# data[].attributes.headline
What is Geogebra and why would you use it?

# data[].attributes.subject
What is Geogebra and why would you use it?

# data[].attributes.body
This is a tutorial written by Geogebra to aid teachers in creating downloadable worksheets for their students.

# data[].attributes.attachment_link.title
Tutorial:Creating Dynamic Worksheets - GeoGebra Manual

# data[].attributes.attachment_link.description
In this activity you will learn how to create a dynamic worksheet that illustrates how lower and upper sums can be used to approximate the area between a function and the x-axis.

# data[].attributes.body
List of References:

1. American Association of Colleges for Teacher Education (AACTE). (2008). The Handbook of Technological Pedagogical Content Knowledge (TPCK) for Educators, New York, NY: Routledge/Taylor & Francis Group

2. Bautista, G. (2010, April, 13). Mathematics and Multimedia GeoGebra Step-by-Step Tutorial Series. Retrieved from http://mathandmultimedia.com/geogebra/

3. Escuder, A & Furner, J.M. (2012). The impact of GeoGebra in Math Teachers’ Professional Development. Proceedings of the Twenty-third Annual International Conference on Technology in Collegiate Mathematics.  (pp. 76-84). Denver, Colorado: Pearson Education.

4. Geogebra. (2014). GeoGebra Chrome App with 3D View. Retrieved from  https://www.youtube.com/user/GeoGebraChannel

5. Google. (n.d.) What is Computational Thinking? Computational Thinking for Eduactors. Retrieved from https://computationalthinkingcourse.withgoogle.com/unit?lesson=8&unit=1

6. Hohenwarter, M. (2012). GeoGebraWiki . Retrieved from http://archive.geogebra.org/en/wiki/index.php/Main_Page

7. Hwang, W., & Hu, S. (2013). Analysis of peer learning behaviors using multiple representations in virtual reality and their impacts on geometry problem solving. Computers & Education, 62, 308-319. doi:10.1016/j.compedu.2012.10.005

8. Ministerial Council on Education, Employment, Training and Youth Affairs (MCEETYA). (2008). Melbourne Declaration on Educational Goals for Young Australians. Retrieved from http://www.curriculum.edu.au/verve/_resources/national_declaration_on_the_educational_goals_for_young_australians.pdf

9. Victorian Curriculum and Assessment Authority. (n.d.) Digital Technologies. Retrieved from http://victoriancurriculum.vcaa.vic.edu.au/technologies/digital-technologies/introduction/rationale-and-aims

Other sites accessed:

1. Geogebra Twitter feed. (n.d) Retrieved from https://twitter.com/geogebra

2. Geogebra website. (n.d.) Retrieved from https://www.geogebra.org

# data[].attributes.body
A guide on how to navigate and use Geogebra.

http://mathandmultimedia.com/geogebra/

# data[].attributes.body
Go to the Geogebra Youtube Channel for more awesome Geogebra videos created by users around the world!
https://www.youtube.com/user/GeoGebraChannel

# data[].attributes.attachment_link.keywords[]
geogebra interactive dynamic mathematics learning algebra geometry statistics calculus math maths

# data[].attributes.attachment_link.description
The world's favorite dynamic mathematics software. Learn. Teach. Share.

# data[].attributes.headline
Get connected: follow Geogebra on Twitter

# data[].attributes.subject
Get connected: follow Geogebra on Twitter

# data[].attributes.body
To keep yourself updated for everything Geogebra related.
https://twitter.com/geogebra

# data[].attributes.body
Useful wiki to answer all your Geogebra related questions!
http://archive.geogebra.org/en/wiki/index.php/Main_Page

# data[].attributes.attachment_link.description
GeoGebraWiki is a free pool of teaching materials for the dynamic mathematics software GeoGebra. Everyone can contribute and upload materials! All contents of this pool may be used free of charge.

# data[].attributes.body
Below are a list of ideas for using Geogebra in a secondary Math classroom:

Teacher demonstrations of geometry/algebra concepts on Geogebra in front of students for clearer and more convenient way of explanations.

Give students designed worksheets on Geogebra to allow students to individually explore relevant concepts in further detail.

Use designed worksheets on Geogebra so that students can practice in a more efficient and easy-to-understand ways.

Ask students to create their own worksheets on Geogebra to further develop their understanding, strengthen their abilities in desired areas, and share with their peers for further revision.

Use Geogebra to better explain complicated concepts to students who are finding the material challenging, by having them interact and alter variables in ways not possible with pen and paper.

Take a flipped classroom approach and record videos explaining how to create create geometric functions in Geogebra and have students watch these before coming to class. The lesson can then be dedicated to exploring these functions further, and drawing on the student's knowledge of the software to problem solve.

So that students better understand geometric proofs, the software can be used to build certain shapes (i.e. using two circles to draw an ellipse). Students can then alter values of equations to see what happens to the shape, and better understand the general formulae.

When students don't have a graphics calculator yet (i.e. in the younger years), Geogebra can be used as a free alternative with similar capabilities.

Instead of using a test for an assessment task, have students create a series of mathematical problems and solutions within Geogebra to apply their knowledge. Students can also model data within the software, so a research task wherein students have to create a formula and model it could also be done.

# data[].attributes.headline
Why use Geogebra in your classroom? A pedagogical rationale. 

# data[].attributes.subject
Why use Geogebra in your classroom? A pedagogical rationale. 

# data[].attributes.body
Geogebra provides a powerful alternate model for students to expand mathematical concepts and understanding. Hwang and Hu (2013) showed that using multiple representations to explain concepts will give students a deeper understanding of  mathematics, especially when it involves collaborative learning.

There are various pedagogical advantages to using Geogebra, including:

Dialogic teaching by using Geogebra as extra evidence for class conjecture.

Pre-programmed Geogebra worksheets can be generated for students to practice at home.

Inquiry based learning by using Geogebra to investigate connections between mathematical concepts.

A tool for formative assessment.

Collaborative investigation by students sharing their understanding with a partner.

However, the teacher can only make effective use of Geogebra with a certain degree of TPCK (technological pedagogical content knowledge). If a teacher places focus solely on the pedagogical and technological aspects of the activity, the student might focus more on the software than the mathematics (AACTE, 2008). This would lead to an engaged classroom, however it would not allow for students to achieve the learning objectives for the lesson.

Furthermore, introducing Geogebra into the classroom is supported by the Melbourne Declaration on Goals for Young Australians (2008), in which it is stated that students need to become "creative and productive users of technology, especially ICT, as a foundation for success in all learning areas" (p. 8). Indeed, Geogebra doesn't simply aid in the teaching of mathematics, the logic used to solve problems is heavily rooted in concepts of computational thinking, as it facilitates creation of "solutions using a series of ordered steps (or algorithms)" (Google, n.d, para. 2). Computational thinking isn't just a powerful tool for students, it is also a skill taught in the Digital Technologies stream of the Victorian curriculum (VCAA, n.d.), and as such addressing it in the math classroom allows for cross-curriculum connections to be made.

# data[].attributes.body
https://www.geogebra.org

# data[].attributes.body
GeoGebra (2016) is a free dynamic mathematics software for all levels of education that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus in one easy-to-use package. Interactive learning, teaching and evaluation resources created with GeoGebra can be shared and used by everyone.

GeoGebra is the world’s favorite dynamic mathematics software, for teaching and learning strategies (Escuder & Furner, 2012), has received numerous educational software awards, and supports STEM education and innovations in teaching and learning worldwide.

# data[].attributes.attachment_link.description
An introduction to some of the basic functions found in Geogebra that takes you through the construction of a triangle and the calculation of its angles.