West Virginia School Leadership TeamsUsing Structure to Support Learning in

Mathematics

Lynn Bakerlhbaker@access.k12.wv.us

Coordinator, Math/Science PartnershipOffice of Early Learning

Session Goals

• Extend Teacher Content Knowledge of mathematics

• Focus on SMP 1 & 7• In-depth study of Additive or Multiplicative

Structures• Develop a plan for sharing

A Time of Reflection

How has your questioning changed during mathematics

instruction?

Standards for Mathematical Practice

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.

Standards for Mathematical Practice

Mathematically Proficient Students Use

Mathematically Proficient Students Think About

Mathematically Proficient Students Do

Standards for Mathematical Practice

1. Make sense of problems and persevere in solving them.

7. Look for and make use of structure.

Write a short typical addition “word” problem.

Structure vs Key Words

• Encourages students to ignore the meaning and structure of the problem

• Key words may be misleading• Problems may not have key words• Key words don’t work with two-step problems

Elementary and Middle School Mathematics Teaching Developmentally

Problem Sort

• Choose Additive or Multiplicative Structures.

• Read each problem.• As a group decide which structure it

represents.

Classroom Focus

Susan has 15 pennies. She gave some to Bill. Now she has 9 pennies left. How

many pennies did she give Bill?

Computational and Semantic Forms of

Equations

• Computational form of the equation isolates the unknown in a way that the unknown is alone on one side of the equation.

• Semantic form of the equation lists the numbers in the order that follows the meaning of the word problem.

Classroom Focus

• Select an additive or a multiplicative structure. (Based on Grade Level Next Generation CSOs)

• Write two grade level appropriate problems.

• Working in groups of three, practice your “problem talk”.

Index Card

Grade Level Additive/MultiplicativeType of structure

1 of ?

Text of word problem

Suggested Implementation5-10 minutes

Monday Tuesday Wednesday Thursday Friday

Number Talk

Problem Talk

Number Talk

Problem Talk

Number Talk

It is more than a diet!It is a lifestyle change!

Change 10%

• 10% of 300 minutes• 30 minutes/day• Which 30 minutes will you change?• What will you differently?

How will you share?

• Develop a plan for sharing the information from today’s session.

• Share with another school?

Session Debrief

• Ah-Ha!• Oh No!• One step we are going to

take.