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Mathematician's Practical Guide to Mentoring Undergraduate Research [Pehme köide]

  • Formaat: Paperback / softback, 211 pages, kõrgus x laius: 254x178 mm, kaal: 410 g
  • Sari: Classroom Resource Materials
  • Ilmumisaeg: 30-Oct-2019
  • Kirjastus: American Mathematical Society
  • ISBN-10: 147044934X
  • ISBN-13: 9781470449346
Teised raamatud teemal:
  • Formaat: Paperback / softback, 211 pages, kõrgus x laius: 254x178 mm, kaal: 410 g
  • Sari: Classroom Resource Materials
  • Ilmumisaeg: 30-Oct-2019
  • Kirjastus: American Mathematical Society
  • ISBN-10: 147044934X
  • ISBN-13: 9781470449346
Teised raamatud teemal:
A Mathematician's Practical Guide to Mentoring Undergraduate Research is a complete how-to manual on starting an undergraduate research program. Readers will find advice on setting appropriate problems, directing student progress, managing group dynamics, obtaining external funding, publishing student results, and a myriad of other relevant issues. The authors have decades of experience and have accumulated knowledge that other mathematicians will find extremely useful.

Arvustused

This book is a wonderful resource for those interested in engaging undergraduates in research. The authors' extensive experience in mentoring undergraduates in research is evident throughout." - Joseph A. Gallian, Director of the University of Minnesota Duluth REU, Former President of MAA, Former Director of MAA Project NExT

"You do not need to be a mathematician to appreciate A Mathematician's Practical Guide to Mentoring Undergraduate Research. The book is filled with useful information, advice, and ideas for faculty engaging in undergraduate research based on the most successful ideas from the undergraduate research community." - Julio Rivera, Emeritus President of the Council on Undergraduate Research

"A remarkably entertaining compendium of useful information for anyone interested in mentoring undergraduates in mathematical research. With wisdom gathered over their collective decades of experience, the authors provide a complete starter kit for successful undergraduate research groups in the mathematical sciences." - Kathryn Leonard, Director of the Center for Undergraduate Research in Mathematics at Occidental College

Teach Them to Fish vii
Foreword xi
About this book xiii
Acknowledgments xvii
1 Why should undergraduates do research?
1(10)
1.1 Introduction
1(1)
1.2 Benefits to students
2(1)
1.3 Benefits to faculty
3(3)
1.4 A brief history of undergraduate research in mathematics
6(2)
1.5 Getting started
8(3)
2 A beginner's guide to mentoring undergraduates in research
11(14)
2.1 The six fundamental steps
11(2)
2.2 Step 1: Picking an appropriate research problem
13(2)
2.3 Step 2: Recruiting and selecting students to mentor
15(2)
2.4 Step 3: Setting expectations and dealing with group dynamics
17(1)
2.5 Step 4: Starting the research and moving it forward
18(3)
2.6 Step 5: Helping students develop communication skills
21(1)
2.7 Step 6: Preparing for the future
22(3)
3 Choosing appropriate research problems
25(18)
3.1 Six characteristics of good undergraduate research problems
25(13)
3.2 Branching out
38(2)
3.3 Conclusion
40(3)
4 Choosing students and managing group dynamics
43(18)
4.1 Where can I find students to work with on research?
43(3)
4.2 How can I choose research students from a bigger pool of potential researchers?
46(1)
4.3 Discussing expectations and group dynamics
47(2)
4.4 Working with students from underrepresented minority groups
49(4)
4.5 Individual and group dynamic scenarios
53(8)
5 Helping students communicate their results
61(24)
5.1 Common elements in mathematical communication
62(1)
5.2 Writing a paper
63(7)
5.3 Giving a talk
70(7)
5.4 Presenting a poster
77(5)
5.5 Non-traditional forms of communication
82(1)
5.6 Conclusion
83(2)
6 How to write a successful grant proposal and get funding for undergraduate research
85(22)
6.1 Having a great idea
86(2)
6.2 Building a track record
88(3)
6.3 Finding sources for funding
91(6)
6.4 Matching your idea with an appropriate funding opportunity
97(1)
6.5 Writing a clear and persuasive proposal
98(5)
6.6 Writing a budget
103(1)
6.7 Submitting your proposal
104(1)
6.8 Aftermath
105(2)
7 Summer REU Programs
107(18)
7.1 What is an REU?
107(2)
7.2 Components of a successful REU
109(13)
7.3 Pre-REUs, RETs, and more
122(1)
7.4 Are you ready? Jump in!
123(2)
8 Assessment of undergraduate research programs
125(12)
8.1 Assessment design and learning outcomes
125(3)
8.2 Linking learning outcomes to assessment practices
128(6)
8.3 Limitations of assessment practices
134(1)
8.4 The impact of undergraduate research in mathematics and beyond
135(2)
9 The future of undergraduate research: Enhancing curricula, building partnerships, launching careers
137(28)
9.1 The Council on Undergraduate Research (CUR)
137(4)
9.2 Integrating and building undergraduate research into curriculum and coursework
141(5)
9.3 Careers for mathematics majors and innovation and collaboration in undergraduate research
146(9)
9.4 Internationalization and undergraduate research
155(5)
9.5 Other future directions
160(4)
9.6 Conclusion
164(1)
A Sample Grant Proposals 165(34)
B Acronyms 199(4)
Bibliography 203
Michael Dorff, Brigham Young University, Provo, UT.

Allison Henrich, Seattle University, WA.

Lara Pudwell, Valparaiso University, IN.