Mathematical Practices

 Goals today: ◦ Become familiar with the Mathematical Practices and what they mean and look like in instruction ◦ Addition Strategies: Introduction and Practice ◦ Number Talks: Demonstration, Video, Planning

 Clear and specific standards designed to replace curriculums that are “a mile wide and an inch deep”  Based on research about how students learn mathematics  Focus on students understanding the math they do

 1. Make sense of problems and persevere in solving them.  2. Reason abstractly and quantitatively.  3. Construct viable arguments and critique the reasoning of others.  4. Model with mathematics.  5. Use appropriate tools strategically.  6. Attend to precision.  7. Look for and make use of structure.  8. Look for and express regularity in repeated reasoning.

 Read the mathematical practice assigned.  Make notes about what the words mean to you and what it looks like in the classrooms for your grade span. Be ready to share in 5 minutes.

 Using your collective information, create a poster to illustrate the practice and what it looks like at your grade levels.  Leave room for others to add ideas.  Label the poster with the Mathematical Practice and the Grade Span.  Post your charts so they are spaced around the room.

 Expert groups: ◦ Count off within your group A, B, C, etc. ◦ As, Bs, Cs, etc. will walk around together and view each poster. ◦ The ‘expert’ who helped to make the poster shares the Mathematical Practice with the group. ◦ Add any relevant information to each poster that your group discusses.

“ Standards for Mathematical Content are a balanced combination of procedure and understanding.” Common Core State Standards, p. 2

“ In short, a lack of understanding effectively prevents a student from engaging in mathematical practices.” Common Core State Standards, p. 2

3 + = /2 + 2/3 = -136

=

 Addition Strategies: ◦ Branching ◦ Decomposing ◦ Partial Sums ◦ Bridging

 Branching Strategy:  = ☐  = ☐  = ☐

 Decomposing Strategy:  = ☐  = ☐  = ☐

 Partial Sums Strategy:  = ☐  = ☐

 Bridging Strategy:  = ☐  = ☐  = ☐

=

Task: Using the construction paper, make a poster for each strategy that clearly demonstrates use of the strategy. Utilize strategy hand-out. Hang posters back in your classroom for student reference once the strategy is introduced.

What is a number talk? = ?

 Number Talks Number Talks

Number Talks: Classroom Environment and Community Classroom Discussions The Teacher’s Role The Role of Mental Math Purposeful Computation Problems

 “We can’t teach what we don’t know, and we can’t teach well what we don’t understand.”  ~ Marilyn Burns

 Reflect on Today’s Goals: ◦ Become familiar with the Mathematical Practices and what they mean and look like in instruction ◦ Addition Strategies: Introduction and Practice ◦ Number Talks: Demonstration, Video, Planning