UMathX Gateway to MODEL LESSONS–Tanzania,S.Africa

Tanzania & S Africa The “U” in UMathX is … “UNDERSTANDING”

RUDY NEUFELD - AUTHOR

PERRI HUGGINS DIRECTOR

ANNA –CLASS 3

SAPHI – CLASS 4

FADHILI – CLASS 5

HAJI – CLASS 6

PART A. Introductions – Tanzania, S.Africa

1. Perri, Kari, Anna, Saphi, Fadhili, Haji and students.. Obrien School, Kilimanjaro, Tanzania 2. Abe Ngoma, Houston, USA & S Africa; Sophie, Irma, Moss, Tumi and students in S Africa 3. R Neufeld, Toronto, Canada; A Allen, Windsor, Canada; Kellie Obrien, Chicago, USA 4. FOR APRIL 10 LESSONS Part F .. introduction ALGEBRA. Pg 7.. PLACE VALUE Pg 8

PART B. LEARNING ENVIRONMENT(share with students)

UMathX is a journey guided by your planning where students are encouraged to think through concepts, choose strategies, articulate ideas towards constructing understanding.

UMathX is the Gateway to Understanding Math for Teacher and Student.

UMathX supports the teacher through two menus, model 3-part lessons, support sheets.

www.umathx.com umathx.com/videos

Tanzania & S Africa The “U” in UMathX is … “UNDERSTANDING”

PREPARING FOR THE JOURNEY

You now have …

MANIPULATIVES !!

Build it, Draw it, Talk it, Write it

OWN IT!!

REMEMBER to play the video: UMathX–What is it? at www.umathX.com > Media > Videos

UMathX transforms a “Valley of Despair” into productive struggling in a “learning pit”.

Play the video http://www.jamesnottingham.co.uk/learning-pit followed by a discussion.

“UMathX helps students gain conceptual understanding better than any other program. Content and Teaching Methodology are exceptional.” Master Teachers, Faculties of Education LSU

"My class is learning so much using your program! I love the step-by-step visual explanations of math concepts. The children love the technological / manipulative driven. I love it and wish I would have had from day 1." LS – Gr 3 Donehoo ES .. Gadesden AL

PART C. MANIPULATIVES…Please Use Them

MANIPULATIVES … Obrien School receives from U of Windsor, Canada.

BUILD IT, DRAW IT, TALK IT, WRITE IT … THEN YOU WILL … OWN IT!!

Learning Environment .. COMPUTER, MANIPULATIVES, FRAMEWORKS, SUPPORT Sheets

PART D. BEGINNING THE JOURNEY

UMathX creates an environment of Exploration for Students and thus for Journeys in Mathematics.

Enter the URL www.umathx.com/preview into the address box of any browser. Enter the Generic Username: count

Enter the Generic Password: umathx

Tanzania & S Africa The “U” in UMathX is … “UNDERSTANDING”

.

For Tanzania and S Africa – select “CONTENT Menu”.

NOTE .. NEW

JUST RELEASED

1. FRAMEWORKS now available in Content Menu

2. SUPPORT SHEETS now available under resources on website.

www.umathx.com

Framework .. a model lesson to implement UMathX within curriculum

.. has 3 parts: Get Started Working At It Reflect and Connect

"Frameworks For Learning", our printable 3-part model lessons, are now linked directly with associated online lessons within the UMathX Content Menu.

Example: Within the Content Menu, follow the path ..

Fractions > Equivalent Fractions > Pattern Blocks

Now note the 2 pencil icons beside lessons Hexagon1 and Hexagon2 which indicate that corresponding frameworks are available. Click on one of the pencil icons to offer tiered frameworks.

PART E: Sequence of 3 Model Lessons .. March 19

Specifically for Obrien School, Kilimanjaro, Tanzania and Schools in S. Africa OBJECTIVE: Consider the smooth flow of major topics in 3 LESSONS from …

Fraction Introduction .. to .. Equivalent Fractions .. to .. Adding Fractions .. to ..

OBJECTIVE: Consider the smooth flow of major topics in 3 LESSONS from …

Fraction Introduction .. to .. Equivalent Fractions .. to .. Adding Fractions .. to ..

Word Problems .. Addition of Fractions with Different Denominators. Since Tanzania Curriculum is not aligned to UMathX, we will use the Content Menu. (Everyone in the world can do that as well!!) In CCSS in USA, for example, the teacher and students could follow the Curriculum Menu for CCSS…. 3.NF.01.01

LESSON 1 (TEACHER: The lesson on computer and in model lessons is already organized for you)

Log in UMathX and follow the path in the Content Menu (instructions are also in the framework below) Fractions > The Meaning of Fractions > Introduction… Think, Write, Say Now we see that the lesson .. Circles has a green pencil beside it .. ie it has a framework already prepared for us. Click on the green pencil Select and print framework .. “Fraction Introduction – Pattern Blocks -1” (the teacher does this BEFORE class) Process: One option is that, in a first lesson, the teacher might want to model within a whole class lesson. Getting Started: 3 at a computer .. Working At It: off computer – use pattern blocks 1 person .. reads instructions (arrived in Tanzania from Canada) 1 person .. operates computer Reflect and Connect: 1 person .. records on paper and leads discussion. Teacher led discussion and recording on paper.

