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2017 Developing Coherence in Middle School Mathematics

High Point, NC - July 18, 2017

Coherence is defined as the quality of being logical, consistent, and forming a unified whole. Making coherent connections guides how, what, and when mathematical concepts and skills are taught. This makes coherence the cornerstone of any math program whose goal is to produce mathematically proficient students. This session will explore coherence in middle school mathematics.

Developing Coherence in Middle School Mathematics







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2017 Building Communities of Practice

Plymouth NC - June 22, 2017

Raleigh NC - July 11, 2017


This session focused on recognizing the importance of viewing teachers as a system of continuous improvement and how the structures of PLCs can be created to improve efficiency and effectiveness.

Building Communities of Practice - Plymouth

Building Communities of Practice - Raleigh






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2017 High School Regional Sessions (Spring 2017)

Regions 7&8 - May 10, 2017 (Morganton, NC)
Regions 5&6 - May 22, 2017 (Asheboro, NC)
Regions 3&4 - May 25, 2017 (Raleigh, NC)
Regions 1&2 - May 26, 2017 (Kinston, NC)

This one day session focuses on the progression through the revised high school standards and creating productive mathematical discourse through an in depth study of a task.

HS Spring (16-17) Regional Face-to-Face Professional Development





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2017 NCMLE Conference (Greensboro NC)

March 6, 2017


Sessions:
209. What is Your Math Identity? Reconsidering Equity-Based Practices
This session will have participants reflect on their own mathematical identities and examine how drawing from their own experiences can benefit students in developing positive mathematical identities. The session will explore five equity-based mathematics teaching practices that can help students maximize their learning potential.

405. Developing Functions through Proportional Reasoning
In this session we will discuss how the concept of functions is developed through proportional reasoning in 6th and 7th grade.

505. It’s a M.A.D., M.A.D., M.A.D. World!!
The world around us is full of data. Deep understanding of statistical thinking begins in middle school. Participants will take a deep dive into the 6th-7th grade progression of MS statistics and how it supports HS level statistics and beyond. The purpose of this session is to help teachers develop a deep understanding of statistical thinking as it relates to the statistical process in middle grades mathematics. Statistical thinking is quite different from mathematical thinking. The idea of using data to answer a statistical question appears to be a simple concept, however it requires a great deal of thought and effort to examine statistical data to make inferences about a larger population. These inferences are largely based on patterns in the data; however, it should be done considering variation in the data. An intuitive examination of the data can help students develop an understanding of variability and inference before applying more advanced statistical calculation. This session is designed to help middle grade teachers understand the overall statistical process and how establishing a firm understanding in middle grades can help students to be better consumers of information and how they can use that information to make decisions.

Session Material:

209. What is Your Math Identity?

405. Developing Functions through Proportional Reasoning

505. It's a M.A.D., M.A.D., M.A.D. World!





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2017 High School Math Summit (Greensboro, NC)

January 31 - 2017

This summit for all districts in North Carolina, focused on content area discussions and the goals of the creation and purpose of the NCCML.

Content Sessions:
Quadratic Functions
Statistics and Probability
Trigonometric Functions





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2016 High School Regional Sessions (Fall 2016)

Regions 5&6 - October 18, 2016 (Asheboro, NC)
Regions 7&8 - November 2, 2016 (Lenoir, NC)
Regions 3&4 - November 7, 2016 (Raleigh, NC)
Regions 1&2 - November 10, 2016 (Kinston, NC)

This one day session focuses on the progression through the revised high school standards and creating productive mathematical discourse through an in depth study of a task.

HS Fall (16-17) Regional Face-to-Face Professional Development





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2016 Summer Information Sessions - Revised High School Math Standards

June 20 - July 26, 2016
This one-day session reviews the revisions to the courses NC Math 1, NC Math 2, and NC Math 3

HS Summer (2016) Information Sessions







Region 2 - Coherence in Secondary Mathematics: 8 Proportional Reasoning and Functions

March 15, 2016

Professional Development

This one-day workshop examined the progression of standards across secondary mathematics that support number sense and conceptual understanding. Using the books Building Proportional Reasoning, NCTM's Principles to Actions, tasks from Illustrative Mathematics and other resources on proportional reasoning and functions participants explored the teaching Practices that support effective teaching and learning through a coherent progression from proportional reasoning to functions.

