Textbook Coding

NSF Grant etc.

Data are now consolidated with each series in a separate sheet within a single ods file, seriesData.ods . The ods file can be imported directly into Mathematica and manipulated from there. The Mathematica notebook, seriesData.nb sets up the environment, performs sanity checks and produces an assortment of output charts and graphs.

All PDF pdf output files are vector graphs which can be zoomed to see more detail.

Table of Contents

Consolidation!

  • :ods: seriesData.ods: Spreadsheet with Reconciled data from All series, CME, CPMP, Glencoe, IMP, UCSMP each in a separate sheet.
  • Compressed Zip archive seriesTextbooks.zip: zip file containing:
    • :ods: seriesData.ods containing the consolidated data from each series in a separate sheet
    • :nb: seriesTextbooks.nb the primary Mathematica Notebook used for processing the data looks in the unzipped folder for needed files
    • PNG png and PDF pdf complete set of output files and additional :nb: nb files for special subtopics. Evaluate seriesTextbooks.nb prior to using the additional nb files.
  • Files below are representative, but may not be as up-to-date as in the zip file above.

Cognitive Behavior

Background:

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.

CogBeh_PieChart.png

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.

TernaryPlotPies.png

Content

Content_PieChart.png Content_Legend_PieChart.png

Other Aspects

Other_BarChart.png

Timeline Graphs

CME Algebra 1&2 [CME]

CME_Timeline_Graph.png

Core Plus Mathematics Program [CPMP]

CPMP_Timeline_Graph.png

Glencoe Algebra 1 & 2 [Glencoe]

GA12_Timeline_Graph.png

Interactive Mathematics Program [IMP]

IMP_Timeline_Graph.png

University of Chicago School Mathematics Project [UCSMP]

UCSMP_Timeline_Graph.png


-- DickFurnas - 2009-09-18

Attachments

Topic attachments
ISorted ascending Attachment History Action Size Date Who Comment
Unknown file formatods seriesData.ods r9 r8 r7 r6 r5 manage 1812.8 K 2014-02-09 - 19:53 DickFurnas Now includes further tweaks to CPMP per MH
PDFpdf CME_Timeline_Graph.pdf r2 r1 manage 1624.8 K 2012-06-11 - 15:30 DickFurnas Cleaned up CME data
PDFpdf CPMP_Timeline_Graph.pdf r5 r4 r3 r2 r1 manage 1037.3 K 2012-06-11 - 15:32 DickFurnas Tweaked
PDFpdf CogBeh_PieChart.pdf r8 r7 r6 r5 r4 manage 3.9 K 2012-06-11 - 15:26 DickFurnas Cleaned up CME data
PDFpdf Content_Legend_PieChart.pdf r13 r12 r11 r10 r9 manage 4.5 K 2012-06-13 - 20:27 DickFurnas Current version
PDFpdf Content_PieChart.pdf r9 r8 r7 r6 r5 manage 9.2 K 2012-06-11 - 15:28 DickFurnas Cleaned up CME data
PDFpdf Glencoe_Timeline_Graph.pdf r3 r2 r1 manage 1862.0 K 2012-06-11 - 15:34 DickFurnas Tweaked
PDFpdf IMP_Timeline_Graph.pdf r5 r4 r3 r2 r1 manage 294.0 K 2012-06-11 - 15:35 DickFurnas Tweaked
PDFpdf Other_BarChart.pdf r7 r6 r5 r4 r3 manage 63.5 K 2012-06-11 - 15:29 DickFurnas Cleaned up CME data
PDFpdf UCSMP_Timeline_Graph.pdf r5 r4 r3 r2 r1 manage 1594.8 K 2012-06-11 - 15:36 DickFurnas Tweaked
PNGpng CME_Timeline_Graph.png r3 r2 r1 manage 87.0 K 2012-06-11 - 15:31 DickFurnas Cleaned up CME data
PNGpng CPMP_Timeline_Graph.png r5 r4 r3 r2 r1 manage 93.2 K 2012-06-11 - 15:32 DickFurnas Tweaked
PNGpng CogBeh_PieChart.png r8 r7 r6 r5 r4 manage 38.4 K 2012-06-11 - 15:25 DickFurnas Cleaned up CME data
PNGpng Content_Legend_PieChart.png r12 r11 r10 r9 r8 manage 79.3 K 2012-06-13 - 20:27 DickFurnas Current version
PNGpng Content_PieChart.png r10 r9 r8 r7 r6 manage 68.7 K 2012-06-13 - 20:26 DickFurnas Rejiggered Colors
PNGpng Glencoe_Timeline_Graph.png r3 r2 r1 manage 93.1 K 2012-06-11 - 15:34 DickFurnas Tweaked
PNGpng IMP_Timeline_Graph.png r6 r5 r4 r3 r2 manage 62.7 K 2012-06-11 - 15:35 DickFurnas Tweaked
PNGpng Other_BarChart.png r7 r6 r5 r4 r3 manage 28.6 K 2012-06-11 - 15:29 DickFurnas Cleaned up CME data
PNGpng TernaryPlotPies.png r3 r2 r1 manage 75.9 K 2014-02-12 - 16:56 DickFurnas  
PNGpng UCSMP_Timeline_Graph.png r6 r5 r4 r3 r2 manage 105.4 K 2012-06-11 - 15:37 DickFurnas Tweaked
Compressed Zip archivezip seriesTextbooks.zip r10 r9 r8 r7 r6 manage 16347.0 K 2014-02-09 - 19:56 DickFurnas Now includes updated master ods file and additional notebooks and output for Ternary Plot Pies
Edit | Attach | Watch | Print version | History: r64 | r32 < r31 < r30 < r29 | Backlinks | Raw View | Raw edit | More topic actions...
Topic revision: r30 - 2014-02-12 - DickFurnas
 
  • Edit
  • Attach
This site is powered by the TWiki collaboration platform Powered by Perl This site is powered by the TWiki collaboration platformCopyright © by the contributing authors. All material on this collaboration platform is the property of the contributing authors.