Producción Científica Profesorado

Connecting dynamic representations of simple mathematical objects with the construction and exploration of conic sections



Reyes Rodríguez, Aarón Víctor

2008

Santos-Trigo, M., Espinosa-Pérez, H., & Reyes-Rodríguez, A. (2008). Connecting Dynamic Representations of Simple Mathematical objects with the Construction and Exploration of Conics. The International Journal of Mathematical Education in Science and Technology, 39(5), 657-669. ISSN 0020739X


Abstract


Different technological artefacts may offer distinct opportunities for students to develop resources and strategies to formulate, comprehend and solve mathematical problems. In particular, the use of dynamic software becomes relevant to assemble geometric configurations that may help students reconstruct and examine mathematical relationships. In this process, students have the opportunity of formulating questions, making conjectures, presenting arguments and communicating results. This article illustrates that simple geometric configurations can be used to generate all conic sections studied in a regular course of analytic geometry. Observing and interpreting loci, searching for mathematical arguments (including empirical reasoning) and presenting results are problem-solving activities that seem to be enhanced with the use of dynamic software. During the development of the activities, students can exhibit a line of thinking in which they constantly reflect on the meaning and connections among mathematical concepts.






Artículos relacionados

USING TECHNOLOGY TO EXPLORE THE IRRATIONALITY OF THE SQUARE ROOT OF PRIMES

WAYS OF REASONING AND TYPES OF PROOFS THAT MATHEMATICS TEACHERS SHOW IN TECHNOLOGY-ENHANCED INSTRUCT...

Enseñanza de la Ley de Grashof con Cabri Geometry: Una Tarea de Aprendizaje

Resolución de problemas y uso de tecnologías digitales en el desarrollo de competencias matemáticas

HIGH SCHOOL TEACHERS COGNITIVE SCHEMES SHOWN IN PROBLEM SOLVING APPROACHES BASED ON THE USE OF TECHN...

Raíces Cuadradas y Uso de Tecnología en el Aprendizaje de Matemáticas

TEACHERS' CONSTRUCTION OF DYNAMIC MATHEMATICAL MODELS BASED ON THE USE OF COMPUTATIONAL TOOLS

Formulando conjeturas matemáticas en actividades de aprendizaje, asistidas con tecnología. Formación...