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` output files are vector graphs which can be zoomed to see more detail.

Consolidation!

• :ods: seriesData.ods: Spreadsheet with Reconciled data from All series, CME, CPMP, Glencoe, IMP, UCSMP each in a separate sheet.
• 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` 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.
• 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.

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.

Timeline Graphs

University of Chicago School Mathematics Project [UCSMP]

-- DickFurnas - 2009-09-18

Attachments

Topic attachments
I Attachment History Action Size Date Who Comment
pdf CME_Timeline_Graph.pdf r2 r1 manage 1624.8 K 2012-06-11 - 15:30 DickFurnas Cleaned up CME data
png CME_Timeline_Graph.png r3 r2 r1 manage 87.0 K 2012-06-11 - 15:31 DickFurnas Cleaned up CME data
pdf CogBeh_PieChart.pdf r8 r7 r6 r5 r4 manage 3.9 K 2012-06-11 - 15:26 DickFurnas Cleaned up CME data
png CogBeh_PieChart.png r8 r7 r6 r5 r4 manage 38.4 K 2012-06-11 - 15:25 DickFurnas Cleaned up CME data
pdf Content_PieChart.pdf r9 r8 r7 r6 r5 manage 9.2 K 2012-06-11 - 15:28 DickFurnas Cleaned up CME data
pdf Other_BarChart.pdf r7 r6 r5 r4 r3 manage 63.5 K 2012-06-11 - 15:29 DickFurnas Cleaned up CME data
png Other_BarChart.png r7 r6 r5 r4 r3 manage 28.6 K 2012-06-11 - 15:29 DickFurnas Cleaned up CME data
pdf Content_Legend_PieChart.pdf r13 r12 r11 r10 r9 manage 4.5 K 2012-06-13 - 20:27 DickFurnas Current version
png Content_Legend_PieChart.png r12 r11 r10 r9 r8 manage 79.3 K 2012-06-13 - 20:27 DickFurnas Current version
png TernaryPlotPies.png r3 r2 r1 manage 75.9 K 2014-02-12 - 16:56 DickFurnas
ods 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
zip 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
png Content_PieChart.png r10 r9 r8 r7 r6 manage 68.7 K 2012-06-13 - 20:26 DickFurnas Rejiggered Colors
pdf CPMP_Timeline_Graph.pdf r5 r4 r3 r2 r1 manage 1037.3 K 2012-06-11 - 15:32 DickFurnas Tweaked
png CPMP_Timeline_Graph.png r5 r4 r3 r2 r1 manage 93.2 K 2012-06-11 - 15:32 DickFurnas Tweaked
pdf Glencoe_Timeline_Graph.pdf r3 r2 r1 manage 1862.0 K 2012-06-11 - 15:34 DickFurnas Tweaked
png Glencoe_Timeline_Graph.png r3 r2 r1 manage 93.1 K 2012-06-11 - 15:34 DickFurnas Tweaked
pdf IMP_Timeline_Graph.pdf r5 r4 r3 r2 r1 manage 294.0 K 2012-06-11 - 15:35 DickFurnas Tweaked
png IMP_Timeline_Graph.png r6 r5 r4 r3 r2 manage 62.7 K 2012-06-11 - 15:35 DickFurnas Tweaked
pdf UCSMP_Timeline_Graph.pdf r5 r4 r3 r2 r1 manage 1594.8 K 2012-06-11 - 15:36 DickFurnas Tweaked
png UCSMP_Timeline_Graph.png r6 r5 r4 r3 r2 manage 105.4 K 2012-06-11 - 15:37 DickFurnas Tweaked

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Topic revision: r30 - 2014-02-12 - DickFurnas

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