mathematics
Mathematics 2001.pdf [33.7 MB] - NEMP - University of Otago
Mathematics 2001.pdf [33.7 MB] - NEMP - University of Otago
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14 NEMP Report 23: Mathematics 2001<br />
Addition Examples<br />
trend<br />
Multiplication Examples<br />
trend<br />
Approach: Independent Level: Year 4 and year 8<br />
Focus: Adding without a calculator.<br />
Resources: None.<br />
Questions/instructions<br />
% responses<br />
2001 (’97) 2001 (’97)<br />
Write your answers in the white boxes.<br />
year 4 year 8<br />
You can use the shaded area to do your<br />
working.<br />
5<br />
1. + 8<br />
13 89 (91) 97 (95)<br />
2. 6<br />
3<br />
8<br />
7<br />
+ 4<br />
28 66 (72) 90 (91)<br />
3. 42<br />
+ 35<br />
77 80 (79) 96 (96)<br />
4. 87<br />
+ 56<br />
143 56 (51) 92 (90)<br />
5. 327<br />
+ 436<br />
763 59 (59) 89 (90)<br />
6. 5607<br />
3294<br />
6358<br />
+ 7286<br />
22545 • 69 (67)<br />
Approach: Independent Level: Year 4 and year 8<br />
Focus: Multiplying without a calculator.<br />
Resources: None.<br />
Questions/instructions<br />
% responses<br />
2001 (’97) 2001 (’97)<br />
Write your answers in the white boxes.<br />
year 4 year 8<br />
You can use the shaded area to do your<br />
working.<br />
34<br />
1. 2<br />
68 65 (61) 94 (95)<br />
2. 43<br />
7<br />
301 26 (18) 80 (76)<br />
3. 412<br />
3<br />
1236 45 (34) 90 (88)<br />
4. 726<br />
5<br />
3630 23 (19) 82 (76)<br />
5. 3074<br />
6<br />
18444 11 (8) 65 (58)<br />
6. 74<br />
23<br />
1702 • 61 (53)<br />
7. 6243<br />
34<br />
212262 • 45 (37)<br />
7. 36 +117 + 6 + 23 + 240= 422 • 62 (57)<br />
• not asked for year 4<br />
Total score: 7 • 40 (32)<br />
6 • 33 (39)<br />
5 36 (35) 16 (19)<br />
4 21 (21) 7 (5)<br />
3 18 (20) 2 (4)<br />
2 12 (13) 1 (0)<br />
1 9 (8) 1 (1)<br />
0 4 (3) 0 (0<br />
Commentary<br />
At both year levels, the 2001 students performed very<br />
similarly to the 1997 students. Comparative performance<br />
on questions 3 and 4 shows that many year 4 students<br />
struggled when required to rename (carry).<br />
• not asked for year 4<br />
Total score: 7 • 25 (20)<br />
6 • 28 (23)<br />
5 6 (5) 19 (20)<br />
4 12 (8) 12 (15)<br />
3 12 (7) 7 (9)<br />
2 18 (18) 4 (7)<br />
1 20 (25) 2 (4)<br />
0 32 (37) 3 (2)<br />
Commentary<br />
Year 8 students performed much better than year 4 students<br />
on multiplication tasks. There was a small improvement<br />
between 1997 and 2001 for both years: 10 percent<br />
more year 4 students got at least 3/5 correct, and 9 percent<br />
more year 8 students got at least 5/7 correct.