whole class mathematics discussions: improving in-depth mathematical thinking and learning

6
KEYNOTE ADDRESS North Carolina Teachers of Mathematics Conference 2013 Teruni Lamberg Ph.D. University of Nevada, Reno Whole Class Mathematics Discussions: Improving In- depth Mathematical Thinking and Learning

Upload: kevlyn

Post on 06-Jan-2016

21 views

Category:

Documents


0 download

DESCRIPTION

KEYNOTE ADDRESS North Carolina Teachers of Mathematics Conference 2013 Teruni Lamberg Ph.D. University of Nevada, Reno. Whole Class Mathematics Discussions: Improving In-depth Mathematical Thinking and Learning. - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: Whole  Class Mathematics Discussions: Improving In-depth Mathematical Thinking and Learning

KEYNOTE ADDRESSNorth Carolina Teachers of Mathematics

Conference 2013Teruni Lamberg Ph.D.

University of Nevada, Reno

Whole Class Mathematics Discussions: Improving In-depth Mathematical Thinking and Learning

Page 2: Whole  Class Mathematics Discussions: Improving In-depth Mathematical Thinking and Learning

Facilitating effective discussions that supports mathematical learning involves thinking about the process of teaching!

Setting up the physical space Classroom routines (thinking, communicating, listening& reflecting) Lesson Planning (three levels of planning) Teacher questioning (help make connections between low level and sophisticated

strategies and concepts.)

Note: All these components must be in place to optimize opportunities for students to learn math. Furthermore, this process naturally integrates the Standards of Mathematical Practice in a meaningful way.

Goal: Work smarter not harder!

Link to blog provides an overview of this process:

www.mathdiscussions.wordpress.com

2

Page 3: Whole  Class Mathematics Discussions: Improving In-depth Mathematical Thinking and Learning

Key ideas to consider when planning lessons that supports rich discussions. Conceptual vs. Procedural knowledgehttp://mathdiscussions.wordpress.com/2013/02/24/conceptual-understanding-vs-procedural-fluency/

Lesson Planning Resources- Sequencing is critical for supporting learning (Use high quality curriculum and tasks that have some level of challenge)

http://mathdiscussions.wordpress.com/lesson-planning-resources

Understand the Common Core Standards(Scroll to middle of page and look under Progressions Documents for links). These documents show how students develop a concept within and across grade levels. Focus teaching on mathematical concepts and making sure that students are understanding these concepts to adjust your teaching. (Lesson Planning guides and Resources are provided in chapter 4 of Whole Class discussion book.)

/

Page 4: Whole  Class Mathematics Discussions: Improving In-depth Mathematical Thinking and Learning

Levels of Analysis and Sense making

Phase 1: Making Thinking Explicit

(Explaining Reasoning)

Phase 2: Analyzing Each Other's Solution

(Analyzing Low Level to More Sophisticated Reasoning)

Phase 3: Developing New Mathematical Insights

(Abstract Mathematical Concepts)

4

Source: PDToolkit, Whole Class Mathematics Discussions: Improving in-depth Mathematical Thinking and Learning

Page 5: Whole  Class Mathematics Discussions: Improving In-depth Mathematical Thinking and Learning

Suggestions for refining your teaching Implementing the ideas presented is not hard. The

challenging part is applying them consistently so that they become a natural part of your teaching. (Developing new routines take time.)

The strategies presented in the Whole Class Mathematics discussion framework provide you a way to think about the math, how to plan lessons, set up the classroom and facilitate the discussion.

Work on small pieces of the process at a time and build on your success!

Page 6: Whole  Class Mathematics Discussions: Improving In-depth Mathematical Thinking and Learning

Whole Class Mathematics Discussions: Improving in-depth Mathematical Thinking and Learning

Publisher: Pearson

More details about the framework for optimizing student learning through discussion can be found in the book. (Specific classroom strategies, tools and video examples are provided for book study.) The video clips and the PowerPoint slides presented in the keynote are available in the accompanying Toolkit.

Best wishes implementing discussions in your classroom that supports mathematical learning! Need help? E-mail: [email protected]

6