Scottish Survey of Achievement: 2005 English Language and Core Skills

Scottish Survey of Achievement: 2005 English Language and Core Skills - Practitioner's Report

Section F: Numeracy attainment estimates

F.1 National numeracy attainment estimates

Table F1 presents the 2005 estimates of numeracy attainment for Scotland (see Section C.2 for details of the assessment procedure and example tasks). The estimates are adjusted for the over-representation of reporting authorities in the national sample, and also for sample imbalance in terms of gender and deprivation, both within authorities and nationally (see Section B). The standard errors associated with the 'well-established or better' estimates were produced using the jackknife procedure.

Table F1
National numeracy attainment estimates
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	2766	69	18	10	3	13	0.9
	E	2766	32	23	25	20	45	1.4
	D	2766	9	14	29	48	77	1.2
P7	E	3283	49	23	20	8	28	1.3
	D	3283	16	16	32	36	68	1.2
	C	3283	6	9	24	61	85	0.9
P5	D	3236	56	22	17	5	22	1.1
	C	3236	26	23	24	27	51	1.3
	B	3236	6	10	22	62	84	1.0
P3	C	3192	81	14	4	1	5	0.5
	B	3192	37	26	16	21	37	1.2
	A	3192	3	6	10	81	91	0.8

* '< 50%' means fewer than 50% of the items at the level across two test booklets answered correctly, 'good start' means between 50% and 64%, 'well-established' is 65% to 79%, and 'very good' is 80% or more. ' SE' is the standard error for the 'well-established or better' estimate.

F.2 Numeracy attainment estimates, by gender

Table F2 presents national numeracy attainment estimates by gender. The estimates are adjusted for the over-representation of reporting authorities in the national sample, and also for sample non-representativeness in terms of deprivation, both within authorities and nationally (see Section B). The standard errors associated with the 'well-established or better' estimates were produced using the jackknife procedure. In general, there are no gender differences in numeracy attainment; a statistically significant difference for Level B at P3 is an exception.

Table F2
National numeracy attainment estimates, by gender
(% pupils categorised into each attainment band ^*)

Stage	Level	Gender	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	Boys	1397	71	17	9	3	12	1.3
	F	Girls	1369	67	19	11	3	14	1.3
	E	Boys	1397	34	21	27	18	45	2.0
	E	Girls	1369	30	24	25	21	46	2.0
	D	Boys	1397	11	15	27	47	74	1.7
	D	Girls	1369	8	12	30	50	80	1.6
P7	E	Boys	1575	50	21	20	9	29	1.9
	E	Girls	1708	49	25	19	7	26	1.6
	D	Boys	1575	17	17	30	36	66	1.8
	D	Girls	1708	15	16	33	36	69	1.7
	C	Boys	1575	7	9	24	60	84	1.3
	C	Girls	1708	6	7	24	63	87	1.2
P5	D	Boys	1615	55	21	18	6	24	1.7
	D	Girls	1621	57	23	16	4	20	1.5
	C	Boys	1615	26	23	23	28	51	1.4
	C	Girls	1621	27	23	23	27	50	1.8
	B	Boys	1615	6	10	22	62	84	1.4
	B	Girls	1621	5	11	21	63	84	1.5
P3	C	Boys	1613	77	17	4	2	6	0.8
	C	Girls	1579	85	12	2	1	3	0.5
	B	Boys	1613	35	23	17	25	42	1.8
	B	Girls	1579	38	30	15	17	32	1.7
	A	Boys	1613	3	6	10	81	91	1.0
	A	Girls	1579	4	5	10	81	91	1.2

F.3 Numeracy attainment estimates, by authority

Numeracy attainment estimates for the 16 reporting authorities are given in Tables F3a to F3p. All the attainment estimates have been adjusted for any sample non-representativeness in terms of gender and deprivation (see Section B). The standard errors associated with the 'well-established or better' estimates were produced using the jackknife procedure.