Manipulatives, from UMathX computer, from frameworks(model lessons)

Since Tanzania Curriculum and S African Curriculum are not aligned to UMathX, we will use the Content Menu. (Everyone in the world can use this Content Menu as well!!) For example, teacher and student could follow the Curriculum Menu for CCSS…. 3.NF.01.03b

LESSON 2 (TEACHER: The lesson on computer and in model lessons is already organized for you)

Log into UMathX and follow the following path in the Content Menu: (instructions are also in the framework below) Fractions > Equivalent Fractions > Pattern Blocks Now we see that the lesson .. Hexagon -1 .. has green pencil beside it .. ie it has a framework already prepared for us. Click on the green pencil Select and print the framework .. “Equivalent Fractions -1” (the teacher has this done BEFORE class) Process: One option is that, in a first lesson, the teacher might want to model within a whole class lesson.

Getting Started: Working At It: 3 at a computer .. See instruction-use manipulatives (pattern blocks) 1 person .. reads instructions

1 person .. operates computer Reflect and Connect: 1 person .. records on paper and leads discussion. Teacher led discussion recorded by the student.

Since the Tanzania Curriculum and S African Curriculum are not aligned to UMathX, we will use the Content Menu. (Everyone in the world as well can do that as well!!) In CCSS in USA, for example, the teacher and students could follow the Curriculum Menu for CCSS…. 5.NF.01.02

LESSON 3 (TEACHER: The lesson on computer and in model lessons is already organized for you)

Log into UMathX and follow the path below in the Content Menu: (instructions are also in the framework below) Fractions > Adding Fractions > Word Problems Now we see that the lesson .. Eating Candy (as do Goal Scoring and Taking a Walk) .. has green pencil beside it .. ie it has a framework already prepared for us. Click on the green pencil Select and print the framework .. “Adding Fractions – Word Problems with Unlike Denominators -1” (the teacher has this done BEFORE class) TEACHER PREPARES the lesson which is already organized below. Many options .. Teacher could model this in a whole class lesson or student could work in small groups or ...

Getting Started: Working At It: Here we begin OFF COMPUTER. Reflect and Connect: Teacher led discussion and record

NOTE #1: If one checks the CONTENT MENU, one can, of course, meet everyone’s needs by checking lessons to fill gaps between, after & before the lessons above.(note the scaffolding from basic to advanced in Content Menu). NOTE #2: We will plan our next series of lessons for Monday, March 26 .. on ALGEBRAIC THINKING for Noela in Tanzania as well as for others. NOTE #3: I will plan a lesson next Monday for PLACE VALUE as well. NOTE #4: We will introduce Content Tests as well next week. NOTE #5: The lessons are already there for teacher and student but the teacher must prepare.

PART F: Model Lesson 1 .. April 10, 2018

Specifically for Obrien School, Kilimanjaro, Tanzania and Schools in S. Africa

OBJECTIVE: INTRODUCTION TO Algebraic Thinking

Go to UMathX – Content Menu. Follow the path below: Algebra > Algebraic Thinking > Introduction. Your Notes Go to UMathX – Content Menu. Follow the path below: Algebra > Algebraic Thinking > Trick 1 Whole Numbers Your Notes Go to UMathX – Content Menu. Follow the path below: Algebra > Algebraic Thinking > Trick 2 Whole Numbers

Your Notes

Go to UMathX – Content Menu. Follow the path below: Algebra > Algebraic Thinking > Trick 3 Whole Numbers

Your Notes

Go to UMathX – Content Menu. Follow the path below: Algebra > Algebraic Thinking > Pictures to Words Whole Numbers

Your Notes

PART F: Model Lesson 2 .. April 10, 2018

Specifically for Obrien School, Kilimanjaro, Tanzania and Schools in S. Africa

OBJECTIVE: INTRODUCTION TO Place Value

Go to UMathX – Content Menu. Follow the path below: Place Value > 1.Break Numbers into Groups > B > 1)Making Groups

Your Notes

Go to UMathX – Content Menu. Follow the path below: Place Value > 1.Break Numbers into Groups > C > 1)Break 12 into Groups

Your Notes

Go to UMathX – Content Menu. Follow the path below: Place Value > 1.Break Numbers into Groups > C > 2)Break 15 into Groups

Your Notes

Go to UMathX – Content Menu. Follow the path below: Place Value > 1.Break Numbers into Groups > C > 3)Break 27 into Groups

Your Notes

Go to UMathX – Content Menu. Follow the path below: Place Value > 1.Break Numbers into Groups > C > 4)Breaking into Groups of 10

Your Notes

Go to UMathX – Content Menu. Follow the path below: Place Value > 1.Break Numbers into Groups > C > 5)Break Numbers into Groups

Your Notes