A conjecture is “an opinion or idea formed without proof or sufficient evidence” but with good reason, in other words or, it's providing a “reasonable guess”. We make conjectures in all subjects not just mathematics and we can use different vocabulary for each strand to help our students understand what they are doing when they make a conjecture. A visual that we discussed is an umbrella with “Conjecture” as the overhanging idea and different synonyms to help our students be aware of vocabulary they can use for the different subjects.
Moving along with our Math Adventure, we are developing a clearer understanding of what is needed for students to demonstrate their ability in Reasoning and Proving. Students are being exposed to the Success Criteria for Reasoning and Proving best suited for their age group.
Here’s an example with language that can be used in a variety of age groups:
Success Criteria for Reasoning and Proving
1. Make a conjecture (Reasonable Guess)
2. Explain why you made this conjecture and give reasons for your thinking (Justify)
3. Use manipulatives (objects) to show your thinking in more than one way (Prove)
A "Conjecture Umbrella"
Remember to come out to our Family Math Mania Night on April 6th to learn more about all this and how you can help your children make reasonable conjectures at home....