daily math investigations...not whole math program. •daily math investigations are only a part of...

55
Daily Math Investigations ~ Meaningful Math Routines ~ Part 2 Sandra Ball October 2013

Upload: others

Post on 02-Jun-2021

3 views

Category:

Documents


0 download

TRANSCRIPT

Page 1: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Daily Math Investigations~ Meaningful Math Routines ~

Part 2

Sandra Ball

October 2013

Page 2: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Entry Tasks

• Find a seat , put your stuff down.

• W alk around and see the Entry

Task ideas.

• Explore…Discover…Share…

Page 3: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

startingwiththebeginning.wordpress.com

Page 4: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Why Calendar?

W hy do we do this anyway?

W hat are we hoping our students will learn?

W hat do you keep?

W hat do you let go?

Page 5: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

What Entry tasks did

you try?

• W hat did you already have?

• W hat did you make?

Page 6: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Did you notice…

engagement

deep learning

connections

Page 7: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Re-thinking...

Entry Tasks

and

Rich Routines

Page 8: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Not Whole Math

Program• Daily Math Investigations are

only a part of the ‘Big Math

Picture’

• Provide opportunit ies for all

students to make choices, explore

and build mathematical

connections.

Page 9: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Criteria for quality

calendar tasks

Interactive

All students are DOIN G math

Good questions are asked to

promote thinking

Page 10: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Criteria for quality

calendar tasks

Opportunit ies for oral language

Conversations exist between

teacher and students

Frequent opportunit ies for

students to describe their thinking,

to reason

Page 11: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Criteria for quality

calendar tasks

Relevant

Connected to classroom context

and students’ lives

Page 12: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Criteria for quality

calendar tasks

Focused on important math

Connected to the PLOs

Concepts, not just procedures

Page 13: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Quality Daily Math Tasks

Get them engaged

Get them thinking

Get them reasoning

Page 14: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Entry tasks are...

invitational, play based,

exploratory

set up for students upon arrival

designed to span the strands

opportunit ies to apply

knowledge

Page 15: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Entry tasks AREN’T...

worksheets

rote practice

printing practice

Page 16: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

RICH ROUTINES

Page 17: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Rich routines are...open-ended thinking tasks

done in larger groups

more structured, but not

boring

concepts worth revisit ing

increase in complexity as they

are explored over and over

active and engaging for all

students

Page 18: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Rich routines AREN’T...

rote counting aloud

context-free activit ies

one student, one

teacher interactions

Page 19: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,
Page 20: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

All About Number -

Thinking Frames

Page 21: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

All About Number -

Thinking Frames

Page 22: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

6

6

legs on a human

stuffies for sleeping

friends6

Page 23: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

20

20

printing my name

recess

chewing broccoli

20

Page 24: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,
Page 25: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Cuisenaire Investigations

gett ing a linear sense of

number

Page 26: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Cuisenaire Investigations

Page 27: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Cuisenaire Investigations

Page 28: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Cuisenaire Investigations

Page 29: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Exploring the Open

Number Line

1 20

1 100

Page 30: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Open Number Line

How would you solve this equation?

46 + 55 = or 98 – 66 =

Page 31: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Using the Open Number Line

46 + 55 =

98 – 66 =

Page 32: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Exploring the 100 Chart

Page 33: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Math Picture of the Day

H ow would you

count the black

birds?

Page 34: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Math Picture of the DayI f the bird has the value of 100, what might the value of

the other animals be?

H ow can you figure out the values of the other animals?

Page 35: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,
Page 36: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Math Picture of the Day

Page 37: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Counting Collections

Page 38: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Counting Collections

Page 39: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Counting Collections

Page 40: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Messing With Data

Page 41: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Math Actions

Page 42: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Math Actions

Page 43: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Number of the Day

6 + 2

Page 44: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Referent of the Day

Page 45: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Teeter Totter Tales

Page 46: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Teeter Totter Tales

Page 47: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Teeter Totter Tales

Page 48: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Teeter Totter Tales

Page 49: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

What have you heard?

What connections have you made?

Page 50: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Daily Math:

Things to consider...

t iming

how long is too long?

activity level of the students

who’s doing the math?

grouping

small group, whole group

Page 51: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

content

what important math will be explored?

H ow does it address the needs of the group?

connectedness

what connections are being highlighted?

engagement

what kinds of questions will I ask to keep

students thinking?

Daily Math: Things to consider...

Page 52: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

W hat can I learn about my students?

W hat can I watch and listen for?

W hat is the important math?

W hat are the learning intentions?

Assessment

Page 53: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Start Slow…

Enjoy!

Page 54: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

Remember…Get them engaged

Get them thinking

Get them reasoning

Page 55: DAILY MATH INVESTIGATIONS...Not Whole Math Program. •Daily Math Investigations are only a part of the ‘Big Math Picture’ •Provide opportunities for all students to make choices,

TBC 166972

TBC 166970

TBC 166969