{"id":13504,"date":"2022-06-20T18:01:11","date_gmt":"2022-06-20T18:01:11","guid":{"rendered":"https:\/\/theteacherstudio.com\/?p=13504"},"modified":"2022-06-23T19:15:00","modified_gmt":"2022-06-23T19:15:00","slug":"solving-word-problems-a-boot-camp","status":"publish","type":"post","link":"https:\/\/theteacherstudio.com\/solving-word-problems-a-boot-camp\/","title":{"rendered":"Solving Word Problems: A Boot Camp!"},"content":{"rendered":"<p><script async data-uid=\"c75602dbef\" src=\"https:\/\/floral-sky-7063.ck.page\/c75602dbef\/index.js\"><\/script><br \/>\nSolving word problems is an essential part of elementary math, but so often we fail to give students the tools needed to be successful. One strategy to help is to do a word problem &#8220;boot camp&#8221; to get them off on the right foot!<\/p>\n<p><a href=\"https:\/\/www.teacherspayteachers.com\/Product\/Problem-Solving-Task-Cards-7-Problem-Solving-Strategies-for-Grades-3-4-2655985?utm_source=www.theteacherstudio.com&amp;utm_campaign=problem%20solving%20boot%20camp%207%20strategies%20cards\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter wp-image-13505 size-medium\" src=\"https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/word-problem-boot-camp-2022-blog-post-header-1000x563.png\" alt=\"Solving Word Problems &quot;Boot Camp&quot;\" width=\"1000\" height=\"563\" srcset=\"https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/word-problem-boot-camp-2022-blog-post-header-1000x563.png 1000w, https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/word-problem-boot-camp-2022-blog-post-header-768x433.png 768w, https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/word-problem-boot-camp-2022-blog-post-header-1536x865.png 1536w, https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/word-problem-boot-camp-2022-blog-post-header.png 1640w\" sizes=\"(max-width: 1000px) 100vw, 1000px\" \/><\/a><\/p>\n<h4>Here&#8217;s what I mean.<\/h4>\n<p>We know students have been solving problems since kindergarten (we hope!), but often in the primary grades, we don&#8217;t showcase different strategies and help students learn to recognize different word problem types and the strategies that can be useful in tackling them.\u00a0 Here&#8217;s where a boot camp can come in handy!<\/p>\n<p>Most students have been exposed to strategies for solving word problems such as &#8220;draw a picture&#8221; or &#8220;make a table&#8221;.\u00a0 (Sidenote:\u00a0 Not ALL students have, so do some digging to see what background YOUR students really have!)<\/p>\n<p>Unfortunately, these lessons may have been sprinkled in here and there over the years and rarely revisited.\u00a0 What can solidify these strategies in students&#8217; minds is to really study them, first one strategy at a time and then later in a more &#8220;mixed&#8221; setting.\u00a0 When students do an in-depth study of the different problem types, practice the strategy, and then later have to apply those strategies on their own, we have a perfect example of how a gradual release model can make a huge impact.<\/p>\n<h3>Getting Started With Problem Solving Strategies<\/h3>\n<p>So here&#8217;s what I do!\u00a0 First, decide which strategies are important for you to explore.\u00a0 Here&#8217;s a list to get you started!<\/p>\n<ul>\n<li><em><strong>Make a list<\/strong><\/em><\/li>\n<li><em><strong>Guess and check<\/strong><\/em><\/li>\n<li><em><strong>Use objects to model<\/strong><\/em><\/li>\n<li><em><strong>Make a table<\/strong><\/em><\/li>\n<li><em><strong>Find a pattern<\/strong><\/em><\/li>\n<li><em><strong>Work backward<\/strong><\/em><\/li>\n<li><em><strong>Draw a picture<\/strong><\/em><\/li>\n<\/ul>\n<p>Now, these strategies are all useful in different types of problems, so we need students to understand how and when they are effective.\u00a0 We also want students to recognize that there is no &#8220;right&#8221; strategy.\u00a0 If students have a full &#8220;toolbox&#8221; of strategies to try, they have a much better chance of selecting a good starting point for their problem.<\/p>\n<p>Some of these strategies are more sophisticated than others as well.\u00a0 Let&#8217;s look at two: &#8220;Use objects to model&#8221; and &#8220;Draw a picture&#8221;.<\/p>\n<h3>Helping Push Students to Think Deeply<\/h3>\n<p>One of the most useful strategies we can teach is to &#8220;use objects to model&#8221;.\u00a0 We begin this when children are very young. When we use real objects (ex. crackers) to model a problem such as, &#8220;Benny has 3 crackers.\u00a0 His teacher gave him 2 more. How many does he have now?&#8221;, students can &#8220;see&#8221; the problem.\u00a0 They can see the &#8220;joining&#8221; action.\u00a0 We gradually move student to realize that objects such as unifix cubes can represent objects like crackers.\u00a0 This is still modeling and is a very tangible, concrete way for students to solve problems.<\/p>\n<p>Unfortunately, we often move past this modeling as students get older and the numbers get larger.\u00a0 Students in upper elementary see using objects as &#8220;babyish&#8221; instead of a useful tool that can help them get unstuck! Having manipulatives handy and modeling their use can be exceptionally beneficial.<\/p>\n<p>Now, do we want students having to pull out a bag of plastic cubes forever?\u00a0 Absolutely not.