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189 190<body data-rsssl=1 class="wp-singular page-template-default page page-id-2434 wp-theme-oria"> 191 192 193<div id="page" class="hfeed site"> 194 <a class="skip-link screen-reader-text" href="#content">Skip to content</a> 195 196 <header id="masthead" class="site-header" role="banner"> 197 198 <div class="top-bar clearfix no-toggle"> 199 200 </div> 201 202 <div class="container"> 203 <div class="site-branding"> 204 <h1 class="site-title"><a href="https://variationtheory.com/" rel="home">Variation Theory</a></h1><h2 class="site-description">Sequences and behaviour to enable mathematical thinking in the classroom - by Craig Barton @mrbartonmaths</h2> </div><!-- .site-branding --> 205 </div> 206 207 <nav id="site-navigation" class="main-navigation" role="navigation"> 208 <div class="menu-home-page-menu-container"><ul id="primary-menu" class="menu clearfix"><li id="menu-item-2533" class="menu-item menu-item-type-custom menu-item-object-custom current-menu-ancestor current-menu-parent 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class="mobile-nav"> 312 </nav> 313 </header><!-- #masthead --> 314 315 316 <div id="content" class="site-content clearfix"> 317 <div class="container content-wrapper"> 318 319 <div id="primary" class="content-area"> 320 <main id="main" class="site-main" role="main"> 321 322 323 324<article id="post-2434" class="post-2434 page type-page status-publish hentry"> 325 326 327 <header class="entry-header"> 328 <h1 class="entry-title">Activity type 1: Practice</h1> </header><!-- .entry-header --> 329 330 <div class="entry-content"> 331 <p><img data-recalc-dims="1" fetchpriority="high" decoding="async" data-attachment-id="2435" data-permalink="https://variationtheory.com/practice/slide1-87/" data-orig-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2018/07/Slide1-15.png?fit=960%2C720&ssl=1" data-orig-size="960,720" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="Slide1" data-image-description="" data-image-caption="" data-large-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2018/07/Slide1-15.png?fit=960%2C720&ssl=1" class="alignnone wp-image-2435 size-full" src="https://i0.wp.com/variationtheory.com/wp-content/uploads/2018/07/Slide1-15.png?resize=960%2C720&ssl=1" alt="" width="960" height="720" srcset="https://i0.wp.com/variationtheory.com/wp-content/uploads/2018/07/Slide1-15.png?w=960&ssl=1 960w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2018/07/Slide1-15.png?resize=300%2C225&ssl=1 300w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2018/07/Slide1-15.png?resize=768%2C576&ssl=1 768w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2018/07/Slide1-15.png?resize=520%2C390&ssl=1 520w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2018/07/Slide1-15.png?resize=740%2C555&
331ssl=1 740w" sizes="(max-width: 960px) 100vw, 960px" /></p> 332<h2>What are Intelligent Practice sequences?</h2> 333<p>Sequences of questions which enable students to gain practice in carrying out a mathematical method, whilst at the same time providing opportunities to think mathematically</p> 334<p>I describe the process for using Practice sequences in my lessons in my <a href="https://craigbarton.podia.com/">Intelligent Practice online course</a>.</p> 335<h2>The process</h2> 336<p><img data-recalc-dims="1" decoding="async" data-attachment-id="6038" data-permalink="https://variationtheory.com/practice/intelligent-practice-flow2/" data-orig-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/intelligent-practice-flow2.jpg?fit=1006%2C213&ssl=1" data-orig-size="1006,213" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"Craig Barton","camera":"","caption":"","created_timestamp":"1577021581","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="intelligent practice flow2" data-image-description="" data-image-caption="" data-large-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/intelligent-practice-flow2.jpg?fit=1006%2C213&ssl=1" class="alignnone size-full wp-image-6038" src="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/intelligent-practice-flow2.jpg?resize=1006%2C213&ssl=1" alt="" width="1006" height="213" srcset="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/intelligent-practice-flow2.jpg?w=1006&ssl=1 1006w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/intelligent-practice-flow2.jpg?resize=300%2C64&ssl=1 300w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/intelligent-practice-flow2.jpg?resize=768%2C163&ssl=1 768w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/intelligent-practice-flow2.jpg?resize=520%2C110&ssl=1 520w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/intelligent-practice-flow2.jpg?resize=740%2C157&
