Dr. Geo -Be a Geometer!

dr.geo,energize education,geometry software,energize education through open sourceIt’s been almost three years since a wrote a little blurb on an exciting application that allows learners to explore geometry.  That application was Dr. Geo and its developers recently, and with much-deserved pride, announced the release of its latest version.  With that in mind, I thought that maybe it was time to take an in-depth look at Dr. Geo.

dr.geo,energize education,energize education through open source

Object formatting is easy with the Property option under the Edit menu.

Dr. Geo is an open source application that provides an engaging environment through which school-age learners may explore, and learn about, geometry.  So, what can users do with Dr. Geo? Users have the opportunity to work with the building blocks of geometry, including points, line segments and rays.  Users can create arcs, circles and polygons.  Vectors can be used to accurately assign points.  Virtually anything geometric in nature can be created.

dr. geo,energize education,christopher whittum

The author’s burgeoning creation.

What’s even more amazing is that Dr. Geo allows users to bring their creations to life through computer programming.  The programming language used in Dr. Geo is the same one used to create Dr. Geo –Smalltalk.  Some of my regular readers may remember a blog that I wrote a while back on Pharo, a computer programming environment.  Pharo also uses Smalltalk.  Smalltalk is an open source object-oriented programming language.  This simply means that it focuses on objects and data rather than commands and logic.  Portland State University computer science professor Harry H. Porter III (March 24, 2003) describes Smalltalk as “highly efficient, extremely portable, easy to use, and very reliable. But more importantly, Smalltalk is still the most enjoyable language in which to program.”  What better tool to employ to introduce learners to computer programming?

dr.geo, energizxe education

Not ready to program yet? Use a wizard to create a Macro.

As can be seen in the screenshots, Dr. Geo’s interface is very straightforward.  All actions can be performed readily via a menu, a toolbar or tabs, all located at the top of the Dr. Geo window.  This traditional interface certainly minimizes the learning curve.  Even without having used the software, users can jump right in and begin creating.  Functionality is also enhanced by tooltips, which provide a quick way to identify tools.

So, what are you waiting for?  Your students’ potential as geometricians and computer programmers is waiting to be unleashed.

Dr. Geo is available for Linux, Microsoft Windows and Apple MacOS.


Dr. Geo Home Page

Dr. Geo User Guide and Video Tutorial.

Smalltalk Users Manual


Fernandes. H.  (2016).  GNU Dr. Geo [computer software].  GNU and MIT General Public Licenses.

Porter III, H.P. (2003). Smalltalk: a white paper overview.  Portland OR: Portland State University.  Retrieved from http://web.cecs.pdx.edu/~harry/musings/SmalltalkOverview.html#Basic%20OOP%20Concepts%20and%20Terminology.


ExpEYES… Your Lab@Home

expeyes,energize education ExpEYES is a low-cost open source framework of computer hardware and software that provides a means to perform low-cost science experiments using computers.  ExpEYES offers formats designed for students from high school on.  Let’s take a look at what can be done with ExpEYES.

expeyes,energize educationAccording to its Web site, ExpEYES is a tool for learning science through exploration and experimentation, It includes integrated an oscilloscope and a signal generator and is powered via USB.  ExpEYES offers 12-bit analog resolution, accurate measurements and is physically compact, for easy relocation.  The software for ExpEYES is written in Python, an open source programming language.  The online manual presents 50 (yes, fifty!) experiments that users can duplicate and, perhaps tha coolest feature of all, others can be easily created and added to the list.

expeyes,energize education

Make your own AC generator with ExpEYES.


So, from where does this marvel of scientific exploration come?  ExpEYES was developed by the PHOENIX project of Inter-University Accelerator Centre (IUAC) of New Delhi.  The long-term goal of this project is to make the equipment and methods used in research available to the student community.  In science, experiments are performed, data is collected and analyzed.  Conclusions drawn.  The difference offered by ExpEYEs is the fact that the equipment is affordable.


