session 5: consistency and alignment in assessment for as ......assessment for gains mathematics –...
TRANSCRIPT
![Page 1: Session 5: Consistency and Alignment in Assessment for as ......Assessment for GAINS Mathematics – Professional Learning, 2009 – Session 5 2 5.1: Anticipation Guide Instructions](https://reader034.vdocuments.site/reader034/viewer/2022052103/603e17b280a7f31b2a5cd6ee/html5/thumbnails/1.jpg)
Assessment for GAINS Mathematics – Professional Learning, 2009 – Session 5 1
Session 5: Consistency and Alignment in Assessment for, as, and of Learning
60 min
Math Learning GoalsDevelop consistency and alignment in assessment • for learning.Examine which expectations (content and process) can be addressed with a single •problem.Discuss the different assessment opportunities a problem can provide.•Discuss how to provide students with feedback that will move them forward.•
MaterialsBLM 5.1, 5.2•
Mathematics •curriculum documents, Grades 1-8, 9-10chart paper•
Whole Group ShareVolunteers verbally share their Home Activity (a problem with multiple solutions). Provide a mechanism for sharing all problems, e.g., post on chart paper around the room; post on a wiki created for this group; use an email distribution group.
Individual Anticipation GuideParticipants complete an Anticipation Guide (BLM 5.1).
Minds On…15 min
Small Group ShareDivide the participants into groups, assigning each group a different grade (7, 8, 9, or 10).Using the Processes Generic Rubric (BLM 5.2) and the curriculum documents, listtheprocessesandspecificgradeexpectationsthatwouldbeaddressedbytheTrapezoid Problem from Session 4.Differentiate content by having participants work in different grade groups based on participant readiness to work in the grade with which they are familiar or comfortable.i
Curriculum Expectations/Observation/Mental Note: Listen for strengths and weakness to form learning partners in the next activity.
Small Group DiscussRearrange groups so that, in each group of four, each grade is represented. Within the group, participants discuss each question:
How would you use the Trapezoid Problem (BLM 4.3)? Assessment • for learning? Assessment as learning? Assessment of learning?What tool would you use to collect your assessment data?•How would you provide students with feedback on this assessment?•How would you use information from students completing this task to inform what •you do next in the class?
Provide assessment tools for particicpants to consider, e.g., Seating Plan Tool (BLM 5.3).
Action!30 min
Whole Group ShareEach group shares their discussions with the whole group. Identify similarities and differences with rationale for them.
Consolidate Debrief
15 min
Reflection
Home Activity or Further Classroom ConsolidationRevisit your Anticipation Guide and make changes as needed.Read the article “Classroom Assessment: Minute by Minute, Day by Day.” Siobhan Leahy, Christine Lyon, Marnie Thompson, and Dylan Wiliam; ASCD, Educational Leadership. Reston, Virginia, November 2005.
![Page 2: Session 5: Consistency and Alignment in Assessment for as ......Assessment for GAINS Mathematics – Professional Learning, 2009 – Session 5 2 5.1: Anticipation Guide Instructions](https://reader034.vdocuments.site/reader034/viewer/2022052103/603e17b280a7f31b2a5cd6ee/html5/thumbnails/2.jpg)
Assessment for GAINS Mathematics – Professional Learning, 2009 – Session 5 2
5.1: Anticipation Guide
InstructionsCheck • Agree or Disagree, in ink, in the Before category beside each statement before you start assessing the Trapezoid Problem.Compare your choice with your partner.•Revisit your choices at the end of the investigation.•
