was trying to

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mimic an image that she had seen
earlier that day.

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Jason was trying to mimic the
image. Was a bit of a shot. We

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can see the dots a little bit
better on on this image.

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You need to know what the image
was, to know whether he's doing

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a good job at representing that
the images, but he's keeping his

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circles inside the dots. He's
doing a pretty nice job of

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representing the fine motor
skills.

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This little one, Lacey, she made
circles out of it. She got

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started, but got stuck on
expanding Lane looks like the

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top part of it is formed nice.
It's got nice circles, and the

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nice hand form on the pencil
looks like he's got a pretty

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nice pencil grip. And we come up
with something like this that

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Zane did, and he knew he.

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Was trying to make an X, but had
no idea how to represent the

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blocks and the dots. Karen, it's
almost there's a left side and a

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right side. They're all
separate. They're not blended.

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She had the idea, but could not

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write it and represent it. This
is what happens with a lot of

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kids with writing skills, the
there's a disconnect between

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what they see visually and what
they can put on paper. One of

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the reasons that John Lee and I
really meshed when we first met

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is we have in mathematics a need
to understand and relate some of

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the disconnects there are
neurologically with what they're

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seeing in the math classroom.

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Chris is working. He's got an
okay pencil grip. He looks like

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his. He could be doing a little
bit better with his grip. He's

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loose on there, but he's making
circles. He started at the

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outside, so he knew he had to
start wide and come to the

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middle.

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He may be processing it a little
bit slower than some of the

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other kids. Then we have this
one. She knew she was making an

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X, but that's all that she can
manage.

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And here we have one is, oh,
this is wrong. Oh, this is

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wrong. And doing a lot of
erasers. That's what happens

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with kids with memory issues.
They'll do a lot of erasers. And

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perfectionists also want to do a
lot of erasers and crossing out

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and redoing things. Sherry, I'm
gonna say something here about

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Jeb, that last one that you did
in looking at just without

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knowing the context, you might
think that Jeb has a lot of

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deficiencies and gaps. Jeb does
have some interesting brain

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disconnects,

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but from this picture, you can't
tell this. And I know who this

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student is. He actually,
conceptually, is very high

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achieving mathematically.
Sherry, this proves, on this

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one, the disconnect between what
kids are seeing, what's in their

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brain, what they can analyze
mathematically, which sometimes

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is a higher level than the
teacher. And these kiddos were

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in kindergarten at the time, and
he was actually teaching me

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things about mathematics, but
then to show that on paper, it

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is a huge struggle for him and
pushing on the pencil very

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heavily. So he's got some other
issues. I'm going to say,

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however, they're not with math
content. So I wanted to point

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that out on this picture.

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Then we have somebody like Ray,
who is not

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maybe the fine motor, and making
the dot wasn't good, but he's

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still doing three by three
squares that he's coloring them

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in. Somebody Melissa thought she
did a fantastic job. Our friend

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Randy. Randy had a real
difficult time with his visual

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perception.

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Whether he had initiation of
tasks, those executive functions

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were getting in the way, or he
really had no concept, but he

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knew he had to do something on
paper. I hope that represents

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and answers a little bit about
where you wanted me to go.

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Generally,

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look at visual spatial
dysgraphia. Dots are they

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staying within the lines and the
bottom lines, are they able to

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see the overlaps of the dots?
Are they able to

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represent what they see
visually? And that's one of the

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reasons I've like your what do
you see? Question, because if we

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can have them verbalize what
they're seeing first before we

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write it down, we can more

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differentially analyze where the
disconnect is. Is it the visual?

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If it's the visual, we need to
start there. Is it what they're

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writing? Is it that motor skill,
is there some disconnect with

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their memory? It's breaking it
down into its parts, looking at

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it from a visual, a motor and a
memory standpoint,

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we're looking at it to try and
differentiate where the

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neurological gap is you're
looking at and then how do they

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represent their understanding of
number?

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And I like that you interrupted
me there, because sometimes

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their understanding of number
and their understanding of

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visual perception are not
aligned. And.

