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Teaching logical reasoning

  • Cambridge Mathematics
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  • Teaching logical reasoning
  • Espresso
  • 50: Covariational reasoning
  • 49: Teaching and learning equivalence
  • 48: Early development of functional thinking
  • 47: Developing concepts of pattern
  • 46: Building and breaking 2D and 3D shapes
  • 45: Teaching logical reasoning
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30 November 2022

An infographic showing four types of logical reasoning: analogical, abductive, inductive and deductive

What does research suggest about the teaching and learning of early logical reasoning?

  • Logic and logical reasoning are based on asking what is true and false and are central to many subjects including language, science, computer science and mathematics
  • Logical reasoning is the basis for student understanding of concepts such as counting, equivalence and classifying
  • Logical reasoning is making any argument using facts and connections, not just formal reasoning and proof; it can be analogical, abductive, inductive or deductive
  • Understanding the difference between logic and belief and the way they interact supports students to develop logical reasoning
  • Asking young students to complete idea generation tasks may help them to reason logically as it promotes creative and divergent thinking
  • Exploring “all, none, some” type tasks and logic puzzles/games, as well as using both formal and visual representations, helps students to develop logical reasoning
  • Giving students logical reasoning tasks with imaginary or nonsensical rules (false premises) helps them to develop abstract reasoning
  • Possible tasks to support the development of early logical reasoning include “all x have y” types (implication), “knight and knave” puzzles, and exploring the use of “always” and “never” statements
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