Action-based embodied designs require multitouch equipment, such as a tablet or an interactive whiteboard. As our designs are discovery-based, we deliberately do not publish the target mathematical concepts and invite you to discover mathematical rules behind the design constraints yourself. Alternatively, check the links below each activity to read about mathematical content and access to scholarly publications.
To use the activities open a link by pressing on one of the pictures below. In each design, there are movable points (grey circles) and some color feedback. You need to move the points following the instructions:
- Move the points (or one point) and make the feedback green.
- Find another green position.
- Keep the feedback green (move the points in a way that the feedback would be green all the time). It is rather challenging but possible in each case!
- When you are fluent (let your body to practice at first!), reflect what is the rule that determines the green color of the feedback.
- Move to the next task by listing the tasks on the bottom of the screen.
Functions
Activity 1
Educational designers: Dor Abrahamson and Arthur Bakker
Programmed by: Rosa Alberto
Read more about the initial development of this design and check the relevant publications here.
An extended version of the embodied design for this mathematical concept was developed by our team as a touch-screen app.
A publication on an application in the classroom.
Activity 2
Educational designer: Anna Shvarts
Read more about this project and check the relevant publications here
Functional thinking
The design consists of three task sequences presented as 3 sessions:
Session 1: Light ray and shadows: Exploring Linear Relationships
Session 2: Nomogram: Kinesthetic Learning of Functional Relationships
Session 3: Dynamic Graphs: Function Transformations
Educational designer: Hang Wei (in collaboration with Rogier Bos and Paul Drijvers)
Read more about this project and check the relevant publications here
Trigonometry
Activity 1
Educational designers: Rosa Alberto, Arthur Bakker, Paul Drijvers, Anna Shvarts
Read more about this project and check the relevant publications here
An extended version for a classroom consists of four lessons:
lesson 1, lesson 2, lesson 3, lesson 4.
Activity 2
Educational designers: Anna Shvarts, Rosa Alberto, Arthur Bakker, Paul Drijvers
Read more about this project and check the relevant publications here
Geometry
Activity 1
Educational designer: Anna Shvarts
Read more about this project and check the relevant publications here
Graphs
Activity 1
Educational designer: Anna Shvarts in collaboration with Heather Johnson, University of Colorado Denver
Lookup a similar Desmos Toy Car Activity from a different design genre.