Ratios to Functions Presentation

Session Resources:
Note-taking Guide
Scalar vs. Functional Venn Diagram
Ratios, Proportions and Functions Coherence Charts
Functions Tasks 1-3 from Illustrative Mathematics
Functions Tasks 4-5 from Illustrative Mathematics







2016 NCMLE Conference, Greensboro NC

March 7, 2016


Conference Presentations

Rates, Ratios and Proportional Reasoning

This session will focus on building coherence of the Ratios and Proportional Relationships domain. We will examine how the middle school concepts of Rates, Ratios and Proportional Reasoning are built from Measurements, Operations, Fractions, and Algebraic Thinking in elementary and provides a foundation for Algebra, Functions and Geometry in high school.
Expressions and Equations: The Building Blocks to Algebra & Functions
This session will focus on building coherence of the Expressions and Equations domain. We will examine how the middle school concepts of Expressions and Equations are built from Operations and Algebraic Thinking in elementary and provides a foundation for Algebra & Functions in high school.

Rates, Ratios and Proportional Reasoning Presentation


Session Resources:
Note-taking Guide
Group Work - Time to Bake Task
Scalar vs. Functional Venn Diagram
Ratios, Proportions and Functions Coherence Charts

Expressions & Equations: Building Blocks to Algebra Presentation

Session Resources:
Expressions Sort Cards
Expressions & Equations and Functions Coherence Charts
Small Math Tasks
Comparing Instructional Tasks







Region 2 - Coherence in Secondary Mathematics: Expressions and Equations, The Building Blocks to Algebra

February 25, 2016

Professional Development

This one-day workshop examined the progression of standards across secondary mathematics that support Expressions and Equations for middle school mathematics and how it provides a foundation for Algebra & Functions in high school. Additionally, the session highlighted the standards for mathematical practice and how teachers can support student learning through the lens of the mathematical teaching standards.

Region 2 Powerpoint Presentation

Resources
EE Agenda
Expressions Sort Cards
5th-Math I EE and Function Standards
Vertical Alignment Chart
MAP - Interpreting Expressions Formative Assessment Lesson
Perimeter Task and Hexagon Trains Task
Playlist Group Cards
Small Task for 6-8 Expressions and Equations (Same as Playlist)
Functions Coherence Map







Region 2 - Coherence in Secondary Mathematics: 6-7 Ratio, Rate and Proportional Reasoning

January 20, 2016

Professional Development

This one-day workshop examined the progression of standards across secondary mathematics that support number sense and conceptual understanding. Using the books Building Proportional Reasoning, NCTM's Principles to Actions, tasks from Illustrative Mathematics and other resources on proportional reasoning participants explored the teaching Practices that support effective teaching and learning through a coherent progression from fraction division to proportional reasoning.

Region 2 Powerpoint Presentation (6-7) Proportional Reasoning

Resources
Coherence Maps
Fraction Division Note-taking Guide
Math Assessment Project-Formative Assessment Lesson: Interpreting Multiplication and Division
Fractions, Ratios and Rates Note-taking Guide
Always, Sometimes, Never (Ratio) template and cards
Always, Sometimes, Never Facilitator Notes
6th Grade RP Standards
7th Grade RP Standards
Proportional Reasoning Group Problem
Venn Diagram (Functional vs. Scalar)







Region 1 - Coherence in Secondary Mathematics

November 10, 2015

2015 Fall Professional Development

This one-day workshop will examine the progression of standards across secondary mathematics that support number sense, conceptual understanding and foundations for algebraic reasoning in 8th grade and Math 1. Using NCTM’s Principles to Actions, participants will explore the Mathematical Teaching Practices that support effective Teaching and Learning and develop student proficiency with the Standards for Mathematical Practice.

Region 1 Powerpoint Presentation

Resources
Coherence in Fractions Standards (3rd - 7th Grade)
Math Assessment Project-Formative Assessment Lesson: Interpreting Multiplication and Division

Fractions vs. Ratios AND Functional Vs. Scalar Venn Diagrams
6th Grade RP Standards
7th Grade RP Standards

Comparison of Math Practices and Teaching Practices







2015 NCCTM State Conference

Every year the secondary math team of NCDPI presents a session at the annual state conference on current trends in mathematics education as well as updates on mathematics in the state of North Carolina. This year, we invited co-presenters from school districts in North Carolina as we presented tasks that support the Teaching and Learning principle in NCTM's recently released publication titled Principles to Actions.

