Why we need to focus on math achievement
How might the principle of LESS IS MORE apply to one large school district? To one academic discipline? One most of us (remember the 3 R’s?) consider essential? Basic.
Case in point: Aurora Public Schools and Mathematics. See Addendum A.
In 2019, on the math portion of the CMAS, the state assessment, less than one-fifth of Aurora students in grades 3-8, 18.2%, met expectations. The state average – only 34.7% [i]of students met expectations in math that spring—is troubling enough, but in APS the average score was 16.5 percentage points lower.
Addendum B: Two reasons a school board might not know how dire the facts
are for so many of its schools
|
My
LESS IS MORE recommendation for such a district: make improvement in math instruction
and achievement a priority.
To
be consistent with LESS IS MORE, let’s be more specific. Focus this work on those
elementary schools and K-8 programs where 20% or fewer students are meeting
expectations in math – as is the case in at least 25 APS schools (see page 2).
Acknowledge that such low performance reveals they need greater support to
improve math instruction. These schools no doubt have a wide variety of needs (four
are on Priority Improvement; schools like Kenton, Sixth Ave., Montview,
Paris, and Altura, where fewer than 10% of students are proficient in a core
subject, were somehow granted an Improvement rating[ii]). ALL OF THEM need better math results. Getting
at the root causes will require serious discussion. Tough questions about the
curriculum, instruction, time … searching for a more effective approach.
“Let’s get back to the fundamental
things.” Bonnie Raitt
In June a high school teacher
in Denver told Colorado Public Radio’s Jenny Brundin that DPS schools “now
don’t have the ability to provide even the basics. ‘Our school,’ he told her, ‘no
longer has a full-time social worker. Our school no longer has a full-time nurse.’”
I appreciate why a caring
teacher would see a social worker and nurse as one of the basics. But without,
I hope, sounding cold-hearted, may I point out that learning math is one of the
basics, too?
And yet this is not happening
in an even remotely satisfactory way in many APS schools. (Aurora is merely one
example; see page 4 for other districts exhibiting equally low math
achievement.)
The
current situation demands that we think hard about what is most essential, and
focus on that.
Readers of Another View know that
this former English teacher and writer puts reading and writing first; they
have been the focus of many newsletters. But a close look at the results in a
number of districts and schools tells us that math, too, must be a priority.
Sounds, well, pretty basic.
Addendum
A
Why improved
math instruction/curriculum ought to be
a
priority for 25 elementary and K-8 schools
% Meeting Expectations
|
% Growth
|
||
STATE
|
34.7
|
50
|
40.7
|
APS – District
|
18.2
|
51
|
66
|
|
|
|
|
APS Elementary
|
|
|
|
% meeting expectations under 20%
|
|
|
|
Iowa
|
18.6
|
53.5
|
71
|
Elkhart
|
18.4
|
56
|
95
|
Jewell
|
17.9
|
58
|
75
|
Arkansas
|
16.3
|
60
|
74
|
Peoria
|
16.2
|
37
|
96
|
|
|
|
|
% meeting expectations
under 15%
|
|
|
|
Lyn Knoll
|
13.9
|
43
|
93
|
Crawford*
|
13.1
|
41
|
95
|
Fulton Academy
|
12.7
|
60.5
|
91
|
Virginia Court
|
12.2
|
51
|
86
|
Sable
|
11.3
|
42
|
92
|
Park Lane
|
10.7
|
46
|
85
|
|
|
|
|
% meeting expectations under 10%
|
|
|
|
Kenton
|
9.8
|
44
|
92
|
Lansing
|
9.5
|
58
|
85
|
Laredo
|
7.5
|
38.5
|
91
|
Sixth Ave.
|
7.4
|
53.5
|
92
|
Montview
|
7.3
|
50
|
90
|
Paris*
|
6.4
|
66
|
96
|
Fletcher Community School
|
5.9
|
42
|
90
|
Altura
|
5.2
|
35
|
92
|
|
|
|
|
APS – K-8/K-12 Schools
|
|
|
|
% meeting expectations
under 20%
|
|
|
|
Vanguard Classical East
(K-12)
|
18.5
|
36
|
50
|
AXL Academy (K-8)
|
15.8
|
54.5
|
73
|
Vanguard Classical West (K-8)
|
15.4
|
59
|
66
|
Edna & John W. Mosley K-8
|
12.7
|
41
|
65
|
Clyde Miller K-8
|
11.4
|
47
|
69
|
Boston K-8*
|
9.9
|
50
|
95
|
*These
three schools are part of the district’s ACTION ZONE (along with Aurora West
College Preparatory and Aurora Central). Given the poor results in this key discipline
at these three schools, more reason to question the district’s ACTION ZONE
strategy.
