For the Pre-K Teacher

Everyday Math

For the Pre-K Teacher

Trends in International Mathematics and Science Study (TIMSS 2007)

Focused on math and science achievement of 8th graders

38 countries including the USA participated

Results of TIMSS 2007

8th grade U.S. students fell in the middle with a score of 508

Top 5 countries:

Chinese Taipei (598)

Republic of Korea (597)

Singapore (593)

Hong Kong (572)

Japan (570)

Correlation between:

National Council of Teachers of Mathematics (NCTM)

Florida Voluntary Prekindergarten Ed. Standards

National Council of Teachers of Mathematics Strands

Number Sense Concepts and Operations

Algebraic Thinking

Geometry and Spatial Sense

Measurement

Data Analysis and Probability

NCTM and Florida Voluntary Prekindergarten Education Standards

The VPK Standards are taken directly form the NCTM strands.

Number Sense and Operations

Involves ability to count

Constructs sets of objects

Uses 1:1 correspondence

Understands if two sets are equal

Understands if two sets have more or less

Manipulating sets of numbers

(combining sets of concrete objects and taking them away from set)

Algebra
(Patterns and Seriation)

Recognizes patterns

Creates patterns

Orders objects in a series

Geometry and Spatial Sense

Recognizes, manipulates and compares 2 dimensional shapes

Recognizes, manipulates and compares 3 dimensional shapes

Explores symmetry

Uses positional words to understand and describe their world

Measurement

Compares quantities of:

Length

Weight

Height

Data Analysis and Probability

Analyzes data

Making predictions

Number Sense
Demonstrates understanding of one to one correspondence

Passing out a napkin, cup, snack or utensil to each child at snack time

Setting the table at house area

Counting toys in a pile while keeping track of which toys have already been counted

Pointing to each object as they count and assigning the appropriate number to each object

Add ice cube trays or egg cartons to toy area so children can place ONE object in each section as they count

Number Sense
Demonstrates understanding of one-to one correspondence to determine if 2 sets are equal

Counting two separate piles of counters to determine if they are equal

Counting two separate boxes of crayons to determine if they are equal

Provide materials for 1:1 matching: pegs/pegboards, nuts/bots, jars/lids, bottles/caps

During snack count the napkins and cups to see if the two sets are equal

Teddy Bear Counters (Size and Color)

Number Sense
Shows understanding of how to count and construct sets

Child counts sets 1-5

Child counts sets 1-10

Child counts sets 1-15

Count out a set of 5 unifix cubes

Count how many boys (a set), how many girls (a set)

Uses the term SET

Unifix Cubes

Picture # 4 Number Sense Counting objects

Number Sense
Shows understanding by participating in the comparison of quantities

Determine which set has MORE

Determine which set has LESS

Determine if two sets are EQUAL

Dominoes

Counting Keys

Number Sense
Assigns and relates numerical representations among numerals (written), sets of objects, and number names (spoken) in the range of five to ten

Incorporate counting into everyday activities and identifies which written numeral represents that amount

Written numerals are a symbol to represent quantity. They are more abstract and should always be coupled with concrete objects for the young learner.

Unifix Stairs
Quantity to numeral

Picture # 8 Number Sense
Quantity of objects to numeral

Picture # 15 Number Sense
Quantity of objects to numeral

Magnetic Numbers and Counters

Number Sense
Quantity of objects to numerals

Number Sense
Counts and knows the sequence of spoken number names

Numbers 1-12 must be memorized when counting

Numbers 13-19 have a pattern; 14 = four + teen, 16 = six + teen.

Number Sense
Shows understanding of and uses appropriate terms to describe ORDINAL positions

First, second, third, fourth, fifth

Identifying who is first in line

Placing an item in the appropriate position: put mama bear first, baby bear second, and papa bear third.

Play Simeon Says: Touch your head first, your mouth second.

Number Sense and Operations
Shows an understanding of how to combine sets and remove from a concrete set of objects

Once children can count ten objects, they can begin to ADD (combine) sets of objects together and SUBTRACT (remove) objects from sets.

Give children three blocks and then ADD two more blocks. Ask: Do we have the SAME amount that we started with or MORE?

