south african teacher content knowledge in local and international perspective nic spaull naptosa...
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South African Teacher Content Knowledge in Local and International Perspective
Nic Spaull www.nicspaull.com/research
NAPTOSA Gauteng Leadership ConferenceAugust 2013
2
Overview
• Background information to SA education system
• South African teachers’ content knowledge– By sub-group– Relative to other African countries– In specific content areas– Relative to Grade 8 international students
• Educational outcomes in Gauteng 1995-2011
Bird’s-eye view of the South African
education system
Not all schools are born equal
4
SA public schools?
?Pretoria Boys High School
Education and inequality?
Type of education
Quality of education
Duration of
education
SA is one of the top 3 most
unequal countries in the world
Between 78% and 85% of
total inequality is explained by
wage inequality
Wages
• IQ• Motivation• Social
networks• Discrimination
Attai
nmen
tQ
ualit
yTy
pe
6
High SES background
+ECDHigh quality primary school
High quality
secondaryschool
Low SES background
Low quality primary school
Low quality secondary
school
Unequal society
17% Semi-Skilled (31%)
Unskilled(19%)
Unemployed
(Broad - 33%)
Labour Market
High productivity jobs and incomes (17%)
• Mainly professional, managerial & skilled jobs
• Requires graduates, good quality matric or good vocational skills
• Historically mainly white
Low productivity jobs & incomes
• Often manual or low skill jobs
• Limited or low quality education
• Minimum wage can exceed productivity
University/FET
• Type of institution (FET or University)
• Quality of institution • Type of qualification
(diploma, degree etc.)• Field of study
(Engineering, Arts etc.)
• Vocational training• Affirmative action
Majority (80%)
Some motivated, lucky or talented students make the transition
Minority (20%)
- Big demand for good schools despite fees
- Some scholarships/bursaries
cf. Servaas van der Berg – QLFS 2011
South African teacher content knowledge
8
Teacher Content Knowledge• Conference Board of the Mathematical Sciences (2001, ch.2) recommends that
mathematics teachers need: – “A thorough mastery of the mathematics in several grades beyond that
which they expect to teach, as well as of the mathematics in earlier grades” (2001 report ‘The Mathematical Education of Teachers’)
• Ball et al (2008, p. 409) – “Teachers who do not themselves know the subject well are not likely to
have the knowledge they need to help students learn this content. At the same time just knowing a subject may well not be sufficient for teaching.”
• Shulman (1986, p. 9)– “We expect that the subject matter content understanding of the teacher
be at least equal to that of his or her lay colleague, the mere subject matter major”
9
South Africa specifically…
• Taylor & Vinjevold’s (1999, p. 230) conclusion in their book “Getting Learning Right” is particularly explicit:
• “The most definite point of convergence across the [President’s Education Initiative] studies is the conclusion that teachers’ poor conceptual knowledge of the subjects they are teaching is a fundamental constraint on the quality of teaching and learning activities, and consequently on the quality of learning outcomes.”
10
Carnoy & Chisholm (2008: p. 22) conceptual framework
Teacher knowledge
Student understands & can calculate
fractions
PCK – how to teach
fractions
CK – How to do
fractions
“For every increment of performance I demand from you, I have an equal responsibility to provide you with the capacity to meet that expectation. Likewise, for every investment you make in my skill and knowledge, I have a reciprocal responsibility to demonstrate some new increment in performance”
(Elmore, 2004b, p. 93).
Teachers cannot teach what they do not know.
