Teaching and Learning Elementary Math January 22, 2013.
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Transcript of Teaching and Learning Elementary Math January 22, 2013.
Teaching and Learning
Elementary Math
January 22, 2013
Today’s Agenda
1. Information + Reminders
2. Elementary Math + The Common Core
3. Daily Math Review + Mental Math
4. Wrap Up
Outcomes
1. Leaders will understand focus, coherence and rigor in the Common Core Standards for Mathematics.
2. Leaders will receive an overview of the next steps for Elementary Mathematics in 2013 – 2014.
3. Leaders will review the Daily Math Review + Mental Math expectations for grades 3 – 5.
4. Leaders will understand the direction for K – 2 with Daily Math Review and Mental Math.
School Visits: Math Needs Inventory
Feedback from YOU: Quantiles.com – how to use it to change
instruction
The role of the Math Coach: Time to meet with other math coaches
Balanced Math Overview – Sample Schedules - The Math Block
Key statements – Daily Math Review
• Help with understanding the Common Core Standards – I Can Statements
• Plan for Alignment + Curriculum + Instructional Materials
• Be one step ahead of the teachers: District PLC meeting updates
• How do all the pieces fit together?
• Small Groups: How to manage and set them up.
• Data Teams: So much data – how to structure the time
• Time to plan as a math team
• Ready to implement strategies
• Compare district benchmark data – where do we fall? What areas do we need to improve?
• Content/Strategies discussions for upcoming units.
• What to do on building-directed early outs with elementary math
Notecards
Questions? Comments? Want more information?
REMINDERS + UPDATES
Instructional Coaches Meeting
• Tomorrow – January 23rd
• 2:30 – 3:45pm
• Monroe Elementary School
• Mentor/Mentee
• Address needs
• Optional
SMI + Scholastic School Visits
• SMI testing completed by February 22nd.
• Scholastic Visits – Weeks of February 25th + March 1st
• We will be using the scheduled times you signed up for back in September.
• J. Starr will contact you soon with a verification of the visit date + expectation of what you will receive in the next visit.
Elementary Math Summer PD
Number SenseJune 24th + 25th
8:00am – 4:00pmLocation: TBD
Addition and SubtractionJune 17th + 18th
8:00am – 4:00pmLocation: TBD
Multiplication and Division
June 10th + 11th
8:00am – 4:00pmLocation: TBD
Target Grade Level: Kindergarten – 1st
Focus: Examine Instructional Strategies Deepen understanding of The
Common Core Standards Collaboration with grade level
teachers Exploration of the Mathematical
Practice Standards
Target Grade Level: 2nd – 3rd grade
Focus: Examine Instructional Strategies Deepen understanding of The
Common Core Standards Collaboration with grade level
teachers Exploration of the Mathematical
Practice Standards
Target Grade Level: 4th – 5th grade
Focus: Examine Instructional Strategies Deepen understanding of The
Common Core Standards Collaboration with grade level
teachers Exploration of the Mathematical
Practice Standards
Elementary Math Summer PD
Cognitively Guided Instruction (CGI) – National Math ConferenceJuly 10 – 12th
Des Moines, IAMarriot Downtown
The Seventh Biennial National Cognitively Guided Instruction Conference will be held at the Downtown Marriot in Des Moines this summer. It is a three-day conference with a Keynote Speaker and many breakout sessions focused around CGI.
For more information or to register: http://www.cesmee.hs.iastate.edu/cgi/index.html
ELEMENTARY MATH + THE COMMON CORE
Elementary Math + The Common Core
Des Moines Public Schools Mathematics Expectation
All students will demonstrate mastery of the rigorous Common Core Standards for Mathematics.
Elementary Math + The Common Core
Elementary Math Toolbox
All students will demonstrate mastery of the rigorous Common Core Standards for Mathematics.
Alignment of instructional materials to the Common Core Standards.
Deeper content knowledge for teachers.
Rigorous instruction focused around the Mathematical Practice Standards.
Understanding of the Common Core Standards – Learner Objectives.
Implementation of a Consistent Balanced Math Program
Balanced Assessment System
Instructional Materials
AuditTeacher
Feedback Assessment
Standard Analysis
Leadership Math Needs
Inventory
Elementary Math + The Common Core
All students will demonstrate mastery of the
rigorous Common Core Standards for Mathematics.