Number and Operations
Shows understanding of how to ADD (combine) sets and SUBTRACT (remove) from a concrete set of objects

Child indicates there are LESS objects when they SUBTRACT (remove) objects from a SET.

Give children 5 M&M’s. Remove 3 M&M’s. Ask them if they have more or less then when they started.

Children understand the concept of MORE quicker. LESS is a harder concept because it is more abstract.

Algebra
Recognizes patterns and non-patterns

Recognizes the pattern in a predictable book and says the next line before turning the page (Brown Bear, Brown Bear)

Arranging cube blocks in a repeated pattern (green, blue, green, blue, green, blue)

Copying a sound pattern (two claps, pause, two claps, pause)

Picture # 17 Algebra
Simple repeating pattern

Picture # 2 Algebra
Simple repeating pattern

Algebraic Vocabulary

Math Links

Algebra

Sorts and classifies objects by color, shape, size, or kind

Algebra
Sorting by color

Picture # 13 Algebra
Sorting by color

Picture # 17 Algebra
Sorts and matches objects

Algebra
Patterns and Seriation: Orders, compares and describes objects according to a single attribute

Arranging their block buildings according to height (tall, taller, tallest)

Describing three unit blocks as long, longer, longest

Ordering teddy bear counters from small, to medium, to large.

Child verbalizes why objects were placed in order with support

Geometry and Spatial Sense
Understands various two-dimensional shapes

Circle

Triangle

Square

Rectangle

Oval

Rhombus

Trapezoid

Geometry
2-Dimensional Shapes

Geometry and Spatial Sense
Geoboards

Geometry and Spatial Sense
Understands various two-dimensional shapes

Sorts shapes into separate containers

Putting unit blocks away by size and shape

Construct shapes using various materials (popsicle sticks, straws, play doh, masking tape)

Analyzes details of shapes (corners, curves, sides)

Geometry and Spatial Sense
Positions (stacking on top of another)

Geometry: Unit Blocks
Spatial relations/positions

Picture # 1 Geometry
Spatial relations/positions

Picture # 7 Geometry
Spatial Relations/positions

Geometry Handout
Unit Block Building Vocabulary

Unit

Half-unit

Double unit

Quadruple units

Pillars

Small cylinders

Large cylinders

Y switches

X switches

Circular curves

Elliptical curves

Small triangles

Large triangles

Floor boards

Roof boards

Ramps

Right angle switches

Block Play

Pre-K ESE Website

Teacher Handbook Button

H5. Block Structure

H6. Block Play

Geometry and Spatial Sense
Understands various two-dimensional shapes

Points to named shape

Names displayed shape

Play I Spy using shape sample or shape finder

Geometry and Spatial Sense
Shape Finders

Geometry and Spatial Sense
Understands the number of SIDES of two-dimensional shapes.

Counting the SIDES of a square, rectangle, triangle, etc..

Analyzing a circle and determining there are no sides

Provide a “feely box” with various shapes inside. Let children guess what shape it is.

Ask them to find you a shape that has 3 sides in the feely box.

Geometry and Spatial Sense
Attribute Blocks

Geometry and Spatial Sense
Shows understanding that two-dimensional shapes remain the same in different orientations

A shape always keeps the same name regardless how it is positioned (unlike alphabet letters)

Flip

Slide

Rotate

Geometry and Spatial Sense
Tangrams

Geometry and Spatial Sense
Tangrams and Picture Cards

Geometry and Spatial Sense

Matches object to outlines of their shapes.

Geometry and Spatial Sense
Pattern Blocks

Geometry and Spatial Sense
Pattern Blocks and Cards

Picture # 9 Geometry
Matches object to outlines of their shape

Geometry and Spatial Sense
Understands various three-dimensional shapes, including sphere, cube, cone, cylinder.

Sorts and categorizes three-dimensional shapes

Finds real objects that represent 3-dimensional shapes (sphere=ball, globe, orange), (cube=box, cube block) (cone=ice cream cone, (cylinder=can, paper towel roll, toilet paper roll)

Geometry and Spatial Sense
3-dimensional shapes

Geometry and Spatial Sense
Geometric Foam Shapes

Geometry and Spatial Sense
Analyze and construct examples of symmetry and non-symmetry in 2-dimensions, using concrete objects

Trace outline of child’s body on butcher paper. Place a piece of yarn down the middle of body.