\u00a0 One strategy to start to move them past the concrete objects is the &#8220;Draw a picture&#8221; strategy which is one level more abstract.\u00a0 Instead of having crackers or cubes to represent the problem, students can learn to make tallies or other marks to represent the problem.\u00a0 This becomes exceptionally useful as the problems get more advanced.\u00a0 Check out this problem geared for third and fourth graders.<\/p>\n<p><a href=\"https:\/\/www.teacherspayteachers.com\/Product\/Problem-Solving-Task-Cards-7-Problem-Solving-Strategies-for-Grades-3-4-2655985?utm_source=www.theteacherstudio.com&amp;utm_campaign=problem%20solving%20boot%20camp%207%20strategies%20cards\"><img decoding=\"async\" class=\"aligncenter wp-image-13508\" src=\"https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/Slide55.jpg\" alt=\"Use objects problem solving strategy\" width=\"605\" height=\"454\" srcset=\"https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/Slide55.jpg 960w, https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/Slide55-768x576.jpg 768w\" sizes=\"(max-width: 605px) 100vw, 605px\" \/><\/a><\/p>\n<p>Think about how using objects (scraps of paper, plastic cubes, etc) could help a student model exactly what the problem is asking.\u00a0 Now check out this one!<\/p>\n<p><a href=\"https:\/\/www.teacherspayteachers.com\/Product\/Problem-Solving-Task-Cards-7-Problem-Solving-Strategies-for-Grades-3-4-2655985?utm_source=www.theteacherstudio.com&amp;utm_campaign=problem%20solving%20boot%20camp%207%20strategies%20cards\"><img decoding=\"async\" class=\"aligncenter wp-image-13512\" src=\"https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/Slide75.jpg\" alt=\"Draw a picture problem solving strategy\" width=\"604\" height=\"453\" srcset=\"https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/Slide75.jpg 960w, https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/Slide75-768x576.jpg 768w\" sizes=\"(max-width: 604px) 100vw, 604px\" \/><\/a><\/p>\n<p>Do you see how a drawing would be an excellent way for students to &#8220;show&#8221; the action of the word problem.\u00a0 This is certainly not a problem that can be done effectively in one&#8217;s mind, and the numbers in the problem are only a part of the story.\u00a0 Using problems like these to show students the strategies helps students understand the value of adding them to their own problem solving toolbox to access for ANY type of problem they encounter through the years.<\/p>\n<h3>Modeling Our Thinking<\/h3>\n<p>So let&#8217;s chat about modeling.\u00a0 So often we skip this step entirely or don&#8217;t dedicate enough time to it. Whether you are working with your entire class or small groups, modeling different problem solving strategies and tools (like manipulatives) is key.\u00a0 In a boot camp like this, you will want to make sure to take your students through each and every strategy you want to teach and go through the gradual release.\u00a0 Model your thinking, have them work together, and then try it on their own.\u00a0 This may take several days&#8211;especially if the strategy is new.<\/p>\n<p>If you are working with a large group, consider projecting problems onto your Smartboard or device and walk through the steps you use to make sense of the problem and dig in.\u00a0 Use a document camera and show the same thing.\u00a0 No technology?\u00a0 Print a copy of the problem out nice and big and bring the students close to watch you think, talk, and solve.\u00a0 The key here is to let them in on the secrets!<\/p>\n<ul>\n<li><em>Let the students know what you notice when you read the problem.<\/em><\/li>\n<li><em>Show them confusing parts.<\/em><\/li>\n<li><em>Wonder aloud about what strategies might be useful.<\/em><\/li>\n<li><em>Ask them for their input.<\/em><\/li>\n<li><em>Showcase how you keep track of your work and organize it.<\/em><\/li>\n<li><em>Reflect on your answer and whether or not it seems reasonable.<\/em><\/li>\n<\/ul>\n<p>All of these stages are intuitive to us as adults&#8211;but certainly are NOT to most elementary students.\u00a0 The more they see it, the better chance they have of applying it to their own work.\u00a0 This leads me to&#8230;<\/p>\n<h3>Students Solving Word Problems Together<\/h3>\n<p>The &#8220;we do together&#8221; step is such a powerful intermediary step.\u00a0 After seeing a teacher model a strategy, letting partners or trios try it together gives the perfect blend of &#8220;I&#8217;ll try now!&#8221; and the support of peers.<\/p>\n<p>Of course, it is essential to help students learn how to work together. (I talk about this a little more in <a href=\"https:\/\/theteacherstudio.com\/6-tips-for-creating-your-back-to-school\/\"><strong>THIS POST<\/strong><\/a> if you want some details.) Once you have established expectations, it&#8217;s great to take problems similar to what you have just modeled&#8211;whether working on drawing pictures or making tables or guessing and checking&#8211;and then have students work together to try some.<\/p>\n<p>One tip I love to give is simple but SO powerful.\u00a0 Before you let the partners work together, give them a few minutes of alone &#8220;think time&#8221;. This can help students who tend to be more reserved collect their thoughts and wrap their heads around the problem.