Mathematics

Transferability of Teacher Noticing

Numerous studies have reported positive outcomes of noticing interventions on the development of prospective mathematics teachers’ (PMTs) noticing of a range of important aspects of classroom instruction. Less is known, however, about whether noticing skills that are developed during an intervention transfer to support PMTs’ in-the-moment noticing during their own teaching practice.

Author/Presenter: 
Shari L. Stockero
Lead Organization(s): 
Year: 
2020
Short Description: 

This study compared prospective mathematics teachers' (PMTs) noticing while teaching a lesson during their student teaching internship of PMTs who participated in a noticing intervention to those who did not participate in the intervention to determine whether the two groups of PMTs noticed different aspects of instruction.

An Emerging Community in Online Mathematics Teacher Professional Development: An Interactional Perspective

Online collaborative and content-focused professional development (PD) is becoming an increasingly important setting for supporting mathematics teachers’ professional learning. The purpose of this study was to better understand the process by which a community emerges in such a PD setting by examining how the cohesiveness of 21 mathematics teachers’ social network evolves and associated shifts in the quality of mathematics teachers’ mathematical discourse.

Author/Presenter: 
Anthony Matranga
Jason Silverman
Year: 
2020
Short Description: 

The purpose of this study was to better understand the process by which a community emerges in such a PD setting by examining how the cohesiveness of 21 mathematics teachers’ social network evolves and associated shifts in the quality of mathematics teachers’ mathematical discourse.

Association of Mathematics Teacher Educators 2021 Annual AMTE Conference; Orlando, FL - VIRTUAL

Event Date: 
Thu, 02/18/2021 - 12:00pm to Sat, 02/20/2021 - 5:00pm
Associated Dates and Deadlines: 
Event Type: 
Discipline / Topic: 

Exploring Differences in Practicing Teachers’ Knowledge Use in a Dynamic and Static Proportional Task

Teachers’ knowledge of proportional reasoning is important, particularly in the middle grades in the USA. This exploratory study investigated 32 teachers’ use of knowledge resources in two mathematically similar tasks (one a paper and pencil task, the other a dynamic task) around proportional reasoning. The two tasks invoked different knowledge resources by the same teachers. Results suggest questions to the field around how we access or invoke teacher knowledge and the need to more purposefully explore the potential benefits of using a dynamic task to invoke knowledge resources.

Author/Presenter: 
Rachael Eriksen Brown
Chandra Hawley Orrill
Jinsook Park
Year: 
2020
Short Description: 

This exploratory study investigated 32 teachers’ use of knowledge resources in two mathematically similar tasks (one a paper and pencil task, the other a dynamic task) around proportional reasoning.

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.

Teachers’ Abilities to Make Sense of Variable Parts Reasoning

The purpose of this study was to investigate how teachers understand one specific aspect of proportional reasoning. We were interested in understanding the extent to which practicing teachers were able to make sense of reasoning that involved the fixed number of variable-sized parts perspective. We used two items, drawn from a larger dataset, that encouraged teachers to reason about proportional situations using a variable parts perspective.

Author/Presenter: 
Chandra Hawley Orrill
John E. Millett
Year: 
2020
Short Description: 

The purpose of this study was to investigate how teachers understand one specific aspect of proportional reasoning - the extent to which practicing teachers were able to make sense of reasoning that involved the fixed number of variable-sized parts perspective.

Different Ways to Implement Innovative Teaching Approaches at Scale

Maass, K., Cobb, P., Krainer, K., & Potari, D. (2019). Different ways to implement innovative teaching approaches at scale. Educational Studies in Mathematics, 102, 303-318.

Author/Presenter: 
Katja Maass
Paul Cobb
Konrad Krainer
Despina Potari
Lead Organization(s): 
Year: 
2019
Short Description: 

This article discusses the implementation of innovative teaching approaches in mathematics.

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.

Engaging Students with Non-routine Geometry Proof Tasks

Students who earned high marks during the proof semester of a geometry course were interviewed to understand what high-achieving students actually took away from the treatment of proof in geometry. The findings suggest that students had turned proving into a rote task, whereby they expected to mark a diagram and prove two triangles congruent.

Author/Presenter: 
Michelle Cirillo
Lead Organization(s): 
Year: 
2018
Short Description: 

Students who earned high marks during the proof semester of a geometry course were interviewed to understand what high-achieving students actually took away from the treatment of proof in geometry. The findings suggest that students had turned proving into a rote task, whereby they expected to mark a diagram and prove two triangles congruent.

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