The science of learning mathematical proofs (Record no. 72767)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03127nam a2200361 a 4500 |
| 001 - CONTROL NUMBER | |
| control field | 00011973 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 201206s2020 si ob 001 0 eng |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9789811225529 |
| -- | (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (hbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| -- | (pbk.) |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 511.3/6 |
| 100 1# - AUTHOR NAME | |
| Author | Reiser, Elana, |
| 245 14 - TITLE STATEMENT | |
| Title | The science of learning mathematical proofs |
| Sub Title | an introductory course / |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Singapore : |
| Publisher | World Scientific, |
| Year of publication | 2020. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (xvi, 226 p.) |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Preface to students -- Preface to professors -- Pedagogical notes for professors -- Brain growth -- Team building -- Setting goals -- Logic -- Problem solving -- Study techniques -- Pre-proofs -- Direct proofs (even, odd, & divides) -- Direct proofs (rational, prime, & composite) -- Direct proofs (square numbers & absolute value) -- Direct proofs (gcd & relatively prime) -- Proof by division into cases -- Proof by division into cases (quotient remainder theorem) -- Forward-backward proofs -- Proof by contraposition -- Proof by contradiction -- Proof by induction -- Proof by induction part II -- Calculus proofs -- Mixed review. Appendices. 100# task activity sheet. Answers for hiking activity. Escape room. Proof for exercise 17.11. Selected proofs from all chapters. Proof methods. Proof template. Homework log -- Bibliography -- Index. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | "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"--Publisher's website. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | https://www.worldscientific.com/worldscibooks/10.1142/11973#t=toc |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Proof theory. |
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