Common Core Standards UMath X Address Texas TEKS

Steps in Professional Learning

Professional Learning - K to 4

A “Smarter, Not Harder” Blended RTI Model.Build, Draw, Talk, Write, then OWN NUMERATION

Dr. M Kendall Senior Math Manager - Houston ISD (retired)

A EllerbeeAdministrator

R NeufeldSenior Author - UMath X

This Session will:

● model a “Smarter, Not Harder” blended learning approach to understand numeration - counting, place value, operations, fractions.

Professional Learning - gr 5 to algebra 1

Proportions and Fractions in a“Smarter, not Harder” Blended RTI Approach.

Dr. M Kendall Senior Math Manager - Houston ISD (retired)

A Ellerbee Administrator

R Neufeld Senior Author - UMath X

This Session will:● model a “Smarter, Not Harder” blended learning approach to understand

fractions and proportions.

● model lessons for RTI and STEM on multiplying and dividing fractions, estimation, scale drawing, similar triangles and linear relations for content and instruction.

5 Steps in Professional Learning

●Model Digital Learning

●Model Blended Learning in 3 part lessons

●Model RtI with a “Smarter, Not Harder” Approach

●Working in it

●In Summary

PART 1: Model Digital Learning

● is the 10th version of “Understanding Math”.

● blends a digital approach and resources aligned to Texas TEKS - 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

● learning from concrete to pictorial to abstract

● multiple representations of concepts

● interactivity and audio

● a mistake is an opportunity to learn

● pacing is controlled by the learner

● learning is scaffolded

For a GLIMPSE, now LOG into

UMath X

Use any browser & Key in the URL …

www.neufeldlearning.com/texas (or one that has been given to you)

Generic Username Login is … student Generic Password is … studentpwd

Try this path.

Note the Digital

Learning Principles

Try this path.

Try this path.

The UMath X Menu is converted into the TEKS Menu.

Try one of these paths. For each path, access 2 menus. .. UMath X & Texas TEKSK.3.A.i Operations - 5.) Demonstrate Addition Facts - Making 53.3.C.i Fractions – The Meaning of Fractions – Introduction .. Think, Write, Say – Circles 6.4.C.i Fractions – Ratio and Proportions – Ratio Table – Ex 4

Try this path…

PART 2: Model Blended Learning

Frameworks for Learning - Fraction Parts of a TangramOffer many approaches - computer - manipulatives - paper (see framework)

(http://www.neufeldlearning.com/frameworks/)

(http://www.neufeldlearning.com/frameworks/) (http://www.neufeldlearning.com/texas/)

Frameworks on Paper Lessons on Computer

TRY THE PATH BELOW … Note - 2 menus

(http://www.neufeldlearning.com/frameworks/) (http://www.neufeldlearning.com/texas/)

Frameworks on Paper Lessons on Computer

Audio - Click under first letter in sentence.

Try the path below .. 2 menusAlso find the framework.

Access to UMath X

Generic Login .. studentGeneric Password .. studentpwd

Access to Frameworks (http://www.neufeldlearning.com/frameworks/)

Blended Learning

(http://www.neufeldlearning.com/texas/)

6.4.C.i Fractions – Ratio and Proportions – Ratio Table – Ex 4(Framework: Ratio Tables – Pet Store)

Try the path below .. 2 menusFind Framework

(Modified to Accommodate Learning) PART 3: Model RtI withTiered Frameworks

Example: Access TEKS Menu - 7.9.C .. (next slide)

Example: Access TEKS Menu - 7.9.c

..on computer

.. 3 part outlines on 2 pages

Tiered Frameworks… online”

Build it .. Draw it .. Talk it .. Write it .. then .. OWN IT!

PART 4: Working In It .. 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/texas/)

(http://www.neufeldlearning.com/frameworks/)

Multiply Proper Fractions

Subtract with Regrouping &

VerticalSubtract

Hilighted Paths are for 5 Stations in previous slide.Each path has .. 2 menus and frameworks.

(http://www.neufeldlearning.com/texas/) (http://www.neufeldlearning.com/frameworks/)

Proportions in a“Smarter, Not Harder”

Blended RTI Approach

PART 4: Unpack - Content/Instruction

Model Differentiated Instruction

Ratio Tables Introduction

Similar Triangles

Slope

Estimation Using

Proportions

ProportionScale Drawing

Graphs with/without

A Scale

(http://www.neufeldlearning.com/texas/)

(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 ● discuss instruction

Hilighted Paths are for 4 Stations in previous slide.Each path has .. 2 menus and frameworks

(http://www.neufeldlearning.com/texas/)

(http://www.neufeldlearning.com/frameworks/)

A Student is Tested.

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 TEKS .. TEKS 5.3 Numbers & Operations

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 question, correct and incorrect answer

At end of test, the student clicks on item 23 in Summary and info below appears.

Learning from Result

Part 5: In Summary

Teachers SchoolLeaders

ParentsCurriculum

Students

Change the Mindset

Remember How

Understand Why

..to..

Watch Less.

Do More!

Instructional Paradigm Shift

“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”

In Preparation for your First Class ● Access to UMath X .. see slide 7 www.neufeldlearning.com/texas

● Go to www.neufeldlearning.com- see 2 videos .. Navigation / Frameworks

● Professional Learning Options:1 - handson workshop or personal Skype session.2 - http://www.neufeldlearning.com/files/UMathX-BlendedLearning-TexasTEKS.pptx

● Contact: 1 866 429 6284- A Ellerbee .. aellerbee@neufeldmath.com

- R Neufeld .. rneufeld@neufeldlearning.comhttp://www.neufeldlearning.com/files/UMathX-BlendedLearning-ChangingTheClassroom.pdf

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