Heather C. Hill’s research while affiliated with University of Cyprus and other places

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Publications (68)


Customizing Professional Development Opportunities to Teachers’ Needs: Results from a Latent Profile Analysis
  • Article

January 2024

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52 Reads

The Elementary School Journal

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Heather C. Hill

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A released MTEL item intended to capture teachers’ aCCK of exponents
A released MTEL item intended to capture teachers’ aCCK knowledge of patterns
A released item gauging teachers’ SCK
A released item gauging teachers’ KCT
Different CFA models a single-factor model (M1), b two-factor model (M2) (aCCK: advanced common content knowledge, SCK/KCT: specialized content knowledge and knowledge of content and teaching)
Mathematical content knowledge and knowledge for teaching: exploring their distinguishability and contribution to student learning
  • Article
  • Publisher preview available

December 2020

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772 Reads

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51 Citations

Journal of Mathematics Teacher Education

During the last three decades, scholars have proposed several conceptual structures to represent teacher knowledge. A common denominator in this work is the assumption that disciplinary knowledge and the knowledge needed for teaching are distinct. However, empirical findings on the distinguishability of these two knowledge components, and their relationship with student outcomes, are mixed. In this replication and extension study, we explore these issues, drawing on evidence from a multi-year study of over 200 fourth- and fifth-grade US teachers. Exploratory and confirmatory factor analyses of these data suggested a single dimension for teacher knowledge. Value-added models predicting student test outcomes on both state tests and a test with cognitively challenging tasks revealed that teacher knowledge positively predicts student achievement gains. We consider the implications of these findings for teacher selection and education.

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Professional development that improves STEM outcomes

February 2020

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761 Reads

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24 Citations

Phi Delta Kappan

How should teachers spend their STEM-focused professional learning time? To answer this question, Heather Hill, Kathleen Lynch, Kathryn Gonzalez, and Cynthia Pollard analyzed a recent wave of rigorous new studies of STEM instructional improvement programs. They found that programs work best when focused on building knowledge teachers can use during instruction. This includes knowledge of the curriculum materials they will use, knowledge of content, and knowledge of how students learn that content. They argue that such learning opportunities improve teachers’ professional knowledge and skill, potentially by supporting teachers in making more informed in-the-moment instructional decisions.



Using Implementation Fidelity to Aid in Interpreting Program Impacts: A Brief Review

December 2019

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95 Reads

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60 Citations

Educational Researcher

Poor program implementation constitutes one explanation for null results in trials of educational interventions. For this reason, researchers often collect data about implementation fidelity when conducting such trials. In this article, we document whether and how researchers report and measure program fidelity in recent cluster-randomized trials. We then create two measures—one describing the level of fidelity reported by authors and another describing whether the study reports null results—and examine the correspondence between the two. We also explore whether fidelity is influenced by study size, type of fidelity measured and reported, and features of the intervention. We find that as expected, fidelity level relates to student outcomes; we also find that the presence of new curriculum materials positively predicts fidelity level.


FIGURE 1. Density of scores across administrations. Note. Density plots for teacher mathematical knowledge for teaching (MKT) scores in 2005 and 2016. Scores are reported in standard deviation units on the 2005 scale. Teacher MKT in 2005 (solid line) and 2016 (dotted line).
FIGURE 2. Teacher years of experience by MKT score, 2005 and 2016, binned in 2-year increments.
FIGURE 3. Teacher MKT scores, by student population. Note. Average mathematical knowledge for teaching (MKT) score by percent of students receiving free or reduced-priced lunch (FRPL) within the school. FRPL information obtained from the Common Core of Data. Scores are reported in standard deviation units on the 2005 scale.
Scores by Certification Type (2016)
Scores by School Demographics
Mathematics Teacher and Curriculum Quality, 2005 and 2016

October 2019

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643 Reads

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2 Citations

AERA Open

Efforts to improve teachers’ knowledge and to change the nature of curriculum materials have dominated mathematics reforms since the late 1990s. In this article, we compared middle school teachers’ mathematical knowledge for teaching (MKT) and curriculum use between 2005 and 2016 to assess progress toward these key goals. We found teachers’ MKT increased an amount equal to the average teacher in the 2005 sample improving five percentile points. However, No Child Left Behind’s attempts to encourage mathematics degrees in this population do not explain this increase, as teachers were less likely in 2016 than in 2005 to possess such a degree. Instead, our data are consistent with schools hiring more knowledgeable individuals during the Great Recession. Between surveys, the strength of the association between teacher MKT and student demographic characteristics decreased, although equity gaps still persist. Finally, our data suggest a modest movement toward standards-based curriculum materials over this period.


