Math Strategies Pat Bruinsma,

ESA2

Session Purpose… Give you research that supports

children’s acquisition of math concepts Activities/games to use with children in

large and small groups› Web sites› Blackline masters› Accessible materials…dice, dominoes,

counters, number cards, deck of cards

Pat Bruinsma, ESA2

Guiding Principles for Teaching….

Inquiry based approach Teaching is informed

› Initial assessment and ongoing assessments Focused just beyond the child’s current

knowledge Uses instructional settings and tasks Assess-intervene-observe cycle is continuous Child is involved in sustained thinking and

reflection on thinking and results Students gain intrinsic satisfaction from

problem-solving and their progressPat Bruinsma, ESA2

Where do I want them

to be?

How will they get there?

How will I know when

they get there?

Where are they

now?

Teaching&

Learning Cycle

Pat Bruinsma, ESA2

Early Number Concepts

Pat Bruinsma, ESA2

Early Number Learning Number Word Sequences to 10 –

Forward and Backward Number Word Sequences to 30 –

Forward and Backward Number Word Sequences to 100 –

Forward and Backward Number Word Sequences to

1,000 – and beyondPat Bruinsma,

ESA2

Activities to Strengthen Children’s knowledge

Number line activities› Count on › Count back› Number comes before and after strategies

Online Activities http://www.abc.net.au/countusin/defaul

t.htm

http://www.primarygames.com/math/fishycount/index.htm

Pat Bruinsma, ESA2

Early Number Learning Structuring numbers 1-100 –

Using Jump Strategies Structuring numbers 1-100 –

Using Jump, Split, and other Strategies

Mental Computation involving addition and subtraction with 2- and 3-digit numbers

Pat Bruinsma, ESA2

Counting Activities Great to use as a warm up activity with

students in a large group or pull out situations. › Fish out of Water› Who has?› Number cards for sequencing & missing

number games› Hundreds chart – numbers handout

provided› Concentration

Pat Bruinsma, ESA2

Number Words and NumeralsDeveloping facility with number word sequences and learning to name numerals are important aspects of early numeracy acquisition.

Pat Bruinsma, ESA2

Overview Numbers are ideas or concepts Number words are the names for numbers Digits are the ten basic symbols in the

numerations system. The digits are 0, 1, 2,…9.

Numerals are the written symbols for numbers, for example, 27, 346, 8. The ten digits from 0 to 9 can be referred to as numerals.

Pat Bruinsma, ESA2

Assessment Tasks Forward number

word sequences – FNWS

Number word after Backward number

word sequences – BNWS

Number word before

Numeral identification

Numeral recognition Sequencing

numerals Ordering numerals Locating numbers in

the range 1-100

Pat Bruinsma, ESA2

Examples FNWS: Say: Start counting from one

please. I will tell you when to stop. Stop the child at 32. Start counting from 47 please. Stop the child at 55. And so on

Number word after: Say I am going to say a number and I would like you to say the number that comes after the number I say. What comes after six? After 11? And so on. Pat Bruinsma, ESA2

Games and ActivitiesWeb based and Blackline Masters

Pat Bruinsma, ESA2

Face Off Materials: 24 math manipulatives, two strips of paper with 12boxes numbered 1 to 12, and two dice (one set of materials foreach pair).

• A pair of students is given the materials listed above.

• Students place a math manipulative in each box on their strip of paper.

• Player one rolls the dice and adds the total then removes the manipulative in the appropriate box.

• Player two rolls the dice and does the same. • Play continues until one player is able to remove all

manipulatives.• A variation would be to place 5 manipulatives in

boxes 1 to 5 and then subtract after each roll. See worksheets for patterns Pat Bruinsma, ESA2

Name That Number Upper Elementary Grades

Materials: 20 – 3x5 index cards numbered 1 to 20 (one set for each pair).

• Each pair of students is given one set of cards. • They lay down five cards face down and then turn

them over. • Now they select the highest number, which

becomes their target number. • Next they try to make as many math expressions

as they can that equals the target number. • They get one point for every number they use in

the expression.• A variation would be to use only one operation at

time, such as addition, subtraction, etc.Pat Bruinsma, ESA2

Integer ChallengeMaterials: 50 - 3x5 index cards with positive and

negative integers written on them (50 cards for each pair).

A pair of students is given 25 cards each. Both players turn over two cards. They add the total for each player and the

winner keeps all four cards. They continue play until one player collects all

cards. A variation would be to subtract integers,

instead of adding.Pat Bruinsma, ESA2

Snakes and Numbers Counting Game Spin off of Chutes and Ladders

› http://www.bbc.co.uk/schools/numbertime/games/index.shtml

• Can play with a partner or alone

Pat Bruinsma, ESA2

Dominoes http://www.mathwire.com/strategies/m

atsdom.html Designs on Dominoes by Linda Underwood

› Unusual twist to the game of dominoes Colored master of the dominoes you can cut

and laminate if you want to use as cards Game #9

Unfortunately not available anymore.

Pat Bruinsma, ESA2

Dice Games Addition and Subtraction with 2 dice Place value with 3 different colors of

dice› Black-line masters attached

Pat Bruinsma, ESA2

Card Games Buy, collect or gather decks of playing

cards. Take out the Jacks, Queens, and Kings Addition War Subtraction War Go Fish

Pat Bruinsma, ESA2

Number Sense and Numerical Operations

http://www.mathwire.com/games/pvgames.html

Great activities outlined here with number cards

Note: Most blacklines are set up with 2 on 1 page for today available on:

www.patbruinsma.wikispaces.comin full size for download and copy!

Pat Bruinsma, ESA2

Thank You!

All resources can be accessed at:› www.patbruinsma.wikispaces.comLook for Math Strategies and Activities on the menu.

Pat Bruinsma, ESA2