@inproceedings{2caafe014f5e4b2ab68ae6d2045e131f,

title = "Integrating synthetic and analytical aspects of geometry through solving problems using a DGS",

abstract = "In this paper we document and analyze the extent to which the systematic use of a Dynamic Geometry System (DGS) in problem solving activities can become a means to integrating the synthetic and analytical aspects of geometry. We analyze some solution paths for a task of geometric construction, implemented by three participants at a problem-solving seminar. We identify limitations of purely analytical approaches as well as the usefulness of integrating analytical and synthetic techniques to construct or justify a solution path. We observed that solving problems of geometric construction without the support offered by digital technology reduces the opportunities that a solver has to interpret algebraic procedures from a geometric perspective and to construct meaning for mathematical ideas and concepts.",

keywords = "Connections, DGS, Geometry, Problem solving, Understanding",

author = "{GUERRERO ORTIZ}, CAROLINA and Aaron Reyes-Rodriguez and Hugo Espinosa-Perez",

year = "2015",

month = jan,

day = "1",

doi = "10.1007/978-3-319-22629-3_23",

language = "English",

isbn = "9783319226286",

series = "Communications in Computer and Information Science",

publisher = "Springer Verlag",

pages = "283--297",

editor = "Tatjana Welzer and Dario Liberona and Lorna Uden",

booktitle = "Learning Technology for Education in Cloud - 4th International Workshop, LTEC 2015, Proceedings",

note = "null ; Conference date: 24-08-2015 Through 28-08-2015",

}