
06448889
j
2015d.00276
Gallardo Romero, Jes\'us
Gonz\'alez Mar\'{\i}, Jos\'e Luis
On understanding and interpretation in mathematics: an integrative overview.
Philos. Math. Educ. J. 26, 13 p., electronic only (2011).
2011
Professor Paul Ernest, University of Exeter, Graduate School of Education, Exeter
EN
D20
C30
C40
mathematics and philosophy
mathematical understanding
learning
comprehension
research
state of the art
cognitive ability, mathematical ability
cognitive psychology
educational diagnosis
http://people.exeter.ac.uk/PErnest/pome26/Romero%20and%20Mari%20%20On%20Understanding%20and%20Interpretation%20in%20Mathematics.doc
From the text: For decades, understanding has been considered as a basic theme of interest and a research object in mathematics education. In this theoretical overview paper we present a integrative framework for organizing the diversity of results that emerge from the different studies on mathematical understanding and its interpretation. The proposal is applied onto a representation of relevant literature that has arise in the area over the last two decades. With this overview we seek to provide an useful reference for: (a) advancing towards a better insight of understanding in mathematics, (b) establishing the specific limitations and open questions that demarcate the boundaries of understanding and interpretation in mathematics, and (c) orienting its future study using a shared base of consolidated knowledge.