Does the information presented support the mathematical claim?
Use your knowledge of mathematics to discover whether the claim is supported by the information provided.
Time To Complete
I Can Statements
I can explore the validity of mathematical claim by
- Applying mathematical operations correctly and accurately.
- Using tools, such as truth tables, counter-examples, and other aides to reasoning.
- Making accurate inferences based on the information presented.
I will know if my topic is of high quality if it:
- Applies mathematical operations correctly and accurately.
- Uses tools, such as truth tables, counter-examples, and other aides to reasoning.
- Makes accurate inferences based on the information presented.
Suggestions for Assessing Student Readiness to Move Forward:
- Confer with students, asking probing questions about their process of examining the claim to gauge how well the topic meets the quality criteria.
- Ask students to explain (orally or in writing) their process and how it meets the quality criteria.
- Ask students to self-evaluate their work after completing one of the activities below.
Ask students to create a truth table to test and track the logic of their premises.
Provide students sentence starters to help them frame their examination of the claim.
Ask students to generate lists of examples and non-examples for the generalization.
Provide a mini-lesson on the differences among empirical, anecdotal, and logical proofs and evidence.
Provide students with examples of empirical, anecdotal, and logical proofs and evidence, asking them to differentiate and sort them.
- Resource discussing the distinction between empirical examples and proof (within the context of the claim that the sum of two odd numbers is always an even number): http://nrich.maths.org/6664
- How to Build a Truth Table: http://www.idiotsguides.com/education/geometry/geometry-101-how-to-build-truth-table/
- Sample math sentence starters: https://elementarynumbertalks.files.wordpress.com/2016/08/math_talk_sentence_starters.pdf
- Using examples and non-examples: http://theelearningcoach.com/elearning_design/examples-and-nonexamples/
- Differentiate among empirical, anecdotal, and logical evidence (ELA examples, but can be used as is or adapted): https://www.texasgateway.org/resource/differentiate-among-empirical-anecdotal-and-logical-evidence-english-ii-reading