# Making implicit metalevel rules of the discourse on function explicit topics of reflection in the classroom to foster student learning

## Abstract

Despite the existence of extensive literature on functions, fewer studies used sociocultural views to explore the development of student learning about the concept. This study uses a discursive lens to examine whether an instructional approach that specifically attends to particular metalevel rules in the mathematical discourse on functions supports students’ learning of the concept in a postsecondary mathematics classroom. The findings suggest that such instruction has the potential to foster learning as indicated by the changes in the ways students talked about functions, and their awareness and modifications of the assumptions shaping their thinking about functions.

## Keywords

Functions Teaching experiment Mathematical discourse Metadiscursive rules Student learning Postsecondary education## Notes

### Acknowledgments

I would like to thank the participants and the graduate students David Kamin, Heather Trahan-Martins, Robert Nanna, and James Fanning for their valuable contributions during various stages of this work.

## Supplementary material

## References

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