Getting Started with GeoGebra by Libo Valencia

GeoGebra
15 May 202449:22

TLDRLeo Valencia introduces GeoGebra, a versatile mathematics software used in education from pre-K to college. He shares his experience using GeoGebra for various math concepts and encourages setting up an account for access to numerous resources. Valencia demonstrates practical applications like graphing equations, proving geometric properties with images, and using GeoGebra for fun activities like 'Pringles Circle' and 'Battleship' to engage students. He also discusses the importance of the GeoGebra community and finding ready-made resources to save time and enhance learning.

Takeaways

  • ๐Ÿ˜€ Leo Valencia is a passionate teacher with a Masters in Pure Math and Administration, using GeoGebra for various math classes.
  • ๐ŸŒŸ Leo uses 'same but different' activities to engage students, comparing objects like Star Wars droids to stimulate discussion.
  • ๐Ÿ“š He recommends the website 'same but different math.com' for ready-made activities to start math classes.
  • ๐Ÿ‘จโ€๐Ÿซ Leo is a GeoGebra Ambassador, using it extensively for teaching and consulting on new GeoGebra tools.
  • ๐Ÿ’ป GeoGebra is a free mathematics software used from pre-K to college levels, with over a million resources.
  • ๐ŸŒ GeoGebra has a global community, with resources available in multiple languages.
  • ๐Ÿ‘ฉโ€๐Ÿ’ป It's highly recommended to create a GeoGebra account for organizing and saving resources.
  • ๐Ÿ“ฑ Students can use the GeoGebra app for graphing and learning math concepts on their phones.
  • ๐Ÿ“ˆ Leo shares examples of using GeoGebra to teach concepts like right triangles and optimization in engaging ways.
  • ๐ŸŽ“ He emphasizes the importance of allowing students to explore and create their own mathematical proofs and models.
  • ๐Ÿ” Leo demonstrates how to find and utilize GeoGebra resources, including applets and tutorials, for teaching different math topics.

Q & A

  • What is the name of the presenter in the video?

    -The presenter's name is Leo Valencia.

  • How long has Leo Valencia been teaching secondary math?

    -Leo Valencia has been teaching secondary math for the past 15 years.

  • What did Leo discover during his first Masters in pure math?

    -During his first Masters in pure math, Leo stumbled across GeoGebra.

  • What is the 'Same but Different' activity that Leo mentions in the video?

    -The 'Same but Different' activity is a classroom routine where students compare two objects or ideas and discuss their similarities and differences.

  • What is the website Leo recommends for finding 'Same but Different' math activities?

    -The website Leo recommends is samebutdifferentmath.com.

  • What does Leo suggest changing the 'Do Now' activity to in his classroom?

    -Leo suggests changing the 'Do Now' activity to 'Activation' as it is more user-friendly.

  • What is the role of Leo Valencia with GeoGebra?

    -Leo Valencia is officially a GeoGebra Ambassador, which means he uses it a lot and is a passionate teacher who believes in using technology to develop critical thinking skills.

  • Why does Leo recommend getting a GeoGebra account?

    -Leo recommends getting a GeoGebra account because it has many benefits, such as being able to organize and save resources.

  • What is the main benefit Leo finds in using GeoGebra with his students?

    -The main benefit Leo finds in using GeoGebra is that it brings math concepts to life and allows students to explore and connect with mathematical ideas in engaging ways.

  • How does Leo use GeoGebra with his college algebra students?

    -Leo uses GeoGebra with his college algebra students to visualize concepts such as solving systems of equations or understanding the slope of a tangent line.

  • What is the 'Pringles Challenge' that Leo mentions in the video?

    -The 'Pringles Challenge' is an activity where students use a can of Pringles to create a circle and then write an equation of best fit for that circle.