Strengthening STEM Instruction in Schools: Learning From Research

October 2019

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399 Reads

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2 Citations

Policy Insights from the Behavioral and Brain Sciences

More than half of U.S. children fail to meet proficiency standards in mathematics and science in fourth grade. Teacher professional development and curriculum improvement are two of the primary levers that school leaders and policymakers use to improve children’s science, technology, engineering and mathematics (STEM) learning, yet until recently, the evidence base for understanding their effectiveness was relatively thin. In recent years, a wealth of rigorous new studies using experimental designs have investigated whether and how STEM instructional improvement programs work. This article highlights contemporary research on how to improve classroom instruction and subsequent student learning in STEM. Instructional improvement programs that feature curriculum integration, teacher collaboration, content knowledge, pedagogical content knowledge, and how students learn all link to stronger student achievement outcomes. We discuss implications for policy and practice.


Building a Knowledge Base on Research-Practice Partnerships: Introduction to the Special Topic Collection

October 2019

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187 Reads

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22 Citations

AERA Open

Research-practice partnerships are collaborative research arrangements that seek to transform the relations among researchers, educators, and communities. There is a wide diversity in partnership forms and research methods used in them. In addition, there remain questions about the value of partnerships, given the time and resources they require to build and maintain. In this introduction to the special topic collection on research-practice partnerships, we provide an overview of how the collection adds to our knowledge of the dynamics and outcomes of such partnerships and identify areas for future study.


FIGURE 1. PRISMA study screening flowchart.
Results of Estimating an Unconditional Meta- Regression Model With RVE Dependent variable: Effect size (Hedges's g)
RVE Results Including Professional Development Foci as Moderators Dependent variable: Effect size (Hedges's g)
RVE Results Including Professional Development Activities as Moderators Dependent variable: Effect size (Hedges's g)
RVE Results Including Other Research Design Elements as Moderators
Strengthening the Research Base That Informs STEM Instructional Improvement Efforts: A Meta-Analysis

June 2019

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351 Reads

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97 Citations

Educational Evaluation and Policy Analysis

We present results from a meta-analysis of 95 experimental and quasi-experimental pre-K–12 science, technology, engineering, and mathematics (STEM) professional development and curriculum programs, seeking to understand what content, activities, and formats relate to stronger student outcomes. Across rigorously conducted studies, we found an average weighted impact estimate of +0.21 standard deviations. Programs saw stronger outcomes when they helped teachers learn to use curriculum materials; focused on improving teachers’ content knowledge, pedagogical content knowledge, and/or understanding of how students learn; incorporated summer workshops; and included teacher meetings to troubleshoot and discuss classroom implementation. We discuss implications for policy and practice.


Citations (66)


... However, German-speaking educational researchers have recently critiqued the generalization of these STEM-based findings to other subjects, e.g., [12,13], advocating for an investigation into which aspects of teaching and learning are genuinely subject-specific and where broader generalizations can be applied [11,14]. A comparison of international studies analyzing subject-specific professional content knowledge-primarily in mathematics-has revealed divergent findings, attributed to cultural influences and structural differences in education and teacher-training systems [15]. For example, the United States lacks a formalized discipline of subject-specific didactics within teacher training, a component firmly embedded in German teacher education [15]. ...

Reference:

Too Busy to Read, Too Important to Ignore: How Teachers Manage to Read Work-Related Literature in Their Day-to-Day Work
Das Professionswissen von Mathematiklehrkräften in der Grundschule
  • Citing Chapter
  • July 2023

... 156). More recently, Hill et al. (2018) pointed to insufficient systematic inquiry of null results in the impact of teacher PD on student outcomes. They presented a framework consisting of possible explanations for why a PD program fails to impact the field: (1) lack of will, which refers to selective implementation of PD materials, perhaps due to confidence in existing practices; (2) sense-making, where teachers' interpretations of the PD differ significantly from the intent of the PD providers; (3) insufficient resources available for teachers to implement the suggested policy, where resources can pertain to knowledge of policy, content knowledge, and curriculum materials; (4) organizational barriers, such as district or school requirements that conflict with, or limit, the implementation of the PD ideas; (5) difficulty in implementing ambitious instructional practices, i.e., instruction that uses more complex tasks, targeted at more student intellectual engagement; (6) weak instructional press on teachers by the PD providers, often due to a need to avoid criticism so that teachers feel safe; and (7) lack of fit of the PD with the teachers' needs, for instance, when the PD aims to create a new vision for instruction, but fails to support teachers with the pre-requisite skills essential for fulfilling such a vision. ...

