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	<title>math instruction Archives - Tanya Yero Teaching</title>
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	<title>math instruction Archives - Tanya Yero Teaching</title>
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		<title>How To Use Math Resources To Promote Discovery and “The Why” For Deeper Thinking</title>
		<link>https://www.tanyayeroteaching.com/how-to-use-math-resources-to-promote-discovery-and-the-why-for-deeper-thinking/</link>
		
		<dc:creator><![CDATA[Tanya Yero]]></dc:creator>
		<pubDate>Fri, 18 Sep 2020 14:31:41 +0000</pubDate>
				<category><![CDATA[Conceptual Learning]]></category>
		<category><![CDATA[Education]]></category>
		<category><![CDATA[Math]]></category>
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		<category><![CDATA[conceptual understanding]]></category>
		<category><![CDATA[math instruction]]></category>
		<guid isPermaLink="false">https://www.tanyayeroteaching.com/?p=4551</guid>

					<description><![CDATA[<p>You&#8217;ve heard parents say that they don&#8217;t like the &#8220;new math&#8221; or today&#8217;s way of teaching math. In reality, math hasn&#8217;t changed. The &#8220;new math&#8221; allows your students to discover the why behind math. Math phobia or fixed mindset from math often comes from not understanding the why behind math operations and problems. By using [&#8230;]</p>
<p>The post <a href="https://www.tanyayeroteaching.com/how-to-use-math-resources-to-promote-discovery-and-the-why-for-deeper-thinking/">How To Use Math Resources To Promote Discovery and “The Why” For Deeper Thinking</a> appeared first on <a href="https://www.tanyayeroteaching.com">Tanya Yero Teaching</a>.</p>
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<p class="wp-block-paragraph">You&#8217;ve heard parents say that they don&#8217;t like the &#8220;new math&#8221; or today&#8217;s way of teaching math. In reality, math hasn&#8217;t changed. The &#8220;new math&#8221; allows your students to discover the why behind math. Math phobia or fixed mindset from math often comes from not understanding the why behind math operations and problems. By using math resources to promote discovery and &#8220;the why&#8221;, your students also become deeper thinkers and succeed in math! Here are some ways to get started. </p>



<div class="wp-block-image"><figure class="aligncenter size-large"><img fetchpriority="high" decoding="async" width="589" height="405" src="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/digital-math-activities-1.png" alt="" class="wp-image-4557" srcset="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/digital-math-activities-1.png 589w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/digital-math-activities-1-300x206.png 300w" sizes="(max-width: 589px) 100vw, 589px" /><figcaption><a href="https://www.teacherspayteachers.com/Store/Tanya-Yero-Teaching/Category/Digital-Math-Centers-467413">Digital Math Centers Available For Grades 3-5</a></figcaption></figure></div>



<h2 class="wp-block-heading">Use open-ended prompts and tasks.</h2>



<p class="wp-block-paragraph">Using project-based learning in math not only promotes deeper thinking, it helps your students see the real world connections. Project-based learning lessons are typically open-ended. First, students get a problem to solve. Next, they receive some tools to do so. Finally, they come up with a solution on their own or in small groups.  With this <a rel="noopener noreferrer" href="https://www.teacherspayteachers.com/Product/Project-Based-Learning-Math-Project-Angles-and-Protractors-DISTANCE-LEARNING-3535845" target="_blank">project-based learning unit on angles and using protractors</a>, your students receive a task to install security cameras in a community. To start, students have a budget, rulers, and protractors. Next, learners create the ranges and angles for each camera on a community map. Finally, their task is to have as many houses as possible within the view of 12 (or fewer) cameras. </p>



<p class="wp-block-paragraph">Using project-based learning, open-ended tasks like this one help your students discover math beyond the drill and practice problem sets while they understand the &#8220;why&#8221; behind concepts.  </p>



<div class="wp-block-image"><figure class="aligncenter size-large"><img decoding="async" width="676" height="421" src="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/Picture1-3.png" alt="" class="wp-image-4563" srcset="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/Picture1-3.png 676w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/Picture1-3-300x187.png 300w" sizes="(max-width: 676px) 100vw, 676px" /></figure></div>



<h2 class="wp-block-heading">Ask questions that promote understanding beyond memorization.</h2>



