Transcript Conjectures/Justification Session 5 Outcomes for Conjectures/Justifications    When you want the students to take informal knowledge and make it formal. Proof that it will always work It.

Conjectures/Justification
Session 5
Outcomes for
Conjectures/Justifications
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When you want the students to take informal
knowledge and make it formal.
Proof that it will always work
It is truly based on mathematical rules
Big Ideas about Conjectures
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Read individually
Share at your table
Talk about it as a large group
Review the introduction and editing of
conjectures in the classroom.
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Read pages 47-53
Post one “big idea” from the reading on chart
paper to discuss after the break.
Conjectures
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Go through a series of T & F number
sentences 27 + 0
Look at the series, can someone tell me a
mathematical rule to help us solve these
math problems
Conjecture examples
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27-0
Can someone suggest a mathematical rule
for this series
How do we know this is true
Watch video clip 3.2 and 3.3
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Generating a Conjecture Using Number
Sentences
Justification
Kids can prove to you that their answer is
mathematically correct
 Examples of justification must be proven by
using concrete examples
 Students will begin to say “I know this”
 Use justification to make students
understand a rule, why it works, and to prove
that the algorithm will always work
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Handout
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Big Ideas of Justification
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Work through these problems and provide proof
for each one.
Present justifications to the rest of the group
Watch video clip 5.3, 5.1 and 5.8
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Watch students make conjectures and justify
Convention
What we just tell them
-all symbols +, -, /, x (start talking about
them when they appear in context)
-definitions-when it comes up in conversation
“I counted along the outside”,
mathematicians call this perimeter
-when they learn notations don’t use words
anymore, use “add” instead of “plus”
Accountibility
Developing Teachers Eyes and Ears (3-2-1)
 Do in class before you leave and hand in
3-2-1
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