Principles to Actions Modules Layout

  • Effective Teaching Practices

  • The Case of Mr. Harris and the Band Concert
    Overview of Effective Teaching Practices – Elementary  (EXAMPLE)
    During this session you will discuss NCTM's publication, Principles to Actions: Ensuring Mathematical Success for All, read and analyze a short case of a teacher, and discuss the eight teaching practices and relate them to the case.

    The Case of Millie Brooks and the Half of a Whole Task

    Facilitating Meaningful Discourse & Pose Purposeful Questions – Elementary  (EXAMPLE)
    During this session you will solve and discuss the Half of a Whole Task and watch a video clip of a teacher facilitating small group work using this task. You will then, discuss ways the teacher supports her students' learning of mathematics and connect specific teacher actions seen in the video to the Effective Mathematics Teaching Practices.

    The Case of Victoria Bill and the Bubble Gum Task

    Construct Viable Arguments and Critique the Reasoning of Others & Use Appropriate Tools Strategically – Elementary 
    During this session you will solve and discuss the Half of a Whole Task, watch a video clip of a third grade class engaged in a whole discussion of a fraction task, discuss ways the teacher supports her students' learning of mathematics, and relate teacher actions in the video to the Effective Mathematics Teaching Practices.

    The Case of Katherine Casey and the Multiplication Strings Task
    Look for and Make Use of Structure & Look for and Express Regularity in Repeated Reasoning – Elementary 

    Description During this session you will watch a video clip of a fourth grade class engaged in a whole discussion of a series of related multiplication equations, discuss what the teacher does to support the students' learning of mathematics, and relate teacher actions in the video to the Effective Mathematics Teaching Practices.

    The Case of Jennifer DiBrienza and the Addition Strings Task
    Building Fluency and Understanding & Promoting Reasoning and Problem Solving - Elementary
    During this session you will watch a video clip of a class engaged in a whole class discussion on an addition string, discuss what the teacher does to support the students' learning of mathematics, and relate teacher actions in the video to the effective mathematics teaching practices.

    The Case of Amanda Smith and the Donuts Task

    Connecting Representations & Pose Purposeful Questions – Elementary
    During this session you will solve and discuss the donuts task and then watch video clips of a class working on the task. After viewing the video you will relate the teacher and student actions to the effective mathematics teaching practices and consider how you might apply specific mathematics teaching practices to your work.

    The Case of Mr. Donnelly and the Candy Jar Task
    Overview of Effective Teaching Practices – Middle Grades (EXAMPLE)
    During this session you will discuss NCTM's publication, Principles to Actions: Ensuring Mathematical Success for All, read and analyze a short case of a teacher, and discuss the eight teaching practices and relate them to the case.

    The Case of Peter Dubno and the Counting Cubes Task

    Use and Connect Mathematical Representations & Facilitate Meaningful Mathematical Discourse - Middle Grades  (EXAMPLE)
    During this session you will solve and discuss counting cubes task, watch the video clip and discuss what the teacher does to support his students' engagement in and understanding of mathematics, and discuss the effective mathematics teaching practices of use and connect mathematical representations and facilitate meaningful mathematical discourse.

    The Case of Elizabeth Brovey and the Calling Plans 2 Task
    Pose Purposeful Questions – Middle Grades
    During this session you will solve and discuss the calling plans task parts 1 and 2, watch two video clips and discuss what the teacher does to support her students engagement in and understanding of mathematics, and discuss the effective mathematics teaching practice of pose purposeful questions.

    The Case of Elizabeth Brovey and the Two Storage Tanks Task

    Use and Connect Mathematical Representations, Pose Purposeful Questions, & Elicit and Use Evidence of Student Thinking - Middle Grades
    During this session you will solve and discuss the Two Storage Tanks Task, watch the video clip of a teacher facilitating small groupwork using this task, discuss ways the teacher supports her students' learning of mathematics, and connect specific teacher actions seen in the video clip to to the Effective Mathematics Teaching Practices.

    The Case of Barbara Peterson, Patrica Rossman and the Hexagon Task
    Supporting Productive Struggle – Middle Grades
    During this session you will solve and discuss the hexagon task, watch a video clip and discuss what the teacher does to support her students' engagement in and understanding mathematics, and discuss how the effective mathematics teaching practice of promote productive struggle connects to other effective mathematics teaching practices through comparing the video clip and a narrative case.

    The Case of Kelly Polosky and the Triangle Task

    Build Procedural Fluency from Conceptual Understanding - Middle Grades
    During this session you will solve and discuss the triangle task, watch video clips and discuss what the teacher does to support her students' engagement in and understanding of mathematics, and discuss the effective mathematics teaching practice procedural fluency from conceptual understanding.

    The Case of Ms. Culver and the Pay it Forward Task
    Overview of Effective Teaching Practices – High School  (EXAMPLE)
    During this session you will discuss NCTM's publication, Principles to Actions: Ensuring Mathematical Success for All, read and analyze a short case of a teacher, and discuss the eight teaching practices and relate them to the case.

    The Case of Jeffrey Ziegler and the S-Pattern Task
    Supporting Productive Struggle – High School  (EXAMPLE)
    During this session you will solve and discuss the S-Pattern Task and watch video clips and discuss what the teacher does to support his students' engagement in and understanding of mathematics. You will then discuss the effective mathematics teaching practice of support productive struggle.

    The Case of Debra Campbell and the Building a New Playground Task

    Supporting Productive Struggle & Posing Purposeful Questions- High School
    During this session you will solve and discuss two versions of the Building a New Playground Task, watch the video clip and discuss what the teacher does to support her students' engagement in and understanding of mathematics, and discuss the effective mathematics teaching practices of supporting productive struggle and posing purposeful questions.

    The Case of Barbara Lynch and the Investigate the Graphs of Sine Waves Task
    Elicit and Use Evidence of Student Thinking - High School

    During this session you will solve and discuss the homework and Sine task, read the case study and discuss what the teacher does to support her students engagement in and understanding of mathematics, and discuss the effective mathematics teaching practice eliciting and using evidence of student thinking.

    The Case of Shalunda Shackelford and the Bike and Truck Task
    Facilitating Meaningful Discourse & Pose Purposeful Questions – High School
    During this session you will solve and discuss the Bike and Truck Task, watch the video clips and discuss what the teacher does to support her students' engagement in and understanding of mathematics. Using the same video clips, you will also talk through the effective mathematics teaching practice of facilitating meaningful mathematical discourse.

    The Case of Wobberson Torchon and the Calling Plans 1 Task

    Use and Connect Mathematical Representations & Pose Purposeful Questions - High School
    During this session you solve and discuss the Calling Plans Task, watch the video clip and discuss what the teacher does to support her students' engagement in and understanding of mathematics, and discuss the effective mathematics teaching practices of pose purposeful questions and using and connecting multiple representations.

  • Guiding Principles

  • Equitable Pedagogy

    Equity and Access - All grades
    Participants will consider productive and unproductive beliefs with an emphasis on facilitating all students’ development of mathematical processes and practices. Participants will be challenged to consider beliefs that hinder students’ mathematical growth. The mathematics teaching practices from Principles to Actions will be discussed as a strategy for promoting growth mindsets in students and teachers.

    Using Identity and Agency to Frame Access and Equity
    Equity and Access - All grades
    Vignettes and the voices of students, teachers, and other school personnel are used to develop identity (beliefs about oneself, mathematics, etc.) and agency (the presentation of one’s identity) as a framework for defining and addressing obstacles.  Effective Teaching Practices support the cultivation of a positive identity and agency.