3878797
Description
Mind Map by Daniela Barahona, updated more than 1 year ago
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Created by Daniela Barahona
about 9 years ago
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Understanding
our place value
System
- The children in miss Johnson´s, playing a digit game. It is an
excercise meaningfull for young children, it emphasizes the
positional nature of place value. Combines creating a
number, speaking a number, writting a number, and as time
allows, writting a realistic story using a number
- Base-Ten
- A Brief story: When commerce and the need for taxes
developed, civilizations made marks upt o 10, with
special symbol for 10. Our present system is described as
a Hindu-Arabic numeration system.
- unique features of the base-ten system
- Numeral
- Base-ten
is a
positional
system
- The value of the
whole number is the
sum of its parts or
the valye assigned to
each digit.
- Algorithms
- Numeral
- A Brief story: When commerce and the need for taxes
developed, civilizations made marks upt o 10, with
special symbol for 10. Our present system is described as
a Hindu-Arabic numeration system.
- Multiple conceptions of place value
- Five common ways of thinking
about the two-digit number.
- NUnitary-multidigit
- Decade and ones
- Sequence tens and ones
- Units of tens
- Integrated sequence
- NUnitary-multidigit
- Five common ways of thinking
about the two-digit number.
- Children´s unstructed strategies
- The traditional method
emphasizes learning to line up
digits and computing from right
to left often using boxes as
visual aid. When allowed to
approach the process on their
own, children universally begin on
the left. and regroup back and
fortg until they arrive at an
answer.
- The traditional method
emphasizes learning to line up
digits and computing from right
to left often using boxes as
visual aid. When allowed to
approach the process on their
own, children universally begin on
the left. and regroup back and
fortg until they arrive at an
answer.
- Manipulatives
- Proportional:
SHow
relationships by
size.
- Trading
games:
Count and
group.
- Teaching with
beansticks or
base-ten blocks:
proportional
materials.
- To add, to subtract,
to add with
regrouping, to
subtract with
regrouping, to
multiply, to connect
the materials to
papper and pencil
computation
- To add, to subtract,
to add with
regrouping, to
subtract with
regrouping, to
multiply, to connect
the materials to
papper and pencil
computation
- Teaching with the
abacus or money: are
nonproportional
systems. The abacus
shows numbers into the
billions. Play money
helps students see
relationships on value.
- Proportional:
SHow
relationships by
size.
- Estimating and rounding:
Many uses of numbers
are good guesses or
estimates
- Rounding is
relation to
position.
- When a number is
halfaway or more tha
halfaway we round
up.
- Rounding is
relation to
position.
- Understanding of place value
- Of the unit ten occurs when a
teacher presents a story problem
that could lend itself to efficient
solving if the student recognizes
the role of base ten.
- Of the unit ten occurs when a
teacher presents a story problem
that could lend itself to efficient
solving if the student recognizes
the role of base ten.
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