Table F3a
Numeracy attainment estimates: Aberdeen City
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	141	73	11	11	5	16	3.1
	E	141	43	15	21	21	42	4.4
	D	141	13	16	23	48	71	4.0
P7	E	164	54	22	18	6	24	3.6
	D	164	18	14	34	34	68	4.0
	C	164	8	11	25	56	81	3.4
P5	D	155	52	23	19	6	25	4.1
	C	155	26	24	24	26	50	4.7
	B	155	6	5	28	61	89	2.6
P3	C	155	82	13	4	1	5	1.7
	B	155	41	24	16	19	35	4.1
	A	155	6	1	10	83	93	2.3

Table F3b
Numeracy attainment estimates: Angus
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	153	68	18	8	6	14	2.8
	E	153	39	16	26	19	45	4.1
	D	153	10	20	25	45	70	3.9
P7	E	182	52	27	16	5	21	3.3
	D	182	14	16	36	34	70	3.7
	C	182	4	8	29	59	88	2.5
P5	D	180	55	23	16	6	22	3.3
	C	180	24	25	27	24	51	4.2
	B	180	4	6	30	60	90	2.5
P3	C	174	82	14	3	1	4	1.7
	B	174	41	24	14	21	35	4.0
	A	174	1	6	14	79	93	2.2

Table F3c
Numeracy attainment estimates: East Ayrshire
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	110	64	21	14	1	15	3.9
	E	110	28	22	25	25	50	5.6
	D	110	11	10	27	52	79	4.4
P7	E	174	52	19	20	9	29	3.8
	D	174	15	16	31	38	69	4.3
	C	174	7	9	26	58	84	3.3
P5	D	175	59	28	10	3	13	2.6
	C	175	27	18	32	23	55	4.2
	B	175	5	8	30	57	87	2.6
P3	C	177	80	14	4	2	6	1.9
	B	177	35	25	15	25	40	4.1
	A	177	2	7	10	81	91	2.6

Table F3d
Numeracy attainment estimates: East Dunbartonshire
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	132	56	15	23	6	29	4.2
	E	132	24	18	30	28	59	4.4
	D	132	7	6	30	57	87	3.0
P7	E	178	49	24	20	7	27	3.7
	D	178	9	19	36	36	72	3.7
	C	178	6	5	24	65	89	2.7
P5	D	178	50	26	18	6	24	3.5
	C	178	17	15	35	33	68	4.1
	B	178	4	6	20	70	90	3.2
P3	C	164	81	15	2	2	4	1.3
	B	164	30	30	15	25	40	4.3
	A	164	1	4	17	78	95	1.8

Table F3e
Numeracy attainment estimates: East Renfrewshire
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	178	53	22	17	8	25	3.4
	E	178	19	23	34	24	58	3.8
	D	178	7	13	20	60	80	3.2
P7	E	185	35	22	21	22	43	4.7
	D	185	8	13	32	47	79	3.8
	C	185	1	6	16	77	94	1.9
P5	D	176	43	18	26	13	39	4.4
	C	176	17	17	26	40	66	4.1
	B	176	4	8	14	74	88	2.7
P3	C	166	71	21	6	2	8	2.5
	B	166	21	33	21	25	46	4.7
	A	166	2	2	13	83	96	1.9

Table F3f
Numeracy attainment estimates: Edinburgh City
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	143	76	12	10	2	12	3.0
	E	143	31	27	29	13	42	4.6
	D	143	15	11	29	45	74	4.2
P7	E	160	54	15	23	8	31	4.6
	D	160	20	16	31	33	64	4.5
	C	160	7	8	25	60	85	3.0
P5	D	146	63	20	14	3	17	3.3
	C	146	30	23	28	19	47	4.7
	B	146	9	14	18	59	77	4.4
P3	C	149	79	17	4	0	4	1.6
	B	149	45	20	17	18	35	4.5
	A	149	7	8	13	72	85	4.3

