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1 Sie finden auf den folgenden Seiten die Bewertungsrichtlinien für alle freigegebenen TIMSS 2007 Aufgaben mit offenem Antwortformat. Bei TIMSS wird neben der richtigen/falschen Lösung auch immer der gewählte Lösungsweg bzw. die Art des Fehlers miterfasst. Daher bestehen die Codes für die Bewertung der Antworten aus 2 Ziffern: Die erste Ziffer steht für den Grad der Korrektheit und die zweite Ziffer für den Lösungsweg/Art des Fehlers. Je nach Komplexität der Aufgabe erhalten die Schüler/innen für die richtige Lösung entweder einen oder zwei Punkt/e. Bei 2 Punkt Aufgaben wird zwischen vollständig richtigen (2 Punkte) und teilweise richtigen Antworten (1 Punkt) unterschieden. Falsche Antworten werden mit der Ziffer 7 vercodet. Gibt ein Schüler/eine Schülerin keine Antwort, so wird dies mit der Ziffer 99 vercodet. Details zu den Bewertungsrichtlinien finden Sie in unserer Broschüre: Suchan, B., Wallner Paschon, C. & Schreiner, C. (2008). TIMSS Mathematik und Naturwissenschaft in der Grundschule. Die Studie im Überblick. Graz: Leykam.

2 ID: M Mathematics Grade 4 Code Response Item: M Other incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M01_01 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 1

3 ID: M Mathematics Grade 4 Code Response Item: M OR Other incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M01_02 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 2

4 ID: M Mathematics Grade 4 Code Response Item: M with work shown Partial Response with no work shown 11 Correct method with computational error Other incorrect (including crossed out/erased, stray marks, illegible or off task) Block_Seq: M01_03 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 3

5 ID: M Mathematics Grade 4 Block_Seq: M01_04 Code Response Item: M Double the number in the triangle and add 1 (e.g., double and add 1; multiply by 2 and add 1) 19 Other correct, including adding the next highest number to the given number in the triangle (e.g., = 9) 79 Incorrect (including crossed out/erased, stray marks, illegible, or off task) [Example responses provided on the following pages.] TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 4

6 ID: M Mathematics Grade 4 Code Response Item: M : :00 79 Other incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M01_06 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 6

7 ID: M Mathematics Grade 4 Code Response Item: M Incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M01_07 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 7

8 ID: M Mathematics Grade 4 Code Response Item: M Other incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M01_08 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 8

9 ID: M Mathematics Grade 4 Code Response Item: M The two congruent triangles below the diagonal marked 79 Incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M01_09 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 9

10 ID: M Mathematics Grade 4 Code Response Item: M Number of tally marks in table as listed below. Number Number of Tally Marks 1 5 tally marks 2 4 tally marks 3 3 tally marks 4 2 tally marks 70 One tally incorrect Block_Seq: M01_10 71 Two or more tallies incorrect 79 Other incorrect (including crossed out/erased, stray marks, illegible, or off task) [Example responses provided on the following pages.] TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 10

11 ID: M Mathematics Grade 4 Code Response Item: M Other incorrect (including crossed out, erased, stray marks, illegible, or off task) Block_Seq: M02_03 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 13

12 ID: M Mathematics Grade 4 Code Response Item: M Other incorrect (including crossed out, erased, stray marks, illegible, or off task) Block_Seq: M02_05 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 14

13 ID: M041300A Mathematics Grade 4 Code Response Item: M041300A 10 Correct 4-sided figure turned in any position Block_Seq: M02_08 70 Makes a larger triangle 71 Makes a 4-sided figure, but not using the specified tiles, e.g., a larger parallelogram. 79 Other incorrect (including crossed out, erased, stray marks, illegible, or off task) TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 15

14 ID: M041300B Mathematics Grade 4 Block_Seq: M02_08 Code Response Item: M041300B 10 Makes a correct 6-sided figure, e.g., one of those shown below (in any orientation). 79 Incorrect (including crossed out, erased, stray marks, illegible, or off task) TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 16

15 ID: M041300C Mathematics Grade 4 Code Response Item: M041300C 10 Any of four figures (6-sided) that was not used in part B. 70 Repeats a correct figure already given in part B 79 Other incorrect (including crossed out, erased, stray marks, illegible, or off task) Block_Seq: M02_08 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 17

16 ID: M041300D Mathematics Grade 4 Block_Seq: M02_08 Code Response Item: M041300D 10 Makes a correct 7-sided figure, e.g., one of those shown below (in any orientation). 79 Incorrect (including crossed out, erased, stray marks, illegible, or off task) TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 18

17 ID: M Mathematics Grade 4 Code Response Item: M All correct numbers shown: Only 20, 30, 50 correctly entered on the scale. 79 Incorrect (including crossed out, erased, stray marks, illegible, or off task) Block_Seq: M02_10 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 19

18 Code Response 10 Bar at Bar between exclusive but not at 86 Item: M (M02_11) 79 Other Incorrect (including crossed out, erased, stray marks, illegible, or off task)

19 ID: M Mathematics Grade 4 Code Response Item: M or any number other than 6 that added to 74 gives a multiple of 8 (e.g., 14, 22) , 9, or 9 with 2 remainder (remainder) or 9 79 Other incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M03_01 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 21

20 ID: M Mathematics Grade 4 Code Response Item: M Other incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M03_02 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 22

21 ID: M Mathematics Grade 4 Code Response Item: M Multiply by 3 or other fully correct 70 Multiply without specifying by what 79 Other incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M03_04 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 23

