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56 57<link rel="https://api.w.org/" href="https://www.kevinhouston.net/blog/wp-json/" /><link rel="EditURI" type="application/rsd+xml" title="RSD" href="https://www.kevinhouston.net/blog/xmlrpc.php?rsd" /> 58<meta name="generator" content="WordPress 6.6.9" /> 59<link rel='shortlink' href='http://wp.me/16v0k' /> 60<style type="text/css"> 61/* <![CDATA[ */ 62img.latex { vertical-align: middle; border: none; } 63/* ]]> */ 64</style> 65</head> 66<body class="home blog wp-embed-responsive"> 67 68 69 70 <a class="skip-link screen-reader-text" href="#primary">Skip to content</a> 71 72 <div id="site-container"> 73 <div id="site-header" > 74 <div class="entry-header"> 75 <div class="graceful-wrap-outer"> 76 <div class="graceful-wrap-inner"> 77 <div class="site-branding"> 78 <a href="https://www.kevinhouston.net/blog/">Kevin Houston</a> 79 80 <br> 81 <p class="site-description">Thinking mathematically…</p> 82 </div> 83 </div> 84 </div> 85 </div><div id="main-navigation" class="clear-fix" data-fixed="1"> 86 <div class="wrapped-content"> 87 <div class="navigation-search-overlay"> 88 </div> 89 90 91 <!-- Menu --> 92 <button class="responsive-menu-btn"> 93 <i class="fa fa-chevron-down"></i> 94 <i class="fa fa-times" style="display: none;"></i> 95 </button> 96 97 98 99 <div class="navigation-socials"> 100 </div> 101 102 103 <!-- Search in main navigation --> 104 <div class="main-navigation-search"> 105 <button class="navigation-search-button open-graceful-search"> 106 <i class="fa fa-search"></i> 107 <i class="fa fa-times"></i> 108 </button> 109 <div class="graceful-search" role="graceful-search" aria-labelledby="graceful-search-title" aria-describedby="graceful-search-description" aria-hidden="true"> 110 <form role="search" method="get" id="searchform" class="searchform" action="https://www.kevinhouston.net/blog/"> 111 <div> 112 <label class="screen-reader-text" for="s">Search for:</label> 113 <input type="text" value="" name="s" id="s" /> 114 <input type="submit" id="searchsubmit" value="Search" /> 115 </div> 116 </form> <button type="button" aria-label="Close Navigation" class="close-graceful-search"> <i class="fa fa-times"></i> </button> 117 </div> 118 <div class="graceful-search-overlay" tabindex="-1" aria-hidden="true"></div> 119 </div> 120 121 </div> 122</div><!-- #main-navigation --> 123 </div><!-- site-header close --> 124 125 <!-- Page Content --> 126 <main id="primary" class="site-main"> 127 <div class="main-content clear-fix wrapped-content" data-layout="col1-rightsidebar" data-sidebar-sticky="1"> 128<div class="content-wrap"> 129 <ul class="content-column"> 130 <li> 131 <article id="post-4500" class="content-post post-4500 post type-post status-publish format-standard hentry category-mathematics-education"> 132 <div class="site-images"> 133 </div> 134 135 <header class="post-header"> 136 <div class="post-header-inner"> 137 <div class="post-categories"> 138 <a href="https://www.kevinhouston.net/blog/category/mathematics-education/" rel="category tag">Mathematics education</a> </div> 139 140 <h2 class="post-title"> 141 <a href="https://www.kevinhouston.net/blog/2021/01/lessons-learned-from-covid-19-teaching/">Lessons Learned From Covid-19 Teaching</a> 142 </h2> 143 144 <div class="post-meta clear-fix"> 145 <span class="post-date">January 5, 2021</span> 146 147 <strong class="post-title-author"> 148 - By <a href="https://www.kevinhouston.net/blog/author/admin/" title="Posts by Kevin Houston" rel="author">Kevin Houston</a> </strong> 149 </div> 150 </div> 151 </header> 152 153 <div class="post-page-content"> 154 <p>What can I say? 2020, Covid, unprecedented, etc. You already know this. Well, since I’m co-organising a Teaching and Learning Mathematics Online (TALMO) workshop today on lessons learned following the sudden switch to online teaching I decided to write down some of my lessons learned. The TALMO meeting can be found at Tackling Term 2: Top Tips from Term 1. Last term, apart from a single hour right at the start, my teaching was online. As expected it didn’t go perfectly. Actually, some of it went quite badly and I’ll talk about that on another day. For the moment I’ll…</p> </div> 155 156 <footer class="post-footer"> 157 <div class="continue-read"> 158 <a href="https://www.kevinhouston.net/blog/2021/01/lessons-learned-from-covid-19-teaching/">Continue Reading</a> 159 </div> 160 </footer> 161 162 163 </article> 164 </li> 165 166 <li> 167 <article id="post-4446" class="content-post post-4446 post type-post status-publish format-standard hentry category-mathematics-education tag-covid-19 tag-mathematics-assessment tag-open-book-exam