Measuring water conductivity

So, what kind of experiments can a burgeoning scientist perform with ExpEYES?  According to the ExpEYES User’s Manual, users can conduct experiments involving electricity, magnetism, electronics, sound, mechanics, optics, heat and computer programming.  In terms of electricity, young scientists can perform experiments involving, among many other topics, voltage measurement, water conductivity and AC circuit study.  Regarding electricity and magnetism, possible experiments include creating a simple AC generator and making an electromagnet.  Some of the other experiments include amplitude and frequency modulation (electronics), sound velocity, using a stroboscope and hardware communication.

expeyes,energize education,open source experiments

What experiments could your students conduct with ExpEYES?


As potentially enriching as ExpEYES sounds, it is just one of several open source technology products created as part of the PHOENIX Project.  If you’re interested in learning more about this and other opportunities to cultivate the scientists and engineers in your school, you should check out the ExpEYES Web site.  Your students will thank you through their creations, if not through their words.

Thanks to Ajith Kumar for his support, the contributions that he provided and for suggested modifications.

ExpEYES is available for Linux and Microsoft Windows.  It is available in Canada and the UK.


ExpEYES Web site

The PHOENIX Project


ExpEYES junior user’s manual: experiments for young engineers and scientists.  n.d.). New Delhi: Inter-University Accelerator Centre. GNU General Public License.  Retrieved from http://www.iuac.res.in/~elab/expeyes/Documents/eyesj-a4.pdf.

Stellarium -open source planetarium

I came across this little gem while perusing the Ubuntu Software Center and decided to give it a shot.  Stellarium is an open source, free planetarium that runs right on your computer.  To be honest, I was really taken aback by Stellarium’s stunning appearance and visual quality.  For one thing, it doesn’t run in a window.  It launches into full-screen mode, which beautifully presents the eye-catching graphics.  I can discuss this further at another point.

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Stellarium’s default appearance

As previously mentioned, Stellarium opens in full screen mode by default.  The user finds him or herself looking up at the night sky in the northern hemisphere.  Only the major heavenly bodies and cardinal compass points  are labeled.  The interface is very straightforward.  At the bottom of the screen, a panel provides information such as location (Paris, France by default), elevation, Field of View (FOV), Frames Per Second (FPS), date and time.  Clicking on a heavenly body brings up information about that body, such as its name, position and distance from Earth.  Configuration is handled through two docks/panels called toolbars in the lower left corner.  The bottom toolbar, or main toolbar, allows the user to turn visual effects on and off.  The side toolbar opens dialog boxes used to configure Stellarium.

stellarium,energize education,christopher whittum,whitshade

Stellarium displaying Constellation Art.

So, what does Stellarium have to offer in terms of features?  According to the Stellarium Web site, Stellarium includes a default catalog of over 600,000 stars (though additional catalogs containing up to 210 million are available)  There are optional connecting lines and/or illustrations (referred to as Constellation Art) that can be toggled to better visualize constellations.  Stellarium offers constellations for over 20 cultures and the stories behind those constellations.  Views of every planet, and their satellites, are provided.  Other features include powerful zoom, multilingual support, time controls, excellent graphics and integrated help.

stellarium,energize education,opne source planetarium,open source educational software

Stellarium’s toolbars

Arguably, one of Stellarium’s greatest strengths is the level of customization that it offers.  First of all, as I mentioned, Paris, France is the default location.  Paris is, however, one of hundreds of locations around the world from which users may choose for their session.  Additionally, if you’re bored with Earth, you can view the stars from such heavenly bodies as Mars, Saturn or the Moon.  One feature that the author thought was pretty cool was being able to toggle the visibility of the ground.  Remove the ground and you can view the whole night sky, northern and southern hemispheres, just as if you were in outer space.  Other features that can be controlled include equatorial and azumuthal lines, the flow and direction of time and visibility of nebulae.  Combine these with the many other features available and you have an incredible platform upon which your students can explore the universe.