Principles to Actions Grades 6-8 Ensuring Math Success for All Lisa Ashe, Joseph Reaper and Julie Felix (Cabarrus County Schools)

Principles to Actions High School Ensuring Math Success for All Joseph Reaper, Lisa Ashe and Chase Tuttle (Iredell-Statesville Schools)







2015 Fall Professional Development

Region 3 - October 8, 2015

Region 5 - October 1, 2015

This PD will focuses on NCTM's publication "Principles to Actions: Ensuring Mathematics Success for All." Participants will learn about the actions required to ensure that all students learn to become mathematical thinkers and are prepared for any academic career or professional path that they choose. Principles to Actions, sets forth a set of strongly recommended, research-informed actions for all teachers, coaches, and specialist in mathematics.

Region 3 Powerpoint Presentation
Region 5 Powerpoint Presentation

Secondary Agenda
Teacher Beliefs Survey
National Data Handout
Comparison of Math Practices and Teaching Practices
Calling Plans Task-MS
Calling Plans Task-HS
Jigsaw Graphing Organizer
Summary of Math Teaching Practices Handout
Levels of Demand Chart
Cognitive Demand Sort







Region 5 Professional Development, June 2015

Session Title:

Expressions and Equations: The Building Blocks to Algebra

Session Description:

This session will focus on the learning progression within Expressions and Equations for middle school mathematics and how it provides a foundation for Algebra & Functions in high school. Additionally, the session will highlight the standards for mathematical practice and how teachers can support student learning through the lens of the mathematical teaching standards.

Target Audience:

Middle School teachers (6-8)

6-8 Expressions and Equations Progressions

Mathematics Teaching Practices
Standards for Mathematical Practice
Expressions and Equations Scavenger Hunt
Comparison of Math Practices and Teaching Practices
5th Grade-HS Math I Math Standards
Progressions of Expressions and Equations Task
Sorting Task
Cognitive Demand Sort
Hexagon Task
Hexagon Task Student Work
Hexagon Task Case Study







2015 Spring Regional

This PD will focuses on NCTM's publication "Principles to Actions: Ensuring Mathematics Success for All." Participants will learn about the actions required to ensure that all students learn to become mathematical thinkers and are prepared for any academic career or professional path that they choose. Principles to Actions, sets forth a set of strongly recommended, research-informed actions for all teachers, coaches, and specialist in mathematics.

Spring 2015_PtA_ppt

Comparison of Math Practices and Teaching Practices
Eight Essential Math Teaching Practices Chart
Eight Essential Math Teaching Practices Keyword Chart
Teacher Beliefs Survey
Cognitive Demand Sort
Boomerangs Task
Hexagon Task
Hexagon Task Student Work
Hexagon Task Case Study
Types of Questions-Headers
Types of Questions-Cards
Teaching and Learning Beliefs Cards
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Essential Elements Cards:







2014 NCCTM Conference


6-12 DPI Updates







2014 Fall Regional

The EQuIP (Educators Evaluating the Quality of Instructional Products) rubric is a tool designed to identify high-quality materials aligned to the Common Core State Standards (CCSS). The objectives of the training are two-fold: • Increase the number of high quality lessons and units aligned to the CCSS • Build the capacity of educators to evaluate and improve the quality of instructional materials for use in their classrooms and schools This session will allow participants an opportunity to learn and use the rubric so that they can implement in their schools and districts

Fall 2014_EQUIP_ppt

Rubric:
EQuIP Math Rubric
Quality Review Steps
Feedback Sheet -EQuIP Quality Review Process


Lessons:
Model Lesson
Sample Lesson #1
Sample Lesson #2







2014 Spring Regional










2013 Fall Regional

Putting the Mathematical Practices into “Action”

Putting the Mathematical Practices Into Action
Putting the Practices Into Action (Handout)







2013 Summer Institute

"Creating Active Thinkers" In the mathematics world we are all about providing strategies teachers can utilize to increase student's complex thinking and the development of the Mathematical Practices. To develop these develop 21st century skills, we must move beyond the traditional teaching model. Join us forCreating Active Thinkers, on the "How To" journey to promote change in mathematics instruction.
Objectives:
  • Provide strategies teachers can utilize to increase students’ complex level thinking.
  • Connect the Strategies for a Thoughtful Classroom to the Standards for Mathematical Practice.
Learner Outcomes:
  • Through the development of thoughtful classrooms aligned to the Standards of Mathematical Practice, educators will understand and promote complex level thinking in students.