Table F3g
Numeracy attainment estimates: Highland
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	140	59	29	10	2	12	3.2
	E	140	24	29	28	19	47	5.2
	D	140	7	7	35	51	86	3.1
P7	E	170	45	29	16	10	26	3.7
	D	170	11	17	33	39	72	4.2
	C	170	1	12	25	62	87	3.1
P5	D	175	49	25	17	9	26	3.8
	C	175	23	17	31	29	60	4.3
	B	175	4	7	22	67	89	2.7
P3	C	156	73	23	1	3	4	1.6
	B	156	28	26	18	28	46	4.6
	A	156	2	4	8	86	94	2.3

Table F3h
Numeracy attainment estimates: Inverclyde
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	172	81	10	8	1	9	2.3
	E	172	35	25	24	16	40	4.0
	D	172	12	12	29	47	76	3.5
P7	E	157	45	27	23	5	28	4.3
	D	157	12	14	44	30	74	3.9
	C	157	4	7	17	72	89	2.8
P5	D	157	48	25	22	5	28	4.1
	C	157	19	20	23	38	61	4.4
	B	157	6	9	19	66	85	3.2
P3	C	148	85	12	1	2	3	1.3
	B	148	43	21	16	20	36	4.4
	A	148	1	6	11	82	93	2.3

Table F3i
Numeracy attainment estimates: North Ayrshire
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	143	62	26	10	2	12	3.1
	E	143	28	20	32	20	52	4.7
	D	143	8	10	27	55	82	3.3
P7	E	159	60	25	13	2	15	3.6
	D	159	18	18	37	27	64	4.6
	C	159	8	11	24	57	81	3.6
P5	D	155	65	22	12	1	13	3.0
	C	155	27	24	27	22	49	4.8
	B	155	4	11	30	55	85	3.1
P3	C	153	85	11	0	4	4	2.5
	B	153	35	30	15	20	35	4.6
	A	153	3	4	9	84	92	2.1

Table F3j
Numeracy attainment estimates: North Lanarkshire
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	135	79	15	5	1	6	2.0
	E	135	40	20	23	17	40	5.1
	D	135	10	12	25	53	78	4.2
P7	E	169	55	21	17	7	24	3.7
	D	169	16	16	38	30	68	4.4
	C	169	7	6	29	58	87	2.7
P5	D	181	57	26	12	5	17	3.0
	C	181	27	21	26	26	52	4.2
	B	181	10	9	21	60	81	3.3
P3	C	156	91	7	2	0	2	1.0
	B	156	38	32	16	14	30	4.4
	A	156	11	4	8	77	85	3.5

Table F3k
Numeracy attainment estimates: Perth & Kinross
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	154	69	17	7	7	14	2.9
	E	154	31	26	23	20	43	4.2
	D	154	9	13	33	45	78	3.4
P7	E	162	49	27	19	5	24	3.8
	D	162	10	26	29	35	64	4.3
	C	162	5	9	22	64	86	3.4
P5	D	159	45	25	20	10	30	4.2
	C	159	18	23	24	35	59	4.4
	B	159	2	9	14	75	89	2.6
P3	C	159	79	16	3	2	5	1.8
	B	159	25	31	24	20	44	4.7
	A	159	0	3	10	87	97	1.8

Table F3l
Numeracy attainment estimates: Renfrewshire
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	164	60	17	14	9	23	3.9
	E	164	27	19	29	25	54	4.1
	D	164	7	14	22	57	79	3.3
P7	E	157	45	26	22	7	29	4.2
	D	157	16	14	31	39	70	4.2
	C	157	6	13	17	64	81	3.6
P5	D	149	59	20	17	4	21	3.5
	C	149	27	22	23	28	51	4.6
	B	149	6	7	24	63	87	3.6
P3	C	161	78	16	4	2	6	2.2
	B	161	40	21	20	19	39	4.2
	A	161	5	6	9	80	90	2.4

Table F3m
Numeracy attainment estimates: South Ayrshire
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	146	68	14	10	8	18	3.4
	E	146	28	21	30	21	51	4.4
	D	146	10	15	28	47	75	3.9
P7	E	171	47	19	23	11	34	4.0
	D	171	14	13	32	41	73	3.9
	C	171	9	6	22	63	85	3.4
P5	D	169	50	27	17	6	22	3.8
	C	169	22	17	28	33	61	4.4
	B	169	7	9	17	67	84	3.2
P3	C	169	83	15	2	0	2	1.0
	B	169	29	29	20	22	42	4.3
	A	169	2	1	8	89	97	1.4

