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Common Core Standards UMath X
Address The Common Core Introduction
http://www.neufeldlearning.com/files/UMathX-BlendedLearning-ChangingTheClassroom.pdf
Outline●Model Digital Learning -slide 3
- video & access- methods - Within UMath X Menu - Within CCSS Menu
●Model Blended Learning -slide
16
- frameworks for learning model
implementation
●Model Tiered Learning-slide 22
- strategies to accomodate learning ●Model Professional Learning in K to Alge1
-slide 27
- handson
●Assessment -slide 33
- data module - depth & flexibility
●The Learning Environment -slide
35
http://www.neufeldlearning.com/files/UMathX-BlendedLearning-ChangingTheClassroom.pdf
Model Digital Learning
● is the 10th version of “Understanding Math”.
● blends a digital approach and resources aligned to many curricula for k to algebra 1.
● models strategies in scaffolded learning environments:- to build the math capacity of students.- to provide individual progress monitoring.- to support the professional learning of the teacher.
Frameworks for Learning● 3 Part Lessons ● Start - Work at it - Reflect
Digital Learning Principles
● concrete to pictorial to abstract
● multiple representations ● interactivity and audio
● mistake is an opportunity to learn
● pacing is controlled by the learner
● learning is scaffolded
Use any browser & Key in the URL www.neufeldlearning.com
Play the NLS Video - UMath X Navigational Tutorial
For a GLIMPSE, now LOG into
UMath X
Use any browser & key in the URL …
www.neufeldlearning.com/preview/
Generic Username Login … student Password … student2015orGeneric Username Login …
teacherPassword is … teacher2015
Later, we can also log in as:Principal and/or
District Leader
Try this path & Note the Digital Learning Principles
CLICK
CLICK
Try this path & note the Digital Learning Principles.
Try this path.
Try this path.
www.neufeldlearning.com/preview
The UMath X Menu is converted into the Common Core Menu.
Then navigate to 2.OA.02.02
CLICK
Then navigate toMAFS.2.OA.02.02
The UMath X Menu is converted into the Common Core Menu.
The UMath X menu is based on a CONCEPTUAL FOCUS.It allows student and teacher to follow a CONCEPTUAL PATH rather than an often disjointed grade focus.It is flexible in that one can focus on concepts in a certain grade and conceptual scaffolding over a number of grade levels.
Then navigate to5.NF.02.04a
CLICK
Hence one can reach a particular lesson in 2 ways:1. through the UMath X menu2. through the Common Core State Standards menu
Model Blended Learning
Frameworks are … 3 Part Lessons to Model Implementation of UMath
(http://www.neufeldlearning.com/preview/
(http://www.neufeldlearning.com/frameworks/
Find and print the framework below:
Find and select it at …
(http://www.neufeldlearning.com/frameworks/)
Find and Print a Framework:Method 1: Find and select it at …
Method 2: Select from the Common Core Menu .. & click on “frameworks” Find & select the appropriate framework below.
(http://www.neufeldlearning.com/frameworks/)
Frameworks (3 Part Lessons for Blended Learning)
(http://www.neufeldlearning.com/frameworks/)
Frameworks (3 Part Lessons for Blended Learning)
(http://www.neufeldlearning.com/frameworks/)
Frameworks (3 Part Lessons for Blended Learning)
(http://www.neufeldlearning.com/frameworks/)
(Strategies to Accommodate Learning) Model RtI with Tiered Frameworks
(http://www.neufeldlearning.com/frameworks/)
(http://www.neufeldlearning.com/preview/)
Access - 7.G.02.06
.. 3 part outlines on 2 pages
..on computer
Example of Tiered Frameworks
Tiered Frameworks… online”
Build it .. Draw it .. Talk it .. Write it .. then .. OWN IT!
Modelling .. K to 5
Find Frameworks at for each of these 6 stations. Some frameworks are tiered.
Within your group:● work though tiered framework● discuss content ● discuss instruction
Model Differentiated Instruction
Fraction Introduction
Equivalent Fractions
Decimals to Tenths,
Hundredths
Adding Fractions
(http://www.neufeldlearning.com/preview/)
(http://www.neufeldlearning.com/frameworks/)
Multiply Proper Fractions
Subtract with Regrouping &
VerticalSubtract
Below are Paths for Some Stations in Previous Slide.Each path has .. 2 menus and frameworks.
(http://www.neufeldlearning.com/frameworks/)(http://www.neufeldlearning.com/preview/)
Proportions in a “Smarter, Not Harder”Blended RTI Approach
Modelling - 6 to algebra 1
Model Differentiated Instruction
Ratio Tables Introduction
Similar Triangles
Slope
Estimation Using
Proportions
ProportionScale Drawing
Graphs with/without
A Scale
(http://www.neufeldlearning.com/preview/)
(http://www.neufeldlearning.com/frameworks/)
Linear Relation Elastic /Walker
Find Frameworks at for each of these 6 stations. Some frameworks are tiered.
Within your group:● work though frameworks● discuss content & instruction● discuss “intensive math” outline
Below are Paths for Some Stations in Previous Slide.Each path has .. 2 menus and frameworks.
(http://www.neufeldlearning.com/preview/)
(http://www.neufeldlearning.com/frameworks/)
Assessment
A student logs in and clicks on the test icon.(see above)The Test Selection Menu will appear. Click on the Curriculum tab. The following appears.Click on .. 5th Grade .. and select one of the domains .. Numbers & Operations - Fractions
At the end of the test, a Summary Page appears. Above is part of a possible Summary Page.The student clicks on item 14. The student receives information below.
Learning from Results
The Learning Environment
Teachers SchoolLeaders
ParentsCurriculum
Students
Change the Mindset
Remember How
Understand Why
..to..
“Active learning practices
have a more significant
impact on student
performance than any other
variable. 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
The Teacher is the KEY
Role of the School LeaderSupport Teachers
Teach for Understanding
Answers areImportant
but
Not Sufficient
Communicatewith Parents
Teachers do not provide all answers.
Students are encouraged
to “Grapple”
FINALLY.. ● UMath X Preview Access www.neufeldlearning.com/preview
login - student password - student2015
● Videos - Navigation, Frameworks www.neufeldlearning.com
● Professional Learning: http://www.neufeldlearning.com/files/UMathX-BlendedLearning-CCSS.pptx
● Contact-R. Neufeld .. [email protected] -Brenda re ordering .. [email protected]
http://www.neufeldlearning.com/files/UMathX-BlendedLearning-ChangingTheClassroom.pdf
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