tag-take-home-exam"> 168 <div class="site-images"> 169 </div> 170 171 <header class="post-header"> 172 <div class="post-header-inner"> 173 <div class="post-categories"> 174 <a href="https://www.kevinhouston.net/blog/category/mathematics-education/" rel="category tag">Mathematics education</a> </div> 175 176 <h2 class="post-title"> 177 <a href="https://www.kevinhouston.net/blog/2020/03/mathematics-take-away-open-book-assessment/">Mathematics Take Away Open Book Assessment</a> 178 </h2> 179 180 <div class="post-meta clear-fix"> 181 <span class="post-date">March 20, 2020</span> 182 183 <strong class="post-title-author"> 184 - By <a href="https://www.kevinhouston.net/blog/author/admin/" title="Posts by Kevin Houston" rel="author">Kevin Houston</a> </strong> 185 </div> 186 </div> 187 </header> 188 189 <div class="post-page-content"> 190 <p>With the current Covid-19 crisis many Higher Education Institutions (HEIs) are moving to take away exams which by their nature are open book exams. Many mathematicians do not have experience of take home open book assessments and this post is intended to help deal with this. This has been put together quickly and is intended to be practical rather than theoretical. I hope you find it of use. I
190will update when I can so if you have any suitable links or ideas, then please leave a comment. Principles Throughout the next few months, students and staff will be sick,…</p> </div> 191 192 <footer class="post-footer"> 193 <div class="continue-read"> 194 <a href="https://www.kevinhouston.net/blog/2020/03/mathematics-take-away-open-book-assessment/">Continue Reading</a> 195 </div> 196 </footer> 197 198 199 </article> 200 </li> 201 202 <li> 203 <article id="post-4441" class="content-post post-4441 post type-post status-publish format-standard hentry category-how-to-think-like-a-mathematician category-mathematical-thinking category-mathematics-education"> 204 <div class="site-images"> 205 </div> 206 207 <header class="post-header"> 208 <div class="post-header-inner"> 209 <div class="post-categories"> 210 <a href="https://www.kevinhouston.net/blog/category/how-to-think-like-a-mathematician/" rel="category tag">How To Think Like A Mathematician</a> - <a href="https://www.kevinhouston.net/blog/category/mathematical-thinking/" rel="category tag">Mathematical thinking</a> - <a href="https://www.kevinhouston.net/blog/category/mathematics-education/" rel="category tag">Mathematics education</a> </div> 211 212 <h2 class="post-title"> 213 <a href="https://www.kevinhouston.net/blog/2019/04/e-assessment/">E-assessment</a> 214 </h2> 215 216 <div class="post-meta clear-fix"> 217 <span class="post-date">April 10, 2019</span> 218 219 <strong class="post-title-author"> 220 - By <a href="https://www.kevinhouston.net/blog/author/admin/" title="Posts by Kevin Houston" rel="author">Kevin Houston</a> </strong> 221 </div> 222 </div> 223 </header> 224 225 <div class="post-page-content"> 226 <p>I’ve been attending a conference for the last few days and so didn’t have much time to write a post. I did learn about the e-assessment packages Stack and Numbas. I will definitely be trying these in the future.</p> </div> 227 228 <footer class="post-footer"> 229 <div class="continue-read"> 230 <a href="https://www.kevinhouston.net/blog/2019/04/e-assessment/">Continue Reading</a> 231 </div> 232 </footer> 233 234 235 </article> 236 </li> 237 238 <li> 239 <article id="post-4438" class="content-post post-4438 post type-post status-publish format-standard hentry category-how-to-think-like-a-mathematician category-mathematical-thinking category-mathematics-education"> 240 <div class="site-images"> 241 </div> 242 243 <header class="post-header"> 244 <div class="post-header-inner"> 245 <div class="post-categories"> 246 <a href="https://www.kevinhouston.net/blog/category/how-to-think-like-a-mathematician/" rel="category tag">How To Think Like A Mathematician</a> - <a href="https://www.kevinhouston.net/blog/category/mathematical-thinking/" rel="category tag">Mathematical thinking</a> - <a href="https://www.kevinhouston.net/blog/category/mathematics-education/" rel="category tag">Mathematics education</a> </div> 247 248 <h2 class="post-title"> 249 <a href="https://www.kevinhouston.net/blog/2019/04/proof-from-the-particular-to-the-general/">Proof: From the particular to the general</a> 250 </h2> 251 252 <div class="post-meta clear-fix"> 253 <span class="post-date">April 9, 2019</span> 254 255 <strong class="post-title-author"> 256 - By <a href="https://www.kevinhouston.net/blog/author/admin/" title="Posts by Kevin Houston" rel="author">Kevin Houston</a> </strong> 257 </div> 258 </div> 259 </header> 260 261 <div class="post-page-content"> 262 <p>A common technique in teaching mathematics is to go from the particular to the general. We can look at a few examples and then state and prove the general result. We can do this for proofs as well. Instead of giving students a proof of a statement, give them the proof for a specific example of the statement and ask them to prove the general from that. A classic example of this is to prove the irrationality of and then that of . Once the common features have been determined the proof for irrationality of for prime is (hopefully) straightforward.