Teaching and Learning
Elementary Math
November 27, 2012
10:30 am – 12:30 pm
School Visits: Math Needs Inventory
We have Teaching and Learning Meetings once a month
to focus on Elementary Math Curriculum.
• Where would you like for us to focus our time?
• What concepts would be most beneficial for us to
concentrate on in order to improve your role as a
leader of math in your building?
School Visits: Math Needs Inventory
Feedback from YOU:
•
Quantiles.com – how to use it to change instruction
•
Key statements – Daily Math Review
•
Compare district benchmark data – where do we
fall? What areas do we need to improve?
•
Small Groups: How to manage and set them up.
•
Unwrapping Common Core Standards – I Can
Statements
•
Content/Strategies discussions for upcoming units.
•
The role of the Math Coach: Time to meet with
other math coaches
•
Data Teams: So much data – how to structure the
time
•
What to do on building-directed early outs with
elementary math
•
Be one step ahead of the teachers: District PLC
meeting updates
•
Alignment + Curriculum + Instructional Materials
•
Ready to implement strategies
•
Balanced Math Overview – Sample Schedules - The
Math Block
•
How do all the pieces fit together?
•
Time to plan as a math team
Today’s Agenda
1. Scholastic Math Inventory + Quantiles
2. Next Steps – Looking Ahead to 2013
3. Balanced Math Framework
•
•
•
•
An Overview
Daily Math Review Update
Implementation Study
Next Steps…
3. The Role of the Instructional Coach
Virtual Parking Lot
TodaysMeet:
http://todaysmeet.com/elementarymath
Questions, Comments, Ideas, etc…
SCHOLASTIC MATH INVENTORY:
QUANTILES
NEXT STEPS:
LOOKING AHEAD TO 2013
BALANCED MATH FRAMEWORK:
OVERVIEW + UPDATE
Balanced Math Framework Overview
DAILY MATH
REVIEW
MENTAL
MATH
PROBLEM
SOLVING
CONCEPTUAL
UNDERSTANDING
FACT
FLUENCY
FORMATIVE
ASSESSMENT
Balanced Math Framework Overview
Ask Yourself...…
DAILY MATH
REVIEW
Before Daily Math Review, in what ways
were teachers at your school helping
students to retain math concepts and skills
they have already been taught?
Daily Math Review:
• Number Sense = Success with Computational Skills
• Key to Effective Practice is Timely + Specific
• Daily Reflection Increases Responsibility for Learning
• Student Awareness of Misunderstandings
More info? Pgs. 3 - 22
Balanced Math Framework Overview
Ask Yourself...…
MENTAL
MATH
Mental Math:
How are your teachers providing students daily
mental practice with number sense?
How are teachers providing students opportunities
to develop their own strategies for doing math
problems in their head?
• Three-problem computational brain workout (5 min)
• Mental Practice – Computing math facts + Combining
operations.
• Daily practice to develop + retain number sense and
computational skills
More info? Pgs. 23 - 28
Balanced Math Framework Overview
Ask Yourself...…
PROBLEM
SOLVING
How are your teachers providing opportunities for
students to apply and explain their mathematical
reasoning?
How are teachers
PROBLEM
SOLVING including writing into the math
block?
with be a
Problem solving:
Professional
Developmentthinking
Focus through
• Organize and consolidate mathematical
in the 2013-14
communication.
School Year.
• Analyze and evaluate the mathematical thinking of strategies.
• Use language of mathematics to express mathematical ideas
precisely.
More info? Pgs. 29 - 69
Balanced Math Framework Overview
Consider...…
CONCEPTUAL
UNDERSTANDING
If we want students to know what mathematics is, as
a subject, they must understand it. When we
memorize rules for moving symbols around on a
paper we may be learning something, but we are not
learning mathematics.
Balanced Math Framework Overview
DESIGNING A CONCEPTUAL UNIT:
CONCEPTUAL
UNDERSTANDING
More info? Pgs. 71 - 96
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
Establish a mathematical focus for the unit.
Locate the grade-specific math standards.
“Unwrap” those identified standards.
Determine the essential mathematical concepts.
Decide on the Big Ideas.
Write the Essential Questions.
Design an end-of-unit post-assessment.
Create a rubric or scoring guide.
Design a pre-assessment.
Plan the instructional lessons.
Share the Essential Questions.
Administer the pre-assessments.
Score the pre-assessments.
Begin teaching the unit.
Assess student understanding.
Share with students.
Peer-, Self and Teacher-assess
Ask the students to write a self-reflection.
Balanced Math Framework Overview
Ask Yourself...…
FACT
FLUENCY
Do your teachers have an accountability system in
place so that students not only learn, but retain their
math facts?
