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