<p class="wp-block-paragraph">By far, my favorite way to teach math with rigor and help my students understand &#8220;why&#8221; is with <a rel="noopener noreferrer" href="https://www.teacherspayteachers.com/Product/DISTANCE-LEARNING-5th-Grade-Word-Problems-Math-Spiral-Review-YEARLONG-BUNDLE-2637148" target="_blank">POWER Problems</a>. These problems start by asking questions that help students understand the why and the concepts behind the math skill rather than simply memorizing different algorithms to find an answer.  Here&#8217;s how POWER problems work.  First, POWER problems are PURPOSEFUL. That means they keep students focused while encouraging them to keep going! Next, POWER problems provide OPPORTUNITIES. These problems are used as bellringers, to introduce a lesson or new concept, as spiral review, or even to assess a skill.  In addition, POWER problems are about ENGAGEMENT. These are real-world, relevant problems that are of high-interest to students. Because the problems are complex, your students are engaged.   Finally, POWER problems are designed with RIGOR. Students are going to be challenged by POWER problems. Rather than just memorizing algorithms and procedures, your learners will practice conceptual understanding in order to get beyond applying a formula.  </p>



<div class="wp-block-image"><figure class="aligncenter size-large is-resized"><img decoding="async" src="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/A75842B9-6D1A-49A4-844D-0504D9D444F6-1-1024x1024.jpg" alt="" class="wp-image-4554" width="709" height="709" srcset="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/A75842B9-6D1A-49A4-844D-0504D9D444F6-1-1024x1024.jpg 1024w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/A75842B9-6D1A-49A4-844D-0504D9D444F6-1-300x300.jpg 300w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/A75842B9-6D1A-49A4-844D-0504D9D444F6-1-150x150.jpg 150w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/A75842B9-6D1A-49A4-844D-0504D9D444F6-1-768x768.jpg 768w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/A75842B9-6D1A-49A4-844D-0504D9D444F6-1-800x800.jpg 800w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/A75842B9-6D1A-49A4-844D-0504D9D444F6-1.jpg 1512w" sizes="(max-width: 709px) 100vw, 709px" /></figure></div>



<h2 class="wp-block-heading">Use activities that promote self exploration.</h2>



<p class="wp-block-paragraph">Letting students explore concepts to generate discussions and inquiry is a perfect way to bring discovery into your math lessons! One of my favorites to use with upper elementary students is the <a rel="noopener noreferrer" href="https://www.teacherspayteachers.com/Product/Types-of-Triangles-Classifying-Triangles-Activity-Types-of-Triangles-Activities-2506051" target="_blank">types of triangles classifying activity</a>.  Help your students explore different types of triangles with this simple group activity. When I was in school, we simply memorized definitions of triangles. With this activities, students identify triangles and create “always, sometimes, and never” statements on triangles. Overall, this activity builds conceptual understanding.  I also love teaching my students about <a rel="noopener noreferrer" href="https://www.tanyayeroteaching.com/how-to-conceptually-teach-quadrilaterals/" target="_blank">quadrilaterals conceptually</a>! First, have students study the attributes of quadrilaterals. Give them time to explore and &#8220;play&#8221; with manipulatives. Exploring geometry (and other math concepts) makes them more clear for learners. I am all about hands-on teaching! Overall, giving students opportunities to explore and discover math concepts in your class will help them go beyond memorizing and understand the &#8220;why&#8221; behind the math!  </p>



<div class="wp-block-image"><figure class="aligncenter size-large is-resized"><img loading="lazy" decoding="async" src="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/digital-math-centers-1.png" alt="" class="wp-image-4559" width="623" height="430" srcset="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/digital-math-centers-1.png 816w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/digital-math-centers-1-300x207.png 300w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/digital-math-centers-1-768x530.png 768w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/digital-math-centers-1-800x552.png 800w" sizes="(max-width: 623px) 100vw, 623px" /><figcaption><a href="https://www.teacherspayteachers.com/Store/Tanya-Yero-Teaching/Category/Digital-Math-Centers-467413">Digital Math Centers Available For Grades 3-5 </a></figcaption></figure></div>



