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Teach sQ

SLCC2011 - Traverse the Metaverse

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Research results from Dream Realizations and ItOnlyTakes1 regarding pre-k ability to name large quantities through subQuan in various bases.

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Page 1: SLCC2011 - Traverse the Metaverse

Teach sQ

Page 2: SLCC2011 - Traverse the Metaverse

Initial Counting

Page 3: SLCC2011 - Traverse the Metaverse

Initial Counting

Page 4: SLCC2011 - Traverse the Metaverse

Initial Counting

Page 5: SLCC2011 - Traverse the Metaverse

ItOnlyTakes1.org

Discovery 0-4

Practice

subitizing

Page 6: SLCC2011 - Traverse the Metaverse

ItOnlyTakes1.org

Discovery 0-4

Practice

subitizing

Starting with the baseline, this flash

program leads you from one digit, two

digit, two digit in various bases, then

three digit (color) in many bases.

Page 7: SLCC2011 - Traverse the Metaverse

When determining a

2-digit subQuan, first

count or subitize the

containers then the

ones.

Page 8: SLCC2011 - Traverse the Metaverse

When determining a

2-digit subQuan, first

count or subitize the

containers then the

ones.

Here we have 4 full

containers (segs) and

3 left over ones. This

is written as:

43 b7

Remember, this is not a

quantity.

Page 9: SLCC2011 - Traverse the Metaverse

Color

denotes

positives and

negatives

Page 10: SLCC2011 - Traverse the Metaverse
Page 11: SLCC2011 - Traverse the Metaverse

3-digit subQuan in 2D

Page 12: SLCC2011 - Traverse the Metaverse

3-digit subQuan in 3D

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4-digit subQuan in 2D

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4-digit subQuan in 3D

Page 17: SLCC2011 - Traverse the Metaverse

4-digit subQuan

in 2D & 3D

visually

represents

numbers.

Base-A(ten)

represents

quantity and

subQuan

simultaneously.

Page 18: SLCC2011 - Traverse the Metaverse

The ability of

camera

movement

facilitates rapid

recognition.

Page 19: SLCC2011 - Traverse the Metaverse

Identical quantities do not make

identical subQuans: 987 bA(ten)

sQ: 1316 b9; 1733 b8; 2610 b7

Page 20: SLCC2011 - Traverse the Metaverse

Identical subQuans do not

make identical quantities:

sQ 5413 bA (metapattern)

Quantities:

5,413; 3,981; 2,827; 1,921

Page 21: SLCC2011 - Traverse the Metaverse

SubQuan in the physical educational environment

Page 22: SLCC2011 - Traverse the Metaverse

Initial Results

By the end of all the first

sessions, 5 out of 9 children

could recognize and label 4-

digit subQuans accurately in

an immersive environment

(56%).

Page 23: SLCC2011 - Traverse the Metaverse

Q148%Q2

37%

Q315% On the follow-up questions,

85% of the children were able

to name the subQuan with

only one or two phrases of

the question.

Follow-up Results

Page 24: SLCC2011 - Traverse the Metaverse

Q148%Q2

37%

Q315% On the follow-up questions,

85% of the children were able

to name the subQuan with

only one or two phrases of

the question.

Follow-up Results

Page 25: SLCC2011 - Traverse the Metaverse

• Inconclusive: one child from each group noticeably grasped subQuanning.

• Most fluidity was found in Group 5: P-I-V.

• Physical environment found to be most difficult.

• Immersive environment found to be the most interesting.

• Virtual environment found to be the easiest.

Differentiation Between Media

Page 26: SLCC2011 - Traverse the Metaverse

Survey Results

Responses when asked

which environment was their favorite.

Page 27: SLCC2011 - Traverse the Metaverse

•Right-hand

• Combining

•SL discovery stations

• Zeros table

• Compliments

• Normalization

• Differences

• Pascal’s Triangle

More to come:

Page 28: SLCC2011 - Traverse the Metaverse

An sQ Tale

Page 29: SLCC2011 - Traverse the Metaverse

Up next:

1. 5th/6th grade research

2. Online high school

math research

Page 30: SLCC2011 - Traverse the Metaverse

Contacts