Science Of Learning Mathematical Proofs, The: An Introductory Course (Paperback)

College students struggle with the switch from thinking of mathematics as a calculation based subject to a problem solving based subject. This book describes how the introduction to proofs course can be taught in a way that gently introduces students to this new way of thinking. This introduction utilizes recent research in neuroscience regarding how the brain learns best. Rather than jumping right into proofs, students are first taught how to change their mindset about learning, how to persevere through difficult problems, how to work successfully in a group, and how to reflect on their learning. With these tools in place, students then learn logic and problem solving as a further foundation.Next various proof techniques such as direct proofs, proof by contraposition, proof by contradiction, and mathematical induction are introduced. These proof techniques are introduced using the context of number theory. The last chapter uses Calculus as a way for students to apply the proof techniques they have learned.

General

Imprint:	World Scientific Publishing Co Pte Ltd
Country of origin:	Singapore
Release date:	November 2020
First published:	2021
Authors:	Elana Reiser
Dimensions:	152 x 229 x 16mm (L x W x T)
Format:	Paperback
Pages:	244
ISBN-13:	978-981-12-2551-2
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Mathematical logic Promotions
LSN:	981-12-2551-6
Barcode:	9789811225512

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