2010 Irvington Professional Academy Course 3

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2010 Irvington Professional Academy Course 3
Enabling Students with Special Needs to Succeed in Math (Grades 3-8)

PROJECTS, January 23, Feb 20, March 6, March 13, March 20, 2010

On a daily basis, course content will be presented using the Languages of the Math Classroom, © '98, Agnes Azzolino. Though designated years ago, these languages provide a significant framework for addressing needs of each student through the auditory, symbolic, visual, and kinesthetic modalities of “individualized instruction.”

"Teachers will discover how
to adapt their own curricula and

to collaborate with special needs teachers

to help students succeed in the classroom,"
as described by the IBOE "Department of Mathematics, Course # 3."

On a daily basis, course content will include work in each area named here by a NJ Math Curriculum Standard:

Number Sense and Numerical Operations,
Geometry and Measurement,
Patterns, Algebra, Functions,
Data Analysis, Probability, and Discrete Mathematics,
Mathematical Processes - Problem Solving, Communication, Connections, Reasoning, Representations, Technology.
Each student will be required to produce and to present to the class a project
relating work in this course and
work their students might complete in their classroom.

This material might later be disseminated district-wide.

The class will begin promplty at 8:30 am and run to 12:30 pm, with breaks at the discretion of the instructor. Both classwork and homework reflect quality appropriate to graduate coursework.

January 23, 2010

Intro
Agnes Azzolino, 732.739.3951
Snow Chain,
Select Jan 30 or March 20
Sign in w/time, Sign out w/time, Sign in ...
Project Parameters & Template

The Languages of the Math Classroom

Table of Contents

Language Families

The Languages of the Math Classroom
© '98, '08, '09 Agnes Azzolino

MOTHER TONGUE & OTHER TONGUE(S)
Most Sophisticated and also the Most Basic

MOSTLY MATH TONGUES
Most Sophisticated, Most Basic

VERBAL / Auditory

WRITTEN / Symbolic

PICTORIAL / Visual

CONCRETE / Kinesthetic

formal spoken mathematics

written word

DIGITAL MANIPULATIVE

object

informal spoken mathematics

written symbol

moving picture

model

spoken symbol

semisymbolic

static picture

manipulative/token

symbol speak

calculator symbol

numeral

calculatoreze/computereze

graph

web speak

nonverbal body language

Speak as Many Languages as Possible.

Introduce in the Concrete.

Debrief in the Abstract.

Create Curriculum Maps Using IBOE Mathematics Pacing Guides
-- Grade 3 & 4 & 5, Grade 6 & 7 & 8
irvsaa.xls

NJ CCC Standards Material

Number Sense and Numerical Operations
Nine Times Tables

Patterns, Algebra, Functions,
Term Tiles create.xls -- to represent and simplify signed number expressions.
Mathematical Processes
- Problem Solving, Communication, Connections,
Reasoning, Representations, Technology.
Languages of the Math Classroom

February 20, 2010

Goals/Topics for Today

Project Updates
Multiplication
Fractions

Multi-tasking work:

Review the Project work completed since last meeting.
Keep a copy, cut a copy ---- of the deck of fraction cards
Keep a copy, color a copy ---- of the multiples of 2 - 12, as directed
Review reruns of last meeting ----
January 20, 2010: Sheets ReRuns
Feb 20, 2010: Sheets and Spreadsheets
Agnes Azzolino, 732.739.3951
Snow Chain,
Project Parameters & Template

Announcement/Research related to work of last class

New Jersey Assessment of Skills and Knowledge (NJ ASK) 2009-2010
from http://www.nj.gov/education/assessment/updates/update120309.pdf
12/03/09 update
see pages 20-34.

NJ CCC Standards Material

Number Sense and Numerical Operations
The game Who Has Whole Number Version - for mental computation
The game War -- for addition, or, with today's use, multiplication
Geometry and Measurement
The Customary Ruler - for measurement, fractions, addition and subtraction of fractions
The game Fill It - for addition and subtraction of fractions
Patterns, Algebra, Functions,
Term Tiles create.xls -- to represent and simplify signed number expressions.
Data Analysis, Probability, and Discrete Mathematics,
dice.xls -- to review vocabulary and notation
Mathematical Processes
- Problem Solving, Communication, Connections,
Reasoning, Representations, Technology.
Languages of the Math Classroom

March 6, 2010

You need the rulers on the floor or the ones you created last class.

ReRuns, pictures, and warm up.
Mental Addition of Fractions Connect-the-Dots: @ www.mathnstuff.com/papers/condots/fmas2.htm
Meter Tape: @ http://www.mathnstuff.com/math/spoken/here/2class/110/things/metertp.htm and Measurement Lab, meters-to-centimeters is a dollars-to-cents, and PI LAB.
Practice with 1/4 Inch by Joan Rizzuto: @ http://www.mathnstuff.com/math/spoken/here/2class/100/quarter.htm
Feedback Sheet for presentation of projects
Eye of Horus and Powers of Two
A Game for Two Players instructions spreadsheet
Grace Burton's Three Times Tables

March 13, 2010

Projects

Cool to Rule -- A Game of Estimation and Measurement: Andrea Rochman
M&M Graphing & Probability: Patti Joy
Color Coded Multiplication: Carol Schiffman
Playing Cards Mean, Mode, Median, Range

March 20, 2010