Another
way to show the critical need for more focus on math instruction in these
schools.
The state breaks down how students score on CMAS MATH into five categories:
1.
Percent Did Not Yet Meet Expectations
(LOWEST)
2.
Percent Partially Met Expectations (SECOND
LOWEST)
3.
Percent Approached Expectations______________________
4.
Percent Met Expectations
5.
Percent Exceeded Expectations (HIGHEST)
Long-Term
Consequences
for Unfinished Math Learning
“The majority
of students who are behind in math in elementary school stay behind in middle
and high school, with the students farthest off-track the least likely to
catch up.
|
The low
percentage of students in or near the bottom 10 schools on page 2 is even more worrisome
when we see the percentage of their 4th graders scoring in
the lowest (Did Not Yet Meet) or second lowest (Partially Met)
categories, and thus well short of proficiency.
It will take exceptional effort to help these boys and girls meet
expectations by the time they reach high school. It can only happen with a
tremendous focus on good math instruction.
(See box - and the revealing chart in Endnotes.)
4th
graders at these ten APS schools – 2019 CMAS results[vi]
Percent Did Not Yet Meet Expectations
|
Percent Partially Met Expectations
|
Met or Exceeded Expectations
|
||
Fulton Academy
|
33.3
|
29.5
|
12.8
|
|
Virginia Court
|
31.9
|
34.7
|
12.5
|
|
Park Lane
|
40.4
|
38.6
|
7.0
|
|
Lansing
|
36.7
|
36.7
|
6.7
|
|
Kenton
|
45.6
|
38.9
|
5.6
|
|
Laredo
|
44.3
|
27.8
|
5.1
|
|
Sixth Ave.
|
43.8
|
36.3
|
5.0
|
|
Montview
|
33.3
|
39.4
|
6.1
|
|
Paris
|
49.2
|
34.9
|
N.A.
|
|
Altura
|
51.6
|
33.7
|
N.A.
|
Astonishing. Even frightening. Over 60% of 4th
graders in these 10 schools scored in the bottom two categories—from 62.8%
at Fulton Academy to 84.1% at Paris and 85.3% at Altura
Elementary.
If
equity is so central to other discussions …
The APS June 16 board discussion of Blueprint APS began with questions
about equity. Superintendent Rico Munn asserted that “equity has been at the
center of the conversation around Blueprint from day one.” Board members often
stress how important equity is to them. They might focus on this:
CMAS – Math – 2019 – % of
APS students meeting expectations by race/ethnicity
Grade
4
|
Grade
8
|
||
Black
|
15.4
|
16.2
|
|
Hispanic
|
11.2
|
13.9
|
|
White
|
35.7
|
37.9
|
But APS
is doing better, true?
Isn’t it true, though, that APS has shown better CMAS math results for the
elementary grades the past three years? Yes, overall, a slight
improvement. The district’s CMAS Mean Scale Scores are up, from 718.2
(2017) to 719.7 (2018) to 721.6 (2019). As are the percentile
rank scores, up from 13 (2017) to 16 (2018) to 19 (2019).
Granted, overall, better. But of course, not good. For
over 200,000 elementary students across the state, the mean scale score is 737.4.* Furthermore, the scores for the 25 schools on page 2 are nowhere
close to satisfactory. Dramatic growth is needed if their students are to enter
high school at grade level. Growth of
the kind seen at several other schools in Aurora: 65% or better. *http://www.cde.state.co.us/code/accountability-dataexplorertool.
Better news in schools elsewhere in the district –
lessons to share?
4 Elementary or K-8 programs in Aurora where CMAS scores exceeded
the state average. The district might wish to learn more about the
instruction and curriculum in these schools. What is different there?
Strategies that lower-performing APS schools would do well to adopt?
%
Meeting Expectations
|
%
Growth
|
||
STATE
|
34.7
|
50
|
40.7
|
APS Elementary or K-8
|
|||
Aurora Quest K-8
|
88.8
|
65
|
27
|
Murphy Creek K-8
|
47.7
|
68.5
|
36
|
Rocky Mountain Prep – Fletcher Campus
|
46.7
|
Missing
(new
school)
|
85
|
Aurora Frontier K-8
|
46.3
|
69
|
32
|
Mean
Scale Score (Elem)
|
Percentile
Rank
|
|
STATE
|
737.4
|
|
APS Elementary Scores
|
721.6
|
19
|
Aurora Quest K-8
|
778.4
|
99
|
Rocky Mountain Prep – Fletcher Campus
|
749.2
|
80
|
Murphy Creek K-8
|
746
|
74
|
Aurora Frontier K-8
|
742.5
|
67
|
APS is
hardly the only district that might do well to focus on math
Of
course Aurora Public Schools is not the only Colorado district revealing such
low math achievement. Here are four other districts that might also do well to make
improvement in math a priority. In 2018-19, growth scores on math in APS were
average (51); in these four districts, growth was even lower.
