New features of GeoGebra version 4.0 free mathematics software for learning and teaching.

GeoGebra is an interactive geometry, algebra, and calculus application, intended for teachers and students. Most parts of GeoGebra are free software. GeoGebra is written in Java and thus available for multiple platforms.

Its creator, Markus Hohenwarter, started the project in 2001 at the University of Salzburg, continuing it at Florida Atlantic University (2006–2008), Florida State University (2008–2009), and now at the University of Linz together with the help of open-source developers and translators all over the world. Currently, the lead developer of GeoGebra is Michael Borcherds, a secondary maths teacher.
After a successful Kickstarter campaign, GeoGebra plans to expand their offerings to include an iPad and Android version.

Many new commands and tools .

The commands to list would be very time consuming. A summary of the changes, you could list as areas with the greatest growth function:

• Stochastics
• Data Analysis
• Analysis
• Graph-theory
• Operations on sets (in GeoGebra there arelists)
• ...

More important than all these functions, but the new list of all usable functions in GeoGebra, which is now available as a side imposable range (triangle in the rectangle in the lower right corner click .). Sorted by topic you will probably find it faster than it was before in the shorter list of case. You get into this field not only the name but also the syntax presented and it is offered a button that leads directly into the manual wiki. 

In the Wiki-Manual there are also lists, in which the commands are also sorted by topic. The advantage here is that you will sometimes refer to other functions and examples given. Two examples of advanced page in the wiki:

• Check box [1]
• New Point Tool [2]

Also known as "simple" users can add information to the wiki and provide interesting examples of other colleagues.

On the Interface

A frequently cited criticism GeoGebra 4.0 is: GeoGebra is so "inflated" that is no longer available for younger students. The interface is too complicated, but thanks to extensive programming of the interface. Improvements in Java, have made the appearance of GeoGebra with just one click convert with the Perspectives menu.

Perspectives.

It possible to make the so-called Perspectives, some of which are already defined as a selection. A perspective is a default for the type and arrangement of the visible portion of view, the tools offered and general settings. So there is a prospect "Elementary Geometry", in which all the tools for simple drawing objects (not stacked) together are available, the only visible sign area and the font is slightly larger. 

Perspectives can create yourself, if not one of the guidelines range. It all views are freely movable and can even outsource the GeoGebra window. None of the views must always be visible and you can therefore use a clean table window. 

Is helpful for the younger artistdesign bar, which is primarily there to the appearance of objects quickly . change Instead of looking in the extensive properties dialog, you can easily make changes directly accessible via a couple of buttons

Graphics view.

The introduction of a second graphics window has increased GeoGebra's ability to demonstrate/compare similar work with different views. Practical example for separate consideration of function and derivative function, or simply to display text in a window. The mapping to a view of the drawing is done or can be retrofitted in the Properties dialog of the object are changed.

→ Exercise: function derived graphically and use another window to draw inference.

→ Exercise: representation of the unit circle and the trigonometric function depending on the angle

Even in the character area itself was working on the recruitment opportunities at the axes. This way you can now limit the axes to represent positive values, or always on the edge of the axes. Besides, you can now also functions as a function of other variables defined as x. Indicate to the already existing possibility a point in polar coordinates, then a polar coordinate grid is available.

Algebra view.

A small yet a very nice improvement in the Algebra View is the display of objects using LaTeX; the user can see, read, and understand functional equations. In addition, Vectors and Matrices are now displayed correctly in the AV.

New features for the use of whiteboards or other touch devices.

As many want to use GeoGebra as a tool for teaching math with interactive whiteboards is understandable. Unfortunately, this has been quite inconvenient and you have had to make do with a few tricks, creation of an applet usually requires a keyboard. Now there are some changes that simplify operation and expand on the whiteboard.

