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

rneufeld@neufeldlearning.com

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 - rneufeld@neufeldlearning.com

Call orEmail