BeforeStatement
After
Agree Disagree Agree Disagree
1. It is possible for one problem to be suitable for a Grade 7, 8, 9, or 10 class.
2. The Trapezoid Problem would be a good problem to use as a summative assessment.
3. A problem must have only one possible solution if it is to be used for an assessment.
4. If I help a student during an assessment then I can’t accurately assess their work.
5. Students can learn from one another by examining their solutions to problems.
6. Providing students with a mark, e.g., out of 10, or a letter grade, is the best way to assess a problem like this.
7. When I pose a problem, I hope to get the same response from all students.
8. A task could be used to assess process expectations alone.
![Page 3: Session 5: Consistency and Alignment in Assessment for as ......Assessment for GAINS Mathematics – Professional Learning, 2009 – Session 5 2 5.1: Anticipation Guide Instructions](https://reader034.vdocuments.site/reader034/viewer/2022052103/603e17b280a7f31b2a5cd6ee/html5/thumbnails/3.jpg)
Ass
essm
ent f
or G
AIN
S M
athe
mat
ics
– P
rofe
ssio
nal L
earn
ing,
200
9 –
Ses
sion
5
3
5.2:
Gen
eric
Pro
cess
es R
ubric
Thin
king
Prob
lem
Sol
ving
Crit
eria
Bel
ow L
evel
1
Spec
ific
Feed
back
Leve
l 1Le
vel 2
Leve
l 3Le
vel 4
Sel
ects
, seq
uenc
es
and
appl
ies
mat
hem
atic
al
proc
esse
s ap
prop
riate
to
the
task
Sel
ects
, seq
uenc
es a
nd
appl
ies
mat
hem
atic
al
proc
esse
s to
the
assi
gned
taskwithsignificant
prom
ptin
g
Sel
ects
, seq
uenc
es a
nd
appl
ies
mat
hem
atic
al
proc
esse
s to
the
assi
gned
ta
sk w
ith m
inim
al p
rom
ptin
g
Sel
ects
, seq
uenc
es a
nd
appl
ies
mat
hem
atic
al
proc
esse
s to
the
assi
gned
ta
sk in
depe
nden
tly
Sel
ects
, seq
uenc
es a
nd
appl
ies
mat
hem
atic
al
proc
esse
s to
the
assi
gned
ta
sk in
depe
nden
tly w
ith a
br
oade
r vie
w o
f the
task
Use
s cr
itica
l thi
nkin
g sk
ills
to s
olve
a
prob
lem
Use
s m
inim
al lo
gic
and
prec
isio
n in
mat
hem
atic
al
reas
onin
g to
sol
ve p
robl
ems
Use
s lo
gic
to s
olve
pr
oble
ms
but l
acks
pr
ecis
ion
in m
athe
mat
ical
re
ason
ing
Sol
ves
prob
lem
s lo
gica
lly
and
with
pre
cisi
on in
m
athe
mat
ical
reas
onin
g
Dem
onst
rate
s a
soph
istic
ated
leve
l of
mat
hem
atic
al re
ason
ing
and
prec
isio
n in
sol
ving
pr
oble
ms
Rea
soni
ng a
nd P
rovi
ng
Crit
eria
Bel
ow L
evel
1
Spec
ific
Feed
back
Leve
l 1Le
vel 2
Leve
l 3Le
vel 4
Form
ulat
es a
nd
defe
nds
a hy
poth
esis
or
con
ject
ure
Form
s a
hypo
thes
is o
r co
njec
ture
that
con
nect
s fe
w a
spec
ts o
f the
pro
blem
Form
s a
hypo
thes
is o
r co
njec
ture
that
con
nect
s so
me
of th
e pe
rtine
nt
aspe
cts
of th
e pr
oble
m
Form
s a
hypo
thes
is o
r co
njec
ture
that
con
nect
s pe
rtine
nt a
spec
ts o
f the
pr
oble
m
Form
s a
hypo
thes
is o
r co
njec
ture
that
con
nect
s as
pect
s of
the
prob
lem
w
ith a
bro
ader
vie
w o
f the
pr
oble
m
Mak
es in
fere
nces
, dr
aws
conc
lusi
ons
and
