skip to main content
US FlagAn official website of the United States government
dot gov icon
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
https lock icon
Secure .gov websites use HTTPS
A lock ( lock ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.


Title: (Re)defining Developmental Mathematics: A Critical Examination of the Research Literature
Although "developmental math" is widely discussed in higher-education circles, exactly what developmental math encompasses is often underdeveloped. In this theoretical report, we use a sample of highly cited works on developmental math to identify common characterizations of the term "developmental math" in the literature. We then interrogate and problematize each characterization, particularly in terms of whether they serve equity-related goals such as access to college credentials and math learning. We close by proposing an alternative characterization of developmental math and discuss the theoretical implications. We see this as a first step towards conversations about how developmental math could be conceptualized.  more » « less
Award ID(s):
1760491
PAR ID:
10481788
Author(s) / Creator(s):
; ; ;
Editor(s):
Cook, S.; Infante, N.
Publisher / Repository:
RUME, http://sigmaa.maa.org/rume/Site/Proceedings.html
Date Published:
Journal Name:
Proceedings for the 25th Annual Conference on Research in Undergraduate Mathematics Education
Subject(s) / Keyword(s):
developmental math equity time capital postsecondary college level
Format(s):
Medium: X
Location:
Omaha, Nebraska, USA
Sponsoring Org:
National Science Foundation
More Like this
  1. Developmental math preparation is integral in a pre-engineering pathway. This paper analyzes the efforts to improve remedial math passing rates at two tribal colleges in North Dakota participating in a pre-engineering collaborative. Previous work in progress addressed portions of these approaches, but here a more complete set of quantitative data is presented along with further analysis using the theoretical framework of Tribal Critical Race Theory. 
    more » « less
  2. Karunakaran, S. S.; & Higgins, A. (Ed.)
    Although a wide variety of reports on developmental math exist, to date there has not been a large-scale examination of existing work from a math education point of view. Towards this goal, we analyzed 426 reports and peer-reviewed journal articles relating to developmental math published between 2000 and 2020. In report, we quantify the publishers and intended audience, examine the types of outcomes reported on and, where possible, examine the type of developmental math model discussed. We find that over the last decade, less than 20% of reports on developmental math have been aimed at math education audiences. While math education publications more frequently examine math knowledge and student experiences, the overall number of reports, compared to those examining pass rates, is relatively small. 
    more » « less
  3. Peters, S. (Ed.)
    In this theoretical paper we hypothesize a developmental framework for a critical statistical literacy based on our anecdotal observations from working with teachers and empirical evidence from a pilot study. We create the framework by taking Watson and Callingham’s hierarchical framework for statistical literacy and reframing it as a developmental framework. We then combine it with Weiland’s Critical Statistical Literacy framework, which serves as an end goal of the developmental framework. We provide excerpts from a pilot study as a proof of concept and make suggestions for future research. 
    more » « less
  4. We show thatL-packets of toral supercuspidal representations arising from unramified maximal tori ofp-adic groups are realized by Deligne–Lusztig varieties for parahoric subgroups. We prove this by exhibiting a direct comparison between the cohomology of these varieties and algebraic constructions of supercuspidal representations. Our approach is to establish that toral irreducible representations are uniquely determined by the values of their characters on a domain of sufficiently regular elements. This is an analogue of Harish-Chandra’s characterization of real discrete series representations by their characters on regular elements of compact maximal tori, a characterization which Langlands relied on in his construction ofL-packets of these representations. In parallel to the real case, we characterize the members of Kaletha’s toralL-packets by their characters on sufficiently regular elements of elliptic maximal tori. 
    more » « less
  5. Abstract Over the next 10 years, the Vera C. Rubin Observatory (Rubin) will observe ∼10 million active galactic nuclei (AGNs) with a regular and high cadence. During this time, the intensities of most of these AGNs will fluctuate stochastically. Here, we explore the prospects to quantify precisely these fluctuations with Rubin measurements of AGN light curves. To do so, we suppose that each light curve is described by a damped random walk with a given fluctuation amplitude and correlation time. Theoretical arguments and some current measurements suggest that the correlation timescale and fluctuation amplitude for each AGN may be correlated with other observables. We use an expected-information analysis to calculate the precision with which these parameters will be inferred from the measured light curves. We find that the measurements will be so precise as to allow the AGNs to be separated into up to ∼10 different correlation-timescale bins. We then show that if the correlation time varies as some power of the luminosity, the normalization and power-law index of that relation will be determined to ( 10 4 % ) . These results suggest that with Rubin, precisely measured variability parameters will take their place alongside spectroscopy in the detailed characterization of individual AGNs and in the study of AGN population statistics. Analogous analyses will be enabled by other time-domain projects, such as CMB-S4. 
    more » « less