Transcript Let’s Play Using - Education Transformation Office (ETO)

Julian Davenport
Education Transformation Office
Cisely Scott
Jesse J. McCrary
Common Board Configuration (CBC)
DATE: June 21, 2011
BENCHMARK: Manipulatives
MT 2.0.2011
VOCABULARY: manipulatives,
tangram, learning styles,
concrete, representational,
abstract (CRA), base 10 blocks,
geoboards, pattern blocks,
virtual manipulatives
OBJECTIVE:
Participants will explain the
purpose of using math
manipulatives and identify ways
of enhancing math instruction
through the use of manipulatives.
AGENDA:
Icebreaker
What Are Manipulatives?
What the Research Shows
Reaching Various Types of
Learners
Hands-On Activities Rotations
Demonstrations for Upcoming
Benchmarks
Challenges with prizes
ESSENTIAL QUESTION:
Virtual Manipulatives
How can we use concrete
Take Aways:
resources to move students to the
Things learned during this
understanding of representational
session
and abstract math concepts.
Tangram Handout
EXIT SLIP:
IN YOUR JOURNAL
Connect:
How can we use concrete
resources to move students
to the understanding of
representational and abstract
math concepts.
Connect: 1 question you
still have about the using
manipulatives.
HOME LEARNING:
Review today’s lesson and
develop your next steps
to share this information
with teachers at your
school.
Ice Breaker (3 minutes)
1. Each of you has a tangram in your group.
2. Your job is to figure out what fraction the smallest
triangle represents of the complete tangram.
Answer………
What else could we use tangrams to teach?
Role Of The Teacher
“The mere use of manipulatives does not guarantee
that students understand concepts and procedures
and be able to connect these concepts to abstract
symbols without teachers making these connections
explicit.”
(Reimer & Moyer 2005)
Random Thoughts…..
How many of you feel you could become master teachers by
just watching a master teacher?
How many of you could build a computer after sitting in a
computer programming class and listening to your
professor tell you how to build a computer?
How many of you could fly a plane without ever touching the
controls prior to your first flight?
Why is this important to the classroom?
What Are Manipulatives?
•Physical objects used to visualize
abstract concepts and promote learning
•Concrete materials that can be
used when exploring math ideas,
performing math tasks or
solving math problems
What the Research Says….
 The most valuable learning occurs when students
actively construct their own mathematical
understanding
 Provide opportunities for children to explore, develop,
test, discuss, and apply ideas
 The use of physical materials is conducive to the
concrete kinds of learning that lay the foundation for
the development of mathematical understanding
NCTM, 2000
Some things you might
encounter…..
Why use manipulatives? They can’t use them on the
test?
Concrete/Kinestethic Conceptual/Visual Understanding Ability to
Understand the Abstract
My students can’t behave when they have toys in front of
them.
 Allow students 1-2 minutes to play with the manipulatives before
utilizing them.
 Set specific rules i.e. if they hit the floor, you lose yours!
C-R-A
 CONCRETE: The “doing” stage. Uses hands-on
physical (concrete) models or manipulatives to
represent numbers and unknowns.
 REPRESENTATIONAL : The “seeing” stage. Draws or
uses pictorial representations of the models
 ABSTRACT: The “symbolic” stage. Involves numbers
as abstract symbols of pictorial displays
 Conceptual understanding in math will usually
follow this order. Therefore it is best to use
manipulatives to introduce lesson and/or concept.
What grade should we start introducing manipulatives?
Why Use Manipulatives?
 Motivate students
 Feel like they’re playing
 Make math learning real and concrete
 Prompt discussions about math ideas
 Allow teachers to see students at work doing mathematics
 Increase engagement
 Accommodate various learning styles
 Visual learners
 Auditory learners
 Logical/Mathematical
 Musical/Rhythmic
 Bodily/Tactile/Kinesthetic learners

Learn through moving, touching, and doing
Role Of The Teacher
PLANNING IS KEY!!!!
 Choose manipulatives to support the lesson’s objectives!!
 Provide opportunity to become acquainted with
manipulatives before they are used in the lesson
 Consider the students when planning the lesson and
choosing the appropriate manipulatives
 Encourage the students to talk and write about what they
have learned.
 Help the students to move from manipulatives to paperand-pencil operations
 Discuss observations and to help students draw
connections
Center 1: Base 10 Blocks
Center 2: Geoboards
Center 3: Pattern Blocks
Stations (5-7 minutes each)
Place Value Blocks Activity: Make a list of how these can be used in
the classroom and then show me how many ways you can
represent the number 123 using base 10 blocks (thousands,
hundreds, tens, ones)
Geoboard Activity: Make a list of the many things this can be used
for, then using a geoboard, show me how you can teach
congruent/similar figures and angles
Pattern Blocks: Make a list of ways pattern blocks can be used and
then show me one equivalent fraction.
Geoboards
 Aid in the teaching of basic geometric concepts and in
developing conceptual understanding of area and
perimeter
 Improve communication skills, share ideas, and use
mathematical vocabulary.
Pattern Blocks
 A tool to learn and practice fractions
 Can be used to familiarize oneself with the different
shapes, their relations, and their proportions
Base 10 Blocks
 Aid to teach Base 10 place value
 Basic arithmetic operations
 Usually the foundation for understanding of number
sense
Challenge (with prizes)
Choices of Manipulatives
 Tangrams
 Pattern Blocks
 Counters
 Geoboard
 Base 10 Blocks
 Color Tiles (square inch tiles)
Challenge
3rd Grade: MA.3.G.3.2 Compose and Decompose Polygons
What manipulative and how?
Challenge
4th Grade: MA.4.G.3.3 Area of Composite Shapes
What manipulative and how?
Challenge
5th Grade: MA.5.G.5.4 Derive and apply formulas for areas of
parallelograms and trapezoids.
What do you notice about the formulas? How do
you prove it?
What manipulative and how?
Virtual Manipulatives
 National Library of Virtual Manipulatives
 Gizmos- www.explorelearning.com
Journal Reflection
How can we use concrete resources to move students to
the understanding of representational and abstract
math concepts.