336ssl=1 740w" sizes="(max-width: 1006px) 100vw, 1006px" /></p> 337<h2>Student prompts</h2> 338<p><img data-recalc-dims="1" decoding="async" data-attachment-id="6035" data-permalink="https://variationtheory.com/practice/ip-prompt-cards-new/" data-orig-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/ip-prompt-cards-new.jpg?fit=751%2C850&ssl=1" data-orig-size="751,850" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"Craig Barton","camera":"","caption":"","created_timestamp":"1579272257","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="ip prompt cards new" data-image-description="" data-image-caption="" data-large-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/ip-prompt-cards-new.jpg?fit=751%2C850&ssl=1" class="alignnone size-full wp-image-6035" src="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/ip-prompt-cards-new.jpg?resize=751%2C850&ssl=1" alt="" width="751" height="850" srcset="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/ip-prompt-cards-new.jpg?w=751&ssl=1 751w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/ip-prompt-cards-new.jpg?resize=265%2C300&ssl=1 265w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/ip-prompt-cards-new.jpg?resize=520%2C589&ssl=1 520w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/ip-prompt-cards-new.jpg?resize=740%2C838&ssl=1 740w" sizes="(max-width: 751px) 100vw, 751px" /></p> 339<h2>Paired discussion prompts</h2> 340<p><img data-recalc-dims="1" loading="lazy" decoding="async" data-attachment-id="6036" data-permalink="https://variationtheory.com/practice/paired-discussion-new/" data-orig-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/paired-discussion-new.jpg?fit=755%2C801&ssl=1" data-orig-size="755,801" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"Craig Barton","camera":"","caption":"","created_timestamp":"1579272468","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="paired discussion new" data-image-description="" data-image-caption="" data-large-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/paired-discussion-new.jpg?fit=755%2C801&ssl=1" class="alignnone size-full wp-image-6036" src="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/paired-discussion-new.jpg?resize=755%2C801&ssl=1" alt="" width="755" height="801" srcset="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/paired-discussion-new.jpg?w=755&ssl=1 755w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/paired-discussion-new.jpg?resize=283%2C300&ssl=1 283w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/paired-discussion-new.jpg?resize=520%2C552&ssl=1 520w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/paired-discussion-new.jpg?resize=740%2C785&ssl=1 740w" sizes="auto, (max-width: 755px) 100vw, 755px" /></p> 341<h2>Discuss Relationships prompts</h2> 342<p><img data-recalc-dims="1" loading="lazy" decoding="async" data-attachment-id="6033" data-permalink="https://variationtheory.com/practice/discuss-relationships/" data-orig-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/discuss-relationships.jpg?fit=996%2C284&ssl=1" data-orig-size="996,284" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"Craig Barton","camera":"","caption":"","created_timestamp":"1579272546","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="discuss relationships" data-image-description="" data-image-caption="" data-large-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/discuss-relationships.jpg?fit=996%2C284&ssl=1" class="alignnone size-full wp-image-6033" src="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/discuss-relationships.jpg?resize=996%2C284&ssl=1" alt="" width="996" height="284" srcset="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/discuss-relationships.jpg?w=996&
342ssl=1 996w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/discuss-relationships.jpg?resize=300%2C86&ssl=1 300w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/discuss-relationships.jpg?resize=768%2C219&ssl=1 768w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/discuss-relationships.jpg?resize=520%2C148&ssl=1 520w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/discuss-relationships.jpg?resize=740%2C211&ssl=1 740w" sizes="auto, (max-width: 996px) 100vw, 996px" /></p> 343<h2>Prompts for Delving Deeper</h2> 344<p><img data-recalc-dims="1" loading="lazy" decoding="async" data-attachment-id="6032" data-permalink="https://variationtheory.com/practice/delving-deeper-new/" data-orig-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/delving-deeper-new.jpg?fit=996%2C322&ssl=1" data-orig-size="996,322" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"Craig Barton","camera":"","caption":"","created_timestamp":"1579272753","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="delving deeper new" data-image-description="" data-image-caption="" data-large-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/delving-deeper-new.jpg?fit=996%2C322&ssl=1" class="alignnone size-full wp-image-6032" src="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/delving-deeper-new.jpg?resize=996%2C322&ssl=1" alt="" width="996" height="322" srcset="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/delving-deeper-new.jpg?w=996&ssl=1 996w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/delving-deeper-new.jpg?resize=300%2C97&ssl=1 300w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/delving-deeper-new.jpg?resize=768%2C248&ssl=1 768w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/delving-deeper-new.jpg?resize=520%2C168&ssl=1 520w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/delving-deeper-new.jpg?resize=740%2C239&ssl=1 740w" sizes="auto, (max-width: 996px) 100vw, 996px" /></p> 345<h2>Student templates</h2> 346<p><img data-recalc-dims="1" loading="lazy" decoding="async" data-attachment-id="6039" data-permalink="https://variationtheory.com/practice/template1/" data-orig-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template1.jpg?fit=994%2C641&ssl=1" data-orig-size="994,641" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"Craig