Principles to Actions:Ensuring Mathematical Success for All

Dr. DeAnn Huinker ~ huinker@uwm.edu

University of Wisconsin-Milwaukee

New major

NCTM

Publication!!

Session Overview

Background and Rationale

Guiding Principles

Effective Mathematics Teaching Practices

Next Professional Steps and Actions

Session Learning Goal

We are learning to:

Consider how we, as leaders, can use Principles to Actions to support improvement toward excellent mathematics programs and effective teaching and learning of mathematics.

Background

Principles to Actions

What it will take to turn the opportunity of the Common Core State Standards for Mathematics and other rigorous standards and expectations

for student learning into a reality in every classroom, school, and district?

NCTM undertook a major initiative to define and describe the principles and actions, including specific teaching practices, that are essential for a high-quality mathematics education for all students.

Principles to Actions Writing Team

Robert Q. Berry III, University of Virginia, Charlottesville, VA

Frederick L. Dillon, Strongsville City Schools, Ohio

Matthew R. Larson Lincoln Public Schools, Nebraska

Miriam A. Leiva University of North Carolina at Charlotte

W. Gary Martin, Auburn University, Auburn, Alabama

Margaret S. Smith, University of Pittsburgh, Pennsylvania

Steven Leinwand American Institutes for Research, D.C.

Daniel J. Brahier Bowling Green State University, Ohio

DeAnn Huinker University of Wisconsin–Milwaukee

Principles to Actions

Offers guidance to teachers, mathematics coaches, administrators,

parents, and policymakers.

Principles to Actions

Identifies 8 research-based, core essential Mathematics Teaching Practices (MTP).

Describes conditions, structures, policies that support the MTP.

Identifies obstacles, unproductive and productive beliefs, that must be understood, acknowledged, addressed by all stakeholders.

Builds on NCTM’s standards and supports implementation of the Common Core.

Encourages teachers to engage students in mathematical thinking, reasoning, and sense making.

Aims to significantly strengthen teaching and learning in order to attain higher levels of math achievement for all students.

NCTM Website: Principles to Actions

http://www.nctm.org/principlestoactions/

Executive Summary (pdf)

News release  

Reflection Guide (pdf)(Tasks/questions, Connections to other MTP, Applications to practice)

... and more resources coming (e.g., toolkit, slides ...

ebook: $4.99 ($3.99 for NCTM members)

GuidingPrinciples

Teaching and Learning

Access and Equity

Curriculum

Tools and Technology

Assessment

Professionalism

GuidingPrinciples for School Mathematics

Read Turn and talk

Key messages

for teachers

Key messages

for administrators

Guiding Principles

Turn to the list on the inside front cover.

Key Messages?

TeachingandLearningPrinciple

Guiding Principle: Teaching and Learning

An excellent mathematics program requires effective teaching that engages students in meaningful learning through individual and collaborative experiences that promote their ability to make sense of mathematical ideas and reason mathematically.

Obstacles

Unproductive BeliefsProductive Beliefs

“It is important to note that these beliefs should not be viewed as good or bad. Instead, beliefs should be understood as unproductive when they hinder the implementation of effective instructional practice or limit student access to important mathematics content and practices.”

(NCTM, 2014, p. 11)

Read the “Beliefs” table on

page 11Turn and talk

Share your reactions

Beliefs about Teaching and Learning Mathematics

NCTM’s Core Set of Effective Mathematics Teaching Practices

Effective teaching is the non-negotiable core that ensures that all students learn mathematics at high levels.

Overarching Message

Effective teaching requires a range of professional structures, supports, and actions at state, district, school, and classroom levels.

Visualize for a moment, the best math lesson

you ever taught.

“Best Lesson Ever”

What made it so successful?

What were you the teacher doing?

What were students doing?

What mathematics was being learned?

Establish math goals to focus

learningImplement tasks that promote

reasoning & problem solving

Use and connect

mathematical representations

Facilitate meaningful

mathematicaldiscoursePose

purposefulquestions

Support productive struggle in learning

mathematics

Build procedural fluency from conceptual

understanding

Elicit & use evidence of student thinking

MathematicsTeachingPractices

Student Learning of mathematics . . .

“depends fundamentally on what happens inside the classroom as teachers and learners interact over the curriculum.”

(Ball & Forzani, 2011, p. 17)

Action: To work together as a profession toward implementation of a common set of high-leverage practices that underlie effective teaching ......

“those practices at the heart of the work of teaching that are most likely to affect student learning.”

(Ball & Forzani, 2010, p. 45)

Read, then turn and talk.

Aha!! Yes!!

Identifya MTP

as an area of strength.

Identify a MTP

that needs attention.

Mathematics Teaching Practices (MTP)

Turn to the MTP list on the inside back cover.

Establish math goals to focus

learningImplement tasks that promote

reasoning & problem solving

Use and connect

mathematical representations

Facilitate meaningful

mathematicaldiscoursePose

purposefulquestions

Support productive struggle in learning

mathematics

Build procedural fluency from conceptual

understanding

Elicit & use evidence of student thinking

MathematicsTeachingPractices

Mathematics Teaching Practices

Statement of the MTP

Discussion of the research evidence

Classroom illustration

Teacher and student actions

MTP1. Establish math goals to focus learning.

Effective teaching of mathematics establishes clear goals for the mathematics that students are learning, situates goals within learning progressions, and uses the goals to guide instructional decisions.

Daro, Mosher, & Corcoran, 2011; Hattie, 2009; Hiebert, Morris, Berk, & Jensen., 2007; Wiliam, 2011

Pages 12-16: Skim the discussion and illustration.Read “Teacher and Student” actions (p. 16); consider the potential of these tables for your work as leaders.

MTP1. Establish math goals to focus learning.

What are teachers doing? What are students doing?

Establishing clear goals that articulate the mathematics that students are learning as a result of instruction in a lesson, over a series of lessons, or throughout a unit.

Identifying how the goals fit within a mathematics learning progression.

Discussing and referring to the mathematical purpose and goal of a lesson during instruction to ensure that students understand how the current work contributes to their learning.

Using the mathematics goals to guide lesson planning and reflection and to make in-the-moment decisions during instruction.

Engaging in discussions of the mathematical purpose and goals related to their current work in the mathematics classroom (e.g., What are we learning? Why are we learning it?)

Using the learning goals to stay focused on their progress in improving their understanding of mathematics content and proficiency in using mathematical practices.

Connecting their current work with the mathematics that they studied previously and seeing where the mathematics is going.

Assessing and monitoring their own understanding and progress toward the mathematics learning goals.

TakingAction

As teacher leaders within your schools and districts, brainstorm ways you might use Principles to Actions with other teachers and administrators.

Taking Action section, pages 109-117, with specific recommendations for (1) policymakers and district leaders; (2) principals, coaches, other school leaders, and (3) teachers.

Session Learning Goal

We are learning to:

Consider how we, as leaders, can use Principles to Actions to support improvement toward excellent mathematics programs and effective teaching and learning of mathematics.

Thank You!

DeAnn Huinker

University of Wisconsin-Milwaukee

huinker@uwm.edu