Elementary

Prospective K-8 Teachers’ Noticing of Student Justifications and Generalizations in the Context of Analyzing Written Artifacts and Video-Records

Background

Author/Presenter: 
Marta T. Magiera
Vecihi S. Zambak
Lead Organization(s): 
Year: 
2021
Short Description: 

This paper contributes to current discussions about supporting prospective teachers (PSTs) in developing skills of noticing students’ mathematical thinking. The results document that without providing any intentional support for PSTs’ noticing skills, PSTs are more deliberate to focus on mathematically significant aspects of student thinking while analyzing written artifacts of student work compared to video-records.

Length Measurement in the Early Years: Teaching and Learning with Learning Trajectories

Measurement is a critical component of mathematics education, but research on the learning and teaching of measurement is limited. We previously introduced, refined, and validated a developmental progression – the cognitive core of a learning trajectory – for length measurement in the early years. A complete learning trajectory includes instructional activities and pedagogical strategies, correlated with each level of the developmental progression. This study evaluated a portion of our learning trajectory, focusing on the instructional component.

Author/Presenter: 
Julie Sarama
Douglas H. Clements
Jeffrey E. Barrett
Craig J. Cullen
Aaron Hudyma
Yuly Vanegas
Lead Organization(s): 
Year: 
2021
Short Description: 

This study evaluated a portion of our learning trajectory, focusing on the instructional component. We found that the instruction was successful in promoting a progression from one level to the next for 40% of the children, with others developing positive new behaviors (but not sufficient to progress to a new level).

Students and Teachers Mobilizing Mathematical Concepts through Reciprocal Noticing

This article elaborates a theoretical, methodological, and analytical approach intended to highlight the materiality and reciprocity of noticing in mathematics classrooms. Drawing from highly resonant concepts from materialism and Indigenous Knowledges—two perspectives that researchers rarely bring into dialogue—this alternative approach explores the reciprocal, material, and more-than-human nature of noticing. By focusing on the role of movement in noticing, the approach discusses the indivisibility of sensing and making sense as students and teachers mobilize mathematical concepts.

Author/Presenter: 
Higinio Dominguez
Lead Organization(s): 
Year: 
2021
Short Description: 

This article elaborates a theoretical, methodological, and analytical approach intended to highlight the materiality and reciprocity of noticing in mathematics classrooms.

Using Authentic Video Clips of Classroom Instruction to Capture Teachers’ Moment-to-Moment Perceiving as Knowledge-Filtered Noticing

In this article, we report on the development of a novel, video-based measure of teachers’ moment-to-moment noticing as knowledge-filtered perception. We developed items to capture teachers’ perception of similarity of their own teaching to the teaching shown in three short video clips of authentic classroom instruction. We describe the item design and relate teachers’ moment-to-moment noticing to their reflective noticing as measured by judgements of similarity teachers provided after viewing each video.

Author/Presenter: 
Nicole B. Kersting
James E. Smith
Beau Vezino
Lead Organization(s): 
Year: 
2021
Short Description: 

This article reports on the development of a novel, video-based measure of teachers’ moment-to-moment noticing as knowledge-filtered perception.

Shifts in Elementary Teachers' Pedagogical Reasoning: Studying Teacher Learning in an Online Graduate Program in Engineering Education

Background
Elementary educators are increasingly asked to teach engineering design, motivating study of how they learn to teach this discipline. In particular, there is a need to examine how teachers reason about pedagogical situations and dilemmas in engineering—how they draw on their disciplinary understandings, attention to students' thinking, and pedagogical practices to support students' learning.

Author/Presenter: 
Jessica Watkins
Merredith Portsmore
Rebecca D. Swanson
Year: 
2020
Short Description: 

The purpose of this qualitative study was to examine elementary teachers' pedagogical reasoning in an online graduate program. Authors asked: What stances do teachers take toward learning and teaching engineering design? How do these stances shift over the course of the program?

Engineering Mindsets and Learning Outcomes in Elementary School

Background
Students may exhibit growth mindsets, where intelligence is seen as malleable and failures prompt more effort and new approaches, or fixed mindsets, where intelligence is seen as immutable and failures indicate lack of intelligence. One's mindset in general may be different from that for a particular domain such as engineering. Having a growth mindset predicts more positive learning outcomes.