Stellarium is available for Linux, Apple MacOS and Microsoft Windows.


Stellarium Home Page

Stellarium User’s Guide


Category: User’s guide.  (2014).  Retrieved from the Stellarium Wiki: http://www.stellarium.org/wiki/index.php/Category:User’s_Guide


WriteType -a word processor to help students write

While looking for an open source technology to review, I came across WriteType, .an open source word processor geared towards school-age children.  I work in special education in a middle school and all too often I hear students lament about having to type out assignments.  WriteType through the combination of an accessible interface and valuable features, strives to be a word processor that students can readily use.

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The WriteType window

Let’s start by checking out the WriteType window, shown in the screenshot at left.  As can be seen, the interface is WYSIWYG, offering a menu bar and the top of the window and simple toolbars below this.  WriteType offers only the most common word processing features, such as text and paragraph formatting.  Features can be quickly and easily utilized via either the menu or the toolbars.  Simply put, everything a user needs is here.  There are no tabs or complex menus offering features that can confuse new users and into which one could get lost .  This functionality is further enhanced by context menus accessed by right-clicking on the text or area in question.

writetype,energize education,christopher whittum

Note the Word Completion list on the right

So, what makes WriteType ideal for students?  The integration of certain tools takes much of the pain out of writing.  One of these tools is word completion.  As the screenshot on the right shows, as they type, users are presented with a list of suggested words in the gray field on the right-hand side of the screen.  Simply click on the the desired word in the list, or press an indicated function key, and the complete word is inserted into the document.  Another useful feature is the fact that WriteType can read back what users have typed, which will help them to catch mistakes prior to proofreading or printing.

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WriteType’s Se tings window

If these features aren’t reason enough to give WriteType some serious consideration, other features include auto-correction and grammar checking.  Users can also add words to the integrated spelling list.  Text highlighting allows users to mark areas of text in need of attention.  Distraction-free mode allows users to work without the added distraction of a menu and toolbars.  Other customizations include adjusting read-back speed as well as changing the font size of the suggested word list.  WriteType also offers multilingual support.  WriteType can be readily customized further via the Settings option under the File menu.  Documents can be saved in either the native WriteType format (.wtd), as formatted text (.html) or as plain text (.txt)

WriteType is available for Linux, Microsoft Windows and Apple MacOS.  WriteType teacher workshops are available for free to schools in the Minneapolis area.


WriteType Home Page


Documentation: a word processor to help students write.  (n.d.).  GNU General Public License.

Shinn, M.  (2010).  WriteType [computer software].  GNU General Public License.

Ozark -a Readable Open Source Programming Language

ozark programming language, energize education

The Ozark logo

Undoubtedly, one of the best ways to draw students into STEM fields is computer programming. But which programming language do you use? Some say Python, others suggest JavaScript. I propose that the ideal programming language for new learners is one that is approachable and that narrows the margin for error. I understand that every programmer needs to learn to debug code, but this can be intimidating to new learners. Let’s take a look at a programming language that meets both of my aforementioned criteria, Ozark.

Ozark is an object-oriented programming language designed for building software that is readable and reusable. So, what is “object-oriented Programming”? According to TechTarget (2015), object-oriented programming OOP) utilizes a programming language that focuses on objects rather than actions and data rather than logic. In brief, the programmer identifies the objects he or she wants to manipulate and the relationship(s) of these objects, often referred to as data modeling. Each object is categorized and the category determines the type of data assigned to the object. If this sounds confusing, think of a toolbox. Each tool has a specific purpose. Object-oriented programming allows the programmer to define the tools and their purposes.

ozark programming language,energize education

Ozark at work.