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Yeah, I like that you
interrupted me there, because

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sometimes their understanding of
number and their understanding

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of visual perception are not
aligned, that what you just

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said, they're not aligned
creates, and I haven't talked

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about this yet, but that false
negative kiddo, I'll explain

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what I mean by that. Earlier I
talked about the false positive

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kiddo that is appearing to
achieve high does well on tests,

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can mimic the notation, but
doesn't have this deep sense of

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conceptual understandings when
given something out of context,

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or a more comprehensive test,
like an A CT, they don't score

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well there, and we're confused
as the adults, because it

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doesn't match what we typically
see from them in school. On the

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flip side of that, we get these
kiddos that what Sherry just

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said, the mathematics and the
visual perception, they don't

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align. So we get a false
negative reading on kids when

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we're asking kids to replicate
or use the visual to figure out

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the mathematics. Many of them
struggle to do that on paper.

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That's that misalignment that
Sherry's talking about. When

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that misalignment happens, I
can't use that paper form to

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truly assess what the kids
understanding is in that

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specific example that she had
just shown we have to be really

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savvy as the adults to know if
this is a misalignment, and not

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falsely

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target a child for math
intervention that actually has a

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separate issue, and it's not the
mathematics. This is how we

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expose conceptual understanding
in mathematics by using these

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dots, and that's what I mean by
assessment of watching these

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kids work. We had a session not
too long ago where one of our

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participants, one of our
teachers on the session, said,

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is what you're talking about,
like, when kids know the answer

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but they don't show their work.
And that's absolutely what I'm

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talking about here. Kids that
can look at DOT images or look

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at mathematics and they're
accurate, they can actually

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solve, they can actually count,
they can get the answer. And we

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demand that they show their
work. This sometimes is a demand

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that the kiddo is just not
capable of. They just physically

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can't now that's what they need
the intervention for. But what

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happens is, oftentimes, we give
them this lecture. If you don't

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show your work, I can't give you
partial credit, so I have to

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take all the points away. What
we're doing is we're reducing

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the number of points they get
based on something they're not

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even capable of doing. When
we're thinking about

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intervention, whether it's math
intervention or therapy

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intervention, we need to be able
to analyze and work with as

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classroom teachers and
educators, be able to work with

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our direct service providers to
make sure that we're assessing

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the correct thing. If you have a
kid that's not showing their

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work in mathematics, it's
probably because that is where

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they need the intervention to
help them show on paper what

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they're getting accurately.
Because, again, they probably

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know more mathematically than we
do as teacher,

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but where their deficit is being
able to articulate that and

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those false negative kids, which
means they know more mathematics

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than what we're giving them
credit for. Those are the kids

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that we sometimes say, Oh, they
just don't test well, no, they

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just aren't seeing the notation
and symbol, and they're just not

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able to replicate that. And
that's where we need to provide

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the intervention, which one of
the interventions is giving them

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more experiences on creating
mathematics using dots. Picture

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is not 1000 words. Go ahead,
Sherry, one of the things that I

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want to emphasize to the
occupational therapists that are

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listening to this is, please
include the symbols, math

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symbols in your therapy
sessions, explain why a

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parentheses goes to the right
versus goes to the left. Explain

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it, and not just in literacy
terms, but also explain it in

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its connection to mathematics.
What are three ways that you can

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represent the divide sign. You
have the dots on the top and the

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bottom. You have a fraction
which just has the line, and you

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have a horizontal equation. You
can have it with the thing

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almost looks like a square root
that line, you've got the dots,

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you've got just a line. And what
are some of those other ways

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that you can talk to your
students about the

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representation of those symbols
and make connections for

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mathematics? I think I just in
my brain, created a new

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worksheet for my.