Table F3n
Numeracy attainment estimates: South Lanarkshire
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	147	71	19	8	2	10	2.6
	E	147	31	26	22	21	43	4.8
	D	147	10	10	29	51	80	3.7
P7	E	179	43	27	23	7	30	3.8
	D	179	11	12	33	44	77	3.5
	C	179	5	5	23	67	90	2.4
P5	D	144	56	23	16	5	21	3.7
	C	144	19	26	28	27	55	5.2
	B	144	5	6	19	70	89	3.7
P3	C	159	72	22	4	2	6	2.0
	B	159	22	30	17	31	48	4.7
	A	159	1	4	5	90	95	1.8

Table F3o
Numeracy attainment estimates: Stirling
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2 ^*	F	76	74	9	11	6	17	4.4
	E	76	41	17	22	20	42	6.2
	D	76	9	18	33	40	73	6.2
P7	E	170	57	22	14	7	21	3.4
	D	170	11	22	34	33	67	4.4
	C	170	3	6	25	66	91	2.3
P5	D	170	58	22	19	1	20	3.4
	C	170	28	26	23	23	46	4.2
	B	170	8	11	19	62	81	3.4
P3	C	164	78	16	3	3	6	2.1
	B	164	40	24	17	19	36	4.6
	A	164	3	11	9	77	86	2.8

** Three of the seven secondary schools in this authority chose not to participate in the survey.

Table F3p
Numeracy attainment estimates: West Lothian
(% pupils categorised into each attainment band ^*)

Stage	Level	Pupils	< 50%	Good start	Well-estab.	Very good	Well-estab. or better	SE
S2	F	130	72	16	12	0	12	2.7
	E	130	30	27	26	17	43	4.8
	D	130	9	15	37	39	76	4.3
P7	E	148	56	22	17	5	22	4.1
	D	148	17	27	26	30	56	4.6
	C	148	7	9	29	55	84	3.2
P5	D	149	56	23	18	3	21	3.7
	C	149	31	23	23	23	46	4.6
	B	149	4	13	23	60	83	3.5
P3	C	150	77	16	3	4	7	2.5
	B	150	41	22	14	23	37	4.5
	A	150	2	7	9	82	91	2.5

F.4 Mathematics attainment estimates based on teachers' judgments

Schools were invited to submit a level judgment for mathematics for each pupil sampled for involvement in the survey. Judgments were submitted for around 80% of the sampled pupils. Table F4 presents the national picture of mathematics attainment based on the class teachers' judgments. Tables F5a to F5p record corresponding results by authority.

In all cases the estimates are weighted to adjust for sample imbalances in gender and deprivation representation; the national estimates are further weighted to adjust for the over-representation of the reporting authorities (see Section B for details).

Table F4
Teachers' judgments of pupils' mathematics attainment: the national picture
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Group	Pupils	<A	A	B	C	D	E	F
S2	All pupils	6331	0	0	3	11	26	42	18
	Boys	3213	0	0	3	11	27	40	18
	Girls	3118	0	0	3	10	25	44	18
P7	All pupils	6729	0	0	5	20	56	18	0
	Boys	3306	0	1	5	21	53	19	1
	Girls	3423	0	0	4	20	58	16	0
P5	All pupils	6814	0	4	44	49	4	0	0
	Boys	3436	0	4	44	48	4	0	0
	Girls	3378	0	4	43	49	4	0	0
P3	All pupils	6683	2	75	22	1	0	0	0
	Boys	3390	2	75	22	1	0	0	0
	Girls	3293	1	75	23	1	0	0	0

* For 'all pupils' the standard error is between 0.1 and 0.9 percentage points for non-zero estimates, and between 0.1 and 1.3 percentage points for each non-zero gender estimate.