• The aforementioned 'bar design' allows quicker access to object properties. Otherwise it was very awkward to bring up the Properties dialog and change something there.
• Changes to the properties you can save but also by adjusting the preferences for objects according to your wishes. In the settings, there is now a list of all objects where you almost can advance to adjust settings to look the way you want it.
• A virtual keyboard, which appears whenever you click on an input field (after the keyboard is enabled).
• For smaller pupils and colleagues who have trouble reaching the top is drawing tools, now allows the 'Tools strip down' view.
• If you want something you have to sketch in a drawing, now no longer the image into a table GeoGebra software copy and paste. A simple pen tool allows the drawing by hand. Here, the image is stored as subscribed in GeoGebra.

NOTE: A GeoGebra version for mobile phones or tablet is in the works. If your device has a JavaScript capable browser you can test it by visiting GeoGebra tube. Your browser does your device as a "mobile" before GeoGebraTube server, just so no Java support, then the mobile version of GeoGebra used. This works, but some already, but not, for example with files that use scripting or scripting does not work.

Extensions of the spreadsheet.

 

   

There are many new functions for the integrated spreadsheet in GeoGebra. 

The first new feature you can detect even if it displays the table and click on one of the cells. So there is now a specialTable tool bar, can be found in the tools that you can use in the table. The normal drawing tool bar will reappear when you dialing the algebra or the drawing view. 

The appearance of the table and the display of values ​​in the table can now also be affected. If you click right on the table, it can be in the context menutableoptions' and select pre-set some properties. Thus, even the lines are rendered invisible. For the table, there is now also a'design bar, with one magazine ad, can set the background color, alignment, and borders. The input and correction of longer formulas is facilitated by an input field, as he is known also from other spreadsheet programs will be offered. 

The'co-sign from view and table has been further improved. Even in version 3.2 there was the functionTrace to Spreadsheet nowvalues ​​in Table enter, which was significantly improved. Points and any value (ie about the lengths of lines, angles, or a single coordinate) can now easily enter into the table. Conversely, now also offered tools with which you can generate from the data in the table, drawing objects and other expenses for the sign-view, such astable,matrices', etc. to which it some small dialogs for setting options out there. 

Now the very extensive amount of toolsanalysis of data is. If you have a list of dates and numbers - they can also be imported from other programs or copied to the table - you can make a variety of types ofgraphical and mathematical analysis, two or more variables as well as simple statistics such as sum, average, etc.

New export opportunities.

In addition to the already previously exploitable opportunities for the export of GeoGebra out there are major changes. And also when exporting to HTML page, there are a few improvements. 

Thus, besides the creation of complete HTML page, the possibility of Exports of applets for wikis, Moodle and as a Google Gadget .

Of interest is the ability to create an animation from a animated gif image. This one is independent of Java on mobile devices so that usually is not available. 

The biggest innovation in this area is undoubtedly the introduction of a materials database under the name GeoGebraTube. You can upload directly from GeoGebra out the worksheet and must not have its own page on the Internet. GeoGebraTube also offers the possibility of using the files from other members and the organization of all selected worksheets to make them more useful to the students.

Simplification of existing functions.

Text tool

In GeoGebra, there is even the possibility to create dynamic text, ie Values ​​from the drawing may be included in the text, so that the text change in the drawing also changed. 

However, the creation of dynamic text was perceived by many to be complicated, especially if you wanted to link multiple dynamic components. A new Text tool gives you a dialogue that is intended to simplify the entry. Instead of placing shares in quotes and give the individual components with a "+" to link it now a selection box where you can select individual objects. Thus, the selection of a point to the fact that its coordinates are displayed dynamically, and this is reflected by the fact that the name of the item is displayed in a box. Within this box you can make changes, then apply some functions, such as the determination of the x-value of this point. 

Certainly important, the Previewfunction' is. For the purposes of LaTeX' there is finally a long list of templates, as well as a large number of characters. Regarding the use of LaTeX, it was started by members of the Forum in the English Wiki Manual to prepare a list of standard formulas so that you can copy the code simple can.

Slider

Another small but important change is the fact that sliders have now dynamic limits. This means that you can use any value in GeoGebra now as a value for the upper or lower limits. Now it is possible, for example, fractions, set the slider to the counter so that he can have a maximum size of the denominator.

