Mathematics Vision Project

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 ProficiencyAdding it Up (2001)Mathematical Practice Standards(CCSS) Mathematics Vision Project (MVP)

7. Balance • Classroom tasks - Learning Cycle • 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 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 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 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 MaterialsModule 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. • Provetheorems 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)