Stephen Bannasch <stephen@deanbrook.org>

Oct 6, 2005

pdf copy (148k)

Data like these can be used to find out what areas of math students at Shutesbury are having trouble with. Each column on the graph represents one topic area in 4th grade math such as Geometry and Measurement. Each data marker represents one question and the average score Shutesbury students scored on that question. The data plotted have been normalized to the statewide Massachusetts average. This means that the statewide average is equivalent to 1.0. The horizontal lines indicate the mean value for the Shutesbury score in that topic.

For example look at the data point at the bottom of the column in Patterns, Relations, and Algebra (PR). That is question 11, it is a Short Answer question and has a value of 0.32. That means Shutesbury students scored only 1/3 of the state average for that question. Across the state 62% of the students answered that question correctly. At Shutesbury only 20% of the students answered it correctly. The scaled value of 0.32 is produced by dividing the Shutesbury average into the State average.

The following is a list of 9 questions from the 2004 4th grade Math MCAS where Shutesbury students scored less than 0.9 when scaled against the Massachusetts average for that question. The questions are sorted from most incorrect to less incorrect.

Question #: 11

Question Type: Short Answer

Topic: Patterns, Relations, and Algebra

Shutesbury (correct): 20%

Massachusetts (correct): 62%

Scaled Value: 0.32

Only 20% of the students answered this question correctly however the other 80% actually skipped this question entirely.

Question #: 30

Question Type: Short Answer

Topic: Data Analysis, Statistics, and Probability

Shutesbury (correct): 36%

Massachusetts (correct): 61%

Scaled Value: 0.59

Only 36% of the students answered this question correctly however the other 64% actually skipped this question entirely.

Question #: 21

Question Type: Multiple Choice

Topic: Number Sense and Operations

Shutesbury (correct): 32%

Massachusetts (correct): 50%

Scaled Value: 0.64

64% of the students picked B.

Question #: 7

Question Type: Multiple Choice

Topic: Number Sense and Operations

Shutesbury (correct): 36%

Massachusetts (correct): 54%

Scaled Value: 0.67

The incorrect responses were almost evenly divided between A, C, and D.

Question #: 19

Question Type: Multiple Choice

Topic: Patterns, Relations, and Algebra

Shutesbury (correct): 52%

Massachusetts (correct): 74%

Scaled Value: 0.70

Most of the incorrect answers were B and C.

Question #: 17

Question Type: Open Response (4 point scale)

Topic: Geometry

Shutesbury (correct): 1.80

Massachusetts (correct): 2.28

Scaled Value: 0.79

16% of the students skipped this question.

Question #: 3

Question Type: Multiple Choice

Topic: Patterns, Relations, and Algebra

Shutesbury (correct): 64%

Massachusetts (correct): 79%

Scaled Value: 0.81

20 % of the students selected B.

Question #: 12

Question Type: Short Answer

Topic: Geometry

Shutesbury (correct): 52%

Massachusetts (correct): 63%

Scaled Value: 0.83

All 48% of the students who got this question incorrect skipped it. Every student who answered the question got it right.

Question #: 2

Question Type: Multiple Choice

Topic: Number Sense and Operations

Shutesbury (correct): 64%

Massachusetts (correct): 77%

Scaled Value: 0.83

20 % of the students selected C.

The data used for creating this report can be found at:

http://profiles.doe.mass.edu/mcas/mcasitems.asp?mcasyear=2004&district=272&school=&grade=04&subjectcode=MTH