A constructive approach to the quadrics of revolution using 3D dynamic geometry systems with algebraic capabilities

2016 ◽  
Vol 25 (1) ◽  
pp. 26-38 ◽  
Author(s):  
Eugenio Roanes-Lozano
Keyword(s):  
Dynamic Geometry ◽  
Constructive Approach ◽  
Dynamic Geometry Systems

scholarly journals Reasoning by contradiction in dynamic geometry

2013 ◽  
Vol 7 (2) ◽  
pp. 63-73
Author(s):  
Anna Baccaglini-Frank ◽  
Samuele Antonini ◽  
Allen Leung ◽  
Maria Alessandra Mariotti
Keyword(s):  
Dynamic Geometry ◽  
Proof By Contradiction ◽  
Dynamic Geometry Systems ◽  
Indirect Argument

This paper addresses contributions that dynamic geometry systems (DGSs) may give in reasoning by contradiction in geometry. We present analyses of three excerpts of students’ work and use the notion of pseudo object, elaborated from previous research, to show some specificities of DGS in constructing proof by contradiction. In particular, we support the claim that a DGS can offer guidance in the solver’s development of an indirect argument thanks to the potential it offers of both constructing certain properties robustly, and of helping the solver perceive pseudo objects.Razonamiento por contradicción en geometría dinámicaEste artículo aborda las contribuciones que los sistemas de geometría dinámica (DGSs) pueden dar al razonamiento por contradicción en geometría. Presentamos un análisis de tres extractos del trabajo de estudiantes y el uso de la noción de pseudo-objeto, elaborado a partir de investigaciones anteriores, para mostrar algunas especificidades del DGS en la construcción de pruebas por contradicción. En particular, afirmamos que un DGS puede orientar en el desarrollo de un argumento indirecto gracias a las posibilidades que ofrece tanto para construir sólidamente algunas propiedades como para ayudar a percibir los pseudoobjetos.Handle: http://hdl.handle.net/10481/22368Nº de citas en WOS (2017): 2 (Citas de 2º orden, 4)Nº de citas en SCOPUS (2017): 1 (Citas de 2º orden, 5)

scholarly journals Visualization of Functional Dependences in Dynamic Geometry Systems

2020 ◽  
pp. 93-112
Author(s):  
Vladimir Dubrovskii ◽  
Keyword(s):  
Teaching And Learning ◽  
Dynamic Geometry ◽  
Computer Models ◽  
School Mathematics ◽  
Geometer's Sketchpad ◽  
Geometric Transformations ◽  
Learning Functions ◽  
Dynamic Geometry Systems

We describe various methods of visualization of functions and geometric transformations encountered in school mathematics by means of the dynamic geometry systems such as MathKit, The Geometer’s Sketchpad, and GeoGebra and their usage scenarios in the spirit of modern trends in education. Novel opportunities for teaching and learning functions and their properties based on computer models are discussed. The focus is on specifically computerized interpretations of functions, in particular, the so-called dynagraphs, in which parallel axes of arguments and values are used, and the correspondence given by the function is found when the argument-point moves along its axis.

Adding remote computational capabilities to Dynamic Geometry Systems

2010 ◽  
Vol 80 (6) ◽  
pp. 1177-1184 ◽  
Author(s):  
Jesús Escribano ◽  
Francisco Botana ◽  
Miguel A. Abánades
Keyword(s):  
Dynamic Geometry ◽  
Dynamic Geometry Systems
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