Teacher resources and professional development across the curriculum
Teacher professional development and classroom resources across the curriculum
In this session:
Observing Student Reasoning and Proof
Exploring Reasoning and Proof
Defining Reasoning and Proof
Applying Reasoning and Proof
Evaluating Reasoning and Proof
Making sense of their world is a natural characteristic of young children. Making sense of mathematics through the use of logical thinking is the foundation of the Reasoning and Proof Standard. Being able to reason is essential to understanding mathematics. Reasoning is a way both to use mathematical knowledge and to generate and solidify mathematical ideas that are new to us.
How do we help students reason mathematically? In this session, we will look at various examples of mathematical reasoning typical of early childhood. We will observe students' thinking about mathematical ideas and their efforts to draw conclusions and make generalizations about those ideas. We will talk about how reasoning is an integral part of mathematical experiences in the early grades and how we can help students connect their own reasoning processes with the mathematics work they do in school. Finally, we will reflect on the teacher's role in helping students develop habits of making, testing, and refining conjectures.
This session shows you how to help students do the following:
NCTM Reasoning and Proof Standard
Instructional programs . . . should enable all students to --
Principles and Standards of School Mathematics (NCTM, 2000). For more information on this Process Standard, see the NCTM Web site.
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