Outlines

00:00

๐ŸŒŸ Introduction to the Classroom Activity

Leo Valencia begins the session by introducing himself as a secondary math teacher with a passion for the classroom, despite holding a Masters in Pure Mathematics and Administration. He engages the class with a 'same but different' activity using Star Wars characters, aiming to foster group discussion and critical thinking. Leo highlights the importance of this activity as an icebreaker and a way to encourage student interaction, mentioning that it can also be used to revisit previous lessons or introduce new concepts.

05:01

๐Ÿ‘จโ€๐Ÿซ Profile of Leo Valencia

Leo shares his teaching experience, spanning 15-50 years, and his active presence on social media platforms like Twitter and YouTube under the handle 'Mr. Valencia 24'. He discusses his teaching philosophy, emphasizing the use of technology to enhance learning. Leo is a GE Ambassador, having consulted for GeoGebra and used it extensively in his teaching across various math subjects and levels. He encourages teachers to create GeoGebra accounts for easy access to free educational resources and to organize teaching materials.

10:02

๐Ÿ’ป Setting Up a GeoGebra Account

The session walks through the process of creating a GeoGebra account, emphasizing its benefits such as saving and organizing resources. Leo demonstrates how to sign up using different platforms like Google, Microsoft, or an email account. He shows how to customize the profile and create folders to organize resources, which can save time and improve lesson planning.

15:03

๐Ÿ“š Utilizing GeoGebra Classic

Leo introduces GeoGebra Classic as a user-friendly graphing calculator and encourages its use for teaching various mathematical concepts. He demonstrates how to graph equations, change colors, and manipulate inequalities. He also mentions the GeoGebra app, allowing students to use the tool on their phones, which can be particularly helpful for those without graphing calculators.

20:03

๐Ÿ—๏ธ Applying GeoGebra in Teaching

Leo shares examples of how he uses GeoGebra in his classes, such as having students prove geometric properties by uploading and analyzing their own photographs. He discusses the assignment where students take pictures of right triangles, upload them to GeoGebra, and then demonstrate the properties of the triangles using different mathematical methods. This approach aims to make math more engaging and relatable for students.

25:08

๐Ÿ” Discovering GeoGebra Resources

The paragraph discusses how Leo finds GeoGebra resources, particularly those that help visualize mathematical concepts. He shares an example of an applet that demonstrates optimization problems, showing the relationship between material, volume, and the maximum volume point. Leo emphasizes the importance of these resources in helping students understand complex mathematical ideas.

30:10

๐ŸŽฏ GeoGebra in Action: Battleship with Polar Coordinates

Leo describes an interactive game he conducted in class using GeoGebra, where students played a version of Battleship using polar coordinates. This activity helped students practice and understand polar coordinates in a fun and competitive way. He credits Daniel, another GeoGebra user, with creating the applet and mentions how such activities can significantly enhance student engagement.

35:10

๐Ÿค” Encouraging Questions and Creativity

In this segment, Leo addresses the importance of encouraging questions in the classroom. He reflects on his experience using GeoGebra and other technologies in teaching, emphasizing that he mostly adapts existing resources rather than creating his own applets. He also mentions his YouTube channel, 'Mr. Valencia 24', where he shares tutorials and materials to help students and teachers get started with GeoGebra.

40:12

๐Ÿ† Student Creativity and Competition

Leo talks about the potential for students to create their own GeoGebra applets, although he admits he has not personally assigned such projects. He mentions that computer science teachers at his school have students create 3D models and use augmented reality features in GeoGebra. Leo expresses interest in the potential for student creativity with GeoGebra and the possibility of organizing competitions to encourage this.

Mindmap

Keywords

๐Ÿ’กGeoGebra

GeoGebra is dynamic mathematics software that combines geometry, algebra, spreadsheets, graphing, statistics, and calculus. It is used as a graphing calculator and much more in math and science education. In the video, Leo Valencia uses GeoGebra to teach various mathematical concepts, including graphing equations and inequalities, and to enhance student engagement through interactive activities.

๐Ÿ’กMasters in Pure Math

A Masters in Pure Math refers to a postgraduate degree focused on the study of abstract mathematics, without direct applications to other disciplines. In the script, Leo mentions his Masters in Pure Math as a background that led him to discover GeoGebra during his academic studies.

