Mathematics

Fraction Activities and Assessments for Conceptual Teaching (FAACT)

The Fraction Activities and Assessments for Conceptual Teaching (FAACT) instructional program is designed to support teachers’ insights into students’ conceptual understandings of fractions. The overall program goal is to foster a deep conceptual understanding of fractions as quantities for students with LD and math difficulty. FAACT is designed from validated learning trajectories, which consist of a learning goal, developmental stages of thinking, and activities designed to explicitly promote the stages of thinking.

Author/Presenter

Jessica Hunt

Alejandra Duarte

Kristi Martin

Juanita Silva

Jasmine Welch-Ptak

Year
2021
Short Description

The Fraction Activities and Assessments for Conceptual Teaching (FAACT) instructional program is designed to support teachers’ insights into students’ conceptual understandings of fractions. The overall program goal is to foster a deep conceptual understanding of fractions as quantities for students with LD and math difficulty. FAACT is designed from validated learning trajectories, which consist of a learning goal, developmental stages of thinking, and activities designed to explicitly promote the stages of thinking. The program also includes prompts for teachers to use to support students’ thinking as they solve problems. Finally, talk moves are included for teachers to use to facilitate conversation among students as they work in small group intervention settings.

Prompting Collaborative and Exploratory Discourse: An Epistemic Network Analysis Study

By encouraging elementary students to work collaboratively, they can gain essential skills such as perspective taking, conflict negotiation, and asking for and receiving assistance. Epistemic Network Analysis (ENA) is an analytic technique that provides an alternative to more typical approaches to analyzing and synthesizing coded dialogue. This study used an easy-to-implement prompting intervention in the context of collaborative (pair) programming with upper elementary students to demonstrate the potential of ENA to understand the impact of the intervention.

Author/Presenter

Jessica Vandenberg, Zarifa Zakaria, Jennifer Tsan, Anna Iwanski, Collin Lynch, Kristy Elizabeth Boyer, and Eric Wiebe

Year
2021
Short Description

This study used an easy-to-implement prompting intervention in the context of collaborative (pair) programming with upper elementary students to demonstrate the potential of Epistemic Network Analysis to understand the impact of the intervention.

Prompting Collaborative and Exploratory Discourse: An Epistemic Network Analysis Study

By encouraging elementary students to work collaboratively, they can gain essential skills such as perspective taking, conflict negotiation, and asking for and receiving assistance. Epistemic Network Analysis (ENA) is an analytic technique that provides an alternative to more typical approaches to analyzing and synthesizing coded dialogue. This study used an easy-to-implement prompting intervention in the context of collaborative (pair) programming with upper elementary students to demonstrate the potential of ENA to understand the impact of the intervention.

Author/Presenter

Jessica Vandenberg, Zarifa Zakaria, Jennifer Tsan, Anna Iwanski, Collin Lynch, Kristy Elizabeth Boyer, and Eric Wiebe

Year
2021
Short Description

This study used an easy-to-implement prompting intervention in the context of collaborative (pair) programming with upper elementary students to demonstrate the potential of Epistemic Network Analysis to understand the impact of the intervention.

Validation of the Equity and Access Rubrics for Mathematics Instruction (VEAR-MI)

Principal Investigator:

This poster describes the work of the Validation of the Equity and Access Rubrics for Mathematics Instruction (VEAR-MI) project, which aims to address the growing need to develop empirically grounded ways of assessing the extent to which the practices that are being outlined in research literature actually serve to support students who are currently underserved and underrepresented in mathematics.

Co-PI(s): Annie Garrison Wilhelm, Southern Methodist University; Temple Walkowiak, North Carolina State University

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The Developmental Emergence and Consequences of Spatial and Math Gender Stereotypes

Principal Investigator:

Attitudes and beliefs about math and space have been found to be predictive of STEM participation and achievement, with females generally reporting lower math and spatial self-concept and higher anxieties related to these domains (e.g., Sokolowski et al., 2019). However, little work to date has explored the acquisition of these attitudes and beliefs, particularly related to the domain of space. This is important, because comparing the acquisition of math and spatial attitudes and beliefs may shed light on potential interventions for improving STEM outcomes.

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Strengthening STEM Teaching in Native American Serving Schools through Long-Term, Culturally Responsive Professional Development

Principal Investigator:

This is a 4-year, level II Exploratory study within the teaching strand of DRK12. The research explores the functioning and impact of a nationally-developed STEM professional development model within the Navajo Nation. Teacher participants represent the entire K-12 grade range and multiple content areas, and they all participate in an innovative STEM-content, culturally responsive, 8-month professional development fellowship. We explore the extent to which culturally responsive principles are evident in their self-authored curriculum units.

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Building a Teacher Knowledge Base for the Implementation of High-Quality Instructional Resources through the Collaborative Investigation of Video Cases (Collaborative Research: Murray and Wilson)

Principal Investigator:

Analyzing Instruction in Mathematics using the TRU framework (AIM-TRU) is a research-practice partnership that is investigating the pressing problem of supporting teachers in increasing their capacity to implement high-quality instructional materials in the classroom with fidelity. Drawing upon the design-based research paradigm, the partnership has worked to co-design, investigate, and iteratively form the AIM-TRU Learning Cycle, which gives teachers the opportunity to understand the materials and how they are used in the classroom through a video-based professional learning cycle.

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Measuring Early Mathematical Reasoning Skills: Developing Tests of Numeric Relational Reasoning and Spatial Reasoning

Principal Investigator:

The MMaRS project is designing classroom assessment resources of numeric relational reasoning and spatial reasoning for students in grades K-2. During the pandemic, SMU researchers worked virtually with teachers and K-2 students to develop resources that are responsive to their needs and accurately elicit their reasoning. This poster will highlight the virtual data collection methods and techniques, including think aloud video interviews with students and prototype co-design work sessions with teachers.

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Mathematical Learning via Architectural Design and Modeling Using E-Rebuild

Principal Investigator:

This poster presentation will introduce the current study findings governing the design and implementation of E-Rebuild, a 3D architecture and math game that aims to promote versatile representation and epistemic practice of mathematics for students in grades 6th-8th. Utilizing the real-time, evidence-centered in-game learning assessment and a game-level editor, E-Rebuild enables not only problem-based mathematical thinking and learning, but also adaptive learner support during gameplay and participatory design of game-based math problems.

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