A framework of mathematics inductive reasoning

By C. Christou, Eleni Papageorgiou. 2007

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Cross-lagged relations between task motivation and performance in arithmetic and literacy in kindergarten (2009, background): “Performance in mathematics, in turn, involves many components, such as number knowledge, memory for arithmetical operations, conceptual understanding, reasoning, and procedural knowledge (Christou & Papageorgiou, 2007; Dowker, 1998; Rittle-Johnson & Siegler, 1998).”
The array representation and primary children’s understanding and reasoning in multiplication (2009, background): “Christou and Papageorgiou (2007) described the process of reasoning as thus: “Reasoning, in general, involves inferences that are drawn from principles and from evidence, whereby the individual infers new conclusions or evaluates proposed conclusions from what is already known” (p. 56).”