๐Ÿ’กStar Wars

Star Wars is a popular science fiction franchise. The script mentions Star Wars as a cultural reference point to engage the audience and as an example of a 'same but different' activity where participants compare the similarities and differences between two Star Wars droids, C3PO and R2D2.

๐Ÿ’กGraphing Calculator

A graphing calculator is an electronic device that is capable of plotting graphs of functions. In the video, GeoGebra is described as a type of graphing calculator that can be used for various mathematical tasks, such as plotting lines and curves, which was Leo's initial impression of GeoGebra.

๐Ÿ’กActivation

In the context of the video, 'activation' refers to an engaging activity or warm-up exercise at the start of a lesson to activate students' prior knowledge or get them ready to learn. The script mentions that what was once called 'do now' is now often referred to as 'activation'.

๐Ÿ’กGeoGebra Ambassador

A GeoGebra Ambassador is an individual who is recognized by GeoGebra for their active use and promotion of the software. Leo identifies himself as an Ambassador, indicating his extensive use of GeoGebra in teaching and his role in advocating for its use in education.

๐Ÿ’กResources

In the script, resources refer to the educational materials available on the GeoGebra platform that teachers can use in their classrooms. These include applets, lessons, and activities that are designed to help teach mathematical concepts.

๐Ÿ’กApplets

GeoGebra applets are interactive math and science simulations that can be used for teaching and learning. The script discusses how teachers can find, use, and modify applets to suit their specific teaching needs.

๐Ÿ’กSame but Different

The phrase 'same but different' is used in the video to describe an activity where students compare two items or concepts, identifying both their similarities and differences. This activity is used to engage students and can be applied to various mathematical concepts.

๐Ÿ’กPringles

Pringles are mentioned in the script as part of a fun math activity where students create a circle using a can of Pringles and then calculate the equation of the best fit for that circle. This activity is an example of using everyday objects to teach mathematical concepts.

๐Ÿ’กPolar Coordinates

Polar coordinates are a two-dimensional coordinate system in which each point is determined by a radius and an angle. In the video, Leo describes using GeoGebra to teach polar coordinates through a game of 'Battleship,' where students use polar coordinates to 'fire' at targets.

Highlights

Introduction to GeoGebra by Leo Valencia, an experienced secondary math teacher.

Leo Valencia holds a Masters in Pure Mathematics and Administration, with a passion for teaching in the classroom.

GeoGebra was discovered during Valencia's first Masters, serving as a graphing calculator.

Engaging icebreaker activity involving comparing Star Wars characters to illustrate 'same but different'.

Valencia emphasizes the importance of group discussions in the classroom.

Students analyze and discuss the similarities and differences between two images.

Introduction to 'same but different math.com', a resource for math teachers.

Discussion on the shift from 'do now' to 'activation' in teaching terminology.

Valencia's teaching journey and his experience with different math subjects.

The role of GeoGebra Ambassador and Valencia's contribution to the GeoGebra community.

GeoGebra as a free mathematics software for all levels of education.

Advantages of creating a GeoGebra account for organizing and saving resources.

Step-by-step guide on setting up a GeoGebra account.

Benefits of using GeoGebra for various math concepts across different grade levels.

How to create folders in GeoGebra to organize resources.

GeoGebra Classic as an intuitive starting point for new users.

Using GeoGebra to bring math concepts to life through visual and interactive means.

Assignment ideas using GeoGebra to enhance student engagement and understanding.

GeoGebra's potential in formative assessment and classroom activities.

Valencia's experience using GeoGebra with college algebra and pre-calculus students.

The importance of allowing students to explore and create their own math concepts using GeoGebra.

How to find and utilize resources within the GeoGebra community.

Practical examples of using GeoGebra in the classroom for optimization problems.

GeoGebra's potential in creating a fun and interactive learning environment.

Valencia's advice on using GeoGebra to make math concepts more approachable and enjoyable for students.