https://doi.org/10.1177/0731948719840774
Learning Disability Quarterly
1–14
© Hammill Institute on Disabilities 2019
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DOI: 10.1177/0731948719840774
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Original Research
Ensuring fidelity of implementation is critical to an inter-
vention’s success (O’Donnell, 2008). Fidelity of implemen-
tation can be measured during one or more stages of
intervention development, including (a) development and
pilot testing, (b) efficacy trials, (c) research at scale, and (d)
application in real-world settings (Smolkowski & Crawford,
this issue). This article explores implementation fidelity as
related to Stage 1, the design and initial testing of an inter-
vention (Onken, Blaine, & Battjes, 1997). Questions about
implementation fidelity at Stage 1 concern themselves with
the what, why, and how of an intervention (Hulleman &
Cordray, 2009). As an example, Doabler et al. (2015) illus-
trate this relationship between theory (why), curriculum
(what), and practice (how), in their paper on the design and
development of a Tier II mathematics intervention. In con-
trast, implementation fidelity questions asked during other
stages of the research process investigate “how much” (e.g.,
dosage) and “how well” (e.g., integrity; see, for example,
Harn, Parisi, & Stoolmiller, 2013; Woodbridge et al., 2014).
Answers to all of these questions are important to assuring
an intervention’s fidelity of implementation as a necessary
component in an evidence-based intervention (Fixsen,
Naoom, Blase, Friedman, & Wallace, 2005).
Stage 1 activities undertaken during the design and devel-
opment of a Tier II fraction-based mathematics intervention
(the fractions intervention) are the topic of this article. The
intervention focused on developing the fraction number
sense (Siegler, Fazio, Bailey, & Zhou, 2013), or fraction-
sense, of students with learning disabilities (LD) or difficul-
ties in fifth and sixth grade. Specifically, the intervention
prompted students to explore and explain number patterns to
better understand fraction magnitude and demonstrate this
understanding by comparing and ordering fractions of dif-
ferent sizes through use of traditional paper and pencil tools
or various technology-based supports such as audio record-
ing, keyboarding, and drawing tools (all of which were
intended to support students’ conceptual understanding).
Four steps undertaken during the design and develop-
ment of the fractions intervention are detailed in this article:
(a) articulation of a logic model influenced by theoretical
frames of reference, (b) delineation of the components
included in the intervention hypothesized to improve
840774LDQ XX X 10.1177/0731948719840774Learning Disability QuarterlyCrawford et al.
research-article 2019
1
Texas Christian University, Fort Worth, USA
2
University of California, Berkeley, USA
3
University of Nebraska–Lincoln, USA
4
Tarleton State University, Fort Worth, Texas, USA
Corresponding Author:
Lindy Crawford, ANSERS Institute, Texas Christian University, TCU Box
297900, Fort Worth, TX 76129, USA.
Email: lindy.crawford@tcu.edu
Implementation Fidelity and the Design
of a Fractions Intervention
Lindy Crawford, PhD
1
, Barbara Freeman, EdD
2
, Jacqueline
Huscroft-D’Angelo, PhD
3
, Sarah Quebec Fuentes, EdD
1
,
and Kristina N. Higgins, PhD
4
Abstract
Interventions are implemented with greater fidelity when their core intent is made explicit. The core intent of this
intervention was to increase access to higher order learning opportunities for students with learning disabilities or
difficulties in mathematics through use of research and practice from the fields of special education and mathematics
education. Four steps undertaken in the development of a Tier II fraction-based mathematics intervention designed to
improve the conceptual understanding of students with learning disabilities or difficulties are described in this article:
(a) articulation of a logic model, (b) delineation of intervention components, (c) analysis of reliability data related to
implementation fidelity, and (d) pilot testing to measure implementation fidelity and student outcomes. Results of the pilot
study demonstrated no significant effect for the component of technology; however, significant pre–post differences were
found in the performance of all groups on their conceptual understanding of fractions as numbers.
Keywords
implementation fidelity, fractions, intervention, learning disabilities, technology