With the last few videos, we entered the math world. Why we do it and what to keep in mind

**#485**- 14 Apr 2017
- 2:40

- LEGO MINDSTORMS
- EV3, Methodology, Teacher's Note, Classes with students, Construction
- K.Mitov, A.Pavlov

### Why we keep it simple

Usually, we stay away from mathematical details in class. Students usually shut down when they hear about math or math concepts.

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Why we like it

We just introduced dimensional and spatial concepts to the students. Those will develop their spatial thinking over time and we find that a very important subject.

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The actual planes

The top and the bottom of the brick lie in two parallel planes, that correspond to the horizontal orientation of the parts.

The left and the right sides of the brick lie in other two planes that vertical-sideways orientation of parts.

And the front and the back of the brick, where the ports are, correspond to the planes in which the vertical-facing orientation of the parts is.

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Open-ended challenges

If you feel like it and your students have the potential to solve such challenges, you can play with free building and give task like:

- change orientation from horizontal to vertical;

- then change the orientation from front to left;

- then change once again and return to a horizontal orientation.

### English

With the last few resources we kind of entered into the math world where we have dimensions, space, planes and now I would like to do a short teacher notice on how you can use this in class. Your students that are taking this course might be of different age and they might have different knowledge so we'll try to keep the whole material more common without entering into much details about the mathematics but we like these few resources - the last ones because we are trying to describe things like dimensions and how you think about a construction in a dimension, about the construction in space and this will greatly improve the dimensional and the space thinking of the students. We discuss planes. A plane is an abstract mathematical geometry object that we use as an abstract in which we can extend our constructions and on which we can base our thinking. And what we have done is we take the brick and we think of the brick as formed by 4 different planes. A plane on the left, a plane on the right this is from my point of view a plane at the front of the robot, at the back of the robot, the bottom of the robot and at the top of the robot. And these are actually 3 different planes because the bottom and the top you can connect them in one, the left and the right again in one and the front and the rear you can connect them in one again. And with the different Lego parts you can extend the construction and change the direction of the construction in different planes. So, we'll probably think about different tasks for changing the orientation of different parts and changing the planes but you can also experiment with the parts and with the students by giving them different tasks like for example 'Okay, you have the construction in one plane, change this construction so that the other parts are in another plane. Then return to a third plane, then come back to the first and in this way change the different constructions.' It's a nice example, it might get very difficult that's why we are not doing it but depending on the age of the students and their knowledge you can experiment with this.

## Courses and lessons with this Tutorial

This Tutorial is used in the following courses and lessons

### EV3 Phi. Introduction to robotics with LEGO Mindstorms

The things that you will be able to do with your EV3 robot by the end of this course are:

Freely move your robot towards desired target;

Avoid obstacles on the path of your robot using sensors;

Follow lines of any shape;

Detecting and picking up objects of any kind;

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- 220:20
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### Extending without instructions. Basic principles

Tips and common mistakes when connecting two beams together.

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