Barton","camera":"","caption":"","created_timestamp":"1577022238","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="template1" data-image-description="" data-image-caption="" data-large-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template1.jpg?fit=994%2C641&ssl=1" class="alignnone size-full wp-image-6039" src="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template1.jpg?resize=994%2C641&ssl=1" alt="" width="994" height="641" srcset="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template1.jpg?w=994&ssl=1 994w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template1.jpg?resize=300%2C193&ssl=1 300w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template1.jpg?resize=768%2C495&ssl=1 768w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template1.jpg?resize=520%2C335&ssl=1 520w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template1.jpg?resize=740%2C477&ssl=1 740w" sizes="auto, (max-width: 994px) 100vw, 994px" /></p> 347<p><img data-recalc-dims="1" loading="lazy" decoding="async" data-attachment-id="6037" data-permalink="https://variationtheory.com/practice/template2-new/" data-orig-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template2-new.jpg?fit=747%2C692&ssl=1" data-orig-size="747,692" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"Craig Barton","camera":"","caption":"","created_timestamp":"1579272337","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="template2 new" data-image-description="" data-image-caption="" data-large-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template2-new.jpg?fit=747%2C692&ssl=1" class="alignnone size-full wp-image-6037" src="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template2-new.jpg?resize=747%2C692&ssl=1" alt="" width="747" height="692" srcset="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template2-new.jpg?w=747&ssl=1 747w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template2-new.jpg?resize=300%2C278&ssl=1 300w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template2-new.jpg?resize=520%2C482&ssl=1 520w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/template2-new.jpg?resize=740%2C686&
347ssl=1 740w" sizes="auto, (max-width: 747px) 100vw, 747px" /></p> 348<h2>My online courses</h2> 349<p>My series of online courses are available here:<a href="https://craigbarton.podia.com/"> craigbarton.podia.com</a></p> 350<h2>My book</h2> 351<p>My book,<a href="https://www.amazon.co.uk/gp/product/1912906341/ref=as_li_qf_asin_il_tl?ie=UTF8&tag=mrbartonmaths-21&creative=6738&linkCode=as2&creativeASIN=1912906341&linkId=a518b299eaca0a0c8eaf29c2af043b62"> Reflect, Expect, Check, Explain</a> describes in detail the process for running these types of sequences in the classroom, considering how to get the most out of them, and addressing common questions and concerns.</p> 352<p><a href="https://www.amazon.co.uk/gp/product/1912906341/ref=as_li_qf_asin_il_tl?ie=UTF8&tag=mrbartonmaths-21&creative=6738&linkCode=as2&creativeASIN=1912906341&linkId=a518b299eaca0a0c8eaf29c2af043b62"><img data-recalc-dims="1" loading="lazy" decoding="async" data-attachment-id="6026" data-permalink="https://variationtheory.com/introduction/book-cover-final/" data-orig-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/Book-cover-final.jpg?fit=1055%2C1500&ssl=1" data-orig-size="1055,1500" data-comments-opened="0" data-image-meta="{"aperture":"0","credit":"","camera":"","caption":"","created_timestamp":"0","copyright":"","focal_length":"0","iso":"0","shutter_speed":"0","title":"","orientation":"0"}" data-image-title="Book cover (final)" data-image-description="" data-image-caption="" data-large-file="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/Book-cover-final.jpg?fit=720%2C1024&ssl=1" class="alignnone size-full wp-image-6026" src="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/Book-cover-final.jpg?resize=1055%2C1500&ssl=1" alt="" width="1055" height="1500" srcset="https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/Book-cover-final.jpg?w=1055&ssl=1 1055w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/Book-cover-final.jpg?resize=211%2C300&ssl=1 211w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/Book-cover-final.jpg?resize=720%2C1024&ssl=1 720w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/Book-cover-final.jpg?resize=768%2C1092&ssl=1 768w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/Book-cover-final.jpg?resize=520%2C739&ssl=1 520w, https://i0.wp.com/variationtheory.com/wp-content/uploads/2020/01/Book-cover-final.jpg?resize=740%2C1052&ssl=1 740w" sizes="auto, (max-width: 1055px) 100vw, 1055px" /></a></p> 353 </div><!-- .entry-content --> 354 355 <footer class="entry-footer"> 356 </footer><!-- .entry-footer --> 357</article><!-- #post-## --> 358 359 360 361 </main><!-- #main --> 362 </div><!-- #primary --> 363 364 365<div id="secondary" class="widget-area no-toggle" role="complementary"> 366 <span class="sidebar-close"><i class="fa fa-times"></i></span> 367 <aside id="block-2" class="widget widget_block"><iframe loading="lazy" src="https://tipsforteachers.substack.com/embed" width="480" height="320" style="border:1px solid #EEE; 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