givesjustifications
Mak
es li
mite
d co
nnec
tions
to
the
prob
lem
-sol
ving
pr
oces
s an
d m
odel
s pr
esen
ted
whe
n ju
stify
ing
answ
ers
Mak
es s
ome
conn
ectio
ns to
th
e pr
oble
m-s
olvi
ng p
roce
ss
and
mod
els
pres
ente
d w
hen
just
ifyin
g an
swer
s
Mak
es d
irect
con
nect
ions
to
the
prob
lem
-sol
ving
pro
cess
an
d m
odel
s pr
esen
ted
whe
n ju
stify
ing
answ
ers
Mak
es d
irect
and
insi
ghtfu
l co
nnec
tions
to th
e pr
oble
m-
solv
ing
proc
ess
and
mod
els
pres
ente
d w
hen
just
ifyin
g an
swer
s
Inte
rpre
ts
mat
hem
atic
al
lang
uage
, cha
rts, a
nd
grap
hs
Mis
inte
rpre
ts a
crit
ical
el
emen
t of t
he in
form
atio
n,
but m
akes
som
e re
ason
able
sta
tem
ents
Mis
inte
rpre
ts p
art o
f th
e in
form
atio
n, b
ut
mak
es s
ome
reas
onab
le
stat
emen
ts
Inte
rpre
ts th
e in
form
atio
n co
rrec
tly a
nd m
akes
re
ason
able
sta
tem
ents
Inte
rpre
ts th
e in
form
atio
n co
rrec
tly, a
nd m
akes
in
sigh
tful s
tate
men
ts
![Page 4: Session 5: Consistency and Alignment in Assessment for as ......Assessment for GAINS Mathematics – Professional Learning, 2009 – Session 5 2 5.1: Anticipation Guide Instructions](https://reader034.vdocuments.site/reader034/viewer/2022052103/603e17b280a7f31b2a5cd6ee/html5/thumbnails/4.jpg)
Ass
essm
ent f
or G
AIN
S M
athe
mat
ics
– P
rofe
ssio
nal L
earn
ing,
200
9 –
Ses
sion
5
4
5.2:
Gen
eric
Pro
cess
es R
ubric
(con
tinue
d)
Refl
ectin
g
Crit
eria
Bel
ow L
evel
1
Spec
ific
Feed
back
Leve
l 1Le
vel 2
Leve
l 3Le
vel 4
Use
s m
etac
ogni
tive
skill
s to
det
erm
ine
whi
ch m
athe
mat
ical
pr
oces
ses
to re
visi
t in
orde
r to
reac
h th
e go
al
App
lies
met
acog
nitiv
e sk
ills
withsignificantprompting
in d
eter
min
ing
whi
ch
mat
hem
atic
al p
roce
ss to
re
visi
t in
orde
r to
reac
h th
e go
al
App
lies
met
acog
nitiv
e sk
ills
with
min
imal
pr
ompt
ing
in d
eter
min
ing
whi
ch m
athe
mat
ical
pr
oces
s to
revi
sit i
n or
der
to re
ach
the
goal
App
lies
met
acog
nitiv
e sk
ills
inde
pend
ently
in
det
erm
inin
g w
hich
m
athe
mat
ical
pro
cess
to
revi
sit i
n or
der t
o re
ach
the
goal
App
lies
met
acog
nitiv
e sk
ills
inde
pend
ently
in
det
erm
inin
g w
hich
m
athe
mat
ical
pro
cess
to
revi
sit i
n or
der t
o re
ach
the
goal
with
a b
road
er v
iew
of
the
goal
Reflectsonthe
reas
onab
lene
ss o
f an
swer
s
Mak
es m
inim
al c
onne
ctio
ns
betw
een
a pr
ior e
stim
ate
and
the
solu
tion
Mak
es s
ome
conn
ectio
ns
betw
een
a pr
ior e
stim
ate
and
the
solu
tion
Mak
es a
ppro
pria
te
conn
ectio
ns b
etw
een
a pr
ior
estim
ate
and
the
solu
tion
Mak
es a
ppro
pria
te
conn
ectio
ns b
etw
een
a pr
ior
estim
ate
and
the
solu
tion
and
prov
ides
insi
ghtfu
l co
mm
ents
App
licat
ion
Sele
ctin
g To
ols
and
Com
puta
tiona
l Str
ateg
ies
Crit
eria
Bel
ow L
evel
1
Spec
ific
Feed
back
Leve
l 1Le
vel 2
Leve
l 3Le
vel 4
Sel
ects
and
use
s to
ols
and
stra
tegi
es to
sol
ve
a pr
oble
m
Sel
ects
and
app
lies
appr
opria
te to
ols
and
stra
