Wednesday, March 30, 2011

The Benefits of Open Textbooks

A Wikiversity Logo for Open Educational Resour...Image via WikipediaCost is not the only benefit of open textbooks.  Instructors are encouraged to modify and aggregate content to make their courses more current and relevant.  Add content to your LMS each semester and evolve your course.  Reuse, remix, and share your content.

Before considering an open textbook or any other open educational resource (OER) consider reading:

7 Things you Should Know About Open Textbook Publishing

These concepts are mirrored in Dr. Shu Schiller's video endorsement of Flat World Knowledge textbooks:


Another great resource for open content is the Merlot website. Merlot stands for multimedia educational resource for learning and online teaching.  There is much to sift through out there.  This is why I suggest using an LMS like Blackboard or Moodle, you can add or modify content each semester and evolve your course over time... 21st students will appreciate it.


Sunday, March 13, 2011

Flipping the Traditional Classroom Model

IDEA:  Assign lectures for homework and exercises for classwork.



Salman Khan has some interesting ideas.

Tuesday, March 8, 2011

How Statistics Can Come Alive

Hans Rosling presents 200 Years of statistical information in 4 minutes... this is well worth the time it takes to watch.




Further exploration of this idea using Google public data explorer.  Push the play button below. I encourage you to click the link above and explore the data yourself.



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Friday, March 4, 2011

Elementary Algebra has been published with Flatworld Knowledge

I am excited to announce that Flat World Knowledge (FWK) has just published a new textbook, Elementary Algebra. In order to combat soaring textbook prices, I have written this textbook in a concise and modular fashion as to maximize its effectiveness as an open educational resource.

What makes this textbook exciting is the FWK business model. Elementary Algebra is available under a creative commons license and has been thoroughly reviewed, designed, and integrated into flatworldknowledge.com platform.  Some of the benefits include:
  •  FREE to read online without registration, login, or expiration!
  •  Low cost offline choices (printed copies, pdf, individual chapters…).
  • Customization.
  • Flexibility for both student and instructor.
I encourage instructors to modify this textbook and leverage their individual expertise as a means to maximize the student experience and success. Or simply use it as it is, you will find that the topics are organized in a very traditional manner.




An affordable textbook can be available in the bookstore or instructors can just provide a link to students on the first day of class. Students can then choose the option that best suits their personal situation.  In addition, instructors can incorporate the textbook into their CMS by linking to individual pages.  Also, feel free to embed the associated YouTube videos.


This textbook employs an early and often approach to real world applications, laying the foundation for students to translate problems described in words into mathematical equations. It clearly lays out the steps required to build the skills needed to solve these equations and interpret the results.  With robust and diverse exercise sets, students have the opportunity to solve plenty of practice problems.  In addition to embedded video examples, textual notation is introduced as a means to communicate solutions electronically throughout the text.  This is important if instructors wish to incorporate resources like Wolfram Alpha into their course.  In any case, I am excited to be a part of the solution to the current rising costs associated with one of our essential developmental math courses.  We now have more affordable choices!
  • New editions                            →        your choice ü
  • 40% bookstore markup            →        your choice ü
  • CMS integration                       →        your choice ü
  • Customization                           →        your choice ü

Head over to FWK and have a look; browse the catalog.



Compare this textbook to other open source algebra projects and you will find that FWK did a pretty good job. Mathematics was a particular challenge for the system.  The website makes use of MathJax and images to present the material.  Click an image for a larger view.  Right click a math element and explore the options MathJax provides.  For example, you can change the zoom trigger in settings to make the equations zoom in on a double click.

Even if you are unable to adopt this textbook, please feel free to distribute a link to it to your students and colleagues.  I truly believe that it will be a valuable resource for students.  Also, email me with any suggestions or ideas that you may have and look for Intermediate Algebra to be published soon.

johnr@cos.edu
jt.redden@gmail.com
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Monday, January 17, 2011

MIT Open Courses

Here is a list of the open course content from MIT.  The single and multivariable calculus courses look very well done.  The courses are nicely formatted... video and lecture notes organized well.

