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What is College-Level Mathematics? A Proposed Framework for Generating Developmental Progressions in Mathematics up to and through College

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RUME 25

2023

Omaha, Nebraska

What is College-Level Mathematics? A Proposed Framework for Generating Developmental Progressions in Mathematics up to and through College

Page: 833

In this theoretical paper, our aim is to start a conversation about how “levels” in mathematics are operationalized and defined, with a specific focus on “college level”. We approach this from the lens of developmental stages, using this to propose an initial framework for describing how learners might progress along a developmental continuum delineated by the kinds of reasoning/justification, generalization/abstraction, and types of conceptions that they hold, rather than by the particular computations learners are able to do, or the kinds of mathematical objects with which learners are engaging.

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