Creating Active Thinkers




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2013 Spring Regional

  • Answer getting vs Learning Mathematics
  • Solutions through Modeling
  • Solving through Differentiation

Spring 2013 K-12 ppt
To B or not to B
Dr. Phil Daro
Butterfly Fractions
Math Problems
Matching Task







2012 Fall Regional

Accessible Mathematics by Steven Leinwand

Fall 2012 K-12 Regional PD
Summer Institutes
Major Work of the CCSS-M
Phi Delta Kappa Research Bulletin
McRel Insights PD Analysis
"It's Instruction Stupid"
Additional Steve Leinwand Presentations
Accessible Mathematics Book Study.doc X
Singapore Math
Zurkle Reflection
Zurkle Word Cards
Zurkle Word Cards with Numbers
A New Language Document
Elementary Math Problem Set







2012 Summer Institute

  • Know the three shifts: Focus, Coherence, and Rigor: Understand the importance of Focus for the 2012-2013 school year.
  • Develop plans to ensure all NC teachers know the major work (“Focus”) of their grade or course.
  • Strategize how your time, money and PD will be spent on the major focus of the grade.
  • Understand how the three shifts address these four questions:
  1. What do we want students to know and be able to do?
  2. How can we ensure that all children have the opportunity to learn?
  3. What do you do if they don’t know it?
  4. What do you do if they know it?

6-12 Summer Institute 2012-1.Day One.Final.pptx
Math Starters.Day 1.docx
Math Content Emphases.docx
Review of District Materials.docx
Teacher Rubric Only.pdf
Measuring in the Round.doc
The Structure is the Standard.doc
Shift Two Coherence.secondary.docx
Exploration Stations.6-12.docx
Exploration Stations Instructions.docx
Lining Up Dominoes Fraction-Decimal-Percent conversions.doc
Polynomial Four in a Row.version 1.docx
Polynomial Four in a Row.docx
Addition Integer Logic.doc
Multiplication Integer Logic.doc
Matching Representations.doc
The Power of Fun.doc
http://map.mathshell.org/materials/download.php?fileid=667

6-12 Summer Institute 2012-1.Day Two.Final.pptx
Math Starter.Day 2.docx
Percent Dilemma.docx
LASW.docx
A Protocol for Looking at Student Work.docx
Teacher Rubric Only.pdf







2012 Spring Regional


Spring RESA 2012.secondary.revised.ppt
Let's Do Some Math.docx
Mathematics Three shifts.doc
Focus activity.docx
Time to Reflect.docx
Major Work Template.docx
Pledge Plan UDL.docx
Sample Lesson Plan.docx
Performance Metrics for this Spring.docx







2011 Fall Regional


Math 6-12 Introduction powerpoint.pdf
Math 6-12 Introduction Powerpoint Notes.pdf
Standards for Mathematical Practice.pdf

Math 6-8 powerpoint.pdf
Math 6-8 powerpoint with Notes.pdf
Math 6-8 Handouts.pdf

Math 9-12 Powerpoint.pdf
Math 9-12 Handout 1.pdf
Math 9-12 Handout 2.pdf
Math 9-12 Handout 3.pdf
Math 9-12 Handout 4.pdf






2011 Summer Institute


[[file:maccss/Math K-5 Summer Institute Agenda.pdf|Math K-5 Summer Institute Agenda.pdf]]
Math K-5 Summer Institute Power Point.pdf
Math 6-12 Power Point with notes.pdf
Math 6-12 Handouts.pdf
Math 6-12 Alignment Sheets.pdf
Math 6-12 Summer Institute Agenda.pdf