22 ID: M Mathematics Grade 4 Code Response Item: M Other incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M03_07 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 24

23 ID: M031350A Mathematics Grade 4 Code Response Item: M031350A 10 Park 2.0 cm from lake, measured from X to X (+/- 2 mm) 79 Incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M03_08 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 25

24 ID: M031350B Mathematics Grade 4 Note: Park and library need not to be in a straight line. Code Response Item: M031350B 10 Library between 2.8 cm and 4.2 cm from town hall, measured from X to X 70 Library less than 2.8 cm from town hall, measured from X to X 71 Library more than 4.2 cm from town hall, measured from X to X 79 Other incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M03_08 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 26

25 ID: M031350C Mathematics Grade 4 Note: Park, library, and school need not to be in a straight line. Block_Seq: M03_08 Code Response Item: M031350C 10 School equidistant from park and library, X to X, measures to differ no more than 4mm 70 School is not equidistant (+/- 2 mm) from park and library 79 Other incorrect (including crossed out/erased, stray marks, illegible, or off task) TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 27

26 ID: M Mathematics Grade 4 Code Response Item: M Image correctly drawn 70 One or more of image lines drawn correctly, but image not completely correct Block_Seq: M03_09 71 Attempt to sketch an image under a transformation other than reflection (e.g., translation of image) 79 Other incorrect (including crossed out/erased, stray marks, illegible, or off task) [Example responses provided on the following pages.] TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 28

27 Code Response Item: M (M03_10) 10 Boys: 1 hat, 1 no hat } or equivalent tallies Girls: 1 hat, 2 no hat } 70 Names of boys and girls correctly placed in table 79 Other Incorrect (including crossed out/erased, stray marks, illegible, or off task)

28 ID: M Mathematics Grade 4 Block_Seq: M04_02 Code Response Item: M Draws a circle around any 4 cookies or draws separate circles around 4 cookies or draws 3 circles, each circle enclosing 4 cookies 70 Draws a circle around 3 cookies 79 Other incorrect (including crossed out, erased, stray marks, illegible, or off task) TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 32

29 ID: M Mathematics Grade 4 Code Response Item: M or equivalent Other incorrect (including crossed out, erased, stray marks, illegible, or off task) Block_Seq: M04_04 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 33

30 ID: M Mathematics Grade 4 Block_Seq: M04_07 Code Response Item: M Correct rectangle drawn with the fourth vertex lying within the circle, as shown below. Note: The center of the circle is the correct position for the vertex. The radius of the circle is half the length of a square on the grid. 79 Incorrect (including crossed out, erased, stray marks, illegible, or off task) TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 34

31 Code Response Item: M041258A (M04_09A) 10 Both are triangles/ both have 3 sides/ both have same number of sides/ both have 3 angles/ both have 3 corners or equivalent statements 70 They are the same shape. 71 Both have straight sides. 79 Other incorrect (including crossed out, erased, stray marks, illegible, or off task)

32 ID: M041258B Mathematics Grade 4 Code Response Item: M041258B 10 One has a right angle, one does not. Block_Seq: M04_09 11 One has 2 sides/ angles the same size/is isoceles/has a line of symmetry (the other does not) 12 One is bigger/longer/wider/has a larger area than the other or equivalent statement about size. 70 They are different shapes/ they are not the same shape. 79 Other incorrect (including crossed out, erased, stray marks, illegible, or off task) TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 36

33 ID: M Mathematics Grade 4 Block_Seq: M04_11 Code Response Item: M Both bars correctly drawn. Bar for fast is between 4 and 6 (inclusive). Bar for medium is taller than bar for fast but less than 7.5 (exclusive). Partially 10 Only 1 bar correctly drawn 79 Incorrect (including crossed out, erased, stray marks, illegible, or off task) TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 37

34 ID: M Mathematics Grade 4 Code Response Item: M Incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M05_02 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 38

35 ID: M031242A Mathematics Grade 4 Block_Seq: M05_04 Code Response Item: M031242A 10 Table completed correctly to 6 hours: 3 hours 14 zeds 3 hours 14 zeds One or more entries for Mountain Club incorrect; Roadrace Club entries all correct 71 One or more entries for Roadrace Club incorrect; Mountain Club entries all correct 79 Other incorrect (including crossed out/erased, stray marks, illegible or off task). TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 39

36 ID: M031242B Mathematics Grade 4 Code Response Item: M031242B 10 3 (as long as does not contradict Part A including table empty or incomplete). Block_Seq: M05_04 11 Number(s) correct according to a complete but erroneous table in Part A OR indicates no match according to a complete but erroneous table in Part A. 79 Incorrect (including crossed out/erased, stray marks, illegible or off task). Part C: Multiple Choice (Answer: option B) TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 40

37 ID: M Mathematics Grade 4 Code Response Item: M or 10 zeds with work shown: Partial Response or 10 zeds with no work shown 11 Correct method but computation error or Other incorrect (including crossed out/erased, stray marks, illegible or off task). Block_Seq: M05_05 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 41

38 ID: M Mathematics Grade 4 Code Response Item: M Other incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M07_02 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 49

39 ID: M Mathematics Grade 4 Code Response Item: M P, S, and U only 79 Incorrect (including crossed out/erased, stray marks, illegible, or off task) Block_Seq: M07_10 TIMSS 2007 Scoring Guides Mathematics Grade 4 Page 50

Magic Figures. We note that in the example magic square the numbers 1 9 are used. All three rows (columns) have equal sum, called the magic number.

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