Below is a list of the math content:


Updated within the past 180 days
Course #Course TitleTerm
18.01Single Variable CalculusFall 2006
18.01Single Variable CalculusFall 2005
18.013ACalculus with ApplicationsSpring 2005
18.014Calculus with Theory IFall 2002
NEW
18.01SCSingle Variable CalculusFall 2010
18.02Multivariable CalculusFall 2007
18.02Multivariable CalculusSpring 2006
18.022CalculusFall 2005
18.024Calculus with Theory IISpring 2003
NEW
18.02SCMultivariable CalculusFall 2010
18.03Differential EquationsSpring 2006
18.034Honors Differential EquationsSpring 2009
18.034Honors Differential EquationsSpring 2004
18.04Complex Variables with ApplicationsFall 2003
18.04Complex Variables with ApplicationsFall 1999
18.05Introduction to Probability and StatisticsSpring 2005
NEW
18.06Linear AlgebraSpring 2010
NEW
18.062JMathematics for Computer ScienceSpring 2010
18.062JMathematics for Computer ScienceSpring 2005
18.062JMathematics for Computer ScienceFall 2005
18.06CILinear Algebra - Communications IntensiveSpring 2004
18.075Advanced Calculus for EngineersFall 2004
18.085Computational Science and Engineering IFall 2008
18.086Mathematical Methods for Engineers IISpring 2006
18.091Mathematical ExpositionSpring 2005
18.094JTeaching College-Level Science and EngineeringSpring 2009
18.094JTeaching College-Level ScienceSpring 2006
18.098Street-Fighting MathematicsJanuary IAP 2008
18.100AAnalysis IFall 2007
18.100BAnalysis IFall 2006
18.100CAnalysis ISpring 2006
18.101Analysis IIFall 2005
18.102Introduction to Functional AnalysisSpring 2009
18.103Fourier Analysis - Theory and ApplicationsSpring 2004
18.104Seminar in Analysis: Applications to Number TheoryFall 2006
18.112Functions of a Complex VariableFall 2008
18.117Topics in Several Complex VariablesSpring 2005
18.125Measure and IntegrationFall 2003
18.152Introduction to Partial Differential EquationsFall 2005
18.152Introduction to Partial Differential EquationsFall 2004
18.155Differential AnalysisFall 2004
18.156Differential AnalysisSpring 2004
18.175Theory of ProbabilityFall 2008
18.238Geometry and Quantum Field TheoryFall 2002
18.303Linear Partial Differential EquationsFall 2006
18.304Undergraduate Seminar in Discrete MathematicsSpring 2006
18.305Advanced Analytic Methods in Science and EngineeringFall 2004
18.306Advanced Partial Differential Equations with ApplicationsFall 2009
18.307Integral EquationsSpring 2006
18.310CPrinciples of Applied MathematicsFall 2007
18.311Principles of Applied MathematicsSpring 2009
18.312Algebraic CombinatoricsSpring 2009
18.314Combinatorial AnalysisFall 2005
18.315Combinatorial Theory: Introduction to Graph Theory, Extremal and Enumerative CombinatoricsSpring 2005
18.315Combinatorial Theory: Hyperplane ArrangementsFall 2004
18.318Topics in Algebraic CombinatoricsSpring 2006
18.319Geometric CombinatoricsFall 2005
18.327Wavelets, Filter Banks and ApplicationsSpring 2003
18.330Introduction to Numerical AnalysisSpring 2004
18.335JIntroduction to Numerical MethodsFall 2006
18.335JIntroduction to Numerical MethodsFall 2004
18.336Numerical Methods for Partial Differential EquationsSpring 2009
18.337JApplied Parallel Computing (SMA 5505)Spring 2005
18.338JInfinite Random Matrix TheoryFall 2004