The philosophy behind Ozark is that of strict code formatting. What this means to users is that there is only one way to do each function. This minimizes error potential. For example, look at a word processor. How many ways are there to perform a task, such as text alignment formatting? At least two methods immediately come to mind. Imagine if there was only one way to do this. You would save much time, as you wouldn’t have to correct mistakes made by invoking the wrong method. Many programming languages work in a similar fashion as there may be more than one way to do something. Choose the wrong one and your program doesn’t work correctly. This scenario is eliminated in Ozark. Strict formatting also means that even if you are unfamiliar with a particular application written in Ozark, you should have little trouble understanding its code.

Ozark is still in its early development stages. In fact, the complier is still under development. However, though you cannot execute programs created in Ozark, you can still write the code, which is great training and practice. For more information about Ozark or how you can help, please check out the Ozone Web Site (link provided below).

All images are from the Ozark Web site and are the property of Finch Software.


The Ozark Web Site.


Ozark Language – Documentation. (n.d.). San Diego: Finch Software.

What is object-oriented programming? (2015). TechTarget. Retrieved from http://searchsoa.techtarget.com/definition/object-oriented-programming

Easy File Encryption for LInux and WIndows

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A text file prior to encryption

I want to divert from the educational technology-themed blog that I usually write and talk about a very simple encryption program. If you don’t know what encryption is, you should, especially if you store personal information on a cloud drive. When a file is encrypted, it renders the file unreadable unless you (a) have the software used to encrypt it and (b) have the password, more commonly referred to as an encryption key, that was set when the file was encrypted. It’s not as complex as it sounds and the program I’m going to take a look at does it all for you. To aid with interpretation of this article, the screenshots demonstrate this application’s encryption process, as well as presenting before (at left) and after (below) images of the text document that I am going to encrypt.

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A typical Bcrypt session run from a terminal emulator in Linux

Bcrypt is open source, which means that it’s free to use, free to change (with the intent of improving it) and free to share. Bcrypt is available for Linux and Microsoft Windows (32-bit). It runs from the command line (in Linux anyway). I know what you’re thinking. “Oh no! Chris, I’m not a programmer. There’s no way that I can use something so intimidatingly complex.” My response is simply that it’s easy and you can do it.

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The text file from above after encryption.

Once it’s installed (if you’re using a Debian-based Linux distribution like Ubuntu or Linux Mint, open a terminal emulator and type “sudo apt-get install bcrypt” and provide your administrator password and you’re good to go), open a terminal emulator (in Windows, open the PowerShell). To encrypt a file, make sure that you’re in the file’s directory or folder, type “bcrypt filename.xxx” (where “filename.xxx” is that name and extension of your file) and press Enter. You will be prompted for an encryption key. You will be prompted to enter the encryption key again for verification. The file will be encrypted. Bcrypt assigns a .bfe extension to the encrypted file’s name (e.g. “filename.xxx.bfe”), so if you see this, then you know it’s encrypted. Your file can now be stored on a cloud drive without the danger of being the victim of hackers, should the cloud drive ever be compromised. To decrypt a file, open a terminal emulator and simply type “bcrypt filename.xxx.bfe” and press enter. Enter your encryption key when prompted and press Enter. Who said security had to be complicated?


The Bcrypt Web site.


Shelley, J. (2002). Bcrypt [computer software]. Sourceforge.net.

QGIS -An Open Source Geographic Information System

energize education, qgis

The QGIS logo

Today I want to take a look at QGIS, a free, open source Geographic Information System. So, what is a geographic information system? The U.S. Government Accountability Office (February 2015) defines a geographic information system as “a computer system for capturing, storing, checking, and displaying data related to positions on Earth’s surface. GIS can show many different kinds of data on one map, such as streets, buildings, and vegetation. This enables people to more easily see, analyze, and understand patterns and relationships.” Imagine the kinds of classroom activities that you could develop for Science and Social Studies classes with this kind of software. It’s comparable to ESRI, but without the rather hefty expense that often comes with proprietary technology.

