caa a22 4500 463246543 CHVBK 20180405153327.0 cr unu---uuuuu 170326e20071201xx s 000 0 eng 10.1007/s10763-007-9095-6 doi (NATIONALLICENCE)springer-10.1007/s10763-007-9095-6 The Reading Comprehension of Geometric Proofs: The Contribution of Knowledge and Reasoning [Elektronische Daten] [Fou-Lai Lin, Kai-Lin Yang] A model of reading comprehension of geometric proofs (RCGP) has recently been proposed by the authors. This article further investigates students' development of such comprehension based on this model, looking at the relationship between students' reading comprehension and their prior knowledge and logical reasoning. The results show that (1) students' development of RCGP may follow two different learning trajectories; (2) the effect of logical reasoning on RCGP in ninth grade is larger and more complex than in tenth grade; (3) knowledge about geometric figures is not the main factor contributing to RCGP, and geometric knowledge that includes knowledge of figures and of verbal description and translation between the two distinguishes only the level of surface comprehension from the other levels of RCGP; and (4) regression analysis yields a two-variable model that includes logical reasoning and relevant geometric knowledge, and that accounts for 54% and 22% of the variance on RCGP data from the ninth and tenth graders, respectively. National Science Council, Taiwan, 2007 geometric proof nationallicence knowledge nationallicence reading comprehension nationallicence logical reasoning nationallicence Lin Fou-Lai Department of Mathematics, National Taiwan Normal University, 116, Taipei, Taiwan aut Yang Kai-Lin Department of Mathematics, National Changhua University of Education, 500, Changhua, Taiwan aut International Journal of Science and Mathematics Education Springer Netherlands 5/4(2007-12-01), 729-754 1571-0068 5:4<729 2007 5 10763 https://doi.org/10.1007/s10763-007-9095-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10763-007-9095-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Lin Fou-Lai Department of Mathematics, National Taiwan Normal University, 116, Taipei, Taiwan aut NATIONALLICENCE 700 1- Yang Kai-Lin Department of Mathematics, National Changhua University of Education, 500, Changhua, Taiwan aut NATIONALLICENCE 773 0- International Journal of Science and Mathematics Education Springer Netherlands 5/4(2007-12-01), 729-754 1571-0068 5:4<729 2007 5 10763 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer