Mathematics

From Access to Sustainability: Investigating Ways to Foster Sustainable Use of Computational Modeling in K-12 Science Classrooms

Principal Investigator:

Our vision is to make computational modeling a sustained practice in middle school science classrooms. We are working closely with teachers to design a tool and curricula that integrate computational modeling with data practices and enables students to move towards unpacking models and their underlying assumptions. Our research questions involve investigating 1. students modeling trajectories in this environment; 2. how classrooms norms develop over time; and, 3. the interplay between computational modeling and data practices.

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Fostering Equitable Groupwork to Promote Conceptual Mathematics Learning

Principal Investigator:
This project will document how middle grades mathematics students learn equitable collaboration through an ongoing effort to implement groupwork using the model of Complex Instruction. The primary purpose of this study is to describe how 6th-7th grade students learn to collaborate with one another to make sense of mathematics, and how students and their teacher negotiate what constitutes equitable collaboration.
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Target Audience:

Early Emergence of Socioeconomic Disparities in Mathematical Understanding

Principal Investigator:

This poster provides a methodological overview of the Parents Promoting Early Learning Study's online approach to direct assessment of toddler's math skills during the COVID-19 pandemic. Preliminary data will be presented about the reliability and validity of our measures of children's numeracy and spatial skills. Additionally, we will highlight some of the challenges in conducting online assessments with a socioeconomically diverse sample of families during the pandemic.

Co-PI(s): Leanne Elliott and Portia Miller, University of Pittsburgh

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Developing and Validating a Scalable, Classroom-focused Measure of Usable Knowledge for Teaching Mathematics: The Classroom Video Analysis Instrument

Principal Investigator:
This project focuses on developing a scalable, classroom-focused measure of usable mathematics teaching knowledge in three content areas: (a) fractions (grades 4 and 5), (b) ratio and proportions (grades 6 and 7); and (c) variables, expressions, and equations (grades 6 and 7). The project examines a variety of validity evidence for the new items and the reliability of scores to evaluate the overall construct validity.
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Developing and Evaluating Assessments of Problem Solving (Collaborative Research: Bostic and Sondergeld)

Principal Investigator:

Through DEAP, we have created three Problem-Solving Measures (PSMs) that address the Common Core State Math Content for grades 3, 4, 5, and 6 and built a robust validity argument for their use and score interpretations. We have also used vertical equating to link the PSMs with the already functioning middle-school PSMs (grades 6, 7, and 8). We are constructing a DEAP reporting system and investigating how the reporting system formatively informs teachers instructional decisions.

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CAREER: Fraction Activities and Assessments for Conceptual Teaching (FAACT) for Students with Learning Disabilities

Principal Investigator:

This poster describes the outcomes, dissemination, and scaling of project work from "Fraction Activities and Assessment for Conceptual Teaching (FAACT)." We describe the results of a pilot study for FAACT, free curriculum materials, and how the work has been translated to a new game based project, Model Mathematics Education (ModelME). A link to an intro video for ModelMe's game based curriculum will be shared.

Co-PI(s): Matthew Marino and Michelle Taub, University of Central Florida

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CAREER: Designing and Enacting Mathematically Captivating Learning Experiences for High School Mathematics

Principal Investigator:

This project explores how secondary mathematics teachers can design mathematically captivating learning experiences using the mathematical story framework to improve aesthetic opportunities with complex mathematical content. This study has developed and tested 28 MCLEs. By comparing captivating lessons with those that students describe as dull or boring, we have identified multiple characteristics of captivating mathematics lessons. Also, in addition to raising student interest, MCLEs positively impact teacher and student questioning.

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Anchoring High School Students in Real-Life Issues that Integrate STEM Content and Literacy

Principal Investigator:

Through the integration of STEM content and literacy, this project studies the ways teachers implement literacy practices in the STEM classroom. Teachers will facilitate instruction using scenarios that present students with STEM-related issues, presented as scenarios. After reading and engaging with math and science content, students write a source-based argument in which they state a claim, support the claim with evidence from the texts, and explain the multiple perspectives on the issue.

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Theory to Practice: Prospective Mathematics Teachers’ Recontextualizing Discourses Surrounding Collective Argumentation

Teacher education programs have a critical role in supporting prospective teachers’ connections between theory and practice. In this study, we examined three prospective secondary mathematics teachers’ discourses regarding collective argumentation during and after a unit of instruction addressing collective argumentation and ways they recontextualized their on-campus coursework (theory) into their student teaching (practice) as demonstrated by their support for students’ mathematical arguments during student teaching.
Author/Presenter

Carlos Nicolas Gomez Marchant

Hyejin Park

Yuling Zhuang

Jonathan K. Foster

AnnaMarie Conner

Year
2021
Short Description

Teacher education programs have a critical role in supporting prospective teachers’ connections between theory and practice. In this study, authors examined three prospective secondary mathematics teachers’ discourses regarding collective argumentation during and after a unit of instruction addressing collective argumentation and ways they recontextualized their on-campus coursework (theory) into their student teaching (practice) as demonstrated by their support for students’ mathematical arguments during student teaching.

Backward Transfer Influences from Quadratic Functions Instruction on Students’ Prior Ways of Covariational Reasoning about Linear Functions

The study reported in this article examined the ways in which new mathematics learning influences students’ prior ways of reasoning. We conceptualize this kind of influence as a form of transfer of learning called backward transfer. The focus of our study was on students’ covariational reasoning about linear functions before and after they participated in a multi-lesson instructional unit on quadratic functions. The subjects were 57 students from two authentic algebra classrooms at two local high schools.

Author/Presenter

Charles Hohensee

Sara Gartland

Laura Willoughby

Matthew Melville

Lead Organization(s)
Year
2021
Short Description

The study reported in this article examined the ways in which new mathematics learning influences students’ prior ways of reasoning. Authors conceptualize this kind of influence as a form of transfer of learning called backward transfer. The focus of the study was on students’ covariational reasoning about linear functions before and after they participated in a multi-lesson instructional unit on quadratic functions.