NEPF Standard 1 Part 1
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CC
1
Secondary
Mathematics
Standard
1
Module
for
Mathematics
–
Part
I
An
Overview
of
Standard
1
What
is
Standard
1?
What
are
the
indicators
for
Standard
1?
IS
IS
NOT
A
complete
“How
To”
for
every
lesson
in
math.
What
do
you
think
of
when
you
hear
the
word
“cardinal”?
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http://www.nflfootballstadiums.com/images/Arizona-Cardinals-Logo.gif
http://mlblogsaldengonzalez.files.wordpress.com/2013/07/stl.gif
What
do
these
have
to
do
with
the
NEPF?
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http://www.nflfootballstadiums.com/images/Arizona-Cardinals-Logo.gif
http://mlblogsaldengonzalez.files.wordpress.com/2013/07/stl.gif
How
about
“cardinal”
in
a
math
classroom?
car·di·nal
num·ber
noun
plural
noun:
cardinal
numbers
a
number
denoting
quantity
(one,
two,
three,
etc.),
as
opposed
to
an
ordinal
number
(first,
second,
third,
etc.).
Let’s
take
a
moment
to
see
why
linking
to
student’s
prior
learning
and
experience
is
such
a
powerful
instructional
strategy
for
teachers
to
use.
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It’s
in
the
Neuroscience:
the
brain
seeks
patterns.
Memory
connects
new
to
existing
memory
through
pattern
matching.
Pattern
Matching
(for
short-term
memory)
The
brain
interprets
new
information
based
on
existing
patterns.
NEW
If
there
is
no
pattern
waiting…
new
input
is
misinterpreted,
rejected,
or
it
disappears!
Activate
prior
knowledge…
for
a
successful
pattern
match!
NEW
ACTIVATED
PRIOR
KNOWLEDGE
Information
is
stored
and
retrieved
based
on
frequently
experienced
patterns.
Let’s
see
what
it
is
like
to
experience
the
brain’s
pattern
storage
and
activation.
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Let’s
do
a
quiet
activity.
Please
read
the
next
slides
without
speaking
your
responses.
What
color
is
this
slide?
Name
this
animal.
http://t2.gstatic.com/images?q=tbn:ANd9GcRcahUSkoceYwBPMKHCsbC5Al_GdijGPMvPuxjbukaolzUFdkjiHw
What
does
a
cow
drink?
http://t2.gstatic.com/images?q=tbn:ANd9GcRcahUSkoceYwBPMKHCsbC5Al_GdijGPMvPuxjbukaolzUFdkjiHw
Did
you,
on
your
first
thought,
.
.
.
Think
milk,
and
then
after
a
few
seconds
think
water?
Think
water
only?
Think
milk
only?
During
a
webinar,
88%
of
the
first
thoughts
were
milk,
and
then
after
a
few
seconds,
water.
“cow”,
“milk”,
and
“white”
simultaneously.
The
frequent
activation
of
those
bits
of
information
in
a
relationship
(pattern)
connected
them
into
a
strong
memory
circuit
resulting
in
fast
retrieval.
Another
case
of
brain
patterning…
Now
what
do
you
see?
Another
case
of
brain
patterning…
And
now?
Optical
illusions
work
because
our
brains
use
strong
patterns
to
interpret
input.
Your
visual
memory
patterning
experiences
fills
in
a
triangle.
NEPF
–
Standard
1
Activate
all
students’
initial
understanding
of
new
concepts
and
skills
Make
connections
explicit
between
previous
learning
and
new
concepts
and
skills
for
all
students
Make
clear
the
purpose
and
relevance
of
new
learning
for
all
students
Provide
all
students
opportunities
to
build
on
or
challenge
initial
understandings
New
Learning
is
Connected
to
Prior
Learning
and
Experience
Standard
1
Module
for
Mathematics
Part
I
–
What
and
Why
Goal
1:
What
is
Standard
1?
Goal
2:
What
are
the
indicators
for
Standard
1?
Part
II
–
Implications
for
Mathematics
Goal
3:
What
activities/instruction
in
the
classroom
would
provide
evidence
of
them?