Author/Presenter: 
Pamela S. Lottero‐Perdue
Cathy P. Lachapelle
Year: 
2020
Short Description: 

This article describes the general and engineering mindsets of students in fifth‐grade U.S. classrooms (ages 10 and 11) who received engineering instruction. It explores how general mindsets may predict engineering learning outcomes and how engineering mindsets may be predicted by general mindset and other variables.

Design Considerations in Multisite Randomized Trials Probing Moderated Treatment Effects Journal of Educational and Behavioral Statistics

Past research has demonstrated that treatment effects frequently vary across sites (e.g., schools) and that such variation can be explained by site-level or individual-level variables (e.g., school size or gender). The purpose of this study is to develop a statistical framework and tools for the effective and efficient design of multisite randomized trials (MRTs) probing moderated treatment effects.
Author/Presenter: 
Nianbo Dong
Benjamin Kelcey
Jessaca Spybrook
Year: 
2020
Short Description: 

The purpose of this study is to develop a statistical framework and tools for the effective and efficient design of multisite randomized trials (MRTs) probing moderated treatment effects.

The Role of Balance Scales in Supporting Productive Thinking about Equations Among Diverse Learners

This research focuses on ways in which balance scales mediate students’ relational understandings of the equal sign. Participants included 21 Kindergarten–Grade 2 students who took part in an early algebra classroom intervention focused in part on developing a relational understanding of the equal sign through the use of balance scales. Students participated in pre-, mid- and post-intervention interviews in which they were asked to evaluate true-false equations and solve open number sentences. Students often worked with balance scales while solving these tasks.

Author/Presenter: 
Ana Stephens
Yewon Sung
Susanne Strachota
Ranza Veltri Torres
Karisma Morton
Angela Murphy Gardiner
Maria Blanton
Eric Knuth
Rena Stroud
Year: 
2020
Short Description: 

This research focuses on ways in which balance scales mediate students’ relational understandings of the equal sign.

Efficacy of a First-Grade Mathematics Intervention on Measurement and Data Analysis

Well-designed mathematics instruction focused on concepts and problem-solving skills associated with measurement and data analysis can build a foundational understanding for more advanced mathematics. This study investigated the efficacy of the Precision Mathematics Level 1 (PM-L1) intervention, a Tier 2 print- and technology-based mathematics intervention designed to increase first-grade students’ conceptual understanding and problem-solving skills around the areas of measurement and data analysis.

Author/Presenter: 
Christian T. Doabler
Ben Clarke
Derek Kosty
Jessica E. Turtura
Allison R. Firestone
Keith Smolkowski
Kathleen Jungjohann
Tasia L. Brafford
Nancy J. Nelson
Marah Sutherland
Hank Fien
Steven A. Maddox
Lead Organization(s): 
Year: 
2019
Short Description: 

This study investigated the efficacy of the Precision Mathematics Level 1 (PM-L1) intervention, a Tier 2 print- and technology-based mathematics intervention designed to increase first-grade students’ conceptual understanding and problem-solving skills around the areas of measurement and data analysis.

Applying the Curriculum Research Framework in the Design and Development of a Technology-Based Tier 2 Mathematics Intervention

Mathematics interventions aimed at accelerating the learning of students with mathematics difficulties (MD) should be developed through a design science approach such as the Curriculum Research Framework (CRF). Precision Mathematics is a National Science Foundation-funded DRK–12 Design and Development project focused on building mathematical proficiency with the critical concepts and problem-solving skills of early measurement and data analysis among first- and second-grade students with MD.

Author/Presenter: 
Christian T. Doabler
Ben Clarke
Allison R. Firestone
Jessica E. Turtura
Kathy J. Jungjohann
Tasia L. Brafford
Marah Sutherland
Nancy J. Nelson
Hank Fien
Lead Organization(s): 
Year: 
2019
Short Description: 

The production of the first-grade Precision Mathematics intervention was grounded in the Curriculum Research Framework (CRF), which involves a series of iterative cycles of development, implementation field-testing, analysis, and revision. Results from initial implementation studies suggest that teachers and students can feasibly implement the first-grade Precision Mathematics intervention in authentic education settings. Challenges faced in developing technology-based mathematics interventions are discussed.

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