Common core State Standards
Practice: Mathematical Practice Standards
MP3: Construct viable arguments and critique the reasoning of others.
proficient students understand and use stated assumptions, definitions, and previously
established results in constructing arguments. They make conjectures and build a
logical progression of statements to explore the truth of their conjectures. They
are able to analyze situations by breaking them into cases, and can recognize and
use counterexamples. They justify their conclusions, communicate them to others,
and respond to the arguments of others. They reason inductively about data, making
plausible arguments that take into account the context from which the data arose.
Mathematically proficient students are also able to compare the effectiveness of
two plausible arguments, distinguish correct logic or reasoning from that which
is flawed, and--if there is a flaw in an argument--explain what it is. Elementary
students can construct arguments using concrete referents such as objects, drawings,
diagrams, and actions. Such arguments can make sense and be correct, even though
they are not generalized or made formal until later grades. Later, students learn
to determine domains to which an argument applies. Students at all grades can listen
or read the arguments of others, decide whether they make sense, and ask useful
questions to clarify or improve the arguments.
Download Common Core State Standards (PDF 1.2 MB)