There were no gender differences in numeracy attainment nationally, as Table F4 confirms, and neither did gender differences emerge consistently in any of the local authorities.

Table F5a
Teachers' judgments of pupils' mathematics attainment Aberdeen City
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	<A	A	B	C	D	E	F
S2	336	0	0	6	16	30	32	15
P7	341	0	0	6	30	58	6	0
P5	335	0	5	48	46	1	0	0
P3	328	2	83	15	0	0	0	0

* Standard errors vary between 0.3 and 3 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5
Teachers' judgments of pupils' mathematics attainment Angus
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	<A	A	B	C	D	E	F
S2	319	0	0	4	13	30	38	14
P7	404	0	0	6	27	57	10	0
P5	395	0	3	43	52	1	0	0
P3	381	2	78	19	0	0	0	0

* Standard errors vary between 0.2 and 2.7 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5c
Teachers' judgments of pupils' mathematics attainment East Ayrshire
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	<A	A	B	C	D	E	F
S2	248	0	0	3	14	14	48	20
P7	337	0	0	4	24	65	7	0
P5	344	0	6	50	41	3	0	0
P3	345	3	83	14	0	0	0	0

* Standard errors vary between 0.1 and 3.0 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5d
Teachers' judgments of pupils' mathematics attainment East Dunbartonshire
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	A	B	C	D	E	F
S2	324	0	3	10	31	41	16
P7	409	0	2	13	62	23	0
P5	379	2	26	68	4	0	0
P3	388	64	36	0	0	0	0

* Standard errors vary between 0.3 and 2.8 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5e
Teachers' judgments of pupils' mathematics attainment East Renfrewshire
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	A	B	C	D	E	F
S2	362	0	1	7	13	50	30
P7	394	0	1	14	45	38	2
P5	390	1	25	61	13	0	0
P3	393	41	51	8	0	0	0

* Standard errors vary between 0.5 and 2.9 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5f
Teachers' judgments of pupils' mathematics attainment Edinburgh City
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	<A	A	B	C	D	E	F
S2	333	0	1	9	8	32	35	14
P7	322	0	0	6	26	44	24	0
P5	312	0	4	43	45	8	0	0
P3	303	4	76	18	2	0	0	0

* Standard errors vary between 0.4 and 3.2 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5g
Teachers' judgments of pupils' mathematics attainment Highland
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	A	B	C	D	E	F
S2	334	0	2	10	20	53	15
P7	332	2	4	15	59	20	0
P5	389	6	41	50	3	0	0
P3	269	71	29	0	0	0	0

* Standard errors vary between 0.2 and 3.1 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5h
Teachers' judgments of pupils' mathematics attainment Inverclyde
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	<A	A	B	C	D	E	F
S2	348	0	0	3	14	22	56	5
P7	354	0	1	4	33	61	1	0
P5	332	0	6	48	44	2	0	0
P3	328	2	71	25	2	0	0	0

* Standard errors vary between 0.3 and 2.9 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5i
Teachers' judgments of pupils' mathematics attainment North Ayrshire
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	<A	A	B	C	D	E	F
S2	372	1	0	4	14	16	51	13
P7	341	0	0	3	21	64	11	0
P5	279	0	6	57	37	1	0	0
P3	309	5	82	13	0	0	0	0

* Standard errors vary between 0.3 and 3.4 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5j
Teachers' judgments of pupils' mathematics attainment North Lanarkshire
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	<A	A	B	C	D	E	F
S2	246	0	0	3	10	47	34	5
P7	301	0	0	5	22	56	17	0
P5	350	0	4	32	58	6	0	0
P3	324	2	75	23	0	0	0	0

* Standard errors vary between 0.3 and 3.9 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5k
Teachers' judgments of pupils' mathematics attainment Perth & Kinross
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	<A	A	B	C	D	E	F
S2	368	0	0	2	10	28	34	25
P7	345	1	1	3	21	58	17	0
P5	337	0	3	35	60	2	0	0
P3	328	4	72	25	0	0	0	0