tegi
es, w
ith m
ajor
er
rors
, om
issi
ons,
or m
is-
sequ
enci
ng
Sel
ects
and
app
lies
appr
opria
te to
ols
and
stra
tegi
es, w
ith m
inor
er
rors
, om
issi
ons
or m
is-
sequ
enci
ng
Sel
ects
and
app
lies
appr
opria
te to
ols
and
stra
tegi
es a
ccur
atel
y, a
nd in
a
logi
cal s
eque
nce
Sel
ects
and
app
lies
appropriateandefficient
tool
s an
d st
rate
gies
, ac
cura
tely
to c
reat
e m
athe
mat
ical
ly e
lega
nt
solu
tions
Con
nect
ing
Crit
eria
Bel
ow L
evel
1
Spec
ific
Feed
back
Leve
l 1Le
vel 2
Leve
l 3Le
vel 4
Mak
es c
onne
ctio
ns
amon
g m
athe
mat
ical
co
ncep
ts a
nd
proc
edur
es
Mak
es w
eak
conn
ectio
ns
amon
g m
athe
mat
ical
co
ncep
ts a
nd p
roce
dure
s
Mak
es s
impl
e co
nnec
tions
am
ong
mat
hem
atic
al c
once
pts
and
proc
edur
es
Mak
es a
ppro
pria
te
conn
ectio
ns a
mon
g m
athe
mat
ical
con
cept
s an
d pr
oced
ures
Mak
es s
trong
con
nect
ions
am
ong
mat
hem
atic
al
conc
epts
and
pro
cedu
res
Rel
ates
mat
hem
atic
al
idea
s to
situ
atio
ns
draw
n fro
m o
ther
co
ntex
ts
Tran
sfer
s id
eas
to o
ther
co
ntex
ts a
nd m
akes
lim
ited
conn
ectio
ns
Tran
sfer
s id
eas
to o
ther
co
ntex
ts a
nd m
akes
si
mpl
e co
nnec
tions
Tran
sfer
s id
eas
to o
ther
co
ntex
ts a
nd m
akes
ap
prop
riate
con
nect
ions
Tran
sfer
s id
eas
to o
ther
co
ntex
ts a
nd m
akes
un
ique
, orig
inal
or i
nsig
htfu
l co
nnec
tions
![Page 5: Session 5: Consistency and Alignment in Assessment for as ......Assessment for GAINS Mathematics – Professional Learning, 2009 – Session 5 2 5.1: Anticipation Guide Instructions](https://reader034.vdocuments.site/reader034/viewer/2022052103/603e17b280a7f31b2a5cd6ee/html5/thumbnails/5.jpg)
Ass
essm
ent f
or G
AIN
S M
athe
mat
ics
– P
rofe
ssio
nal L
earn
ing,
200
9 –
Ses
sion
5
5
5.2:
Gen
eric
Pro
cess
es R
ubric
(con
tinue
d)
Com
mun
icat
ion
Rep
rese
ntin
g
Crit
eria
Bel
ow L
evel
1
Spec
ific
Feed
back
Leve
l 1Le
vel 2
Leve
l 3Le
vel 4
Cre
ates
a m
odel
to
repr
esen
t the
pro
blem
(e.g
., nu
mer
ical
, al
gebr
aic,
gra
phic
al,
phys
ical
, or s
cale
m
odel
, by
hand
or
usin
g te
chno
logy
)
Cre
ates
a m
odel
that
re
pres
ents
the
prob
lem
w
ith li
mite
d ef
fect
iven
ess;
re
pres
entin
g lit
tle o
f the
ra
nge
of th
e da
ta
Cre
ates
a m
odel
that
re
pres
ents
the
prob
lem
w
ith s
ome
effe
ctiv
enes
s;
repr
esen
ting
som
e of
the
rang
e of
the
data
Cre
ates
a m
odel
that
re
pres
ents
the
prob
lem
with
co
nsid
erab
le e
ffect
iven
ess;
re
pres
entin
g m
ost o
f the
ra
nge
of th
e da
ta
Cre
ates
a m
odel
that
re
pres
ents
the
prob
lem
w
ith a
hig
h de
gree
of
effe
ctiv
enes
s; re
pres
entin
g th
e fu
ll ra
nge
of th
e da
ta
Mak
es c
onne
ctio
ns
betw
een
num
eric
, gr
aphi
cal a
nd a
lgeb
raic
re
pres
enta
tions
Mak
es li
mite
d co
nnec
tions
be
twee
n nu
mer
ic,
grap
hica
l and
alg
ebra
ic
repr
esen
tatio
ns
Mak
es s
ome
conn
ectio
ns
betw
een
num
eric
, gr
aphi
cal a
nd a
lgeb
raic
re
pres
enta
tions
Mak
es a
ppro
pria
te
