Mathematics

Computational Participation and the Learner‐Technology Pairing in K‐12 STEM Education

The role of technology in STEM education remains unclear and needs stronger operational definition. In this paper, we explore the theoretical connection between STEM and emergent technologies, with a focus on learner behaviors and the potential of technology-mediated experiences with computational participation (CP) in shaping STEM learning. In particular, by de-emphasizing what technology is used and bringing renewed focus to how the technology is used, we make a case for CP as an epistemological and pedagogical approach that promotes collaborative STEM practices.

Author/Presenter: 
Ramya Sivaraj
Joshua A. Ellis
Jeanna R. Wieselmann
Gillian H. Roehrig
Year: 
2020
Short Description: 

This paper explores the theoretical connection between STEM and emergent technologies, with a focus on learner behaviors and the potential of technology-mediated experiences with computational participation (CP) in shaping STEM learning.

Constructing Goals for Student Learning through Conversation

Learning goals differ from performance goals. We elaborate on their function and importance as the guiding force behind maintaining cognitive rigor during mathematics learning.

Hunt, J. & Stein, M. K. (2020). Constructing goals for student learning through conversation. Mathematics Teacher: Learning and Teaching PK-12, 113(11), 904-909.

Author/Presenter: 
Jessica Hunt
Mary Kay Stein
Year: 
2020
Short Description: 

Learning goals differ from performance goals. This article elaborates on their function and importance as the guiding force behind maintaining cognitive rigor during mathematics learning.

Design, Development, and Initial Testing of Asset-Based Intervention Grounded in Trajectories of Student Fraction Learning

One of the most relentless areas of difficulty in mathematics for children with learning disabilities (LDs) and difficulties is fractions. We report the development and initial testing of an intervention designed to increase access to and advancement in conceptual understanding. Our asset-based theory of change—a tested and confirmed learning trajectory of fraction concepts of students with LDs grounded in student-centered instruction—served as the basis for our multistage scientific design process.

Author/Presenter: 
Jessica H. Hunt
Kristi Martin
Andy Khounmeuang
Juanita Silva
Blain Patterson
Jasmine Welch-Ptak
Year: 
2020
Short Description: 

One of the most relentless areas of difficulty in mathematics for children with learning disabilities (LDs) and difficulties is fractions. This article reports the development and initial testing of an intervention designed to increase access to and advancement in conceptual understanding.

LEAP: Learning through an Early Algebra Progression

Designed to be integrated with any curriculum, each grade level includes 18-20 one-hour lessons to be conducted throughout the school year. Each LEAP lesson lasts about an hour is designed to fit within a typical daily math instructional period.

LEAP early algebra curriculum for Grades K-5. Grades 3 and 4 currently available, with the remaining books for Grades K-2, 5 in press.

Blanton, M., Gardiner, A., Stephens, A., & Knuth, E. (2020). LEAP: Learning through an early algebra progression. Didax: Rowley, MA.

Author/Presenter: 
Maria Blanton
Angela Murphy Gardiner
Ana Stephens
Eric Knuth
Lead Organization(s): 
Year: 
2020
Short Description: 

Designed to be integrated with any curriculum, each grade level includes 18-20 one-hour lessons to be conducted throughout the school year. Each LEAP lesson lasts about an hour is designed to fit within a typical daily math instructional period.

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).

Impacts of Attending an Inclusive STEM High School: Meta-analytImpacts of Attending an Inclusive STEM High School: Meta-analytic Estimates from Five Studiesic Estimates from Five Studies

Background

Author/Presenter: 
Barbara Means
Haiwen Wang
Xin Wei
Viki Young
Emi Iwatani
Lead Organization(s): 
Year: 
2021
Short Description: 

This study uses a meta-analytic approach to investigate the relationship between attending an inclusive STEM high school and a set of high school outcomes known to predict college entry and declaration of a STEM college major.

On the Alignment of Teachers’ Mathematical Content Knowledge Assessments with the Common Core State Standards

Instruments designed to measure teachers’ knowledge for teaching mathematics have been widely used to evaluate the impact of professional development and to investigate the role of teachers’ knowledge in teaching and student learning. These instruments assess a mixture of content knowledge and pedagogical content knowledge. However, little attention has been given to the content alignment between such instruments and curricular standards, particularly in regard to how content knowledge and pedagogical content knowledge items are distributed across mathematical topics.

Author/Presenter: 
Yasemin Copur-Gencturk
Erik Jacobson
Richard Rasiej
Year: 
2021
Short Description: 

This article provides content maps for two widely used teacher assessment instruments in the USA relative to the widely adopted Common Core State Standards. This common reference enables comparisons of content alignment both between the instruments and between parallel forms within each instrument.

Learning to Lead: An Approach to Mathematics Teacher Leader Development

This paper describes a partnership between a university and an urban school district, formed with a goal of preparing mathematics teacher leaders to conduct professional development (PD) at their schools. The university and district partners worked together to achieve the district’s mission of providing every student with high-quality instruction and equitable learning opportunities in mathematics by building the district’s capacity to conduct school-based PD for mathematics teachers.

Author/Presenter: 
Hilda Borko
Janet Carlson
Rebecca Deutscher
Kelly L. Boles
Victoria Delaney
Alissa Fong
Michael Jarry-Shore
James Malamut
Susan Million
Suki Mozenter
Anthony Muro Villa
Lead Organization(s): 
Year: 
2021
Short Description: 

This paper describes a partnership between a university and an urban school district, formed with a goal of preparing mathematics teacher leaders to conduct professional development (PD) at their schools.

Strengthen Mathematics Intervention to Promote Student Success: Suggestions for middle level principals

This article offers six suggestions for middle school principals to implement or strengthen mathematics intervention classes at their schools, based off the findings of the authors' NSF-funded research.

Author/Presenter: 
Amy Brodesky
Emily Fagan
Year: 
2021
Short Description: 

This article offers six suggestions for middle school principals to implement or strengthen mathematics intervention classes at their schools, based off the findings of the authors' NSF-funded research.

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