What is My Child Learning in Math and How Can I help

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What is My Child Learning in Math and How Can I
help?

• Caroline Rosenbloom
• Instructional Leader, Mathematics Numeracy
• Toronto District School Board
• email caroline_at_mathplay.net
• website http//mathplay.net

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To give you a better understanding of the
mathematics your child is learning, you will

• get a glance of the mathematics curriculum
• view what students are thinking through samples
  from EQAO and the Ministry exemplars
• have some tips and resources to help you help
  your child with homework
• have the opportunity to ask questions

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What was your math experience like when you went
to school?
C
Great! Loved math!

F
It was OK. It was just another class.
D
Stressed me out! Didnt like it and didnt find
it relevant.

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Do you feel you were good in math?
C
Yes!

F
I was OK.
D
No!

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Lets do some math!
What do you think will happen when we cut this
circle down the middle?
Turn to the person beside and make some
conjectures (predictions) together.
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The Ontario Mathematics Curriculum

• Available at
• http//www.edu.gov.on.ca/eng/curriculum/elementary
  /math.html

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Revised Mathematics Curriculumin 2005
There are 5 strands of math
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relate
develop
communicate
select

• Reasoning Proving
• Make investigate conjectures

• Problem
• Solving
• Deepens understanding

• Reflecting
• Monitors thinking

represent
7 Mathematical Process Expectations
estimate

• Selecting Tools
• Computational Strategies
• variety

• Communicating
• Orally, visually written
• vocabulary

apply

• Connecting
• Content context

investigate
justify
compare
explain
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Technology and Math
"Do not let what you cannot do interfere with
what you can do.
John
Wooden
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Understanding Mathematics

Basic skills are useless without conceptual
understanding.
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Number Sense Numeration

• Quantity Relationships
• Counting (up to Gr. 5)
• Operational Sense
• Proportional Relationships (Gr. 4-8)

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Number Sense Numeration

• When is 10 a large number?

• prison sentence
• minutes in a time-out
• 10 ct diamond ring

When is 10 a small number?

• candies in your Halloween bag
• minutes left at the playground
• hairs on your head

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Number Sense Numeration
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Number Sense Numeration
Greg Tangs books are excellent for showing
patterns in addition and multiplication .

• How many fish do you see?
• How did you get your answer?

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Measurement

• Attributes, Units, and Measurement Sense
• Measurement Relationships

Distance
mass
Capacity
Time
Volume
Area
Surface Area
Perimeter
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Patterning Algebra
Patterns and Relationships Expressions and
Equality (up to Gr. 4) Variables, Expressions
and Equations (Gr. 5-8)
1 2 3
What does the 4th table look like? What about
the 10th? What about the 100th?
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Geometry Spatial Sense
Geometric Properties Geometric
Relationships Location and Movement
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Data Management Probability
Collection and Organization of Data Data
Relationships Probability
A
C
A
B
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Assessment Evaluation

• Assessment is the zipper that connects teaching
  and learning.
• K. Patricia Cross

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What can I do at home?
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Play games

• card games
• crypto
• go fish
• rummy
• hearts
• concentration
• and more

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Children can
create a chore timetable
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Children can
measure ingredients while cooking . . . change a
recipe by doubling it or halving it
Brownies Melt 1/2 c shortening with 2 ounces of
unsweetened chocolate squares. Beat 2 eggs then
slowly add 1 c of sugar. Beat until light. Add
3/4 c flour, 1/2 tsp baking powder, 1/2 tsp salt
and 1 tsp vanilla. Mix. Bake in an 8x8x2 pan
at 3500 for 30 minutes.
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Children can
create a shopping list from a flyer and estimate
the cost of the items
Items baseball 6.99 shirt 21.99 CD 15.99 penc
il case 5.99 shoes 59.99 shorts 29.99
This will cost about 5201556030 . . . About
135 or 140 . . . Plus tax . . .10 is 14 and 5
is 7 . . . So another 20 . . . about 160 . . .
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Children can
Keep track of their allowance and bank account.
Pay for items when shopping and check for the
correct change.
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Children can

• Provide directions
• ask them to explain how to get to the store
• ask them to draw a map of how to get to the store
• ask them to read a map and describe how to get
  somewhere unknown

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Ask your child to

• tell the time
• set their alarm clock
• plan their TV watching schedule. . .

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Ask questions related to the mathematical
processes
Communicating How can you express (explain,
describe) this in a different way?
Problem Solving How does this problem remind
you of a problem you have solved before?
Representing What would other representations
of this problem demonstrate? Explain why you
chose this representation. How could you
represent this idea algebraically? graphically?
Reasoning and Proving How can we verify this
answer? Why does this work?
Selecting Tools and Computational Strategies
How did the learning tool you chose contribute to
your understanding/solving of the problem? assist
in your communication? What other tools did you
consider using? Explain why you chose not to use
them. Is an exact answer necessary for this
question? Would estimation be adequate? Explain.
Connecting What other math have you studied
that has some of the same principles, properties,
or procedures as this? When could this
mathematical concept or procedure be used in
daily life?
Reflecting What do you notice about? What
patterns do you see?
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Have a positive attitude towards learning
mathematics

• provide a positive work environment
• be supportive
• Remember wait time I and II
• Provide at least five seconds of
• thinking time after a question and
• after a response.

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Resources Websites
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Remember
Make FAMILY MATH part of your day!
For a copy of this slideshow and other resources
email caroline_at_mathplay.net or check the website
at http//mathplay.net (available after May 8th,
2006)