<div class="wp-block-image"><figure class="aligncenter size-large is-resized"><img loading="lazy" decoding="async" src="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/conceptual-math-1-770x1024.png" alt="" class="wp-image-4565" width="592" height="787" srcset="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/conceptual-math-1-770x1024.png 770w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/conceptual-math-1-226x300.png 226w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/conceptual-math-1-768x1021.png 768w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/conceptual-math-1-800x1063.png 800w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/conceptual-math-1.png 939w" sizes="(max-width: 592px) 100vw, 592px" /></figure></div>
<p>The post <a href="https://www.tanyayeroteaching.com/how-to-use-math-resources-to-promote-discovery-and-the-why-for-deeper-thinking/">How To Use Math Resources To Promote Discovery and “The Why” For Deeper Thinking</a> appeared first on <a href="https://www.tanyayeroteaching.com">Tanya Yero Teaching</a>.</p>
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		<item>
		<title>How to start differentiating during your math block</title>
		<link>https://www.tanyayeroteaching.com/how-to-start-differentiating-during-your-math-block/</link>
		
		<dc:creator><![CDATA[Tanya Yero]]></dc:creator>
		<pubDate>Fri, 18 Sep 2020 13:06:48 +0000</pubDate>
				<category><![CDATA[Education]]></category>
		<category><![CDATA[Math]]></category>
		<category><![CDATA[differentiating math]]></category>
		<category><![CDATA[differentiation during math]]></category>
		<category><![CDATA[math instruction]]></category>
		<guid isPermaLink="false">https://www.tanyayeroteaching.com/?p=4530</guid>

					<description><![CDATA[<p>Your students all learn differently and at different paces. While some students may come in your classroom with certain standards already mastered, others may struggle with basic skills. That&#8217;s why differentiation is so important. To challenge and help all learners meet their standards, it&#8217;s vital to meet your students where they&#8217;re at. With so many [&#8230;]</p>
<p>The post <a href="https://www.tanyayeroteaching.com/how-to-start-differentiating-during-your-math-block/">How to start differentiating during your math block</a> appeared first on <a href="https://www.tanyayeroteaching.com">Tanya Yero Teaching</a>.</p>
]]></description>
										<content:encoded><![CDATA[
<p class="wp-block-paragraph">

Your students all learn differently and at different paces. While some students may come in your classroom with certain standards already mastered, others may struggle with basic skills. That&#8217;s why differentiation is so important. To challenge and help all learners meet their standards, it&#8217;s vital to meet your students where they&#8217;re at. With so many different learning styles and understandings in your classroom, differentiating can be challenging in math class. Learn <strong>how to start differentiating during your math block</strong>!

</p>



<h2 class="wp-block-heading">Start small!</h2>



<p class="wp-block-paragraph">

Don&#8217;t feel like every day has to be completely differentiated. At the start of a unit, for example, you&#8217;ll most likely introduce the lesson as a full group.

Using rotations or centers is an easy, effective way to differentiate instruction. Use once-a-week complete rotations or use periodic centers to start out with small, simple lessons. While most students are completing activities in their rotations, you can work 1-on-1 or with smaller groups that need additional help. 

</p>



<h2 class="wp-block-heading">Group your students by ability.</h2>



<p class="wp-block-paragraph">

In your rotations, students can be grouped by ability. This helps students who have mastered the standards to be challenged and work on extension materials, students who are still mastering the the standards focus on their grade-level skills, and students that are struggling to receive scaffolding and additional 1-on-1 support. 

</p>



<h2 class="wp-block-heading">Use data to group students.</h2>



<p class="wp-block-paragraph">

Use data from your own formative assessments or pre-tests to group students. In addition, your school or district may implement progress monitoring tests like Measure of Academic Progress (MAP) that has tools in the reports that will group students according to mastery in specific skills. 

Your groups may change depending on the concepts and standards your teaching. While some students may be proficient and specific concepts, they may struggle or need additional help when new content comes up. Be flexible with your groupings and use data to inform your instruction. 
 
