NSF Grant etc.
Data are now consolidated with each series in a separate sheet within a single
All

 
seriesData.ods
containing the consolidated data from each series in a separate sheet
seriesTextbooks.nb
the primary Mathematica Notebook used for processing the data looks in the unzipped folder for needed files
png
and pdf
complete set of output files and additional :nb: nb
files for special subtopics. Evaluate seriesTextbooks.nb
prior to using the additional nb
files.
zip
file above.
Five textbook series, CME, CPMP, Glencoe, IMP, and UCSMP have been examined, scoring each and every question for the mathematical concepts involved as well as the "Cognitive Behavior" required to address the question in the context in which it appears in the textbook. A total of 52,767 questions have been scored, each by two people who met and discussed any discrepancies in their assessments.
The graph below addresses how to summarize the three types of Cognitive Behavior: Knowing, Applying, and Reasoning. The three corners of the plot represent each of the Cognitive Behaviors: Knowing, Applying, and Reasoning. Each side of the triangle represents 0% for the opposite corner and the corner itself is 100% for that feature. To help characterize the triangle in terms of the more familiar pie charts, the background of small pie charts shows the underlying "Landscape" of how the triangle portrays the proportions. It also allows you to read off approximate values for a position in the chart since there is a row for each 10% change in proportion. There is also a pie in the center of the triangle, representing equal proportions for all three.
Here is a narrative highlighting some observations which this presentation makes particularly accessible:
Each textbook series is represented in the plot by a pie chart with its position consolidating across all texts as well as one for each of the up to three volumes in the series, represented by .1, .2, .3 in the label. From the plot, showing 17 pie charts, their location on the plot shows, for example, that CPMP consistently involves more reasoning and that the "orbit" of the series starts with a comparative emphasis on reasoning, shifting towards knowing in year 2 and then moving to applying in year 3. Glencoe and UCSMP have very little reasoning and move from knowing to applying from book 1 to book 2. CME, in contrast, moves away from applying and knowing towards more reasoning in going from year 1 to year two. All textbooks in all series devote more than half of their questions to Applying.
I  Attachment  History  Action  Size  Date  Who  Comment 

CME_Timeline_Graph.pdf  r2 r1  manage  1624.8 K  20120611  15:30  DickFurnas  Cleaned up CME data  
png  CME_Timeline_Graph.png  r3 r2 r1  manage  87.0 K  20120611  15:31  DickFurnas  Cleaned up CME data 
CPMP_Timeline_Graph.pdf  r5 r4 r3 r2 r1  manage  1037.3 K  20120611  15:32  DickFurnas  Tweaked  
png  CPMP_Timeline_Graph.png  r5 r4 r3 r2 r1  manage  93.2 K  20120611  15:32  DickFurnas  Tweaked 
CogBeh_PieChart.pdf  r8 r7 r6 r5 r4  manage  3.9 K  20120611  15:26  DickFurnas  Cleaned up CME data  
png  CogBeh_PieChart.png  r8 r7 r6 r5 r4  manage  38.4 K  20120611  15:25  DickFurnas  Cleaned up CME data 
Content_Legend_PieChart.pdf  r13 r12 r11 r10 r9  manage  4.5 K  20120613  20:27  DickFurnas  Current version  
png  Content_Legend_PieChart.png  r12 r11 r10 r9 r8  manage  79.3 K  20120613  20:27  DickFurnas  Current version 
Content_PieChart.pdf  r9 r8 r7 r6 r5  manage  9.2 K  20120611  15:28  DickFurnas  Cleaned up CME data  
png  Content_PieChart.png  r10 r9 r8 r7 r6  manage  68.7 K  20120613  20:26  DickFurnas  Rejiggered Colors 
Glencoe_Timeline_Graph.pdf  r3 r2 r1  manage  1862.0 K  20120611  15:34  DickFurnas  Tweaked  
png  Glencoe_Timeline_Graph.png  r3 r2 r1  manage  93.1 K  20120611  15:34  DickFurnas  Tweaked 
IMP_Timeline_Graph.pdf  r5 r4 r3 r2 r1  manage  294.0 K  20120611  15:35  DickFurnas  Tweaked  
png  IMP_Timeline_Graph.png  r6 r5 r4 r3 r2  manage  62.7 K  20120611  15:35  DickFurnas  Tweaked 
Other_BarChart.pdf  r7 r6 r5 r4 r3  manage  63.5 K  20120611  15:29  DickFurnas  Cleaned up CME data  
png  Other_BarChart.png  r7 r6 r5 r4 r3  manage  28.6 K  20120611  15:29  DickFurnas  Cleaned up CME data 
png  TernaryPlotPies.png  r3 r2 r1  manage  75.9 K  20140212  16:56  DickFurnas  
UCSMP_Timeline_Graph.pdf  r5 r4 r3 r2 r1  manage  1594.8 K  20120611  15:36  DickFurnas  Tweaked  
png  UCSMP_Timeline_Graph.png  r6 r5 r4 r3 r2  manage  105.4 K  20120611  15:37  DickFurnas  Tweaked 
ods  seriesData.ods  r10 r9 r8 r7 r6  manage  1812.3 K  20140401  01:39  DickFurnas  Stray backslash in CPMP fixed 
zip  seriesTextbooks.zip  r10 r9 r8 r7 r6  manage  16347.0 K  20140209  19:56  DickFurnas  Now includes updated master ods file and additional notebooks and output for Ternary Plot Pies 