1. Mathematics Vision Project
Barbara Kuehl, Joleigh Honey, Travis Lemon, Janet Sutorius and Scott Hendrickson
Mathematics Vision Project (MVP)

2. Overview What is the Mathematics Vision Project (MVP)?
Lets do some math, experience a task and see the vision of learning cycles.
See what students have done.
Lessons learned as a teacher using OER math materials.
Mathematics Vision Project (MVP)

3. What is MVP? www.mathematicsvisionproject.org
Need for curriculum to meet the demands of the integrated pathway of courses.
Now a full year of materials is available on the web and the second year of materials is on its way.
Professional Development has begun and taken place in several districts and schools.
Mathematics Vision Project (MVP)

4. Vision
“The most necessary task of civilization is to teach people how to think. It should be the primary purpose of our public schools The trouble with our way of educating is that it does not give elasticity to the mind. It casts the brain into a mold. It insists that the child must accept. It does not encourage original thought or reasoning, and it lays more stress on memory than observation.”
-- Thomas A. Edison
Mathematics Vision Project (MVP)

5. Classroom Experience
The MVP classroom experience begins by confronting students with an engaging problem and then allows them to grapple with solving it. As students’ ideas emerge, take form, and are shared, the teacher orchestrates the student discussions and explorations towards a focused mathematical goal. As conjectures are made and explored, they evolve into mathematical concepts that the community of learners begins to embrace as effective strategies for analyzing and solving problems.
Mathematics Vision Project (MVP)

6. Mathematical Proficiency Adding it Up (2001) Mathematical Practice Standards (CCSS)
Mathematics Vision Project (MVP)

7. Balance Classroom tasks - Learning Cycle Homework
Develop – Solidify – Practice
Homework
Ready – Set – Go
Mathematics Vision Project (MVP)

8. Pet Sitters
As you participate in the tasks, look at student work and view the classroom experience, consider the way the lessons progress.
What is the student’s role in the lesson?
What is the teacher’s role in the lesson?
Mathematics Vision Project (MVP)

9. Classroom Tasks
Sequenced in learning cycles using the Comprehensive Mathematics Instruction (CMI) Framework
Designed for use with a journal or lab book so that students can keep track of their thinking throughout the module and year.
Mathematics Vision Project (MVP)

10. Teaching Cycle
Launch
Explore
Discuss
Mathematics Vision Project (MVP)

11. Supports for Lesson Planning
Work the task first!
Read the purpose and the standards in Teacher Notes
Prepare your lesson, with a focus on questions to ask in each part of the teaching cycle.
Connect teacher moves to five practices for orchestrating discourse. (Smith & Stein, 2011)
Mathematics Vision Project (MVP)

12. Learning Cycle Develop Solidify Practice Launch Explore Discuss Launch
Mathematics Vision Project (MVP)

13. What Does It Look Like?
Video from a learning cycle later in the module.
Shopping for Cats and Dogs
Mathematics Vision Project (MVP)

14. Incorporating Math Practices Into the Learning Cycle
Develop
Solidify
Practice
Teacher’s Role:
Provide experiences, orchestrate discussions using the 5 practices
Students’ Role:
Notice patterns;
Make conjectures;
Create arguments
See structure;
See regularities;
Attend to precision;
Create and critique arguments
Provide a vehicle for practice, provide feedback
Reason quantitatively;
Work towards efficiency, flexibility, accuracy;
Apply (model with mathematics)
Mathematics Vision Project (MVP)

15. MVP Homework Ready – familiar problems to prepare for future classwork
Set – problems to reinforce the work done in class that day
Go – problems to build fluency
Topics labeled for easy internet searches
Mathematics Vision Project (MVP)

16. Sequence of Modules
Introduction to the Materials Module 0: Getting Ready Module
Work with variables
Using units
Solving equations and inequalities
Module 1: Systems of Equations and Inequalities
Interwoven systems of equations and inequalities, leading to linear programming
First type of linear equations
Module 2: Arithmetic and Geometric Sequences
Introduces graphs, tables, story contexts, explicit and recursive equations for sequences
Strong emphasis on constant difference between consecutive terms and constant ratio between consecutive terms
Using understanding of arithmetic and geometric sequences to find arithmetic and geometric means
Mathematics Vision Project (MVP)

17. Module 3: Linear and Exponential Functions
Defining linear and exponential functions by their rates of change
Uses all representations
Expands the domain to include negative numbers
Develops fluency with notation
Compare rates of growth
Uses contexts that are both increasing and decreasing
Module 4: Features of Functions
Formalizes the definition of function using multiple representations
Builds understanding of function notation and connects notation to other representations
Interprets graphs and identifies features of graphs such as intercepts, intersections, intervals of increase and decrease
Mathematics Vision Project (MVP)

18. Module 5: Congruence, Constructions and Proof
Formalizing the definitions of the rigid motion transformations (isometries) and the characteristics they preserve (distance, angle measure, parallelism)
Experiment with transformations as a way for exploring properties of geometric figures—in this case, quadrilaterals and regular polygons.
Prove theorems about congruent figures—in this case, triangle congruency theorems.
Module 6: Connecting Algebra and Geometry
Deriving distance formula
Deriving equations of circles
Proving parallel and perpendicular slope criteria
Geometric transformations as functions; relating algebraic and geometric transformations
Module 7: Modeling Data
Line of best fit
Residuals
Two-way frequency tables
Mathematics Vision Project (MVP)

19. Lessons Learned
Teaching with worthwhile math tasks takes lots of work.
The MVP materials promote the 8 Mathematical Practice Standards.
MVP is more than free worksheets. Great tasks that promote reasoning and sense making.
Professional Development and support for teachers is essential!!!
Supporting the work with classroom website has been very helpful!!! Lemonmath.weebly.com
Mathematics Vision Project (MVP)