The integration of cognitive subjects leads to a different perception of mathematics and science education: STEM education. The use of educational robotics in STEM education favors interdisciplinary activities, which, supported by constructivism learning theory, encourage the learner to master his learning, to develop creative thinking and to co-operate in problem solving. It has been found that the theoretical approach in mathematics education has the greatest share of responsibility in creating and maintaining the conditions leading to mathematics failure. The aim of this paper is to investigate whether the robotic activities designed and carried out at our school, within the framework of the European Erasmus+ KA2 program DREAM, can cope with mathematics failure. The research tools used are questionnaires before and after activities for students and teachers. The results include descriptive statistical analysis, interpretation and conclusions.

STEM education, educational robotics, mathematics, DREAM, constructivism learning theory.

This paper proposes the use of the Flipped Classroom (FC) model in Physics lesson combined with STEM education. The flipped classroom shifts the boring and passive for the student theoretical part of teaching from school to home, leaving more time for the teacher at school to apply learner-centered, experimental learning techniques. On this basis, the aim of this paper was to examine the possibilities, the prerequisites and the results of implementing a flipped classroom model as a form of blended learning. In particular, in this study we present the design, implementation and results of an action research for the case of Physics lesson, in the lesson of gravitational acceleration, in our upper secondary school with the use of technology like LAMS and Edpuzzle. Two classes, 49 students, aged 16-17 years and two teachers participated. The research data showed that the pilot application of the flipped classroom method had positive effects on students and teachers and confirmed the significant benefits mentioned in international bibliography.

Flipped Classroom, LAMS, Edpuzzle, STEM, Physical Sciences.

Global Math Project is based on James Tanton’s Exploding Dots idea of understanding numbers by visually representing them with dots and boxes. After understanding the concept, the idea can be extended to basic operations with integer numbers or decimals, but also polynomials, infinite sums and even modern unsolved problems. There is an official “Exploding dots” website, with guiding videos, examples and tasks to be completed. There are 9 “islands” to discover, depending on the user’s level of mathematical knowledge. But the author wanted not only to publish a math website and have teachers and students log in and use it, he wanted to make it global, so he organized “Global Math Week” in October 2017, with an estimated target of 1000000 people involved and with an almost double declared audience. For this year, James Tanton’s team is working to raise the number of scholars learning about Exploding dots to ten million.

Exploding Dots, Global Math Project, Algebra, Arithmetics.

This paper presents an optional math course that may arise from Erasmus + project, “DREAM - Discover Real Everywhere Applications of Maths - 2016-1-RO01-KA201-024518”. The Optional has been proposed to popularize project outputs and increase the number of users of the MOODLE learning platform, relative to DREAM.

ERASMUS+ project, “DREAM - Discover Real Everywhere Applications of Maths”, optional math course, MOODLE learning platform.

The paper introduces the steps of creating and publishing an interactive electronic material for geometry teaching in secondary level, using specific languages such as HTML, XML or CSS, embedded in the ePub format and using specific educational software such as Geogebra. The interactive book contains educational material covering geometry according to the school curriculum and it is dedicated to the students of the 7th grade. It contains interactive applications for each chapter and subchapter, which exemplifies the theory learned, demonstrates the stated theorems and eases the visualisation of properties of the geometric forms.

GeoGebra, e-Pub, e-book, computer-aided mathematics, educational material.

The aim of the present paper is to use the first order mathematical derivative to explain the return trajectory of an object, in our particular case it is about a spaceship belonging to NASA Apollo 13 Space Program. Firstly, the mission overview is presented followed by the mathematical modelling pertaining to this case study. We focus on the events that could follow an unforeseen accident. More precisely, we take into consideration three types of the return trajectory that the spaceship could have followed: a ricochet in outer space, crashing on the Earth’s surface and safe landing on Earth. The numerical simulations are done using GeoGebra software. Finally, conclusions are drawn.

First order derivative, mathematical modelling, applications, object trajectory, numerical simulations.

The Romanian poet Ion Barbu, also known by the nickname Dan Barbilian, was one of the most famous poets and mathematicians of the last century Ion Barbu states that in poetry, as in geometry, he can see "a different symbol for expressing the possible forms of existence." For him, poetry is "the prolongation of geometry", so "remaining in the field of poetry has never abandoned the divinity of geometry". Dan Barbilian's contribution was to analyze how general this procedure is to build a distance and establish a theory of metric spaces fitted with this distance.

Romanian poet Ion Barbu, poets, mathematicians, geometry, theory of metric spaces, distance, geometric model.

The dynamical feature of calculus makes a good reason to use dynamic and interactive methods of representation in teaching and learning calculus. GeoGebra, as a completely dynamic, easy-to-use, and fully connected mix of dynamic geometry software and computer algebra system, can help students to discover and understand the connections between mathematical concepts and their representation. The goal of this paper is to present how Dynamic Geometry Software (DGS) like GeoGebra is useful in teaching calculus concepts at high school and college level.

Dynamic Geometry Software, Discovery learning, GeoGebra, eLearning.

This paper seeks to present the Brain Computer Interfaces (BCI) current development stage and to analyze their progress trends in the near future. Special attention is paid to the BCIs role in improving the compatibility between humans and Artificial Intelligence (AI).

Brain Computer Interface, Artificial Intelligence.