</p>



<h2 class="wp-block-heading">Tier the work that you complete in the rotation.</h2>



<p class="wp-block-paragraph"> In your rotations, you&#8217;ll have three levels of students. There may be more than one small group for each level, typically with the on grade level students.  I love using <a rel="noopener noreferrer" href="https://www.teacherspayteachers.com/Store/Tanya-Yero-Teaching/Category/Guided-Math-Reference-Mats-270023" target="_blank">Guided Math Reference Mats</a> that focus on various concepts and skills throughout the year. Every math reference set has three differentiated levels. The mats look similar, so your students will feel comfortable with the content they are receiving.  Group A is for students who are in need of remediation, Group B is for students working on grade level, and Group C is for students who need enrichment. You&#8217;ll introduce the activities as a whole group, then have students get into their rotation groups. Because the activities are now digital as well, these can be completed at home during distance learning as independent work.  </p>



<div class="wp-block-image"><figure class="aligncenter size-large is-resized"><img loading="lazy" decoding="async" src="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/6FC156C1-3050-4947-9E32-02338A344773-1-1024x1024.jpg" alt="" class="wp-image-4536" width="546" height="546" srcset="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/6FC156C1-3050-4947-9E32-02338A344773-1-1024x1024.jpg 1024w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/6FC156C1-3050-4947-9E32-02338A344773-1-300x300.jpg 300w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/6FC156C1-3050-4947-9E32-02338A344773-1-150x150.jpg 150w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/6FC156C1-3050-4947-9E32-02338A344773-1-768x768.jpg 768w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/6FC156C1-3050-4947-9E32-02338A344773-1-800x800.jpg 800w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/6FC156C1-3050-4947-9E32-02338A344773-1.jpg 1512w" sizes="(max-width: 546px) 100vw, 546px" /></figure></div>



<h2 class="wp-block-heading">Have struggling students work their way up to on grade level work.</h2>



<p class="wp-block-paragraph"> Even if your students are working on Group A material, they shouldn&#8217;t necessarily stay there all year! Encourage and help struggling students make their way up to grade-level work. Some students that really struggle with math may not make it there, but it&#8217;s important to give them all the tools and support they need to go beyond the scaffolded instruction.  </p>



<div class="wp-block-image"><figure class="aligncenter size-large"><img loading="lazy" decoding="async" width="720" height="540" src="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/guided-math-mats-1.png" alt="" class="wp-image-4538" srcset="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/guided-math-mats-1.png 720w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/guided-math-mats-1-300x225.png 300w" sizes="(max-width: 720px) 100vw, 720px" /></figure></div>



<h2 class="wp-block-heading">Differentiated work should be span across MULTIPLE grade levels.</h2>



<p class="wp-block-paragraph"> Although you should try to stay on grade level as much as you can, it&#8217;s important to review prior year content and challenge students who have met the standards to go beyond the current grade&#8217;s content. Your standardized testing is on grade level and the assessments you are expected to give throughout the year according to your district are too. In addition, each grade level in your school should be differentiating instruction. Work together with your staff or department to help all students receive differentiation in math.  </p>



<h2 class="wp-block-heading">Keep data.</h2>



<p class="wp-block-paragraph">Keep assessment and skill data on students, especially those who are in need of intervention. When considering testing students for special education, they don&#8217;t just jump into services. It&#8217;s important to take notes and keep data to support additional intervention and service needs. Learn more about <a rel="noopener noreferrer" href="https://www.tanyayeroteaching.com/?s=intervention&amp;swpmfe=652ea0d21b1427a1bfa685e40d9bc1de" target="_blank">how to effectively use intervention in your math instruction</a>.  Get started differentiating during your math block by using rotations, challenging your students meeting standards, and helping your students in need of interventions get additional support.  </p>



<div class="wp-block-image"><figure class="aligncenter size-large"><img loading="lazy" decoding="async" width="770" height="1024" src="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/how-to-differentiate-your-math-block-1-770x1024.png" alt="" class="wp-image-4534" srcset="https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/how-to-differentiate-your-math-block-1-770x1024.png 770w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/how-to-differentiate-your-math-block-1-226x300.png 226w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/how-to-differentiate-your-math-block-1-768x1021.png 768w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/how-to-differentiate-your-math-block-1-800x1063.png 800w, https://www.tanyayeroteaching.com/wp-content/uploads/2020/09/how-to-differentiate-your-math-block-1.png 939w" sizes="(max-width: 770px) 100vw, 770px" /></figure></div>



<p class="wp-block-paragraph"></p>
<p>The post <a href="https://www.tanyayeroteaching.com/how-to-start-differentiating-during-your-math-block/">How to start differentiating during your math block</a> appeared first on <a href="https://www.tanyayeroteaching.com">Tanya Yero Teaching</a>.</p>
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