%
Meeting Expectations
|
%
Growth
|
||
STATE
|
34.7
|
50
|
|
Pueblo 60
|
19.6
|
42
|
80
|
Mapleton
|
18.6
|
46
|
57
|
Westminster
|
16.4
|
47
|
79
|
Adams 14
|
13.4
|
46
|
84
|
Addendum B
Two reasons a school board might not know
how dire the facts are for so many of its schools
I
apologize if I missed it, but the information I displayed on page 2, 2019 CMAS
math scores for 25 APS schools, has not—from what I can discover—been presented
to the Aurora Board of Education this year.
Aug. 20, 2019 - APS Board of
Education meeting. The 22-page power-point presentation, Student
Achievement and Growth Results[xiv],
packed in a lot of data. The headings insisted on a positive message. The
data confirmed some “good news.” But of the most troubling results, in 25
schools, hardly a word.
Slide 7 – 2018-19 CMAS-Math. Sub-heading:
Across all Math
tests, APS students gained 1.5 percentage points from previous year.
Slide 8 – CMAS – ELA and Math. In bold:
Positive trends can be seen across student
cohorts and years
Slide 12 – District-Level CMAS Growth. Bullets, in part:
… Math
Growth increased two points to 51.0
Across the four years of
Growth, ... Math is up 5 points
The board
might have asked what growth is needed to see 4th graders (slide
7-only 17% proficient) improve enough to “meet expectations” by the time they
enter high school. Math Growth of 51
won’t do, as the district knows full well. See its 2019-20 Unified
Improvement Plan: “In order to boost achievement over time, APS is seeking
to increase our MGP in math to 65.0 MGP in the 2019-2020 school year.”[xv])
Slide 14 - School-level Growth. Bullets:
17
schools have growth of 50.0 or above on both [ELA and Math]
Notable
School Growth across both ELA/Math
Top
Schools by subject
The board
might have asked, at that point, is this the full story? (Among Slide 14’s “top
schools” for growth in math: Paris Elementary. Yes, growth was 66%, but why? Because 4.2%
proficient in 2018 "rose" to 6.4% in 2019. See Endnote ii.)
On Aug. 20, 2019, then, nowhere
in 22 pages a hint about a truly profound problem for 25 APS schools.
**
Sept. 3, 2019 - APS Board of Education meeting. The presentation on the results of 2019 CMAS
assessments included the state’s Preliminary 2019 District Performance Framework[xvi].
On page 2 of that 6-page accountability report from the Colorado Department of
Education, board members could find, if they looked closely, under Academic
Achievement at the elementary level:
721.6 Mean Scale
Score - Percentile Rank – 19
That is one
fact that AV #212 uses as well. But board members might not have appreciated
what those low numbers implied about the 25 schools that scored well below the
district average. I hope page 2 here provides more clarity. (Note–mean
scale score: Altura: 703.9; Paris: 705.5; percentile rank
for both: 1%.)
From that September
meeting on through June, I find no evidence that the district alerted the Board
of Education to the widespread low achievement in math. A diligent board member
might have noticed this one nugget on page 25 of the District
Unified Improvement Plan, shared at its December meetings.
Priority Performance Challenges and Root Causes
Priority Performance Challenge:
Low Academic and
Growth Performance in English Language Arts and Math State assessment results
show persistently low academic achievement and low growth in math and English
language arts across all grade levels.[xvii]
Other
than that, for nine months, almost nothing on an issue fundamental to the
district’s mission, to “accelerate learning for all students to develop the
knowledge, skills, and character necessary to shape successful futures.”
More
fundamental, I believe, than many items that the board did address. Such
as Blueprint APS. No comment here on the substance of Blueprint, but please
note how central it has been. Time well spent?
2)
What the district has asked the board and
the community to focus on—Blueprint APS—leading to exactly what? At the
June 16 board meeting, a no vote and a postponement.
APS board meetings have returned
to Blueprint APS time and again these past six months. Many resources devoted
to the future, to the unknowns about enrollment, to buildings—close? merge?
“repurpose”? District administrators
and school board members will say such study is “forward-thinking,” “being
responsible stewards of the facilities,” etc. OK. Not unimportant. But compare
the time spent on this look ahead with the lack of focus on a more
fundamental duty to students currently enrolled?
Jan.
7 - Blueprint APS Regional Design Team Update – 4 pages
Feb.