* Standard errors vary between 0.4 and 2.9 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5l
Teachers' judgments of pupils' mathematics attainment Renfrewshire
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	A	B	C	D	E	F
S2	319	0	1	10	30	45	15
P7	332	0	5	21	56	15	1
P5	311	1	43	49	7	0	0
P3	314	63	35	2	0	0	0

* Standard errors vary between 0.3 and 3.1 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5m
Teachers' judgments of pupils' mathematics attainment South Ayrshire
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	<A	A	B	C	D	E	F
S2	310	0	1	3	15	25	40	16
P7	348	0	0	4	17	48	30	0
P5	371	0	3	35	58	4	0	0
P3	356	1	64	35	0	0	0	0

* Standard errors vary between 0.2 and 2.9 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5n
Teachers' judgments of pupils' mathematics attainment South Lanarkshire
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	<A	A	B	C	D	E	F
S2	375	0	0	3	7	29	47	15
P7	335	0	0	6	14	73	7	0
P5	322	0	3	31	66	0	0	0
P3	356	2	63	36	0	0	0	0

* Standard errors vary between 0.2 and 3.0 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5o
Teachers' judgments of pupils' mathematics attainment Stirling
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	<A	A	B	C	D	E	F
S2	243	0	1	6	12	24	35	21
P7	359	0	0	4	21	54	21	1
P5	388	0	4	36	54	6	0	0
P3	376	2	67	31	0	0	0	0

* Standard errors vary between 0.2 and 3.1 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

Table F5p
Teachers' mathematics attainment estimates West Lothian
(% pupils judged to be at indicated levels by their teachers ^*)

Stage	Pupils	A	B	C	D	E	F
S2	257	0	2	11	27	45	15
P7	308	0	3	27	54	13	2
P5	296	5	42	53	0	0	0
P3	280	85	14	0	0	0	0

* Standard errors vary between 0.1 and 3.3 percentage points for non-zero estimates, the higher the percentage estimate the higher the standard error.

F.5 Numeracy attainment: 2005 compared with 2000

Test-based numeracy attainment estimates for 2005 and 2000 are presented in Table F6 below. The 2000 estimates derive from the AAP Mathematics Survey of that year, data relating to numeracy items were retrospectively analysed to produce the attainment proportions presented here. The table contains data for P7 and S2 only, because P3 and P5 were not assessed in the 2000 survey; there is no estimate for Level F at S2 because no Level F numeracy items were administered in the 2000 survey. As the table clearly shows, there appears to have been no change since 2000 in Level C or Level E attainment at P7 or at S2, but for both stages there is a significant increase in the attainment estimate for Level D.

Table F6
'Well established or better' numeracy attainment in 2000 and in 2005*
(% pupils achieving 65% or more of the marks on their level-specific item sets)

Stage	Year	Pupils/level	Level C	Level D	Level E	Level F
S2	2005	3000-3500		77	45	13
S2	2000	3000-3500		64	43
P7	2005	approx.4000	85	68	28
P7	2000	approx.4000	84	49	28

* For 2000 these are unweighted estimates, based on a retrospective analysis of data furnished by the AAP Mathematics Survey that year (the AAP pupil sample was by design nationally representative). The 2005 attainment estimates are weighted.

F.6 Mathematical literacy attainment

Table F7 records the national test-based estimates for mathematical literacy attainment in 2005. As the table confirms, there is no evidence in the data of any gender difference in mathematical literacy attainment.

Table F7
Mathematical literacy attainment
(% pupils 'well-established or better* at the indicated level)

Stage	Group	Pupils	Level A	Level B	Level C	Level D	Level E
S2	All pupils	2430				53	34
	Boys					52	34
	Girls					54	35
P7	All pupils	3258			75	46
	Boys				76	46
	Girls				76	45
P5	All pupils	3185		76	50
	Boys			73	50
	Girls			80	50
P3	All pupils	3149	72	30
	Boys		72	32
	Girls		72	29

* 'Well-established' or better is indicated by 65% or more of the items correct in the task at the level.

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