In this online workshop, we will explore many of the tools in GeoGebra 3D Graphing Calculator app and will use these tools to create various constructions. Through this exploratory process, participants will discover how they, in turn, can have their students build within this powerful app so as to naturally lead to many “aha!” moments throughout various curricula (middle-school geometry through multivariable calculus). In addition, we will explore means through which we can have our middle, secondary, and undergraduate students regularly work within a 3D-context to mathematically build models of every-day, real-world objects. We will then use Augmented Reality (AR) to take a few of these constructions and then (virtually) project them in our environment. Through this, participants will be able to virtually explore these constructions (from the inside and out) and test their accuracy.

This talk is about problem solving and programming in GeoGebra, Python and WolframAlpha as programming is becoming a part on mathematics education in the Nordic countries. In my new book I have described about 200 mathematical problems or situations and I have compared how the three different programming environments handle these problems/situations. I am looking forward to sharing some of the programming experiences with you.

GeoGebra offers a set of powerful math tools that are used by millions of students and teachers worldwide to teach mathematics and science. In this talk, I will present and discuss current updates of the GeoGebra applications and demo some of the exciting new possibilities they bring for learning and teaching mathematics. Furthermore, the GeoGebra website and its latest developments will be presented. Finally, an outlook on future developments of the GeoGebra Apps and website will be given.

New digital tools and environments in many ways affect students´ everyday life. But how do they change the process of learning and doing mathematics in schools? Has anything in mathematics education conceptually changed at all?

Researches are arguing that new pedagogy - pedagogy that corresponds to the digital era, is not just the collection of new methods and practices that teachers are using in the classroom. They claim that it has three major components: -new partnerships between teachers and students; -new type of learning tasks; and -digital technologies for creating something qualitatively different in the classroom.

In my talk, I am going to consider two last components of new pedagogy, and I will focus on assessing mathematics outcomes in the digital era. Also, during the presentation, the new assessment model for Estonian mathematics´ basic school e-test with examples will be presented.