4 - Blueprint APS Regional Design Team Update – 13 pages
March
3 - Blueprint APS Regional Design Team Update – 6 pages
[Community Open House at three schools in February and March
– feedback on five
community-developed scenarios]
April
21 – APS Next Strategic Plan – 12 pages
- Blueprint APS – from Superintendent Rico Munn – 5
pages
May
12 – April 2020 Enrollment Update and Blueprint APS Charge 2 – 29 pages
May
26 – Blueprint APS Phase 3 Charge #1 Specializations - 34 pages
- LRFAC Reasoning Around Recommendations (7
Regions) – 4 pages
- APS
Regional Specialization Overview - 84 pages
[June 2 - APS BOE Virtual Town Hall]
June 16 – The Board of Education
is asked to motion on Top Specialization Recommendation.
Agenda indicated Estimated time for
discussion: 1 minute. Discussion
lasted over 65 minutes. One board member noted: “We’ve been doing this
(Blueprint APS) for two-and-a-half years.” Another board member said: “It has
been a big undertaking.” Both were among the 5 who voted no, and thus the
motion failed. On the proposal to postpone further discussion and any decision
on Blueprint APS until late August or early September, board voted in favor,
7-0.
The idea that less is more will look different for each district
and school. For APS, why not less time devoted to Blueprint, and more
attention to what is basic to a sound education?
Endnotes
[1] "Cracking down" - The Colorado Department of Education can only have so many priorities, and I appreciate its recent focus on reading: from its “critique” of the University of Northern Colorado for how it has prepared future teachers (“Concerned about reading instruction, state cracks down on teacher prep programs, starting with Colorado’s largest,” Chalkbeat Colorado - https://co.chalkbeat.org/2019/3/14/21109333/concerned-about-reading-instruction-state-cracks-down-on-teacher-prep-programs-starting-with-colorad, to potentially penalizing districts that do not adopt a reading curriculum that meets a new standard, “backed by science” (“Colorado is cracking down on reading curriculum. Here’s how Denver’s made the cut,” https://co.chalkbeat.org/2020/6/25/21303429/colorado-is-cracking-down-on-reading-curriculum-heres-how-denvers-made-the-cut). Such focus is warranted. Soon, however, the state might need to bring a similar attention to the way our schools of education teach mathematics and to the criteria districts and schools use in adopting math curriculum.
[ii]
In AV #199 I questioned how Paris Elementary could possibly have “earned’ a
rating of IMPROVEMENT in 2019, given its CMAS results.
Another View has studied Paris Elementary
School since 2015. Chalkbeat Colorado’s snapshot for 2019 reads:
Literacy - % Met or Exceeded Expectations 6.7
Math - % Met or Exceeded Expectations 6.4
Literacy Growth 38.5
Math Growth 66
Please stare at those achievement
results. A school that has earned our second highest SPF rating? Look at the
ELA and MATH scores over the past two years. How does that 66 in Math Growth
look now?
2018
|
2019
|
2018
|
2019
|
|
Percent of students
meeting or exceeding expectations
|
Number of students
meeting or exceeding expectations
|
|||
ELA
|
9.9%
|
6.7%
|
19
|
11 – out of 164 tested
|
MATH
|
4.2%
|
6.4%
|
8
|
11 – out of 171 tested
|
So 11 out of 171 Paris Elementary students who took the CMAS Math
in 2019 scored high enough to meet or exceed expectations. All of 3
more students than in 2018. And yet the school’s Math Growth score (which
only includes progress from grade 3 to grade 4, and from grade 4 to 5) is well
above average – 66.
[iv] http://www.cde.state.co.us/cdereval/rvprioryearpmdata from
there go to 2018-19 Pupil Membership, and from there to 2018-19 K-12 Free and Reduced Lunch Eligibility by
School (XLSX)
[viii]
http://www.cde.state.co.us/cdereval/rvprioryearpmdata from
there go to 2018-19 Pupil Membership, and from there to 2018-19 K-12 Free and Reduced Lunch Eligibility by
School (XLSX)
[ix]
From individual Final 2019 School Performance Framework for each school. http://www.cde.state.co.us/schoolview/performance
[xi] http://www.cde.state.co.us/cdereval/rvprioryearpmdata from
there go to 2018-19 Pupil Membership, and from there to 2018-19 PK-12 Free and Reduced Lunch Eligibility by
District (XLSX)
[xii]
CDE News Release on 2018-19 data - http://www.cde.state.co.us/cdereval/2018-19pupilenrollmentcountpressrelease
[xiii] “APS school board still
not being told student achievement data in ACTION Zone,” Another
View #177, March 13, 2018.