QGIS is actually comprised of several components. The first is the QGIS Desktop. This component allows users to create, view, analyze and share geospatial information. The QGIS Browser allows users to review and organize their data. QGIS Server allows users to share data and to choose which aspects of the data are viewable by others. The QGIS Web Client makes publishing maps online a breeze. They can also be enhanced with symbols and labels. The final component, QGIS on Android, is at the beta level of development, but experienced users are welcome to try it out.

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A QGIS session

So what can you do with QGIS? You can create, edit, manage and export data using a variety of tools such as OpenStreetMap integration. There are digitizing tools that support OCR and GPS. Spatial data can be analyzed in terms of vectors, geoprocessing and geometry, among other criteria. QGIS also integrates 400 tools from GRASS GIS. Additionally, QGIS can share your work online as a WCS (World Coverage Service), a WMS (Web Map Service) or as a WFS (World Feature Service). In short, virtually anything that a user would want to do with a map, he or she can do with QGIS. Imagine the projects students could complete.

QGIS owes much of its functionality and versatility to the wide variety of plugins that are available. The core plugins installed by default include, but are by no means limited to, GPS Tools, Raster Terrain Analysis, interpolation and a Road Graph plugin. Furthermore, a real strength of this software, especially in terms of expandability, is the integration of the Python programming language. Python has been used to develop many of the external pulugins available through the QGIS community. As part of this integration, QGIS offers a Python console through the use of which new plugins can be developed. How’s that for growth potential?

qgis,energize education,energize education through open source

QGIS displays information about the habitat of the Asian Lynx.

Python and QGIS combine with OpenLayers, an open source mapping library, and APIs (Application Program Interface) to create some incredible maps. Maps can be generated that, with a click, can move from one location to another. Maps can be developed that zoom in and out as needed with a mouse click. Users can even toggle between different types of maps for the same regions. For example, QGIS was used recently by undergraduate students to analyze the habitat of the Asian Lynx in the Carpathian mountains. you can view some of their findings in the screenshot at left.

energize education through open source,qgis

QGIS running on Linux in GNOME

You’re thinking, ‘This is great! But how long does it take to learn to use QGIS or become proficient in it enough to teach my students?” The good news is that there is a large amount of documentation available to help new users install and learn to run QGIS. Most of the literature is available on the QGIS Web site and I have provided links directly to some of them below. Regarding the Python programming language, it is fairly easy to learn to use and there are plenty of free tutorials available online. As to using this application with students, you could argue that, because of Python integration, QGIS will grow with your learners.

QGIS is available for Linux, Microsoft Windows and MacOS X.

Thanks to Charles Cossé for suggesting this topic. All images have come from the QGIS home page.


QGIS Web Site

A Gentle Introduction to GIS


Dichte, A., Ehrminger, L., Garcia Travesi Reyes, S., Hoppe, T. and Winger, D. Gnilke, A., Hiltunen & Mund, J.P. (August 2015). Lynx habitat analysis in the Southern Carpathians. Creative Commons. Retrieved from http://www.qgis.org/en/site/about/case_studies/europe_lynx.html.

QGIS user guide. Release 2.8. (14 November 2015). The QGIS Development Team. GNU Venereal Public License. Retrieved from http://docs.qgis.org/2.8/pdf/en/QGIS-2.8-UserGuide-en.pdf.

U.S Government Accountability Office. (February 2015). Progress Needed on Identifying Expenditures, Building and Utilizing a Data Infrastructure, and Reducing Duplicative Efforts (Publication No. GAO-15-193). Retrieved from http://www.gao.gov/assets/670/668494.pdf.

Pharo -The Immersive Programming Experience

I’d like to focus on computer programming in this installment.  Towards this end, I’d like to take a look at Pharo, a software development environment released under the MIT License (similar to GPL, see link below).  Pharo provides a graphical way to utilize the Smalltalk programming language, the programming language used to write Dr. Geo, one of my favorite geometry exploration programs.

phaor logo,energize education

The Pharo logo

First of all, Pharo’s development team refers to Pharo as an “immersive programming environment.” What does this mean? Dictionary.com defines immersive as an adjective “noting or pertaining to digital technology or images that deeply involve one’s senses and may create an altered mental state.” Techopedia defines a programming environment as “a collection of procedures and tools for developing, testing and debugging an application or program.” Another name for such an environment is Integrated Development Environment or IDE. What this means is that Pharo provides a graphical interface for Smalltalk that is so intuitive, full-featured and graceful that it allows you to code without getting in the way.