Professional Development
Assessments
Curriculum Guides
Instructional Framework
Instructional Materials
Expressions
Investigations
CGI
SMI
Daily Math Review
Fastt Math
Fact Fluency
Benchmark Assessments
Fraction Nation
Problem Solving Mental Math
Elementary Math + The Common Core
Elementary Mathematics Common Core Standards
FOCUSCOHERENCE
RIGOR
Elementary Math + The Common Core
FOCUS on the Major Work of the
Grade
Elementary Math + The Common Core
FOCUS
K 12
Number and Operations
Measurement and Geometry
Algebra and Functions
Statistics and Probability
Traditional U.S. Approach: No Focus
19 19
Grade K
Grade 1
Grade 2
Grade 3
Grade 4
Grade 5
Grade 6
Grade 7
Grade 8
K-8 Domains
Counting & Cardinality
Operations & Algebraic Thinking
Number & Operations in Base 10
Measurement & Data
Number & Operations – Fractions
Geometry
The Number System
Expressions & Equations
Ratios & Proportional Relationships
Statistics & Probability
Functions
©2011 Cooperative Educational Service Agency (CESA) 7 School Improvement ServicesPermission is granted to the Iowa State Department of Education for dissemination and use in any whole or part in any form within the state of Iowa region.
Elementary Math + The Common Core
COHERENCE Across and Within
Grades
Elementary Math + The Common Core
COHERENCE
Number line in Quantity & Measurement
Equal Partitioning
Fractions
Rational Number
Properties of Operations Rational Expressions
Unitizing in Base 10 and in Measurement
Rates, Proportional and Linear Relationships
Fractions Progression
©2011 Cooperative Educational Service Agency (CESA) 7 School Improvement ServicesPermission is granted to the Iowa State Department of Education for dissemination and use in any whole or part in any form within the state of Iowa region.
K-2 3-5 6-8
Elementary Math + The Common Core
RIGOR: Illustrations of Conceptual
Understanding, Fluency, and Application
Elementary Math + The Common Core
RIGOR
Elementary Math + The Common Core
RIGOR APPLICATI
ONPROCEDURAL Skills
CONCEPTUAL
Understanding3.NF.1
Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
5.NBT.5 Fluently multiply multi-digit
whole numbers using the standard algorithm.
7.NS.3 Solve real-world and
mathematical problems involving the four operations
with rational numbers.
VIDEO
Problem SolvingCGICGIExpressionsInvestigationsFraction NationFastt MathMental Math
Daily Math Review
Fact Fluency
Elementary Math + The Common Core
RIGOR
CONCEPTUAL
Understanding
PROCEDURAL Skills
APPLICATION
Elementary Math + The Common Core
Data for Planning DMPS Common Core Math ImplementationCurrent State of Reality of DMPS Math Program Desired Outcomes of DMPS Math Program
District Benchmarks on Priority Standards only while some of the supporting standards are tested on Iowa Assessment..
Implementation of Common Core State Standards with fidelity: Focus, Coherence + Rigor.
District Benchmark Data: 53.8% of grade K-5 students were proficient on math up to this point.
Increase of Student Performance on District Benchmark Assessments.
Iowa Assessment Data: 64.2% of grade 3-5 students were proficient on the Iowa Assessments math (Spring 2012).
Increase of Student Performance on Iowa Assessment.
ACT Data: 18% of grade 11 students were college ready on the ACT math (Spring 2012).
Increase of Student Performance on ACT.
Increase Teacher Content Knowledge
Increase Teacher understanding of Mathematical Practice Standards
Elementary Math + The Common Core
Elementary Mathematics: 2013 – 2014 Common Core Implementation Plan
Elementary Math Component Next Steps DMPS Elementary Math Block 60 – 90 minutes
Elementary Math + The Common Core
Elementary Mathematics: 2013 – 2014 Common Core Implementation Plan
Elementary Math Component Next Steps
Instructional Materials
An audit of our current materials has been completed and has provided insight for greater teacher support in the 2013 curriculum guide revisions.
Investigations provides a supplementary Common Core resource that is available to all schools (Contact Anna if you need a copy).
Instructional Materials Review Committee 2013 – 2014
Elementary Math + The Common Core
Elementary Mathematics: 2013 – 2014 Common Core Implementation Plan
Elementary Math Component Next Steps
Assessments
The DMPS Assessment Team is analyzing our current District Benchmark individual items for reliability and validity. Items that are found to be non-reliable or non-valid will be replaced.
External summative assessments, in combination with the Common Core Standards will be considered when replacing the District Benchmark items.
Elementary Math + The Common Core
Elementary Mathematics: 2013 – 2014 Common Core Implementation Plan
Elementary Math Component Next Steps
Curriculum Guides Curriculum Guides will include ‘I Can’ Statements to better facilitate consistency of rigor with the Common Core Standards in DMPS.
