An Introduction to Proof via Inquiry-Based Learning
Seiten
2022
American Mathematical Society (Verlag)
978-1-4704-6333-5 (ISBN)
American Mathematical Society (Verlag)
978-1-4704-6333-5 (ISBN)
A textbook for the transition to proof course for mathematics majors. Designed to promote active learning through inquiry, the book features a highly structured set of leading questions and explorations. The content ranges over topics traditionally included in transitions courses.
An Introduction to Proof via Inquiry-Based Learning is a textbook for the transition to proof course for mathematics majors. Designed to promote active learning through inquiry, the book features a highly structured set of leading questions and explorations. The reader is expected to construct their own understanding by engaging with the material. The content ranges over topics traditionally included in transitions courses: logic, set theory including cardinality, the topology of the real line, a bit of number theory, and more. The exposition guides and mentors the reader through an adventure in mathematical discovery, requiring them to solve problems, conjecture, experiment, explore, create, and communicate. Ultimately, this is really a book about productive struggle and learning how to learn. This is a print version of the popular open-access online text by Dana C. Ernst.
An Introduction to Proof via Inquiry-Based Learning is a textbook for the transition to proof course for mathematics majors. Designed to promote active learning through inquiry, the book features a highly structured set of leading questions and explorations. The reader is expected to construct their own understanding by engaging with the material. The content ranges over topics traditionally included in transitions courses: logic, set theory including cardinality, the topology of the real line, a bit of number theory, and more. The exposition guides and mentors the reader through an adventure in mathematical discovery, requiring them to solve problems, conjecture, experiment, explore, create, and communicate. Ultimately, this is really a book about productive struggle and learning how to learn. This is a print version of the popular open-access online text by Dana C. Ernst.
Dana C. Ernst, Northern Arizona University, Flagstaff, AZ.
Introduction
Mathematics and logic
Set theory
Induction
The real numbers
Three famous theorems
Relations and partitions
Functions
Cardinality
Elements for syle for proofs
Fancy mathematical terms
Paradoxes
Defintions in mathematics
Erscheinungsdatum | 01.07.2022 |
---|---|
Reihe/Serie | AMS/MAA Textbooks |
Verlagsort | Providence |
Sprache | englisch |
Maße | 152 x 229 mm |
Gewicht | 333 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
Sozialwissenschaften ► Pädagogik | |
ISBN-10 | 1-4704-6333-4 / 1470463334 |
ISBN-13 | 978-1-4704-6333-5 / 9781470463335 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Numbers and Counting, Groups, Graphs, Orders and Lattices
Buch | Softcover (2023)
De Gruyter (Verlag)
CHF 89,95