Geoff Krall |@emergentmath|emergentmath.com
… and now for some Fermi estimation.
9-12 chapters /
textbook
Awful
x
6-10 sections /
chapter
x
25-50 practice
problems /
section
=
1350 to 4800
problems /
textbook
Don't totally suck
1%
13.5 to 48 problems
99%
Instruction
Problem(s)
Student generated
Need-to-Knows
Our agenda for the day
WHY
HOW
WHAT
Adapting tasks from existing curricula
WHY
Ideas
Ensures
standard
hitting
Time
Your
students
Good Formative Assessment and Assessment Practice
Assessment is at its best when it is ongoing and most
difficult to distinguish from the teaching that is
occurring. - Martin-Kniep, G. & Picone-Zocchia, J.
How
Task Analysis
[Task to analyze A]
[Task to analyze B]
[Task to analyze C]
What
Adapting
Problem
posed
Solution
reached
A linear, “closed” problem
Problem
posed
Solution
reached
Open beginning
Problem
posed
Solution
reached
Open Middle
Problem
posed
Solution
reached
Open End
Problem
Problem
Problem
posed
Solution
Solution
Solution
reached
Time to spend…
m
5
s
e
t
u
in
1
2
1
1
o
h
s
r
u
y
a
d
B
eg
n
in
g
in
Opening up the…
M
e
l
d
id
E
d
n
Time for in class implementation
Time it takes to plan
eg
n
in
B
m
5
1
2
1
1
g
in
s
e
t
Start with the
u
in
answer
o
h
s
r
u
y
a
d
M
e
l
d
id
E
d
n
Find the area of this rectangle.
4 cm
6 cm
becomes
Sketch a diagram of two rectangles
with an area of 24 cm2.
Find the roots of the following
equation:
y=x2-5x-6
becomes
Write two quadratic equations
with roots at x=6 and x=-1.
eg
n
in
B
m
5
1
2
1
1
g
in
s
e
t
Start with the
u
in
answer
o
h
s
r
u
y
a
d
e
l
d
id
M
WYR-ize the
problem
E
d
n
Would you rather….
wyrmath.wordpress.com
wyrmath.wordpress.com
wyrmath.wordpress.com
eg
n
in
B
m
5
1
2
1
1
g
in
s
e
t
Start with the
u
in
answer
o
h
s
r
u
y
a
d
e
l
d
id
M
WYR-ize the
problem
d
n
E
Choose your
own problem
Select six of these
computations to complete,
and then (on the back)
explain why you selected the
ones you did.
What would be the last
computations you would
choose and why?
From David Coffey (@delta_dc) http://
deltascape.blogspot.com/
eg
n
in
B
m
5
1
2
1
1
g
in
s
e
t
Start with the
u
in
answer
o
h
s
r
u
y
a
d
Blurs and
Bleeps
e
l
d
id
M
WYR-ize the
problem
d
n
E
Choose your
own problem
eg
n
in
B
m
5
1
2
1
1
g
in
s
e
t
Start with the
u
in
answer
o
h
s
r
u
y
a
d
Blurs and
Bleeps
e
l
d
id
d
n
E
M
WYR-ize the
problem
Choose your
own problem
Remove the
Steps
!
y
a
w
a
m
d
t
Bu
t
’
n
o
e
‘
w
o
thr
What do you notice?
What do you wonder?
“Find a rule…”
Hint Cards
What will the
area of the
forest be after
year 1?
What will the
area of the
forest be after
year 2?
Make a graph
showing your
results continuing
through 5 years.
Small group workshops
Debrief Questions
eg
n
in
B
m
5
1
2
1
1
g
in
s
e
t
Start with the
u
in
answer
o
h
s
r
u
y
a
d
Blurs and
Bleeps
e
l
d
id
M
d
n
E
WYR-ize the
problem
Choose your
own problem
Remove/Use
the Steps
Do the dang
thing
Fawn Nguyen (@fawnpnguyen) http://fawnnguyen.com/
eg
n
in
B
m
5
1
2
1
1
g
in
s
e
t
Start with the
u
in
answer
o
h
s
r
u
y
a
d
Blurs and
Bleeps
Ask: “Why is
this important?”
e
l
d
id
M
d
n
E
WYR-ize the
problem
Choose your
own problem
Remove/Use
the Steps
Do the dang
thing
eg
n
in
B
m
5
1
2
1
1
g
in
s
e
t
Start with the
u
in
answer
o
h
s
r
u
y
a
d
Blurs and
Bleeps
e
l
d
id
M
d
n
E
WYR-ize the
problem
Choose your
own problem
Remove/Use
the Steps
Do the dang
thing
Ask: “Why is
Do
the
research
this important?”
eg
n
in
B
m
5
1
2
1
1
g
in
s
e
t
Start with the
u
in
answer
o
h
s
r
u
y
a
d
Blurs and
Bleeps
e
l
d
id
M
d
n
E
WYR-ize the
problem
Choose your
own problem
Remove/Use
the Steps
Do the dang
thing
No
really,
DO
Ask: “Why is
Do
the
research
THE
DANG
this important?”
THING
Nat Banting | musingmathematically.blogspot.com
eg
n
in
B
m
5
1
2
1
1
g
in
s
e
t
Start with the
u
in
answer
o
h
s
r
u
y
a
d
Blurs and
Bleeps
e
l
d
id
M
d
n
E
WYR-ize the
problem
Choose your
own problem
Remove/Use
the Steps
Do the dang
thing
No
really,
DO
Ask: “Why is
Do
the
research
THE
DANG
this important?”
THING
WHY
HOW
WHAT
Adapting tasks from existing curricula
Next Steps
Where can I go to practice my adaptation chops?
Makeover Mondays
blog.mrmeyer.com
Twitter #mathchat
#MTBoS #probchat
emergentmath.com/
nctm_adaptation
Your face
here
Geoff Krall |@emergentmath|emergentmath.com