User profiles for T. Recio

Tomas Recio

Other name: T. Recio
Universidad Antonio de Nebrija
Verified email at nebrija.es
Cited by 2684

Automatic discovery of theorems in elementary geometry

T Recio, MP Vélez - Journal of automated reasoning, 1999 - Springer
… Technically speaking, we are considering now that H is not a subset of T , but that a
nonempty Zariski open subset W ⊆ H is contained in T . The important news is that we can still …

Automated theorem proving in GeoGebra: Current achievements

…, P Janičić, Z Kovács, I Petrović, T Recio… - Journal of Automated …, 2015 - Springer
… For example, given a circle c with its center O and an external point P, the student’s task
is to construct a tangent line t from P to c. The teacher knows that the basic idea for the usual …

[HTML][HTML] Teaching from a distance—Math lessons during COVID-19 in Germany and Spain

…, S Jablonski, C Lázaro, M Ludwig, T Recio - Education Sciences, 2021 - mdpi.com
In 2020, Germany and Spain experienced lockdowns of their school systems. This resulted
in a new challenge for learners and teachers: lessons moved from the classroom to the …

Automated reasoning tools with GeoGebra: what are they? What are they good for?

Z Kovács, T Recio, MP Vélez - Mathematics Education in the Age of …, 2022 - Springer
… tool Discover and clicking at point T (equivalently, introducing Discover(T) in the command
line). The pop-up window lists different geometric theorems involving T in different colors, and …

Development of automatic reasoning tools in GeoGebra

M Abánades, F Botana, Z Kovács, T Recio… - … in Computer Algebra, 2016 - dl.acm.org
… constant) can be considered as the proposed thesis T, one that is false for arbitrary positions
of P… true, so that H ∧ H/ ⇒ T. While automatic proving using computer algebra methods has …

[PDF][PDF] Sturm-habicht sequence

L Gonzalez, H Lombardi, T Recio, MF Roy - Proceedings of the ACM …, 1989 - dl.acm.org
… We define Tj=Sj/S t , St being the last non null polynomial in the sequence and prove that
the formulas in proposition 1 are also valid for polynomials Tj . A detailed study of the …

Towards an ecosystem for computer-supported geometric reasoning

Z Kovács, T Recio, PR Richard… - … Education in Science …, 2022 - Taylor & Francis
… As pointed out above, the final objective of the work described in Recio et al. (Citation2019)
was to study how to promote, with the help of ART, new and more effective ways of …

[HTML][HTML] Adaptive, synchronous, and mobile online education: Developing the ASYMPTOTE learning environment

…, MF Mammana, A Moura, DXK Oehler, T Recio… - Mathematics, 2022 - mdpi.com
The COVID-19-induced distance education was perceived as highly challenging by teachers
and students. A cross-national comparison of five European countries identified several …

Sturm—habicht sequences, determinants and real roots of univariate polynomials

L González-Vega, T Recio, H Lombardi… - Quantifier Elimination and …, 1998 - Springer
… To g~t the second equality we only need to decompose the principal minor with determinant
… on a parameter t, we can easily determine the conditions on t for the existence of a real root …

Using automated reasoning tools to explore geometric statements and conjectures

M Hohenwarter, Z Kovács, T Recio - Proof technology in mathematics …, 2019 - Springer
… For example, assume that the translation of the hypotheses H and the thesis T of a given
statement \(\{H\Rightarrow T\}\) is a collection of polynomial equations \(H=\{h_1=0,\ldots ,h_r=0\}…