Fold a piece of paper in half horizontally

Fold a piece of paper in half vertically

Show pictures of a butterfly and talk about how the two sides are the same

Geometry and Spatial Sense
Shows understanding of positional words

Above

Below

Next to

Beside

On top

Inside

Outside

Under

Geometry and Spatial Sense
Shows understanding of positional words

Use positional words when lining up for lunch (Stand behind, or stand beside, etc..

Give directions using positional words (Put the paint cups under the sink, sit on top of the table, etc..)

Play games like Simon Says with positional words

Create obstacle courses and use positional words

Geometry and Spatial Sense
Obstacle Course Options
Spatial relations/positions

Geometry and Spatial Sense
Can tell the difference between orientation terms such as horizontal, diagonal, and vertical

Making their arms or bodies represent orientation terms

Using popsicle sticks, or crayons, or yarns to represent orientation terms

Find traffic signs in books that have diagonal lines (railroad crossing, do not enter)

Look at various alphabet letters—which have horizontal, diagonal, or vertical lines.

Measurement
Child measures or compares the length of one or more objects using a non-standard reference

Examples of Non-Standard

Measurement Items

Hands

Feet/Shoes

Paperclips

Yarn

Plastic rainbow math links

Pencils

Measurement
Child uses measurement vocabulary and comparative terminology

Measurement Vocabulary: length, weight, height

Comparative Terminology: more/less, shorter, longer, heaviest, lightest, etc..

Measurement
Measuring weight

Measurement
Measuring length

Picture # 3 Measuring length with rulers (standard measure)

Picture # 5 Measurement
Measuring liquid volume

Picture # 12 Measurement
Measuring height with ruler

Picture # 14 Measurement Passage of Time

Measurement
One Minute and Five Minute Sand Timers

Probability and Data Analysis
Represents and analyzes data

Collecting and sorting materials by type, color, shape

Categorizing information with charts and graphs

Analyzing differences

Analyzing similarities

Predicting before counting or sorting

Probability and Data Analysis

Data: Statistics is the study of data. It involves collecting, sorting, representing, analyzing, and interpreting information.

For the young child, the focus should be an informal experience with data collection and organization and the display of data.

Probability: It should focus on the most basic concepts such as certainty,

possibility, probability, and the vocabulary used to express these ideas.

Probability and Data Analysis
Represents and analyzes data

Vertical bar graphs

Horizontal bar graphs

Pie graphs

Charts

Question of the Day

Data Analysis
Pocket Chart

Data Analysis
Question of the Day

Picture # 6 Data Analysis
Collecting Data and Analyzing Data

Data Analysis
Bar Graph

Picture # 11 Graphing

Data Analysis
Graphing

Picture #10 Vertical Graphing

Data Analysis
Graphing

Probability

Participates in games or activities dependent upon chance (i.e., using spinners or number generators/dice).

Probability
Random Choice Spinners

Probability
Soft Number Generators (Dice)

Probability
Conscious Discipline Relaxation Cube

Review Self-Study Handout

Riverdeep on Dade Website

Go to www.dadeschools.net

Click on Student

Under resources, click Riverdeep

Millie’s Math House

Sammy’s Science House

Bailey’s Book House

Trudy’s Time and Place House

McGraw-Hill Wright Group
Att. Order Processings
19201 120th Ave, NW, Suite 100
Bothell, WA 98011-9512
1-800-532-2371

0732729475 Let’s Be Clowns $21.00

0732729459 Milly and Molly $21.00

0732729505 Who Has More $21.00

073272597 I Think I’ll Go Flying $21.00

0732729483 Pat and Penny $21.00

0732729467 The Hiding Game $21.00

0732726239 Wayne’s New Shape $21.00

Pre-K ESE Website

prekese.dadeschools.net

Click on curriculum

Click on Math

Good Math Websites

http://www.highscope

http://math.about.com/od/earlynumeracy/

http://math.about.com/blbeginnings.htm

http://www.topmarks.co.uk/Parents/Numbers.aspx