Common Core Standards UMath X Address The Common Core Access & Professional Learning.
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Transcript of Common Core Standards UMath X Address The Common Core Access & Professional Learning.
Common Core Standards UMath X
Address The Common Core Access & Professional Learning
Professional Learning - Topic 1: A “Smarter, not Harder” RtI Model: Build, Draw, Talk, Write then … OWN FRACTIONS
Grades 2 to 6
This Session will: ● suggest models for whole class as well as for differentiated instruction to address
RtI (Response to Intervention) for fraction and decimal content in a “smarter, not harder” approach.
● provide 3-part, tiered lessons to model an environment which attempts to accommodate all learners in a diverse learning environment.
● blend digital, paper and manipulatives in lessons modified to present content and instruction.
Professional Learning - Topic 2:A Tangy Mix of Amazing Proportions - Model Concept-Driven Lessons for RtI and STEM
Gr 5 to Alg 1
This Session will:● suggest models for whole class as well as for differentiated instruction to address
RtI (Response to Intervention) and some STEM for ratio and proportion content in a “smarter, not harder” approach.
● provide 3-part, tiered lessons to model an environment which attempts to accommodate all learners in a diverse learning environment.
● blend digital, paper and manipulatives in lessons modified to present content and instruction.
● provide lessons in a wide range of topics including estimation, scale drawing, similar triangles, ratio tables and linear relations.
A Diverse Concept-Driven Learning Environment
2 Sources of Instruction
● Diverse, Digital Learning● Browser Based● K to Alg 1 Curriculum● Understanding Math
10th version
Frameworks for Learning● 3 Part Lessons● Model Implementation of UMath X
Frameworks for Learning● 3 Part Lessons ● Start - Work at it - Reflect
UMath X - Diverse Learning
Instructional Scaffolding
The UMath X Menu is converted into the CCSS Menu.
Frameworks(on paper) & Lessons (on computer)
.. 3 part outlines on 2 pages
..on computer
Some Frameworks are Tiered (Modified to Accommodate Learning)
Tiered Frameworks… online”
(http://www.neufeldlearning.com/frameworks/)
(http://www.neufeldlearning.com/preview)ACCESS to UMath X … use the URL below or URL assigned to you.
ACCESS to FrameworksGo to CCSS Menu or to the URL below …
Generic Login .. student (or personal login & password assigned to you)Generic Password .. studentpwd
Build it .. Draw it .. Talk it .. Write it .. then .. OWN IT!
PD Topic 1: Modelling Fractions
(http://www.neufeldlearning.com/frameworks/)
(http://www.neufeldlearning.com/preview/)
2 Sources of Instruction Frameworks on Paper Lessons on Computer
Differentiated Instruction
Introduction to Fractions
Equivalent Fractions
Decimals & Fractions
Adding Fractions
Tangrams & Fractions
Multiplying Fractions
(http://www.neufeldlearning.com/preview/)
Find Frameworks within UMath X for each of these 6 stations
http://www.neufeldlearning.com/frameworks/)
A Sample of FRACTION Lessons
(http://www.neufeldlearning.com/preview/)
A Tangy Mix ofAmazing Proportionals
6th grade to
Algebra 1
For Topic 2: Proportioality
This session will model ...● real world● concept-driven● tiered
… learning
to address ...
PROPORTIONALITY
FOR Access to UMath XGeneric Login .. studentGeneric Password .. studentpwd
(http://www.neufeldlearning.com/preview/)
FOR Access to FRAMEWORKS for Learning
(http://www.neufeldlearning.com/frameworks/)
2 Sources of Instruction Frameworks on Paper Lessons on Computer
Differentiated Instruction
Ratio Tables Introduction
Similar Triangles
Slope
ProportionsEstimation
ProportionScale Drawing
Ratio TablesPet Store
Ratios from Graphs
bar..circle..dot
Linear Relations
(http://www.neufeldlearning.com/preview/)
Find frameworks within UMath X for each of these 7 stations.
http://www.neufeldlearning.com/frameworks/)
(http://www.neufeldlearning.com/preview/)
A Sample of Proportionality Lessons
Randomized Tests
I want to see the question & learn from it.
Learn from the Test
Before Beginning …Set the Learning Environment -
Teachers SchoolLeaders
ParentsCurriculum
Students
Change the Mindset
Remember How
Understand Why
..to..
Watch Less.
Do More!
Instructional Paradigm Shift
Towards Diverse Learning
“Active learning practices
have a more significant
impact on student
performance than any other
variable, including student
background and prior
achievement.”Dr. Brigid Barron and Dr. Linda Darling-Hammond, Stanford UniversityTeaching for Meaningful Learning: A Review of Research on Inquiry-Based and Cooperative Learning
Good Mathematics ...
… is what you do when you don’t know answers.● more than
“persevering”● more than “engaging”● is “productive”
struggling … is … “GRAPPLING” ie … in competition with oneself.
Show me another way?
Effective Questions
Productive Math Talk Moves
How are these same/different?
What would you do if…?
Why did you…?
What else could you have done?
Revoicing
Repeating
Reasoning
Adding OnWaiting
Students articulate their own ideas and consider peer perspectives as a way to construct understandings.
Parent Expectations
Go Deep to
Understand
Unpack the Math
Teach in New Ways
Lead to Understan
dBroad Ability Ranges
Differentiate
TEACHER is the KEY!!
Components to Increase Capacity to Teach Mathematics
● Teachers need to learn how to unpack familiar mathematical concepts into those elements that combine and lead to an understanding of the concept.
● Teachers require knowledge of what is an adequate explanation of a concept or justification of a procedure.
● Teachers require an understanding and exploration of solutions or methods that are different from their own.
TEACHER is the KEY!!
Support Teachers
Teach for understanding
.Answers not
sufficient
Communicate to Parents
Teachers do not provide all answers.Students “grapple”.
The School Leader is Key!!
Towards Diverse Learning
3 Steps Before 1st Class - Set the Environment !
● Go to www.neufeldlearning.com- see 2 Videos .. Navigation / Frameworks - then select tab “Training Documents” then select “Quickstart”
● Access to UMath X .. URL & login given to you or www.neufeldlearning.com/preview …
● Attend a UMath X - Professional LearningOptions:1 - 3 hour handson session
2 - 45 min personal Skype or Webinar3 - request Google Slide - “UMath X - Address CCSS”
● Contact Rudy Neufeld - Sr Author/CEO … Neufeld Learning
1 866 429 6284 - [email protected]
Call orEmail