Connecting Abstract Algebra to Secondary Mathematics, for Secondary Mathematics Teachers pp 363-381 | Cite as

# Groups to the Rescue: Responding to Situations of Contingency

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## Abstract

We extend the argument on the importance of teachers’ knowledge of advanced mathematics, group theory in particular. We present several examples in which familiarity with properties of groups guided the teacher’s responses in unexpected instructional situations, to which we refer as situations of contingency. We further describe how the situations inspired the design of tasks that capitalize on the applicability of advanced knowledge, and strengthen learners’ connections between different areas of mathematics.

## Keywords

Situations of contingency Group theory Advanced mathematical knowledge## References

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