Proof in School Mathematics: Insights from Psychological Research into Students' Ability for Deductive Reasoning

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Identifying Kinds of Reasoning in Collective Argumentation (2014, background): “In addition, Stylianides and Stylianides (2008) described a difficulty in discerning among deductive, inductive, and analogical reasoning, “the boundaries among which are often faint” (p. 105).”
Proof constructions and evaluations (2009, background): “…the prospective teachers were offered numerous opportunities to construct proofs, to represent them in different ways (using everyday language, algebra, or pictures; see Stylianides & Stylianides, 2008, p. 108, for an example), and to examine the correspondences among different representations.”