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Anne Quinn

The paper discusses technology that can help students master four triangle centers -- circumcenter, incenter, orthocenter, and centroid. The technologies are a collection of web-based apps and dynamic geometry software. Through use of these technologies, multiple examples can be considered, which can lead students to generalizations about triangle centers.

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Jennifer Ruef

Mathematics Teacher Educators (MTEs) help preservice teachers in transitioning from students to teachers of mathematics. They support PSTs in shifting what they notice and envision to align with the collective vision encoded in the AMTE and NCTM standards. This study analyzes drawings and descriptions completed at the beginning and end of a one-year teacher education program—snapshots depicting optimized visions of teaching and learning mathematics. This study analyzed drawings-and-descriptions by cohort and by participants. The findings suggest that the task can be used as formative assessment to inform supports for specific PSTs such as choosing a cooperating teacher or coursework that challenges problematic beliefs. It can also be used as summative assessment to inform revision of coursework for the next cohort.

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Marian Dingle

When we consider the school experience from the student perspective, we are open to change our practices to embody the very principles in which we believe.

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The Asked & Answered department shares excerpts from discussion threads on the online MyNCTM community. In this issue, featured threads highlight responses to members' questions related to fact fluency and art-math integration in elementary school, number talks with middle school students, and classroom-tested contexts for introducing students to systems of equations.

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Katie Makar, Helen M. Doerr and Robert delMas

Statistical modeling allows students to construct and improve representations based on their experiences. A model development sequence is used with fifth graders to build models for comparing two distributions of the flight durations of paper helicopters. Emphasis is on the role of the teacher and using models as evidence.

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Jennifer M. Tobias

In this article I describe my teaching experiences and how my classroom and role as the teacher has changed throughout my career.

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Kelly Hagan and Cheng-Yao Lin

This is the final GPS document for February 2020

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Jennifer N. Lovett, Allison W. McCulloch, Blain A. Patterson and Patrick S. Martin

In this manuscript we describe a lesson that utilizes an applet we designed to help students develop a conceptual understanding of the concept of function. We describe how removing algebraic representations and focusing on a real world context can support students' development of these conceptual understandings of the function concept.

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Kristen N. Bieda and Megan Staples

This article highlights the role of students' engagement in mathematical justification in supporting classrooms that provide equitable access to mathematics and develop students' agency for doing mathematics.

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Shashi Kant Pandey and Jacqueline Shaffer

A poem based on the mathematical properties of a triangle supports evidence in the literature about the prose and poetic presentation of concepts as an attractive way to teach and learn mathematics.