FACT FLUENCY
with be a
Mastery of Math Facts:
Professional
• Teach and Practice Math FactsDevelopment
Daily.
Focus
in the 2013-14
• Title I Schools: Fastt Math Program
School Year.
• Non-Title Schools: xtramath.com
• All Schools: Mastering Basic Math Facts Book – Full of
Activities and Lessons
More info? Pgs. 97 - 112
Balanced Math Framework Overview
Ask Yourself...…
FORMATIVE
ASSESSMENT
How frequently are teachers collecting student data
from math assessments and how are they using this
data to improve student achievement?
Common Formative Assessment:
• Collaboratively designed by grade level team.
• Use results to evaluate student understanding.
• Provide feedback needed to differentiate instruction.
• Assessment truly informs instruction.
More info? Pgs. 113 - 128
Balanced Math Framework Overview
Time Management
How do you fit it all in?
Remember – start small – one step at a time!
Step 1: Daily Math Review (15 – 20 Minutes)
Step 2: Mental Math (2 – 5 Minutes or Transition Time)
Step 3: Fact Fluency (10 – 15 Minutes)
Step 4: Conceptual Understanding and/or Problem Solving
(Remaining class time – Whole group and/or small group)
SAMPLE SCHEDULES
PGS. 179 - 183
Balanced Math Framework Overview
TodaysMeet:
Ideas, concerns and questions about the Balanced
Math Framework.
• Where are the teachers in your school at with the
components of the framework?
• What supports do you need?
Daily Math Review Update
Elementary Math District PLC Meeting
OCTOBER 31st
• Common Questions
• Video Example of DMR
• Work in School Teams to Complete
One Cycle
NOVEMBER 28th
• Conversations with teachers from
other schools on DMR
implementation.
• Balanced Math Overview
• Key Statements
• Work in School Teams to Complete
Another Cycle
Daily Math Review Update
Key Statement Expectation
• Teachers will have the students write the key statements at least
twice in a cycle.
• Teachers will reference the key statement daily (posting, circling,
reciting, telling a partner, etc…
Daily Math Review Update
Key Statements are now available on the
Elementary Math Website!
http://elementarymath.dmschools.org/index.html
Daily Math Review Tab
Daily Math Review Next Steps
PHASE ONE
PHASE TWO
•
Establishing a routine
•
Phase One Plus…
•
Daily implementation
•
Student - Led
•
1 – 5 questions
•
Bonus Question
•
Teacher – Led
•
Partner Talk Sentence Starters
•
“Form” for students to use for DMR
•
Special Education – different “form”
•
DMR Assessment every 2 weeks
•
Data charts
•
Partner work
•
Deeper understanding – reflection
•
Error Analysis
•
Reflection
Daily Math Review Update
Implementation Study
http://elementarymath.dmschools.org/index.html
Daily Math Review Update
Next Steps…
1. Implementation Study: Observe all grade 3 – 5 teachers by
January 4th, 2013.
2. Assess teacher needs based on the Implementation Study –
Plan last PLC meeting (January 9th) around teacher needs.
3. Mental Math – January 9th
4. Kindergarten – 2nd Grade Daily Math Review
THE ROLE OF THE
INSTRUCTIONAL COACH:
ACTION PLANNING
The Role of the Instructional Math Coach
The Role of the Instructional Math Coach
Literacy Coach by Day –
Math Coach by Night
Showcase: Jamie O’Brien – Madison
Elementary
The Role of the Instructional Math Coach
Meeting of the Math Minds
:
You are Invited!
First Math Coach Meeting
When: Wednesday, January 23rd from 2:30 – 3:45pm
Where: Location TBD
Who: All leaders of math are welcome!
What: Discussion of strategies for upcoming units, problem solving, fellowship
This meeting is optional.
The Role of the Instructional Math Coach
Math coach mentors
Each math coach will be partnered with another
coach in the district to bounce ideas off of and ask
questions!
Please sign up before leaving today.
The Role of the Instructional Math Coach
Feedback
•
Quantiles.com – how to use it to change instruction
•
Key statements – Daily Math Review
•
Compare district benchmark data – where do we
fall? What areas do we need to improve?
•
Small Groups: How to manage and set them up.
•
Unwrapping Common Core Standards – I Can
Statements
•
Content/Strategies discussions for upcoming units.
•
The role of the Math Coach: Time to meet with
other math coaches
•
Data Teams: So much data – how to structure the
time
•
What to do on building-directed early outs with
elementary math
•
Be one step ahead of the teachers: District PLC
meeting updates
•
Alignment + Curriculum + Instructional Materials
•
Ready to implement strategies
•
Balanced Math Overview – Sample Schedules - The
Math Block
•
How do all the pieces fit together?
•
Time to plan as a math team
Let’s Eat!