Introducing the Mathematics Vision Project

Report
Mathematics
Vision Project
Barbara Kuehl, Joleigh Honey, Travis Lemon,
Janet Sutorius and Scott Hendrickson
Mathematics Vision Project (MVP)
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)
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)
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)
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)
Mathematical
Proficiency
Adding it Up (2001)
Mathematical
Practice
Standards
(CCSS)
Mathematics Vision Project (MVP)
Balance
• Classroom tasks - Learning Cycle
o Develop – Solidify – Practice
• Homework
o Ready – Set – Go
Mathematics Vision Project (MVP)
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)
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)
Teaching
Cycle
Launch
Discuss
Mathematics Vision Project (MVP)
Explore
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)
Learning Cycle
Discuss
Discuss
Launch
Practice
Develop
Explore
Explore
Solidify
Discuss
Mathematics Vision Project (MVP)
Launch
Launch
Explore
What Does It
Look Like?
• Video from a learning cycle later in the module.
o Shopping for Cats and Dogs
Mathematics Vision Project (MVP)
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
Teacher’s Role:
Provide experiences,
orchestrate discussions
using the 5 practices
Students’ Role:
See structure;
See regularities;
Attend to precision;
Create and critique
arguments
Teacher’s Role:
Provide a vehicle for
practice, provide
feedback
Students’ Role:
Reason quantitatively;
Work towards
efficiency, flexibility,
accuracy;
Apply (model with
mathematics)
Mathematics Vision Project (MVP)
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)
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)
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)
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)
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)

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