Demonizing teachers is popular, but unhelpful
SACMEQ
Southern and Eastern African Consortium for Monitoring Educational Quality
14 participating countries
SACMEQ II (2000), SACMEQ III (2007)
Nationally representative
Testing :
o Gr 6 Numeracy
o Gr 6 Literacy
o HIV/AIDS Health knowledge
SACMEQ III: South Africa
9071 Grade 6 students
1163 Grade 6 teacher tests
392 primary schools• See SACMEQ website for research
Background: Data
13
Background Data
14
Mathematics teacher content knowledge (SACMEQ 2007)
Source: Stephen Taylor
15Rural urban
700
720
740
760
780
800
820
840
BOTKENLESMOZNAMSEYSOUSWATANUGAZIM
Reading teacher reading score by SCHOOL LOCATION of schools SES (SACMEQ 2007)
16Rural Urban700
750
800
850
900
950
BOTKENLESMOZNAMSEYSOUSWATANUGAZIM
Mathematics teacher mathematics score by SCHOOL LOCATION (SACMEQ 2007)
17
Mathematics teacher mathematics score by SCHOOL LOCATION (SACMEQ 2007)
600
650
700
750
800
850
900
950
1000
Series1
Rural lower bound confidence interval (95%) Rural upper bound confidence interval (95%)Urban lower bound confidence interval (95%) Urban upper bound confidence interval (95%)
Mat
hs-t
each
er m
athe
mati
cs sc
ore
18
1 2 3 4 5700
750
800
850
900
950
Kenya
South Africa
Swaziland
TanzaniaZimbabwe
BotswanaKenyaNamibiaSeychellesSouth AfricaSwazilandTanzaniaZimbabwe
Quintiles of school SES
Mat
hem
atics
teac
her m
athe
mati
cs sc
ore
Mathematics teacher mathematics score by QUINTILE of schools SES (SACMEQ 2007)
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1 2 3 4 5700
720
740
760
780
800
820
840
860
880
Botswana
Kenya
Namibia
Seychelles
South Africa
Swaziland
Tanzania
BotswanaKenyaNamibiaSeychellesSouth AfricaSwazilandTanzaniaZimbabwe
Quintiles of school SES
Mea
n Re
adin
g te
ache
r rea
ding
scor
e
Reading teacher reading score by QUINTILE of schools SES (SACMEQ 2007)
Student and Mathematics teacher’s content knowledge by
province (14 countries 115
provinces)
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SACMEQ 2007 Student and teacher mathematics content knowledge by province (115 provinces across 14 countries)
North Unguja South Pemba Tete Thaba-Tseka Zambezia KwaZulu Natal Central South Ohangwena South East Bulawayo BOT-Central SEY-Central TAN-Central KEN-Northern Rift Valley0
100
200
300
400
500
600
700
800
900
1000
0
100
200
300
400
500
600
700
800
900
1000
MpumalangaLimpopo
Gauteng
Western Cape
Student maths score Teacher's additional content knowledge Maths teacher content knowledge score
Which content areas do South African teachers struggle
with?
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ZAM LES ZAN BOT MAL MOZ NAM SWA SOU ZIM SEY UGA TAN KEN0
10
20
30
40
50
60
70
80
90
100
Arithmetic operations (10 Qs) Space and shape (8 Qs) Fractions, ratio and proportion (10 Qs)Algebraic logic (9 Qs) Rate of change (7 Qs)
Country
Perc
enta
ge it
ems c
orre
ct
Mathematics teacher performance by content area (SACMEQ III - 2007)
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Rate of change exampleSACMEQ III (2007) 401/498 Gr6 Mathematics teachers
SACMEQ Maths teacher test Q17
QuintileAvg
1 2 3 4 5Correct 23% 22% 38% 40% 74% 38%
Correct answer (7km):
38% of Gr 6 Maths teachers
7
2 education systems
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Percentage of Grade 6 mathematics teachers with correct answer on Q17 rate of change example of the SACMEQ III (2007) mathematics teacher test
ZAN MOZ ZAM LES MAL SOU NAM SWA BOT UGA TAN SEY ZIM KEN0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
17%24%
31% 31%35%
38%
38%
49% 49% 51%55%
62%
71%
80%
26
SA Grade 6 Teacher knowledge...
Q6: 53% correct (D)
Q9: 24% correct (C)English Q9: 57% correct (D)
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Suggestive of serious deficits in teacher content knowledge
What do South African teachers know relative
to international students?