Dividing by Zero: Exploring Null Results in a Mathematics Professional Development Program
  • Citing Article
  • June 2018

Teachers College Record

... To ensure students have appropriate opportunity to learn mathematics, they must have both the time to engage in mathematical concepts and highquality mathematics instruction (Tate, 1995(Tate, , 2001. The mathematics education field conceptualizes high-quality mathematics instruction-often referred to as ambitious mathematics teaching-as practices that address conceptual rigor as well as procedural fluency and that incorporate strategies such as facilitation of mathematical discourse, collaborative learning, and cognitively challenging tasks (Choppin et al., 2020;Hill et al., 2018;Lampert, 1992;Munter, 2014;National Mathematics Advisory Panel, 2008;Smith et al., 2005). As such, increased calls for ambitious mathematics instruction represent a shift from traditional math instructional practices that rely on direct instruction and rote computation (National Council of Teachers of Mathematics [NCTM], 2014b;Smith et al., 2005;Stigler & Hiebert, 2009) to a more conceptually driven approach to teaching math that includes discourse-rich, collaborative, and student-focused learning experiences. ...

Learning Lessons from Instruction: Descriptive Results from an Observational Study of Urban Elementary Classrooms

Teachers College Record

... Various scholars have assessed MKT to study teachers' mathematical knowledge, quality of instruction, and teachers' pedagogy across various mathematical contents (Herbst & Kosko 2014;Kazemi & Rafiepour, 2018;Khakasa & Berger, 2016). Results of these studies indicate several factors are associated with teachers' MKT, including, but not limited to, years of experience (Herbst & Kosko 2014), grade level taught Jakobsen et al., 2011), and undergraduate coursework (Hill, 2010). ...

The Nature and Predictors of Elementary Teachers' Mathematical Knowledge for Teaching
  • Citing Article
  • November 2010

Journal for Research in Mathematics Education

... It would be futile for integrated STEM subjects to be introduced in HIL in the absence of qualified staff and relevant curricula. Many STEM researchers have recommended the enhancement of knowledge, experiences, mentorships and background preparation for teachers to be adequately equipped to effectively impart integrated STEM education (Hill et al., 2020). ...

Professional development that improves STEM outcomes

Phi Delta Kappan

... First, developing and maintaining a STEM identity as a school requires a shared vision built on a culture of intellectualism, inclusion, and collaboration (Tofel-Grehl & Callahan, 2014), and this can vary significantly based on instruction, collaboration (Bassok et al., 2016;Diamond & Spillane, 2004;Marx & Harris, 2006), and planning time limitations (Goodpaster et al., 2012;Herro & Quigley, 2017;Lesseig et al., 2016;Margot & Kettler, 2019). These differences extend to pedagogical content knowledge (Shulman, 1986;Zahorik, 1996) and resources (Hsu et al., 2011;Litke & Hill, 2020;Park et al., 2017) as school leaders consider professional learning around inquiry-based teaching as well as materials and physical space considerations. Second, course offerings and student research opportunities, often tied to funding, limit exemplary STEM learning and vary by school level (Peters-Burton, Pfeiffer et al., 2010;Tofel-Grehl & Callahan, 2014). ...

Exploring Central Tendencies: The Teaching of Data and Statistics in Elementary Mathematics Classrooms
  • Citing Article
  • January 2020

The Elementary School Journal

... To help teachers align their practices with the requirements of ambitious instruction, various professional development programs have been designed. Increasingly, instructional coaching 1 programs have become a way of providing intensive one-on-one support to teachers as research has found that coaching can create positive changes in mathematics teachers' knowledge, beliefs, instructional practices, and consequently student achievement (e.g., Auletto & Stein, 2020;Campbell & Malkus, 2011;Chapin, 1994;Kraft & Hill, 2020;Yopp et al., 2019). ...

Developing Ambitious Mathematics Instruction Through Web-Based Coaching: A Randomized Field Trial

American Educational Research Journal

... If the conventional condition outperformed the IVR condition (which only included a virtual lecture and no discussion), it would be incorrect to conclude that providing students with a live lecture is more effective than providing them with a virtual lecture. These types of design versus implementation discrepancies can lead to incorrect claims about the effectiveness of one condition over another (Hill & Erickson, 2019;Stains & Vickrey, 2017). ...

Using Implementation Fidelity to Aid in Interpreting Program Impacts: A Brief Review
  • Citing Article
  • December 2019

Educational Researcher

... RPP Effectiveness. Evaluating the effectiveness of RPPs in supporting evidence engagement is challenging due to variation in types of RPPs, the lack of explicit, measurable and consistent outputs and the long timelines connecting RPP activities to intended outcomes (Penuel and Hill, 2019). A recent evidence review suggests that RPPs can facilitate organizational changes in districts (Welsh, 2021). ...

Building a Knowledge Base on Research-Practice Partnerships: Introduction to the Special Topic Collection

AERA Open

... The second part was the investigation of influencing factors, including exploratory learning (four questions), self-efficacy (four questions) [19][20], curriculum quality (three questions) [21], internet word-of-mouth (three questions) [22], perceived usefulness (four questions) [23] and perceived ease of use (four questions) [24]. ...

Mathematics Teacher and Curriculum Quality, 2005 and 2016

AERA Open