Parent Information Night 2010

Parent Information Night

Corry Stark, Math AISI CoordinatorJanuary 2010

Math HomeworkWhat does it look like for you and your child?

Sometimes it can be just as frustrating for you as it is for your child.

or

A better understanding of the new math curriculum will help you and your child.

Public Schooling Begins

All Students are processed:

in year groupings

at the same rate

through the same pre-set curriculum

through bite sized pieces in the same order

Procedure shifts to Constructed Learning

– Procedural learning focuses on rote memory or learning facts or formulas in isolation.

– Constructed learning requires students to pull new learning into existing neural pathways.

– Mad Minutes are replaced by learning strategies for basic facts to automaticity.

– *Provincial Achievement Tests will reflect this change.

No more “Drill and Kill”

Debbie Duvall

• Objectives have been streamlined at each grade level.

– More time for deeper, richer concept development.

– Students develop and communicate their understanding.

Less is More

Students working with more than one model.

Collaborative learning.

Problem based learning.

Students developing efficient personal strategies.

Students communicating understanding.

Less worksheets … More “hands on” …. Richer discussion.

You should see …

Grade 2 students worked with tiles to make groups

Concrete model - tiles

Symbolic representation

Using the “doubles” strategy to explain why 6 is an even number.

1. Build Number Sense

2. Pre-Algebraic Thinking

3. Teaching “Through” Problem Solving

4. Developing Personal Strategies

The Big Four

• Subitize – collections

• Comparing Numbers

• Understanding Operations– number lines– benchmarks and referents– place value – balances

• Mental Math and Estimation

Number Sense

• Help students “SUBITIZE”

• Recognize quantity at a glance

• Recognize part – whole relationships

• Helps students transform quantity

Dot Collections

I saw 2 columns of four

No, I moved them in my head.

Is that what I showed?

DOT COLLECTION WEBSITE

Ten Frames

As students mentally “move” dots to form familiar pattern, they are developing flexibility of thought and dynamic imagery. - Grayson Wheatley

Mental mathematics is the cornerstone of all estimation processes

0 1

Draw a number line like this one.

Place the fractions 3/8 and 4/7 on the number line.

Explain to a partner how you decided where to place each fraction.

Mental Math and Estimation

Students with number sense:naturally decompose (can break down) numbers

use particular numbers as referents

can solve problems using base ten benchmarks: 1,10,100,1000

understand the relationships among operations

estimate a reasonable result for a problem

want to make sense of numbers, problems, and results.

• Equal, not equal

• Balance equations

• Flexible thinking

Pre-Algebraic thinking

Concrete representation of balance

Student models balance.

Pictorial Representation

Student one Student two

4 + 5 = 7 + 2

Moving to symbolic representation

Listing equations of equalitySymbolic Representation

• Should be meaningful to students

• Should accommodate different abilities

• Provide opportunity for collaboration with peers.

• Students represent understanding with concrete, pictorial and symbolic models.

Problem Solving

• There are 7 cookies on the plate. Some are peanut butter and some are chocolate chip. What is on the plate?

• How many solutions?

• Can you use 7 and 0?

• Could students learn facts for seven by solving this problem?

Grade one example

Ladybugs can have 2, 5 or 7 spots.

My friend has a jar of ladybugs.

He says altogether there are 18 spots.

Grade Two Example

How many ladybugs could be in the jar?

Student One

Student Two

• Put MORE emphasis on constructing rich learning opportunities.

• Put LESS emphasis on PROCEDURE.

We want teachers to …

Through Student Engagement

Students will develop their own personal strategies.

Eg. Ma & Pa Kettle

Give a man a fish, and you feed him for a day. Teach a man to fish, and you will

feed him for a lifetime -

Chinese Proverb

Verbal

Verbal/visual

Hands on

Summary of the Retention of Learning

From How the Brain Learns David Sousa

• Students know “math is everywhere…..”

• Have a positive attitude towards math.

• Want to try new strategies to complete tasks.

• Are curious … want to understand “why?”

• Engage and persevere to complete tasks.

• Communicate their understanding.

Success …