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How many ways can you represent
the divide sign? I remember,

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gosh, we were working together.
Maybe this was back in 2019

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it was, I'm pretty sure it was
before covid, and you put up

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something that to this day, I
still go, I

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she went off on a crazy tangent,
and I still don't know that I

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fully understand it, and I
represent it often, because it

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made that much of an impact on
me. And you asked me, How many

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ways can I write eight over 12?
And I looked at you and I went,

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give me a calculator, because to
me, I automatically know what

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the procedure is. I know how to
get the answer on the

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calculator.

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Don't ask me, How many ways to
represent it. You did this thing

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called 20 ways, and one of the
ways that you did it was with

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dots, and that was different
ways to represent that

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particular number, and I just
sat back

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and I went, I have a long way to
go with understanding

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mathematics. And I thought that
I understood mathematics until I

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sat with you for a day.

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But that really sums up my story
as well. I was that I'm going to

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say false positive kid in K 12,
I achieved high I was always

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told I was good at mathematics.
I always had this perception

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that I was good at mathematics.
Got good grades in mathematics.

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So I decided to actually major
in a mathematics area in

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college, I started in Actuarial
science, but as a sophomore in

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college, I failed my first math
class, and it really made me

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question my own understanding,
just like Sherry said she came

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to that realization at some
point that, wow, do I really

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even know anything at all about
mathematics. So I failed that

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math class, switched out of
actuarial science. That's how

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much it affected me. Majored in
just pure math in college. Took

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me five years to get the four
year degree, and then decided to

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go on and get my certification
to teach. And I thought, oh, I

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can teach eighth grade
mathematics because I at least

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know enough to teach eighth
grade mathematics. What happened

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was, in the first two or three
weeks of my first year of

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teaching, I I thought, I'm a
brilliant teacher, and I would

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give my quizzes and my tests,
and about half of my students

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were not able to do what I
taught them. I was really

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questioning where that
disconnect was, and the

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realization I came to was I
really don't know math well

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enough to be able to give access
to this mathematics. We did

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almost full inclusion. We still
had some resource room for math,

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where we had, like, pure tier
300% pull out for mathematics,

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but we were trying to really get
full inclusion tier one core

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classroom, and my we're
recording this live today, and

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my intervention specialist who
helped guide me through this

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realization of, do we really
even know the mathematics to

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better support our students is
actually here. Live with us

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today. You know who you are.
Thank you for being here. Would

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you like this morning? Hello.

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This is, this is a fun story.
Take us back, Christy, 1999

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you saw this very young, early,
20 year old girl come in and

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over the next five or six years,
as we collaborated and worked

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together, you as intervention
specialist, me as math classroom

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teacher. Give me your
perspective of this journey that

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we actually took together, I
feel like I was in the same boat

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as you, as a student, where I
always got great grades. I was

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not necessarily a straight A
math student, but I could play

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the math student. I could do the
math. Just show me what to do,

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and I can follow the steps and I
can get the right answer. I feel

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like when we first started
teaching together, we were like,

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Okay, if I can give these kids
tricks and mnemonics to remember

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how to do long division and how
do subtraction and how to do

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different procedures, that it's
okay the kids have it. If I

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write those mnemonics out and I
write the steps out, the kids

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can go home and they can do it
for homework. Then in two weeks

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from now, I give them a problem
again, and they have no idea.

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How do we even start? I feel
like what we learned together is

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that a lot of times we have kids
that can play the math game and

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they can do the procedures, but
in the end, they have absolutely

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no idea what they're doing and
why. They didn't really

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understand the math. They didn't
have the.

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Number Sense, that's the biggest
thing I felt. Was our journey

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working together was, how do we
get kids to understand what

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00:20:08,940 --> 00:20:13,860
they're doing and why? Which is
that whole importance of number

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sense? And how can we improve
number sense in kids? That's

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exactly the neurological
philosophy neurodevelopmentally

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gifted students will be able to
figure things out and understand

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00:20:28,040 --> 00:20:33,440
them in a few sessions, typical
kids a couple more, but kids

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with disabilities and kids who
are truly struggling.

