Mathematics

Race to the Top and Lesson Study Implementation in Florida: District Policy and Leadership for Teacher Professional Development

Lesson study was introduced to school districts in Florida in the United States as part of the federal government’s Race to the Top Program in 2010 to scale improvement in instruction and student learning. However, little is known about what district policy and leadership characteristics are associated with the level of lesson study implementation.

Author/Presenter

Motoko Akiba

Aki Murata

Cassie Howard

Bryan Wilkinson

Judith Fabrega

Lead Organization(s)
Year
2019
Short Description

Based on a mixed methods study of a statewide survey and interviews of district professional development directors, we found that district requirement of lesson study, funding provision, and future sustainability plan were significantly and positively associated with a broader implementation of lesson study within the district. Implications for educational leaders at local educational agencies are discussed.

Resource(s)

Lesson Study Design Features for Supporting Collaborative Teacher Learning

Teacher learning communities have been promoted as a promising approach to promote systemwide improvement of teaching and student learning. However, our knowledge about what design features of collaborative learning processes in teacher groups support teacher learning is still limited.

Author/Presenter

Motoko Akiba

Aki Murata

Cassandra C. Howard

Bryan Wilkinson

Lead Organization(s)
Year
2019
Short Description

Based on a teacher survey of lesson study, this study found that facilitators’ focus on student thinking, the quality of materials, and duration of lesson study were significantly associated with teacher participation in an effective inquiry process, which in turn is associated with perceived positive changes in teacher knowledge, self-efficacy, and expectation.

Integrating STEM into Preschool Education: Designing a Professional Development Model in Diverse Settings

High quality early childhood education and science, technology, engineering, and mathematics (STEM) learning have gained recognition as key levers in the progress toward high quality education for all students. STEM activities can be an effective platform for providing rich learning experiences that are accessible to dual language learners and students from all backgrounds. To do this well, teachers need professional development on how to integrate STEM into preschool curricula, and how to design experiences that support the dual language learners in the classroom.

Author/Presenter

Kimberly Brenneman

Alissa Lange

Irena Nayfeld

Lead Organization(s)
Year
2018
Short Description

In this article, the authors outline the main components and the iterative design process we undertook to ensure that the professional supports are relevant and effective for teachers and children.

Illuminating Fractional Reasoning of Students with Learning Disabilities

Making sense of fractions can be challenging for students with learning disabilities. Dr. Jessica Hunt of North Carolina State University studies how these children think and learn and is developing novel teaching methods that facilitate mathematics learning for this underserved population.

Author/Presenter

Jessica Hunt

Year
2018
Short Description

Dr. Jessica Hunt studies how these children think and learn and is developing novel teaching methods that facilitate mathematics learning for students with learning disabilities.

Resource(s)

Validation: A Burgeoning Methodology for Mathematics Education Scholarship

Validity-related issues are a growing topic within the mathematics education community. Until recently, validation has been treated as something to gather when convenient or is rarely reported in ways that conform to current standards for assessment development. This theoretically-focused proceeding adds to a burgeoning theoretical argument that validation should be considered a methodology within mathematics education scholarship. We connect to design-science research, which is a well-established framework within mathematics education.

Author/Presenter

Jonathan Bostic

Gabriel Matney

Toni Sondergeld

Gregory Stone

Lead Organization(s)
Year
2018
Short Description

The goal for this proceeding is to foster the conversation about validation using examples and to communicate information about validation in ways that are broadly accessible.

Content validity evidence for new problem-solving measures (PSM3, PSM4, and PSM5)

Bostic, J., Matney, G., Sondergeld, T., & Stone, G. (2018, November). Content validity evidence for new problem-solving measures (PSM3, PSM4, and PSM5). In T. Hodges, G. Roy, & A. Tyminski (Eds.), Proceedings for the 40h Annual Meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (pp. 1641). Greenville, SC.

Author/Presenter

Jonathan Bostic

Gabriel Matney

Toni Sondergeld

Gregory Stone

Lead Organization(s)
Year
2018
Short Description

The study’s purpose is to describe content validity evidence related to new problem-solving measures currently under development.

Teaching of the associative property: A natural classroom investigation

In this study we investigate the teaching of the associative property in a natural classroom setting through observation of classroom video of several elementary math classes in a large urban school district. Findings indicate that the associative property was often conflated with the commutative property during teaching. The role of the associative property in many computational tasks remained fully implicit, even after the property had been formally introduced.

Author/Presenter

Eli Barnett

Meixia Ding

Lead Organization(s)
Year
2018
Short Description

In this study we investigate the teaching of the associative property in a natural classroom setting through observation of classroom video of several elementary math classes in a large urban school district.

Transitioning from textbook to classroom instruction in mathematics: The case of an expert Chinese teacher

This study reports how an expert Chinese teacher implements mathematics textbook lessons in enacted instruction. Our video analysis indicates that both textbook and enacted teaching included only one worked example; however, the teacher engaged students in unpacking the example in great depth. Both the textbook and the enacted teaching showed “concreteness fading” in students’ use of representations. However, the Chinese teacher incorporated students’ self-generated representations and facilitated students’ active modeling of quantitative relationships.
Author/Presenter

Chen Wei

Meixia Ding

Lead Organization(s)
Year
2018
Short Description

This study reports how an expert Chinese teacher implements mathematics textbook lessons in enacted instruction.

Resource(s)

Modeling with tape diagrams

Two teachers use a powerful, challenging tool in their Chinese classrooms to build, ensure, and solidify students’ understanding of quantitative relationships.
 
Ding, M. (2018). Modeling with tape diagrams. Teaching Children Mathematics, 25, 158-165. doi: 10.5951/teacchilmath.25.3.0158
Author/Presenter

Meixia Ding

Lead Organization(s)
Year
2018
Short Description

This article describes a tool to build, ensure, and solidify students’ understanding of quantitative relationships.

Resource(s)

Transferring specialized content knowledge to elementary classrooms: Preservice teachers’ learning to teach the associative property

This study explores how preservice teachers (PSTs) transfer the intended specialized content knowledge (SCK) to elementary classrooms. Focusing on the case of the associative property of multiplication, we compared three PSTs’SCK during enacted lessons in fourth grade classrooms with their own learning in professional development (PD) settings. Findings revealed the PSTs’ successes and challenges in unpacking an example task, especially in areas of making connections between concrete and abstract representations and asking deep questions that target quantitative interactions.

Author/Presenter

Meixia Ding

Kayla Heffernan

Lead Organization(s)
Year
2018
Short Description

This study explores how preservice teachers (PSTs) transfer the intended specialized content knowledge (SCK) to elementary classrooms.