• Conference Board of the Mathematical Sciences (2001, ch.2) recommends that mathematics teachers need: – “A thorough mastery of the mathematics in several grades beyond that which
they expect to teach, as well as of the mathematics in earlier grades” (2001 report ‘The Mathematical Education of Teachers’)
29
Background…
• The SACMEQ 2007 teacher test tested Grade 6 Mathematics teachers.
• The TIMSS 1995 test tested Grade 8 students from 38 countries in maths and science.
• 16 items were common to both tests…
30
South Afri
ca
Philippines
Portuga
l
Icelan
d
Engla
nd
New Ze
aland
Lithuan
ia
Cypru
s
Latvia
(LSS
)
ZANZIB
AR
Romania
TIMSS
Gr8 Avg
Irelan
d
Switz
erlan
d
SOUTH
AFRICA
MOZAMBIQ
UE
Austria
Russian
Federa
tion
Bulgaria
Slova
k Rep
ublic
Belgium (F
l)
Czech Rep
ublic
SACMEQ
AVG.
Hong Kong
Korea
TANZA
NIAKEN
YA0%
10%
20%
30%
40%
50%
60%
70%
80%
Aver
age
perc
enta
ge co
rrec
t on
16 co
mm
on m
athe
mati
cs it
ems
SACMEQ Grade 6 teachers’ average correct response (dark red) and TIMSS Grade 8 average correct response (light red) on 16 items common to Gr 8 TIMSS Mathematics test 1995 and SACMEQ Grade 6 mathematics teachers test 2007
Solutions?
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Possible solution…
• The DBE cannot afford to be idealistic in its implementation of teacher training and testing– Aspirational planning approach: All primary school mathematics teachers
should be able to pass the matric mathematics exam (benchmark = desirable teacher CK)
– Realistic approach: (e.g.) minimum proficiency benchmark where teachers have to achieve at least 90% in the ANA of the grades in which they teach, and 70% in Grade 9 ANA
(benchmark = basic teacher CK)
• Pilot the system with one district. Imperative to evaluate which teacher training option (of hundreds) works best in urban/rural for example. Rigorous impact evaluations are needed before selecting a program and then rolling it out
• Tests are primarily for diagnostic purposes not punitive purposes
Accountability stages...
• SA is a few decades behind many OECD countries. Predictable outcomes as we move from stage to stage. Loveless (2005: 7) explains the historical sequence of accountability movements for students – similar movements for teachers?
– Stage 1 – Setting standards (defining what students should learn),
– CAPS– Stage 2 - Measuring achievement
(testing to see what students have learned),– ANA
– Stage 3 - Holding educators & students accountable (making results count).
– Western Cape performance agreements?
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3) Holding accountable
2) Measuring achievement
1) Setting standards
Stages in accountability movements:
TRAINING
“For every increment of performance I demand from you, I have an equal responsibility to provide you with the capacity to meet that expectation. Likewise, for every investment you make in my skill and knowledge, I have a reciprocal responsibility to demonstrate some new increment in performance” (Elmore, 2004b, p. 93).
How have educational outcomes changed in
Gauteng between 1995 and 2011?