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Initially, I had heard 60, but
lately, I've been hearing more

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like 300

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times you you need to represent
the number two, 300 times. How

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do we get more interactions with
kids so that it increases their

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memory and retention, and that
is through visuals. That's

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really what the phrase a picture
is worth 1000 words mean. And

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one thing I want to connect to
what Christy said is, and I'm

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going to say this a different
way, but it's what we learned in

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our journey, is that oftentimes
we can get kids to replicate

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short term. Some of these kids,
we can give quizzes and tests in

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our classroom, and they could
score very high, because it's in

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that short term, they're able to
retain the information just long

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enough to produce on my quizzes
and tests, but then we give a

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midterm or a final exam, or the
end of the year assessment or

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the state test at the end of the
year, where they have all of

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these concepts all At once,
where they have to pull from

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their memory and things that
happened five or six months ago.

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That's where the breakdown is.
We have some of these kids that

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achieve very high they get A's
and B's in math class, but then

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they fail, or come close to
failing that end of year test.

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And we're like, oh, they're just
not a good test taker. No, that

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00:22:00,540 --> 00:22:05,460
has nothing to do with it at
all. Their brain has not learned

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00:22:05,460 --> 00:22:10,440
in the way that increased the
memory of this content, and

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they're not able to retain a lot
of teachers talk about this.

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Also, when kids move through the
grades, they get to fifth,

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sixth, seventh grade, and the
teacher says, These kids don't

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know this. And the third and
fourth grade teachers are like,

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Oh my gosh, we spent so much
time on this. We did this with

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kids. The problem was they were
able to get it short term, but

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without those visuals, we're
losing that long term memory and

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retention.

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So let's jump more into the
mathematics. If you want to hear

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00:22:36,260 --> 00:22:39,740
a little bit more about that
conversation, go to tier one

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00:22:39,740 --> 00:22:44,440
interventions.com sign up for
the workshop, and you'll get the

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rest of the conversation. It is
impact

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inclusion. And when I talk about
inclusion, I'm talking full

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inclusion. How are we going to
reduce

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00:22:56,620 --> 00:23:04,380
pull out sessions to zero? I
know it's in it might not be the

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00:23:04,680 --> 00:23:09,840
perfect for all kids, but the
full inclusion, if we're really

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00:23:09,840 --> 00:23:13,800
looking at the definition, it
requires professional

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development. It requires

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00:23:17,280 --> 00:23:22,940
pull in sessions for all
disciplines. So inclusion is the

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00:23:22,940 --> 00:23:26,600
first one, metacognition,
thinking about thinking. And

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00:23:26,600 --> 00:23:30,680
that's all of these words and
all of these phrases and these

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00:23:30,920 --> 00:23:34,400
little nuances that jonily All
the time. What do you see? What

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00:23:34,400 --> 00:23:35,780
do you notice? Tell me about

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00:23:37,520 --> 00:23:41,680
number three is perseverance.
When we're toddlers, we're

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00:23:41,680 --> 00:23:44,320
running around, we're curious,
we're doing all these wonderful

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00:23:44,320 --> 00:23:48,280
things. We're always trying to
take the next challenge. How

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00:23:48,280 --> 00:23:52,600
often does it take a toddler to
learn how to walk? A few weeks.

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00:23:53,080 --> 00:23:56,500
How long does it take an 83 year
old, after they've had a stroke,

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00:23:56,500 --> 00:23:57,760
to learn how to walk again?

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00:23:59,260 --> 00:24:03,960
Not a few weeks. Takes much
longer. When we're looking at

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00:24:03,960 --> 00:24:08,340
perseverance, we're looking at
helping them create an innate

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00:24:08,400 --> 00:24:12,660
sense of drive and motivation to
accomplish something.

350
00:24:14,040 --> 00:24:17,460
When we're looking at a we're
looking at adaptability.

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00:24:18,120 --> 00:24:23,120
Adaptability is more than just
physically adapting the

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00:24:23,120 --> 00:24:28,940
worksheet, adaptability is also
a change in a shift in your

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00:24:28,940 --> 00:24:29,540
mind.