Before I go further, I’d like to share a few things from Pharo’s mission statement.  The Pharo team seeks to provide an accessible and innovative free, open source programming environment.  These people strive to keep Pharo small, stable and equipped with excellent tools key for software development.  Finally, Pharo seeks to foster a healthy ecosystem of contributors who strive to maintain and enhance this application.

pharo, energize educaton through open source

Pharo at work.

Smalltalk is an object-oriented programming language, which, in layman’s terms means that it focuses more on objects and data rather than on commands, or actions, and logic.  Keeping this in mind, Pharo is designed to be very straightforward to use and to provide prompt feedback.  Pharo also includes an IDE (Integrated Development Environment), from which it draws its simplicity.  Furthermore, Pharo offers a high level of diversity through a large library and a set of external applications.  Pharo also includes strong support for business use in the form of organizations, such as the Pharo Industrial Consortium and an association of users, the Pharo Association.

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Pharo works its magic.

I’d like to take a look at Pharo’s interface as this is key to Pharo’s ease of use.  How often have you launched a new program with some trepidation, wondering with what will I be presented?  How intuitive will the interface be?  How long will it take me to figure out how to make this thing do what I need it to do?  Arguably, Pharo’s interface, or lack thereof, is not just one of its strengths.  It’s also aesthetically appealing.  No need for a menu bar or tool bar, as Pharo relies on context-sensitive menus for its functionally.  Simply click in the main window to open the World Menu, which is a general menu, from which you can select Workspace.  A Workspace is like an artist’s sketchpad upon which you create your application.  Once a Workspace has been opened, you can use contextual menus to perform desired tasks.

So, what’s the best thing about Pharo?  It could be that it is free to download.  It could be the number of free books about Pharo available online.  It could also be the extensive support community.  I leave it to you, the reader, to download and install Pharo.  Then start using it and find out for yourself what you think is the best thing about Pharo.

Pharo is available for Microsoft Windows, Apple MacOS and GNU/Linux.


The MIT License

Pharo Website


Thanks to the people at Pharo for permission to use their screenshots for this article.

Black, A.P., Ducasse, S., Nierstrasz, O., Pollet, D., Cassou, D. & Denker, M.  (2009). Pharo by example.  Switzerland: Square Bracket Associates.  Retrieved http://pharobyexample.org/versions/PBE1-2009-10-28.pdf

Immersive. (n.d.). In Dictionary.com. Retrieved from http://dictionary.reference.com/browse/immersive?s=t

Pharo [computer software].  (n.d.).  GNU General Public License.

programming environment. (n.d.). Techopedia. Retrieved from https://www.techopedia.com/definition/16376/development-environment

Middle School Open Source Users Group

energize education,cse linux penguins

I usually write about open source technology, but now I’m going to address something that is arguably the future of open source, Linux users groups for school-age children.  In this case, the users group is the CSE Asian Penguins, a Linux users group for middle school students at the Community School of Excellence in St. Paul, Minnesota.  CSE is a Hmong charter school and the Asian Penguins may well be the only Linux users group based in a Hmong charter school.  So, who are the CSE Asian Penguins and what do they do?

