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Why use Investigations?. Investigations provide children with opportunities to perform calculations and use mathematical tools in context. They also provide a context for children to reason, explain thinking, to justify conclusions and to analyse situations; all indicators of mathematical litera
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1. Jill Wells Using Literature to Develop Investigations In Numeracy
2. Why use Investigations? Investigations provide children with opportunities to perform calculations and use mathematical tools in context. They also provide a context for children to reason, explain thinking, to justify conclusions and to analyse situations; all indicators of mathematical literacy.
(Diezmann, Watters & English (2001))
3. What are Investigations? Investigations are genuine, thought revealing activities that provide teachers with an insight into students mathematical literacy as they work in unfamiliar situations.
(Lesch, Hoover, Hole, Kelly & Post (2000))
4. Investigations involve:
Communication
Representation
Connections
5. Communication Students natural curiosity leads them to ask numerous questions. Their developing vocabulary allows them to communicate details and begin making accurate comparisons.
6. Engagement & Purpose
Students love of books and stories enables early childhood literature to be an excellent springboard for students to identify mathematics in stories and to relate it to the real world.
7. For example..... Shoes from Grandpa....
Mem Fox
New shoes
New socks
New skirt
New shirt etc...
8. What does Jessie REALLY want? (Literal)
If Jessie got her new jeans what colour might they be? (Opinion vs Fact)
If Jessie got a new shirt what colour might that be?
I wonder how many different sets of clothes Jessie could wear? How could we work it out?
Are you sure you have the right answer?
How can you check?
Explain to me how you got your answer?
How did you check to see if your answer was correct? What Questions Could We Ask?
9. What Maths Did We Use? Working Mathematically
Mathematical Strategies – representing problems with concrete materials
Checking & Verifying
Communicating
Patterning & Algebra
Patterning
Chance & Data
Outcomes
10. Extend... Data
Who would prefer to wear which outfit?
Which colour shirt would be your favourite?
How could we show all the favourites for the class?
How could we sort all these pieces of clothing? (colour, type of clothing)
Would other classes have the same preferences?
What about older classes/younger classes?
11. Alternate Activities - Inquiries
If Grandad bought you a pair of shoes, would he know what size to buy?
Do you all have the same size foot?
If Grandad didn’t know your size, what would be the best size to buy?
What would be the best colour to buy?
12. Investigations involve:
Communication
Representations
Connections
13. Break Out Groups Consider the mathematical investigations that some of these books could lead to...
What are some of the questions you might ask the students?
What are the areas of mathematics the students would cover?
Do the students have the opportunity to Communicate, Represent, Connect
14. Sharing Give synopsis of story
List the questions you could ask and the mathematical activities you could generate.
15. A Last Word......
Student to Teacher - Student to Student
Explaining
Justifying
Describing
Questioning
Classrooms where students are able to investigate their own questions provide environments for students to build self confidence and to construct their own understandings.
Students need the opportunity to recognise the mathematics, ask their own questions and determine their own investigations.
16. The End
Questions?
Contact: Jill jwell29@eq.edu.au