…</p> </div> 263 264 <footer class="post-footer"> 265 <div class="continue-read"> 266 <a href="https://www.kevinhouston.net/blog/2019/04/proof-from-the-particular-to-the-general/">Continue Reading</a> 267 </div> 268 </footer> 269 270 271 </article> 272 </li> 273 274 <li> 275 <article id="post-4434" class="content-post post-4434 post type-post status-publish format-standard hentry category-how-to-think-like-a-mathematician category-mathematical-thinking category-mathematics-education"> 276 <div class="site-images"> 277 </div> 278 279 <header class="post-header"> 280 <div class="post-header-inner"> 281 <div class="post-categories"> 282 <a href="https://www.kevinhouston.net/blog/category/how-to-think-like-a-mathematician/" rel="category tag">How To Think Like A Mathematician</a> - <a href="https://www.kevinhouston.net/blog/category/mathematical-thinking/" rel="category tag">Mathematical thinking</a> - <a href="https://www.kevinhouston.net/blog/category/mathematics-education/" rel="category tag">Mathematics education</a> </div> 283 284 <h2 class="post-title"> 285 <a href="https://www.kevinhouston.net/blog/2019/04/marks-for-writing/">Marks for writing</a> 286 </h2> 287 288 <div class="post-meta clear-fix"> 289 <span class="post-date">April 8, 2019</span> 290 291 <strong class="post-title-author"> 292 - By <a href="https://www.kevinhouston.net/blog/author/admin/" title="Posts by Kevin Houston" rel="author">Kevin Houston</a> </strong> 293 </div> 294 </div> 295 </header> 296 297 <div class="post-page-content"> 298 <p>Writing mathematics clearly is a crucial part of a student’s education. Too often students begin higher education with the misconception that writing mathematics merely involves putting down a sequence of symbols without paying too much attention as to whether they make sense to the reader. As long as the answer is there in some form and underlined, that’s ok, the thinking goes. Since the marker can see that the answer is there, this may be almost acceptable for problems such as finding the derivative of some product. But it does not work for writing proofs where a logical and coherent…</p> </div> 299 300 <footer class="post-footer"> 301 <div class="continue-read"> 302 <a href="https://www.kevinhouston.net/blog/2019/04/marks-for-writing/">Continue Reading</a> 303 </div> 304 </footer> 305 306 307 </article> 308 </li> 309 310 </ul> 311 312<nav class="content-pagination clear-fix default" 313 data-max-pages="45" 314 data-loading="Loading..."> 315 316 <div class="previous-page"> 317 <a href="https://www.kevinhouston.net/blog/page/2/" ><i class="fa fa-long-arrow-left"></i> Older Posts</a> </div> 318 319</nav> 320</div><!-- content-wrap --> 321<div class="sidebar-right-wrap"> 322 <aside class="sidebar-right"> 323 <section id="recent-posts-5" class="graceful-widget widget_recent_entries"><h2>Recent Posts</h2> <ul> 324 <li class="graceful-recent-image-box"> 325 <div class="graceful-small-image-box" style="background-image: url( '' );"> 326 </div> 327 <a 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451How to become a straight-A student</a></li> 452<li><a href="http://www.kevinhouston.net/blog/2010/09/hello-world/">10 Ways to Think Like a Mathematician</a></li> 453<li><a href=" http://www.kevinhouston.net/blog/2011/06/how-to-get-a-good-maths-degree/">How to get a good maths degree<a></li> 454<li> 455<a href="http://www.kevinhouston.net/blog/2011/03/how-not-to-get-a-good-mathematics-degree/">How not to get a good mathematics degree</a></li> 456<li><a href="http://www.kevinhouston.net/blog/2013/03/what-is-the-best-proof-of-cauchys-integral-theorem/">What is the best proof of Cauchy's Integral Theorem?</a></li> 457<li> 458<a href="http://www.kevinhouston.net/blog/2010/11/milnor-and-darcy-thompson/">Milnor and D'Arcy Thompson</a></li> 459</ul></div> 460 </section><section id="recent-posts-3" class="graceful-widget widget_recent_entries"><h2>Recent posts</h2> <ul> 461 <li class="graceful-recent-image-box"> 462 <div class="graceful-small-image-box" style="background-image: url( '' );"> 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