Goal
4:
What
specific
plans
can
be
designed
to
implement
them?
Summary
-
Quick
Review
New
Learning
is
Connected
to
Prior
Learning
and
Experience
What
short
descriptors
can
you
use
to
remember
the
Indicators
of
Standard
1?
1
initial
understanding
2
explicit
connections
3
purpose
and
relevance
4
build
on
or
challenge
Next
Steps
.
.
.Part
II
What
are
some
current
strategies/practices
that
can
be
altered
to
effectively
implement
this
standard?
What
might
this
look
like
in
your
classroom?
Where
will
evidence
of
Standard
1
be
found
in
our
individual
practice?
How
might
effective
implementation
of
Standard
1
affect
student
outcomes?
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For
additional
NEPF
resources
rpdp.net
Select
NEPF
rpdp-logo.tif
N
E
P
F
Nevada
Educator
Performance
Framework
Southern
Nevada
Adding
fractions
&
adding
decimals
Multiplying
two-digit
numbers
&
multiplying
binomials
Transforming
parabolas
&
transforming
circles
or
hyperbolas
.
.
.
.
Additional
explicit
connections
between
previous
learning
and
new
concepts
and
skills
.
.
.
Can
your
students
answer
the
question,
“What
is
the
point?”
Does
the
relevance
of
new
learning
connect
new
learning
to
the
broader
goals
of
the
lesson
and
understanding
the
purpose
of
learning
the
new
material?
What
is
meant
by
“make
clear
the
purpose
and
relevance
of
new
learning
for
all
students”?
Indicator
3
How
can
we
.
.
.
make
the
purpose
and
relevance
of
new
learning
clear
for
all
students?
Does
ALL
of
students’
previous
learning
come
from
in-school
contexts?
Do
students
bring
information
to
school
from
their
experience
of
going
to
a
store
to
buy
items,
guessing
how
long
it
will
take
to
drive
to
a
nearby
state,
working
for
a
salary?
What
is
meant
by
“make
explicit
connections
between
previous
learning
and
new
concepts
and
skills”?
Indicator
2
How
can
we
.
.
.
make
explicit
connections
between
previous
learning
and
new
concepts
and
skills?
Regional
Professional
Development
Program
www.rpdp.net
Module
1
Part
1
Secondary
Mathematics
Video
My
Favorite
No
Consider
these
questions
as
you
watch.
How
does
this
strategy
allow
for
immediate
re-teaching?
How
does
it
provide
all
students
opportunities
to
build
or
challenge
initial
understanding?
What
makes
a
math
lesson
a
good
lesson?
Let’s
use
a
strategy
called
“Round
Table”
Create
small
groups
On
a
sheet
of
paper,
the
first
person
will
write
down
a
strategy
or
component
The
paper
passes
to
the
next
person
to
add
his/her
strategy
Passing
continues
around
the
group
Share
out
whole
group
Each
team
shares
an
item
Development
Concept
Linkage
Practice
–
guided,
group,
independent
Long
Term
Memory
Review
Closure
HW
Assessment
–
Did
they
get
it?
Student
engagement
–
Did
they
do
it?
These
are
the
Components
of
an
Effective
Math
Lesson
Using
your
prior
knowledge:
Introduction
Daily
Review
Daily
Objective
Concept
and
Skill
Development
Concept
Linkage
Practice
–
guided,
group,
independent
Long
Term
Memory
Review
Closure
HW
Assessment
–
Did
they
get
it?
Student
engagement
–
Did
they
do
it?
NEPF
Standard
1
Can
initial
understandings
sometimes
conflict
with
learning
new
concepts/ideas?
What
happens
if
initial
understandings
are
ignored?
How
do
the
incomplete
understandings
and
misconceptions
that
students
bring
with
them
to
a
topic
hinder
new
concepts
and
skills?
What
is
meant
by
“initial
understanding
of
new
concepts
and
skills”
?
Indicator
1
How
can
we
.
.
.
activate
all
students’
initial
understanding
of
new
concepts
and
skills?