1. 1st
Grade
Agenda
&
Goals
• Update
the
Training
&
Implementa7on
Plan
• Iden7fy
strategies
for
math
learning
difficul7es
• Explore
1st
Grade
content,
pedagogy,
and
pacing
in
Math
in
Focus
2. Math
Learning
Difficul7es
1. ESTIMATE
how
many
of
your
students
demonstrate
each
math
learning
difficulty
2. DISCUSS
which
learning
difficul7es
do
you
see
most
oIen?
3. Strategies
for
Math
Learning
Difficul7es
✭ the
strategies
that
you
associate
with
Singapore
Math
4. Pedagogy:
C-‐P-‐A
Jerome
Bruner’s
research
proved
that
instruc7onal
strategies
build
understanding
for
students
when
they
move
from…
• Concrete
(manipula7ves)
to
• Pictorial
(visual
models
or
drawings)
to
• Abstract
representa7ons
(numbers,
symbols)
5. Pedagogy:
Rela7onal
Understanding
Richard
Skemp’s
research
proved
that
for
long
term
learning
to
occur
rela(onal
understanding
is
more
successful
than
instrumental
learning.
Rela(onal
Understanding
Instrumental
Understanding
Conceptual
Procedural
WHY
before
HOW
How
One
to
One
Correspondence
Oral
Coun7ng
Quan77es
and
Values
Wri7ng
numbers,
Spelling
numbers
Each
piece
RELATES
to
all
others
Isolated
steps
or
steps
without
meaning
Reading
with
understanding
Phone7c
or
word
calling
6. Pedagogy:
Perceptual
Variability
Zoltan
Diene’s
research
proved
that
children
gain
the
most
conceptual
understanding
when
they
are
exposed
to
a
concept
through
a
variety
of
materials
or
experiences.
Perceptual
Variability
?
z! ;!
p! /!
"
q!
7. Reflec7ng
On
Pedagogy
Select
one
strategy
for
addressing
math
learning
difficul7es.
Discuss
how
it
connects
to
Singapore
Math
Pedagogy…
v Concrete-‐Pictorial-‐Abstract
(Bruner)
v Rela7onal
Understanding
(Skemp)
v Mul7ple
Representa7ons
(Dienes)
8. Grade
1
Math
in
Focus
Chap.
1:
Numbers
to
10
9
Days
September
Chap.
2:
Number
Bonds
6
Days
September
Chap.
3:
Addi7on
Facts
to
10
9
Days
October
Chap.
4:
Subtrac7on
Facts
to
10
9
Days
October
Chap.
5:
Shapes
and
Pagerns
15
Days
Nov.
–Dec.
Chap.
6:
Ordinal
Numbers
7
Days
December
Chap.
7:
Numbers
to
20
9
Days
January
Chap.
8:
Addi7on
and
Subtrac7on
Facts
to
20
10
Days
January
Chap.
9:
Length
7
Days
February
Chap.
10:
Weight
6
Days
February
Chap.
11:
Picture
&
Bar
Graphs
5
Days
February
Chap.
12:
Numbers
to
40
7
Days
March
Chap.
13:
Addi7on
&
Subtrac7on
to
40
11
Days
March
(regrouping)
Chap.
14:
Mental
Math
7
Days
April
Chap.
15:
Calendar
and
Time
4
Days
April
Chap.
16:
Numbers
to
100
(Place
Value)
9
Days
April
Chap.
17:
Addi7on
and
Subtrac7on
to
100
8
Days
May
Chap.
18:
Mul7plica7on
and
Division
7
Days
May
Chap.
19:
Money
(to
100
cents)
8
Days
May-‐June