\u00a0 Without this wait time, some students tend to take over a partnership.\u00a0 You know you&#8217;ve seen it!\u00a0 This gives everyone a little chance to get their background&#8211;and gives you a few minutes to walk around, coach, get students started, or even &#8220;prime the pump&#8221; with students who you know are slow to get going or who may need a hint to get started.qx<\/p>\n<h3>Students Solving Word Problems Alone<\/h3>\n<p>Once students have had some practice with a specific strategy, feel free to send them off to try on their own.\u00a0 If needed, bring a small group together for additional coaching and modeling.\u00a0 Ideally, we want to get to a place where students can apply what they have learned in their &#8220;boot camp&#8221; to any problem they encounter.<\/p>\n<p>I also think it&#8217;s important to find ways to work problem solving into every single math class.\u00a0 Consider&#8230;<\/p>\n<ul>\n<li>A problem every day as a warm up<\/li>\n<li>Math centers with differentiated problems set up<\/li>\n<li>Partner problems<\/li>\n<li>Small group interventions or challenges for students needing differentiation<\/li>\n<li>Problems on a variety of topics and skills&#8211;not just what you are working on at the time.\u00a0 This forces students to use those tools you taught them!<\/li>\n<\/ul>\n<h3>Need Some Help?<\/h3>\n<p>I know this can seem like a lot, so over the years I have worked to create a collection of problems that are perfect for this &#8220;Solving Word Problems Boot Camp&#8221;!\u00a0 If you are interested in having problems that are geared toward each strategy listed above with enough problems to model, have partners work, and have some for independent work, check it out.\u00a0 It even includes a collection of problems at the end where no strategy is identified so students need to reach into the toolbox and choose on their own!\u00a0 The cards can be printed as task cards (color or black and white), projected, or even used digitally through Google Classroom.\u00a0 <a href=\"https:\/\/www.teacherspayteachers.com\/Product\/Problem-Solving-Task-Cards-7-Problem-Solving-Strategies-for-Grades-3-4-2655985\"><strong>CLICK HERE<\/strong><\/a> or the image below to check it out.<\/p>\n<p><a href=\"https:\/\/www.teacherspayteachers.com\/Product\/Problem-Solving-Task-Cards-7-Problem-Solving-Strategies-for-Grades-3-4-2655985?utm_source=www.theteacherstudio.com&amp;utm_campaign=problem%20solving%20boot%20camp%207%20strategies%20cards\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-13515\" src=\"https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/problem-solving-strategies-task-cards-new-cover.jpg\" alt=\"Teaching Problem Solving Task Cards\" width=\"458\" height=\"458\" srcset=\"https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/problem-solving-strategies-task-cards-new-cover.jpg 960w, https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/problem-solving-strategies-task-cards-new-cover-500x500.jpg 500w, https:\/\/theteacherstudio.com\/wp-content\/uploads\/2022\/06\/problem-solving-strategies-task-cards-new-cover-768x768.jpg 768w\" sizes=\"(max-width: 458px) 100vw, 458px\" \/><\/a><\/p>\n<p>Want to read another post about teaching problem-solving?\u00a0 <a href=\"https:\/\/theteacherstudio.com\/solving-word-problems-a-gradual-release-model\/\"><strong>This is a great one<\/strong><\/a>&#8211;and there&#8217;s even a freebie waiting for you!<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-13448\" src=\"https:\/\/theteacherstudio.com\/wp-content\/uploads\/2013\/07\/new-logo-with-photo-wider-black-1000x1000.png\" alt=\"\" width=\"289\" height=\"289\" srcset=\"https:\/\/theteacherstudio.com\/wp-content\/uploads\/2013\/07\/new-logo-with-photo-wider-black-1000x1000.png 1000w, https:\/\/theteacherstudio.com\/wp-content\/uploads\/2013\/07\/new-logo-with-photo-wider-black-500x500.png 500w, https:\/\/theteacherstudio.com\/wp-content\/uploads\/2013\/07\/new-logo-with-photo-wider-black-768x768.png 768w, https:\/\/theteacherstudio.com\/wp-content\/uploads\/2013\/07\/new-logo-with-photo-wider-black.png 1181w\" sizes=\"(max-width: 289px) 100vw, 289px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Solving word problems is an essential part of elementary math, but so often we fail to give students the tools needed to be successful. One strategy to help is to do a word problem &#8220;boot camp&#8221; to get them off on the right foot! Here&#8217;s what I mean. We know students have been solving problems [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":13505,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[2,4],"tags":[182,215],"class_list":["post-13504","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-math-lessons","category-problem-solving","tag-problem-solving","tag-word-problems","wpbf-post"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Solving Word Problems: A Boot Camp! - The Teacher Studio<\/title>\n<meta name=\"description\" content=\"Using a gradual release model to explicitly teach solving word problem strategies is a great way to get students ready for problem solving.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/theteacherstudio.com\/solving-word-problems-a-boot-camp\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Solving Word Problems: A Boot Camp! 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