slcc2011 - traverse the metaverse
Post on 08-Jul-2015
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Teach sQ
Initial Counting
Initial Counting
Initial Counting
ItOnlyTakes1.org
Discovery 0-4
Practice
subitizing
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.
When determining a
2-digit subQuan, first
count or subitize the
containers then the
ones.
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.
Color
denotes
positives and
negatives
3-digit subQuan in 2D
3-digit subQuan in 3D
4-digit subQuan in 2D
4-digit subQuan in 3D
4-digit subQuan
in 2D & 3D
visually
represents
numbers.
Base-A(ten)
represents
quantity and
subQuan
simultaneously.
The ability of
camera
movement
facilitates rapid
recognition.
Identical quantities do not make
identical subQuans: 987 bA(ten)
sQ: 1316 b9; 1733 b8; 2610 b7
Identical subQuans do not
make identical quantities:
sQ 5413 bA (metapattern)
Quantities:
5,413; 3,981; 2,827; 1,921
SubQuan in the physical educational environment
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%).
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
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
• 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
Survey Results
Responses when asked
which environment was their favorite.
•Right-hand
• Combining
•SL discovery stations
• Zeros table
• Compliments
• Normalization
• Differences
• Pascal’s Triangle
More to come:
An sQ Tale
Up next:
1. 5th/6th grade research
2. Online high school
math research
Contacts
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