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Direct linkKanellos, Ioannis; Nardi, Elena; Biza, Irene – Mathematical Thinking and Learning: An International Journal, 2018
In this paper, we propose an enriched and extended application of Harel and Sowder's proof schemes taxonomy that can be used as a diagnostic tool for characterizing secondary students' emergent learning of proof and proving. We illustrate this application in the analysis of data collected from 85 Year 9 (age 14-15) secondary students. We capture…
Descriptors: Secondary School Students, Secondary School Mathematics, Validity, Mathematical Logic
Rott, Benjamin; Leuders, Timo – Mathematical Thinking and Learning: An International Journal, 2016
Personal epistemological beliefs are considered to play an important role for processes of learning and teaching. However, research on personal epistemology is confronted with theoretical issues as there is conflicting evidence regarding the structure, stability, and context-dependence of epistemological beliefs. We give evidence how theoretical…
Descriptors: Epistemology, Knowledge Level, Teacher Education Programs, Qualitative Research
Llinares, Salvador; Clemente, Francisco – Mathematical Thinking and Learning: An International Journal, 2014
The goal of this study is to identify the characteristics of pre-service primary teachers' configural reasoning, understood as the relationships between concepts and figures set to solve geometrical proof problems. Ninety-seven primary teachers were asked to solve two geometrical proof problems in which a geometrical figure was provided. The…
Descriptors: Preservice Teachers, Elementary School Teachers, Elementary School Mathematics, Validity