Elementary Math + The Common Core
Elementary Mathematics: 2013 – 2014 Common Core Implementation Plan
Elementary Math Component Next Steps
Balanced Math Framework
Continuation of implementation of the framework will provide structure to the math block.
Daily Math Review will be implemented with fidelity from grade K – 5 starting in August of 2013.
District PLC Meetings will focus on Problem Solving in relation to the Math Content Standards, as well as, Mathematical Practice Standards.
Support will be provided to Instructional Coaches in the area of CFA creation and analysis.
Elementary Math + The Common Core
Elementary Mathematics: 2013 – 2014 Common Core Implementation Plan
Elementary Math Component Next Steps
Instructional Strategies + Content Knowledge
Summer professional development courses will be offered to deepen teacher understanding of the Common Core Content standards, as well as, the Mathematical Practice Standards.
District PLC Meetings will focus on Problem Solving in relation to the Math Content Standards, as well as, Mathematical Practice Standards.
Monthly Instructional Coaches Meetings
Notecards
Questions? Comments? Want more information?
DAILY MATH REVIEW AND
MENTAL MATHUpdate
DMR – Implementation StudyThe Questions
Expectations:• By the end of the year, all Grade 3 – 5
teachers will be requiring their students to complete 3 – 5 questions on Daily Math Review.
• The questions should be from different categories (i.e. place value, multiplication and decimals).
• The questions should be derived from a very specific category and focus on the same skill.
• The questions should be review from previous year concepts or previous unit skills.
DMR – Implementation StudyStudent Work Time
Expectations:
• The teacher gives the students a few minutes to work on the problems individually.
• The majority of the work time is spent with students working in partners.
• Partners discuss the “how” to their answers rather than the “what”.
• Teacher has modeled good examples of partner talk.
• The teacher walks around the room during student work time.
• The teacher may work with a small group by pulling them to a table or by meeting with a pair of students at their desks.
DMR – Implementation StudyProcessing and Error Analysis
Expectations:• Use star and circle/fix.
–Star every step of the problem. This allows the students to receive specific feedback. –Students should NOT just be putting a star on each correct problem.
• Teacher-led 3 out of the 9 days.
• Student-led 6 out of the 9 days.
DMR – Implementation StudyKey Statements + Reflections
Expectations:• Students write each key statement two or
more times during a cycle.
• The teacher references the key statement daily.
• Teacher models ‘deep thinking’ reflections.
• Students write a reflection for each question daily.
DMR – Implementation StudyTime
Expectations:• 15 – 20 minutes daily.
• Teacher runs a two week cycle before the assessment.
Daily Math ReviewCommon Questions
What is the
research for Math
Review?
Why doesn’t the district provide the categories and questions?
Why Daily Math Review?My class cannot pass a
category! Same category
all year?
What if there is more than one way to solve a
problem?
Do I need to stick to exactly 90% of my class passing to
move off a category?
How can I differentiate Daily Math Review?
Mental MathExpectation + Resources
Expectation: Each teacher provides 3 – 5 minutes of multi-step mental math practice daily.
District PLC Meetings Kindergarten – 2nd Grade
District PLC Meetings Kindergarten – 2nd Grade
Wednesday, February 6th District PLC Meeting AgendaKindergarten – 2nd Grade
1. Daily Math Review Expectation: All K – 2 teachers will implement Daily Math Review with fidelity by the end of May.
2. Overview of Daily Math Review and how it works in a primary classroom.
3. Video Examples of Daily Math Review in K – 2.
4. Math Website: Introduction and Available Resources
5. Collaboration Time: Work to create a cycle to implement before the March 6 th session.
District PLC Meetings Kindergarten – 2nd Grade
Brief Overview of Kindergarten + First Grade Math Review
• 1 - 3 Problems based on Number Sense Concepts.
• Students do the first problem using manipulatives.
• Students discuss problem with a partner.
• Teacher process the problem chorally with class (direct modeling with the manipulatives).
• Students turn back to partner to reflect on how they did.• Once students are used to reflecting use a sentence starter.
• Students say key statement multiple times.
• Repeat this process with each problem.
• First grade can move to paper pencil when ready still doing one problem at a time
District PLC Meetings Kindergarten – 2nd Grade
Sample Format
District PLC Meetings Kindergarten – 2nd Grade
Key Statements K - 2
Daily Math Review + Mental Math
Team Reflection
Notecards
Questions? Comments? Want more information?