First of all, the Asian Penguins are sixth, seventh and eighth grade boys and girls who attend CSE.  To quote from their Web site “our membership includes Hmong, Karenni, and other types of students.”  The common ground upon which they meet is that of Linux and other open source software.  They utilize Linux for schoolwork, entertainment and communication.  Their name, Asian Penguins, comes from the fact that most of these students’ families came from Asia and that a penguin is the Linux mascot.

energize education through open source, asian penguins,operation upgrade

Operation Upgrade in action

So what does this group of like-minded open source enthusiasts do?  One of their primary goals is to become extremely familiar with the Linux operating system.  They learn to use Linux for school, productivity and life in general.  Better still, these young academicians use this knowledge to educate peers and teachers alike.  But these scholars take their knowledge of open source beyond the confines of their school and reach out to the surrounding community by bringing computers running Linux to needy families and organizations in the community.  Their most recent endeavor, Operation Upgrade, provided CSE with two computer carts, containing 60 refurbished laptops running the latest version of Ubuntu Linux.

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The CSE Asian Penguins pose with the completed Operation Upgrade

So, why do I refer to a users group like the CSE Asian Penguins as the future of open source?  These young men and women are learning the ins and outs of Linux at the perfect age.  Their interest will no doubt result in the broadening of their computer frontiers into other areas of open source technology.  These students will become the software developers and hardware engineers of tomorrow’s open source products.  Because they will be well-versed in the use of open source technology, they will be able to readily collaborate with colleagues in other nations in which open source has already been adopted.  They will play a great role in the evolution of open source.

If you’d like to know more about the Asian Penguins or would like to find out how you can help, visit their Web site listed below under Resources.


CSE Asian Penguins Home Page


All information was retrieved from https://sites.google.com/a/csemn.org/asian-penguins/home.






Unizor -Creative Mind through Art of Mathematics

Unizor is an open source mathematics and physics Web site that seeks to promote intellectual strength, creativity and analytical abilities.  Unizor’s founder, Zor Shekhtman, does this through a series of lectures on mathematics and physics designed to help high school students exercise the mind just as one would exercise his or her body in a gymnasium.  The abilities strengthened by using Unizor can readily be applied to real life.  Another great strength of Unizor is that parents and other responsible adults are placed in charge of their students’ education.

energize education,energize education through open source,unizorf

Zor discusses Permutations.

So, how does Unizor do this?  A parent/supervisor goes to Unizor’s Web site and creates an account for him or herself.  The parent/supervisor then has two roles.  The first is to enroll his or her students into instructional programs.  The second is to manage the learners’ progression through the programs.  Each student has an account created by the parent/supervisor which makes this possible.  From here, students’ progress can be monitored, including exam scores, and they can be passed on to the next level within the course.

energize education,energize education through open source,unizor,christopher whittum

Zor discusses possible outcomes of a given set of options.

How does Unizor work?  Each topic is presented by Zor Shekhtman as a video lecture.  Far from being dry, Zor conveys his enthusiasm for the curriculum through his instruction, which makes the lectures very engaging.  Zor also utilizes visual aids and examples to enhance the learning experience.  The educational experience is further augmented by the use of other media and materials.  Furthermore, teachers are not left out.  To quote from the Unizor home page, “The function of a Unizor teacher is to provide quality educational materials. Control over educational process is not a function of a Unizor teacher, this is supposed to be provided by parents/supervisors.”  Teachers can modify both instructional content and exams as well.

Unizor has a very different approach to mathematics education than the more prevalent  principles utilized by many schools.  These principles have an emphasis on formulas and procedures and the memorization of these.  The problem with this is that students, not finding immediate real-world application for this information, will soon forget it once the assessment is passed.  Unizor focuses on a logical and analytical approach to mathematics education, encouraging problem-solving, proving theorems, axiomatic foundation and rigorousness of educational material.  This approach is conducive to the development of students’ minds, something that will be of value in any occupation.

Unizor is ideal for learners who have been identified as gifted and talented.  The opportunities for academic and intellectual growth abound here.  Be aware, that Unizor is a work in progress.  However, there are more than 400 lectures available with more to come.  You should also know that the physics component is still predominantly under development.  So take control of your student’s learning and create a supervisor account on Unizor’s Web site today.


Unizor Home Page