Which one of the following Standards for Mathematical...

Name: Problem 7, Chapter 1: Elementary and Middle School Mathematics: Teaching Developmentally
Uploaded: 2023-11-02T02:43:20-08:00
Duration: 1 min 53 s
Channel: Celine Ibrahim
Description: Which one of the following Standards for Mathematical Practice asles students to analyze situations by breaking them into cases and can recognize and use counter examples? A. Express regularity in repeated reasoning B. Reason abstactly and quantitatively C. Construct viable arguments and critique reasoning of others D. Attend to precision

Which one of the following Standards for Mathematical Practice asles students to analyze situations by breaking them into cases and can recognize and use counter examples? A. Express regularity in repeated reasoning B. Reason abstactly and quantitatively C. Construct viable arguments and critique reasoning of others D. Attend to precision

Which one of the following Standards for Mathematical Practice asles students to analyze situations by breaking them into cases and can recognize and use counter examples?
A. Express regularity in repeated reasoning
B. Reason abstactly and quantitatively
C. Construct viable arguments and critique reasoning of others
D. Attend to precision

Key Concepts

Mathematical Practices

These are a set of general skills and habits that support students’ overall understanding of mathematics. They include problem solving, reasoning, communication, and the ability to construct and critique mathematical arguments. Such practices encourage students to think deeply about mathematical concepts beyond procedural tasks.

Constructing Viable Arguments and Critiquing Reasoning

This practice emphasizes the development of logical, well-founded mathematical arguments and the critical evaluation of others’ reasoning. It involves breaking problems into cases, recognizing the need for rigorous justification, and using counterexamples to challenge or verify mathematical claims, ensuring that conclusions are robust and well-supported.

Case Analysis

This is a problem-solving strategy where a situation is divided into distinct cases that can be individually examined. By addressing each possible scenario separately, students are able to manage complex problems more systematically and ensure that all possibilities are considered in their reasoning.

Counterexamples

A counterexample is a specific instance that disproves a general statement or proposition. In the context of mathematical reasoning, finding a counterexample is a powerful method for testing the validity of an argument or claim, helping to refine and strengthen mathematical understanding.

Transcript

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