# Progressions of reasoning in K-12 mathematics

## TL;DR

This paper offers a mathematician's perspective on how K-12 students' reasoning develops, emphasizing activities and progression in abstraction, representation, autonomy, and language, with recommendations for higher education support.

## Contribution

It provides a detailed analysis of reasoning progressions in K-12 mathematics and offers guidance for college faculty to enhance student reasoning development.

## Key findings

- Different reasoning progressions identified
- Emphasis on abstraction and representation
- Recommendations for higher education involvement

## Abstract

We present a research mathematician's perspective on current developments around in K-12 mathematics. We share activities, and highlight the different ways in which students' reasoning can progress, such as amount of abstraction, sophistication of representation, amount of autonomy and use of language. We end with recommendations for college and university faculty to support greater development of student reasoning in K-12.