Number
This is crucial mathematical development because it expands quantitative understanding
Counting
Relationships with numbers
What is number sense?
At what age do humans begin to develop number sense?
toddler
Typical students can determine and work with __________ this as a quantitative concept
How much?
Students who verbalized their thoughts bring _______________ .
Linking _________ to quantities through counting helps children see relationships among numbers
numerals
Number sense encourages these ideas (name 2)
problem-solving
reasoning
discussing mathematical ideas
True or False: you can use language to help you better understand math?
true
Some students struggle to identify...
Which is more? OR Which is bigger?
"I just did it in my head" OR "I just know it"
Are students' comments who are unfamiliar with talking about their thinking
Name the Strategy: when a student is asked 5 + 3 they can count on from 5 to then 6, 7, and 8
“Count On”
True or False: Math can take on greater meaning with number sense rather than just a set of rules and procedures to follow.
True
There is no such thing as a
"math brain"
Children who have deficits in number relationships are associated with __________________.
math learning disabilities
Trying to guess a student's strategy is ...
...an instructional strategy for getting them to talk about their thinking.
Name this Strategy: when a student counts five on one hand and three on the other and then counts all of the fingers
“Counting all”
Model different methods for computing,
ask students to calculate mentally regularly
classroom discussions about strategies for computing,
pose numerical problems that have more than one possible answer.
What are instructional strategies for building number sense?
True or false: if students struggle with language they will struggle with arithmetic?
False, the brain can separate skills
Children who have not yet developed number sense cannot.... (four phrases)
understand less than, more than, fewer or greater
Abstract reasoning is best for what age students
early teen years because the frontal lobes are maturing
Name this Strategy: when a student breaks a number into parts 37 + 6 becomes (30 + 7) + (5 + 1) OR 6 is 5 + 1 and also 6 - 1 = 5
“Decomposition”
Without number sense these math topics (3) are tougher, name two.
measurement
geometry
data
speaking and language comes from the same area of the brain that controls
computation
The highest achieving students in the world have _________________.
growth mindset
When students don't have meaning behind their learning they resort to
memorization and procedures only