Animation

Now it was only one possible animation with the help of sliders, to create then in version 4.0 provides a new opportunity. Points to any kind of line (line, line, circle, ... and associated routes - this semi-circle + line) were drawn can now be easily animated by a right click you turn on the animation . The animation on the infinitely long line has been designed so that the outward movement is faster.

Positioning of points

Every now and again been in demand in the forum, if you do not restrict the movement of a point some way. There were opportunities to work, but it was cumbersome and could hold only one point in a rectangle and a circle. Gliders were only for circles or straight lines. 

With the toolPoint on Object you can now put a point on any face or, if you click on the edge of a surface, let him slide on the edge. The subsequent release or on-(A-) hanging one point was only possible through a redefinition of what was probably too complicated for novice users. You now have the toolpoint of attach / detach.

Long-missing capabilities for the school

Requests in the forum for new features worth it anyway. And so many other requests of the users have been implemented that have been missing for a long time.

Inequalities

Finally, inequalities can now be specified and drawn. Not only linear but also for all types of conics.
The presentation included in the drawing window indicates whether < or <=. There is also an inverse representation possible in order to optimize the linear valid range to set them free. Linear inequalities with one variable can be intervals displayed on the axes in the usual presentation with filled or empty circle.
Interval data as <math> 3 <x <8 </ math> can now be used in other places where you'd otherwise use an AND operation.

List operations

Are now available ...

• <Object> <List> ∈ is an element of
• <List> ⊆ <List> is a subset of
• <List> ⊂ <List> is a proper subset of
• <List> \ <List> Determines the difference
• <List> * (N) defines the n-th element of the list.

The first query can return a boolean result variable, so true or false . The last two give you a list as a result.

Cut points can be indicated

What has been asked often in designs is now possible. One no longer needs to construct additional lines or arcs but can select a cut point (in the Properties dialog) to "show cut cropped lines." Where they are visible only when the circles are invisible.
Please install Java to use this page.

Significant new opportunities for functions

Determination of ...

• Absolute extrema for functions in the limited interval
• Vertical asymptotes and limits (on the right side, left side)
• ...

Loci of slider

... needs some text ...

Scripting

Under Scripting refers to a type of programming, which, put simply, SOGT sure that will run on a user action into multiple actions GeoGebra. In older versions this was possible only for HTML and JavaScript but knowledgeable in the current version you have installed without the possibility of programming skills in GeoGebra buttons or input lines and link them with a list of commands. You have to learn any new commands, but simply uses the commands as they can be used in the input line.
Especially for the new scripting commands have been introduced, with which one can influence, for example, the appearance of objects and the canvas.

Finally

Where is the CAS?

If you ask this, you have probably heard or read CAS should be incorporated in version 4.0; a CAS window and for some time in the beta version was already available. Beginning in 2011, it was resolved by the developer side to try a new CAS system for GeoGebra. The previously built-MathPiper did not meet all required functionality, and so the use of an external CAS called Maxima was allowed. This allowed users a better tool, although a less than ideal one.
In 2011, a Java version of Reduce (computer algebra system) [3], one of the oldest CAS programs (1960) became available, it was converted to Open Source a few years. The integration of MPReduce was begun under the Google Summer of Code; testing proved it to be well integrated. The decision was made to let go all other versions of CAS. Since of the integration process would be incomplete for the release date of version 4.0, the developers took out the CAS view from version 4.0. The CAS version will be published in the next stable release called version 4.2.
Those interested can test the beta version to 4.2. As usual, they now find a link to a Web Start version in the sub-forum to version 4.2 (near the bottom of the page).

Printed or PDF?

If you have this text as PDF or get printed, then you should definitely visit the page on the wiki directly, which is at the address

• Http://wikis.zum.de/geogebra-rlp/Neuerungen_in_GeoGebra_4.0

can be achieved. It is worthwhile, because there you can try some of the functions in the form of small embedded GeoGebra applets or experience, at least in "action". There the gif image is animated really well.

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