Mathematics

A Pleasure to Measure! Tasks for Teaching Measurement in the Elementary Grades

Measurement is paired with data as a fundamental domain of K–grade 5 mathematics in the Common Core State Standards, and it is one of five core content areas in NCTM’s Principles and Standards for School Mathematics. This book presents lively activities that dovetail with standards and research-based stages of development to support students’ steady growth of understanding of measurement.

Author/Presenter

Jeffrey Barrett

Craig Cullen

Diana Behnke

David Klanderman

Lead Organization(s)
Year
2017
Short Description

A Pleasure to Measure will enable you to select activities quickly, easily, and confidently to target the content that your students are ready to learn. You’ll find everything that you need in the six E’s that the authors detail for each activity—Essentials, Engage, Explore, Expect, Extend, and Enrich.

Meet me in Azul’s room: Designing a virtual field placement for learning to teach mathematics

Amidon, J., Chazan, D., Grosser-Clarkson, D., & Fleming, E. (2017). Meet me in Azul’s room: Designing a virtual field placement for learning to teach mathematics. Mathematics Teacher Educator, 6(1), 52–66. DOI10.5951/mathteaceduc.6.1.0052

Author/Presenter

Joel Amidon

Daniel Chazan

Dana Grosser-Clarkson

Elizabeth Fleming

Year
2017
Short Description

This article explores the ways in which a teacher educator uses digital technology to create a virtual field placement to blur the boundaries between a university methods course and teacher candidates' field placements.

Commentary: Meet Me in Azul’s Room: Designing a Virtual Field Placement for Learning to Teach Mathematics

Author/Presenter

Joel Amidon

Daniel Chazan

Dana Grosser-Clarkson

Elizabeth Fleming

Lead Organization(s)
Year
2017
Short Description

This article explores the ways in which a teacher educator uses digital technology to create a virtual field placement to blur the boundaries between a university methods course and teacher candidates’ field placements.

A Student Asks About (-5)!

A first-year algebra student’s curiosity about factorials of negative numbers became a starting point for an extended discovery lesson into territory not usually explored in secondary school mathematics.
Author/Presenter

E. Paul Goldenberg

Cynthia J. Carter

Year
2017
Short Description

A first-year algebra student’s curiosity about factorials of negative numbers became a starting point for an extended discovery lesson into territory not usually explored in secondary school mathematics.

What is “repeated reasoning" in MP8?

To make sense of the Common Core State Standards mathematical practice (MP) 8, this article illustrates what “repeated reasoning” means, why looking for and expressing regularity in it is such a valuable mathematical habit of mind, and how that differs from analyzing structure (MP 7) and from finding patterns in numerical results. 

Author/Presenter

E. Paul Goldenberg

Cynthia J. Carter

June Mark

Johannah Nikula

Deborah B. Spencer

Year
2017
Short Description

To make sense of the Common Core State Standards mathematical practice (MP) 8, this article illustrates what “repeated reasoning” means, why looking for and expressing regularity in it is such a valuable mathematical habit of mind, and how that differs from analyzing structure (MP 7) and from finding patterns in numerical results.

Resource(s)

Emerging Design Principles for Online and Blended Teacher Professional Development in K-12 STEM Education

2017 CADRE Fellows

Between February and September 2017, awardees representing 11 projects participated in a series of activities designed to elicit and form consensus around emerging design principles for online and blended teacher PD programs in K–12 STEM education. The resulting principles are organized and presented around three themes: 

Author/Presenter

CADRE

Year
2017
Short Description

Following the launch of Spotlight on Online & Blended Professional Development (PD), CADRE convened awardees representing 11 DRK-12 projects in a series of activities designed to elicit and form consensus around emerging design principles for online and blended teacher PD programs. The resulting principles are presented in a new report.

Resource(s)

Supporting Sense-making with Mathematical Bet Lines

This article presents an instructional strategy called Mathematical Bet Lines that was designed to promote classroom discourse and sense-making for all students, in particular English Language Learners.  Introduced in Project AIM (All Included in Mathematics), a 40 hour professional development program focused promoting meaningful mathematical discourse, the Mathematical Bet Lines strategy supports comprehension of story problems by having students articulate to themselves and others their predictions regarding what is happening in the problem as it is revealed one sentence at a time.  With

Author/Presenter

Lara Dick

Tracy Foote White

Aaron Trocki

Paola Sztajn

Daniel Heck

Kate Herrema

Year
2016
Short Description

This article presents an instructional strategy called Mathematical Bet Lines that was designed to promote classroom discourse and sense-making for all students, in particular English Language Learners.

Resource(s)

Launching a Discourse-rich Mathematics Lesson

Facilitating meaningful mathematical discourse is dependent on the launch of the lesson where teachers prepare their students to work on the task.

Author/Presenter

Aaron Trocki

Christine Taylor

Tina Starling

Paola Sztajn

Daniel Heck

Year
2015
Short Description

This article discusses the use of the Think Aloud strategy at the beginning of a lesson to model to students both the type of thinking that develops conceptual understanding, as well as how to share one’s thinking.

Mathematical Argumentation in Middle School—The What, Why, and How

Get them talking: Your formula for bringing math concepts to life!

Author/Presenter

Jennifer Knudsen

Harriette Stevens

Teresa Lara-Meloy

Hee-Joon Kim

Nicole Shechtman

Lead Organization(s)
Year
2017
Short Description

This guide delivers all the tools you need to get serious about mathematical argumentation and bring well-planned, well-constructed mathematical discourse to life in your classroom.

A synthesis of mathematics writing: Assessments, interventions, and surveys

Mathematics standards in the United States describe communication as an essential part of mathematics. One outlet for communication is writing. To understand the mathematics writing of students, we conducted a synthesis to evaluate empirical research about mathematics writing. We identified 29 studies that included a mathematics-writing assessment, intervention, or survey for students in 1st through 12th grade. All studies were published between 1991 and 2015.

Author/Presenter

Sarah Powell

Michael Hebert

Jeremy Cohen

Tutita Casa

Janine Firmender

Year
2017
Short Description

To understand the mathematics writing of students, we conducted a synthesis to evaluate empirical research about mathematics writing. We identified 29 studies that included a mathematics-writing assessment, intervention, or survey for students in 1st through 12th grade. All studies were published between 1991 and 2015.