18.353JNonlinear Dynamics I: ChaosFall 2006
18.361JIntroduction to Modeling and SimulationSpring 2008
18.366Random Walks and DiffusionFall 2006
18.369Mathematical Methods in NanophotonicsSpring 2008
18.376JWave PropagationFall 2006
18.377JNonlinear Dynamics and WavesSpring 2007
18.385JNonlinear Dynamics and ChaosFall 2004
18.400JAutomata, Computability, and ComplexitySpring 2005
18.404JTheory of ComputationFall 2006
18.405JAdvanced Complexity TheoryFall 2001
18.409Topics in Theoretical Computer Science: An Algorithmist's ToolkitFall 2009
18.409Behavior of AlgorithmsSpring 2002
18.410JIntroduction to Algorithms (SMA 5503)Fall 2005
18.413Error-Correcting Codes LaboratorySpring 2004
18.415JAdvanced AlgorithmsFall 2008
18.415JAdvanced AlgorithmsFall 2005
18.416JRandomized AlgorithmsFall 2002
18.417Introduction to Computational Molecular BiologyFall 2004
18.426JAdvanced Topics in CryptographySpring 2003
18.433Combinatorial OptimizationFall 2003
18.435JQuantum ComputationFall 2003
18.437JDistributed AlgorithmsFall 2009
18.440Probability and Random VariablesSpring 2009
18.443Statistics for ApplicationsSpring 2009
18.443Statistics for ApplicationsFall 2006
18.443Statistics for ApplicationsFall 2003
18.465Topics in Statistics: Statistical Learning TheorySpring 2007
18.465Topics in Statistics: Nonparametrics and RobustnessSpring 2005
18.466Mathematical StatisticsSpring 2003
18.700Linear AlgebraFall 2005
18.701Algebra IFall 2007
18.702Algebra IISpring 2008
18.704Seminar in Algebra and Number Theory: Computational Commutative Algebra and Algebraic GeometryFall 2008
18.704Seminar in Algebra and Number Theory: Rational Points on Elliptic CurvesFall 2004
18.705Commutative AlgebraFall 2008
NEW
18.712Introduction to Representation TheoryFall 2010
18.725Algebraic GeometryFall 2003
18.726Algebraic GeometrySpring 2009
18.727Topics in Algebraic Geometry: Algebraic SurfacesSpring 2008
18.727Topics in Algebraic Geometry: Intersection Theory on Moduli SpacesSpring 2006
18.735Double Affine Hecke Algebras in Representation Theory, Combinatorics, Geometry, and Mathematical PhysicsFall 2009
18.755Introduction to Lie GroupsFall 2004
18.769Topics in Lie Theory: Tensor CategoriesSpring 2009
18.781Theory of NumbersSpring 2003
18.785Analytic Number TheorySpring 2007
NEW
18.786Topics in Algebraic Number TheorySpring 2010
18.786Topics in Algebraic Number TheorySpring 2006
18.901Introduction to TopologyFall 2004
18.904Seminar in TopologyFall 2005
18.905Algebraic TopologyFall 2006
18.906Algebraic Topology IISpring 2006
18.917Topics in Algebraic Topology: The Sullivan ConjectureFall 2007
18.950Differential GeometryFall 2008
18.965Geometry of ManifoldsFall 2004
18.966Geometry of ManifoldsSpring 2007
18.969Topics in Geometry: Mirror SymmetrySpring 2009
18.969Topics in Geometry: Dirac GeometryFall 2006
18.994Seminar in GeometryFall 2004
18.996Random Matrix Theory and Its ApplicationsSpring 2004
18.996Topics in Theoretical Computer Science : Internet Research ProblemsSpring 2002
18.996ASimplicity TheorySpring 2004
18.997Topics in Combinatorial OptimizationSpring 2004
18.S34Problem Solving SeminarFall 2007
18.S66The Art of CountingSpring 2003
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