conn
ectio
ns b
etw
een
num
eric
, gra
phic
al a
nd
alge
brai
c re
pres
enta
tions
Mak
es s
trong
and
insi
ghtfu
l co
nnec
tions
bet
wee
n nu
mer
ic, g
raph
ical
and
al
gebr
aic
repr
esen
tatio
ns
Tran
slat
es fr
om o
ne
repr
esen
tatio
n to
an
othe
r as
appr
opria
te
to th
e pr
oble
m
Tran
slat
es re
pres
enta
tion
with
maj
or e
rror
s w
hen
solv
ing
a pr
oble
m
Tran
slat
es
repr
esen
tatio
ns w
ith s
ome
erro
rs w
hen
solv
ing
a pr
oble
m
Tran
slat
es re
pres
enta
tions
ap
prop
riate
ly w
hen
solv
ing
a pr
oble
m
Tran
slat
es re
pres
enta
tions
ap
prop
riate
ly a
nd w
ith
insi
ght w
hen
solv
ing
a pr
oble
m
Com
mun
icat
ing
Crit
eria
Bel
ow L
evel
1
Spec
ific
Feed
back
Leve
l 1Le
vel 2
Leve
l 3Le
vel 4
Use
s cl
ear l
angu
age
to m
ake
pres
enta
tions
, an
d to
exp
lain
and
ju
stify
sol
utio
ns w
hen
repo
rting
for v
ario
us
purp
oses
and
diff
eren
t au
dien
ces
Use
s un
clea
r lan
guag
e to
m
ake
pres
enta
tions
, and
to
expl
ain
and
just
ify s
olut
ions
w
hen
repo
rting
for v
ario
us
purp
oses
and
diff
eren
t au
dien
ces
Use
s la
ngua
ge th
at is
so
mew
hat u
ncle
ar to
m
ake
pres
enta
tions
, and
to
exp
lain
and
just
ify
solu
tions
whe
n re
porti
ng
for v
ario
us p
urpo
ses
and
diffe
rent
aud
ienc
es
Use
s cl
ear l
angu
age
to
mak
e pr
esen
tatio
ns, a
nd to
ex
plai
n an
d ju
stify
sol
utio
ns
whe
n re
porti
ng fo
r var
ious
pu
rpos
es a
nd d
iffer
ent
audi
ence
s
Use
s cl
ear a
nd p
reci
se
lang
uage
to m
ake
pres
enta
tions
, and
to
expl
ain
and
just
ify s
olut
ions
w
hen
repo
rting
for v
ario
us
purp
oses
and
diff
eren
t au
dien
ces
Use
s m
athe
mat
ical
sy
mbo
ls, l
abel
s, u
nits
an
d co
nven
tions
co
rrec
tly
Som
etim
es u
ses
mat
hem
atic
al s
ymbo
ls,
labe
ls a
nd c
onve
ntio
ns
corr
ectly
Usu
ally
use
s m
athe
mat
ical
sym
bols
, la
bels
and
con
vent
ions
co
rrec
tly
Con
sist
ently
use
s m
athe
mat
ical
sym
bols
, la
bels
and
con
vent
ions
co
rrec
tly
Con
sist
ently
use
s m
athe
mat
ical
sym
bols
, la
bels
and
con
vent
ions
, pr
esen
ting
nove
l or
insi
ghtfu
l opp
ortu
nitie
s fo
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![Page 6: Session 5: Consistency and Alignment in Assessment for as ......Assessment for GAINS Mathematics – Professional Learning, 2009 – Session 5 2 5.1: Anticipation Guide Instructions](https://reader034.vdocuments.site/reader034/viewer/2022052103/603e17b280a7f31b2a5cd6ee/html5/thumbnails/6.jpg)
Assessment for GAINS Mathematics – Professional Learning, 2009 – Session 5 6
5.3: Seating Plan Tool
![Page 7: Session 5: Consistency and Alignment in Assessment for as ......Assessment for GAINS Mathematics – Professional Learning, 2009 – Session 5 2 5.1: Anticipation Guide Instructions](https://reader034.vdocuments.site/reader034/viewer/2022052103/603e17b280a7f31b2a5cd6ee/html5/thumbnails/7.jpg)
Assessment for GAINS Mathematics – Professional Learning, 2009 – Session 5 7
5.3: Seating Plan Tool (continued)