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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.

Negotiations in Scientific Argumentation: An Interpersonal Analysis

Argumentation enables students to engage in real world scientific practices by rationalizing claims grounded in supporting evidence. Student engagement in scientific argumentation activates the negotiation process by which students develop and defend evidence-based claims. Little is known, however, on the intricate process and potential patterns of negotiation between students during scientific argumentation.

Author/Presenter

Donna Governor

Doug Lombardi

Catie Duffield

Lead Organization(s)
Year
2021
Short Description

Argumentation enables students to engage in real world scientific practices by rationalizing claims grounded in supporting evidence. Student engagement in scientific argumentation activates the negotiation process by which students develop and defend evidence-based claims. Little is known, however, on the intricate process and potential patterns of negotiation between students during scientific argumentation. The present study seeks to fill this gap by exploring how a group of university science education students negotiated when evaluating the relationship between lines of evidence and alternative explanatory models of a phenomena (i.e., climate change).

Exploring Experienced Designers' Strategies in a CAD Learning Environment

Computer-aided design (CAD) simulation environments offer opportunities for students to evaluate, redesign, and visualize engineering design solutions quickly and get feedback. However, the use of CAD simulation tools in precollege settings is relatively rare. This study explores design strategies used by experienced designers in Energy3D, a CAD simulation environment designed for learning settings, to provide insight into supporting students' use of CAD simulation environments in precollege settings.
Author/Presenter

Anne M. McAlister

James P. Bywater

Jennifer L. Chiu

Lead Organization(s)
Year
2021
Short Description

This study explores design strategies used by experienced designers in Energy3D, a computer-aided design (CAD) simulation environment designed for learning settings, to provide insight into supporting students' use of CAD simulation environments in precollege settings.

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.

Competencies and Behaviors Observed When Students Solve Geometry Proof Problems: An Interview Study with Smartpen Technology

This peer-reviewed research journal publication addresses one of the grant goals with respect to how students performed on a set of proof tasks. Student work was documented through the use of smartpen technology which allowed the researchers to "track" students' written work on the proof tasks as well as hear the students' explanations of their thinking about the tasks. Although the two tasks highlighted in this paper were relatively routine triangle congruent proofs, only 7 out of 23 of the sampled students were successful on both proofs.

Author/Presenter

Michelle Cirillo

Jenifer Hummer

Lead Organization(s)
Year
2021
Short Description

This peer-reviewed research journal publication addresses one of the grant goals with respect to how students performed on a set of proof tasks.

Teachers Collaborating in Communities of Mathematics Immersion

Beyond initial college preparation, secondary teachers in the United States have few professional opportunities to do and learn challenging mathematics, especially incollaboration with colleagues. The Mathematics Immersion for Secondary Teachers at Scale program engages sets of teachers in local school sites, connected synchronously and asynchronously to colleagues in other sites, in doing mathematics designed to promote experiences of mathematical immersion, community, and connection to the work of teaching.

Author/Presenter

Daniel J. Heck

Pippa Hoover

Evelyn M. Gordon

Matthew McLeod

Lead Organization(s)
Year
2020
Short Description

The Mathematics Immersion for Secondary Teachers at Scale program engages sets of teachers in local school sites, connected synchronously and asynchronously to colleagues in other sites, in doing mathematics designed to promote experiences of mathematical immersion, community, and connection to the work of teaching. This study of two groups of sites over one year examines fidelity to the program as a model for systematically providing these opportunities, and the extent to which teacher participants experienced immersion, community, and connection in their collaborative work with the course facilitator and their local and distant colleagues.

8 Lesson Plans to Integrate JEI into the Classroom

Includes eight separate lesson plans to help integrate the primary literature into the classroom.

Author/Presenter

JEI Project Team

Lead Organization(s)
Year
2020
Short Description

Includes eight separate lesson plans to help integrate the primary literature into the classroom.

Evolution: DNA and the Unity of Life

"Evolution: DNA and the Unity of Life" is an eight-week, comprehensive curriculum unit that sharply illuminates the underlying role of genetics in evolution by maintaining a conceptual connection to DNA and heredity throughout. Through paper-based and interactive multimedia lessons, the unit aligns with the Next Generation Science Standards (NGSS) by engaging students in questioning, using models, identifying patterns, analyzing skill-level appropriate data from published scientific studies, and constructing evidence-based arguments. The unit’s lessons are organized into five modules.

Author/Presenter

Genetic Science Learning Center

Lead Organization(s)
Year
2020
Short Description

"Evolution: DNA and the Unity of Life" is an eight-week, comprehensive curriculum unit that sharply illuminates the underlying role of genetics in evolution by maintaining a conceptual connection to DNA and heredity throughout.

Science and Engineering Practices Tools

The ASET Science and Engineering Practice (SEP) Tools are designed to guide you to critically analyze how students are meaningfully engaged in the specific components of the SEP that you have selected to focus on for your lesson or unit. These specific components are outlined within the tool for each SEP.

Author/Presenter

ASE-NIC Project Team

Year
2020
Short Description

The ASET Science and Engineering Practice (SEP) Tools are designed to guide you to critically analyze how students are meaningfully engaged in the specific components of the SEP that you have selected to focus on for your lesson or unit.

ASET Toolkit

The ASET Toolkit is a Next Generation Science Standards (NGSS) planning toolkit designed to help science educators plan lessons and units that integrate the 3 dimensions outlined in the Framework (NRC, 2012). The tools are not meant to be used in isolation, but with peers to promote discourse for understanding the goals and aligning instruction for the NGSS.

Author/Presenter

ASE-NIC Project Team

Year
2020
Short Description

The ASET Toolkit is a Next Generation Science Standards (NGSS) planning toolkit designed to help science educators plan lessons and units that integrate the 3 dimensions outlined in the Framework (NRC, 2012).