354
00:24:31,520 --> 00:24:36,020
When we're looking at See, we're
looking at curiosity.

355
00:24:38,600 --> 00:24:41,800
I mentioned the toddler a little
bit ago, looking around and

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00:24:41,800 --> 00:24:46,960
doing all kinds of wonderful
activities and being absolutely

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00:24:46,960 --> 00:24:50,380
curious about their
surroundings. We put them in

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00:24:50,380 --> 00:24:54,460
kindergarten. Here you need to
sit in this seat. We can find

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00:24:54,460 --> 00:24:54,820
them.

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00:24:56,200 --> 00:24:59,920
We teach them this structure
that we've created.

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00:25:00,000 --> 00:25:04,080
It in the system so that we can
get all kids learning at the

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00:25:04,080 --> 00:25:06,240
same time. I would love to see,

363
00:25:07,320 --> 00:25:11,160
especially in middle school,
kids on treadmills learning

364
00:25:11,160 --> 00:25:11,640
math.

365
00:25:12,840 --> 00:25:16,680
There's been a research study
that talks about it, where they

366
00:25:16,680 --> 00:25:19,620
were had in this special ed
class of kids who were failing

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00:25:19,620 --> 00:25:23,840
math, they started putting they
put treadmills in the classroom

368
00:25:23,840 --> 00:25:29,480
for these this particular set of
students. All six students, Aced

369
00:25:29,480 --> 00:25:33,440
their state testing that year
because every time they came

370
00:25:33,440 --> 00:25:37,100
into math, they had the
treadmill at a low rate of speed

371
00:25:37,220 --> 00:25:39,080
so they could still hear the
teacher,

372
00:25:40,100 --> 00:25:43,660
and their math scores
skyrocketed, and they got the

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00:25:43,660 --> 00:25:44,560
concepts

374
00:25:45,700 --> 00:25:49,180
before you say the last one, I'm
going to give the definition of

375
00:25:49,180 --> 00:25:54,580
this last one before we say the
word that he is a new path that

376
00:25:54,580 --> 00:26:00,480
doesn't yet exist, that Sherry
and I are Creating and hoping

377
00:26:00,480 --> 00:26:05,700
that it catches on. This isn't
in addition to, it's instead of,

378
00:26:06,300 --> 00:26:08,040
it's the better way.

379
00:26:09,120 --> 00:26:13,980
It's the path unpaved that we
have all the research to back

380
00:26:13,980 --> 00:26:18,360
it, and now we just need to take
the step so Sherry, give it to

381
00:26:18,360 --> 00:26:21,680
us. What's that last word that
I've just transcendence. It's a

382
00:26:21,680 --> 00:26:22,340
journey.

383
00:26:23,540 --> 00:26:28,160
It's not transformation which
happens instantly. It's

384
00:26:28,160 --> 00:26:35,000
transformation that happens from
this point all the way to this

385
00:26:35,000 --> 00:26:40,660
point and beyond. It's that
concept of lifelong learning.

386
00:26:41,680 --> 00:26:45,340
It's a concept of what we learn
today

387
00:26:46,600 --> 00:26:50,440
we integrate into our base of
knowledge so that we can use it

388
00:26:50,440 --> 00:26:51,100
tomorrow.

389
00:26:52,780 --> 00:26:55,480
All right, everybody. Have a
great weekend, great end of the

390
00:26:55,480 --> 00:26:57,220
school year, great summer,

391
00:26:58,240 --> 00:27:03,000
and we resume these tier ones,
September 21 the third, Saturday

392
00:27:03,000 --> 00:27:06,540
of every month, I just go in, go
into disability labs and

393
00:27:06,540 --> 00:27:09,120
register for September, October
and November, the date

394
00:27:10,560 --> 00:27:14,400
that way you're registered in
your login so that you get all

395
00:27:14,400 --> 00:27:16,080
the emails and the links and
everything.

396
00:27:17,880 --> 00:27:20,220
Hello, everybody. Happy Summer.
You.