35
LMP ECA NWP KZN MPU FST GAU NCA WCA NATIONAL0
50
100
150
200
250
300
350
400
450
1995* Maths Gr8 1998 Maths Gr8 2002 Maths Gr8
TIM
SS M
aths
scor
eFigure 1: Provincial scores for Grade 8 Mathematics, TIMSS 1995*, 1999, 2002 (with 95% confidence interval)
36
ECA
LMP
KZNNW
PMPU
NCA FST
GAUW
CA
National
TIMSS
Gr8 ben
chmark
Indepden
dent
0
50
100
150
200
250
300
350
400
450
500
313 321 333 342 343 350 354383
403
352
433474
2002 Maths Gr9 2011 Maths Gr9
Figure 5: Provincial average for Grade 9 Mathematics, TIMSS 2002 and TIMSS 2011 (with 95% confidence interval) - TIMSS benchmark used here is the average TIMSS middle-income Grade 8 mathematics mean score
37
WCA NCA KZN MPU NWP ECA FST LMP GAU National
-20
0
20
40
60
80
100
-11
10
55 5662 63 63
77 80
67
Impr
ovem
ent b
etw
een
Gr9
TIM
SS 2
002
and
TIM
SS 2
011
Figure 7: Provincial improvement between TIMSS 2002 and TIMSS 2011 - Grade 9 Mathematics (with 95% confidence interval)
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EC NW FS LP KN MP NC WC GP EC NW FS LP KN MP NC WC GP
Gr2 enrolments - 2001
209954 64940 54481 128831 212734 76468 16885 65220 115464
Gr10 enrolments - 2009
150372 68078 63999 171076 218528 89809 21421 70451 162626
Gr12 enrolments - 2011
65359 25364 25932 73731 122126 48135 10116 39960 85367
Gr12 matric passes - 2011
37997 19737 19618 47091 83204 31187 6957 33110 69216
Matric passes as a % of Gr2 enrol-ments 10 years ear-lier
18% 30% 36% 37% 39% 41% 41% 51% 60%
25,000
75,000
125,000
175,000
225,000
5%
15%
25%
35%
45%
55%
65%
18%
30%36% 37% 39% 41% 41%
51%
60%
Gr2 enrolments - 2001 Gr10 enrolments - 2009Gr12 enrolments - 2011 Gr12 matric passes - 2011Matric passes as a % of Gr2 enrolments 10 years earlier
Provincial matric pass rates as a percentage of Grade 2 enrolments 10 years earlier
39
Matric performance in Gauteng 2011
26%
14%
36%
24%
Gauteng
Drop-out before Grade 12Fail matricPass matricPass with Bachelors
40
26%
14%
36%
24%
Gauteng
Drop-out before Grade 12Fail matricPass matricPass with Bachelors
Other provinces…
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Gr12 in 2004 (Gr2 in 1994)
Gr12 in 2005 (Gr2 in 1995)
Gr12 in 2006 (Gr2 in 1996)
Gr12 in 2006 (Gr2 in 1996)
Gr12 in 2009 (Gr2 in 1999)
Gr12 in 2010 (Gr2 in 2000)
Gr12 in 2011 (Gr2 in 2001)
EC 0.115969334719335
0.142480866176582
0.147266323373551
0.142015378564547
0.130669355475878
0.161233917623694
0.180977737980701
GP 0.441515756911774
0.44808121094118
0.431974633587901
0.469063607121151
0.467150927103863
0.517888123371292
0.599459571814592
KN 0.303426948377001
0.303377697044247
0.285785581101969
0.311521762081981
0.295571534220296
0.34941062489908
0.391117545855387
LP 0.299205345658288
0.337041025813617
0.311839295460446
0.333432782385584
0.23966990724958
0.356215611545416
0.365525378208661
WC 0.395041816009558
0.371291135200447
0.376818150971566
0.390524405608146
0.357171356572869
0.414793026246844
0.507666360012266
5%
15%
25%
35%
45%
55%
65%
EC GP KN LP WC
Matric pass rates as a percentage of Grade 2 enrolments 10 years earlier for selected provinces – see Taylor (2012: p. 9)
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Conclusions1. Below-basic teacher content knowledge is a binding constraint to progress
– Teachers cannot teach what they do not know
2. The average Grade 6 mathematics teacher in South Africa has lower CK than Grade 6 maths teachers from other African countries and lower levels of CK than Grade 8 students from some OECD countries.– Serious problem which needs well-thought out, rigorous, proven ways of improving CK to basic levels
3. Teachers in South Africa have highly variable content knowledge (urban/rural, rich/poor)– High quality teachers in SA are the minority and are highly unequally distributed
4. The Department does not seem to have a credible plan to address the crisis in teacher content knowledge.– Programs should be piloted and evaluated before roll out– Billions have been wasted on ineffective teacher training, partially because the impact of those
programs was not proven prior to implementation
5. Of all the nine provinces, Gauteng has improved the most and is most efficient in “converting” Grade 2 enrolments into matric passes
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Comments, questions and suggestions welcome…
• @NicSpaull
• www.nicspaull.com/research
• www.resep.sun.ac.za