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Adams, Anne E.; Ely, Rob; Yopp, David – Teaching Children Mathematics, 2017
The twenty-first century has seen an increased call to train students to craft mathematical arguments. The third of the Common Core's (CCSS) Standards for Mathematical Practice (SMP 3) (CCSSI 2010) calls for all mathematically proficient students to "construct viable arguments" to support the truth of their ideas and to "critique…
Descriptors: Mathematics Instruction, Persuasive Discourse, Teaching Methods, Common Core State Standards
Yopp, David – Teaching Children Mathematics, 2010
Understanding logical necessity is an important component of proof and reasoning for teachers of grades K-8. The ability to determine exactly where young students' arguments are faulty offers teachers the chance to give youngsters feedback as they progress toward writing mathematically valid deductive proofs. As defined, logical necessity is the…
Descriptors: Feedback (Response), Logical Thinking, Elementary School Teachers, Mathematical Logic