{"id":5,"date":"2023-10-27T13:55:58","date_gmt":"2023-10-27T12:55:58","guid":{"rendered":"http:\/\/advaspire.com\/?p=5"},"modified":"2023-12-24T07:46:41","modified_gmt":"2023-12-24T07:46:41","slug":"how-to-teach-maths-easily","status":"publish","type":"post","link":"https:\/\/advaspire.com\/cn\/how-to-teach-maths-easily\/","title":{"rendered":"How to Teach Maths Easily: 6 Most Effective Steps"},"content":{"rendered":"<div data-elementor-type=\"wp-post\" data-elementor-id=\"5\" class=\"elementor elementor-5\">\n\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9a29889 e-flex e-con-boxed e-con e-parent\" data-id=\"9a29889\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-e7eb659 elementor-widget elementor-widget-text-editor\" data-id=\"e7eb659\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 17-10-2023 *\/\n.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block}<\/style>\t\t\t\t<p><span style=\"font-weight: 400;\">The ultimate goals of mathematics instruction\u00a0are students understanding the material presented, applying the skills, and recalling the concepts in the future. There&#8217;s little benefit in students recalling a formula or procedure to prepare for an assessment tomorrow only to forget the core concept by next week. It&#8217;s imperative for teachers to focus on making sure that the students understand the material and not just memorize the procedures.<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-341debd e-flex e-con-boxed e-con e-parent\" data-id=\"341debd\" data-element_type=\"container\" data-settings=\"{&quot;content_width&quot;:&quot;boxed&quot;}\" data-core-v316-plus=\"true\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-1ca813c elementor-widget elementor-widget-heading\" data-id=\"1ca813c\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 17-10-2023 *\/\n.elementor-heading-title{padding:0;margin:0;line-height:1}.elementor-widget-heading .elementor-heading-title[class*=elementor-size-]>a{color:inherit;font-size:inherit;line-height:inherit}.elementor-widget-heading .elementor-heading-title.elementor-size-small{font-size:15px}.elementor-widget-heading .elementor-heading-title.elementor-size-medium{font-size:19px}.elementor-widget-heading .elementor-heading-title.elementor-size-large{font-size:29px}.elementor-widget-heading .elementor-heading-title.elementor-size-xl{font-size:39px}.elementor-widget-heading .elementor-heading-title.elementor-size-xxl{font-size:59px}<\/style><h4 class=\"elementor-heading-title elementor-size-default\">Methods to teach for understanding in the mathematics classroom<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ad83d22 elementor-widget elementor-widget-text-editor\" data-id=\"ad83d22\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ol><li><a href=\"#p-1\"><span style=\"font-weight: 400;\">Create an effective class opener.<\/span><\/a><\/li><li><a href=\"#p-2\"><span style=\"font-weight: 400;\">Introduce topics using multiple representations.<\/span><\/a><\/li><li><a href=\"#p-3\"><span style=\"font-weight: 400;\">Solve the problems many ways.<\/span><\/a><\/li><li><a href=\"#p-4\">Show the application.<\/a><\/li><li><a href=\"#p-5\"><span style=\"font-weight: 400;\">Have students communicate their reasoning.<\/span><\/a><\/li><li><a href=\"#p-6\"><span style=\"font-weight: 400;\">Finish class with a summary.<\/span><\/a><\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5bf961f elementor-widget elementor-widget-image\" data-id=\"5bf961f\" data-element_type=\"widget\" id=\"p-1\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<style>\/*! elementor - v3.16.0 - 17-10-2023 *\/\n.elementor-widget-image{text-align:center}.elementor-widget-image a{display:inline-block}.elementor-widget-image a img[src$=\".svg\"]{width:48px}.elementor-widget-image img{vertical-align:middle;display:inline-block}<\/style>\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"516\" height=\"360\" src=\"https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/objective.webp\" class=\"attachment-large size-large wp-image-3207\" alt=\"\" srcset=\"https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/objective.webp 516w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/objective-300x209.webp 300w\" sizes=\"(max-width: 516px) 100vw, 516px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-165fdb5 elementor-widget elementor-widget-heading\" data-id=\"165fdb5\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">1. Create an effective class opener.<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-a3b3304 elementor-widget elementor-widget-text-editor\" data-id=\"a3b3304\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">The first five minutes of the class period set the tone for the entire lesson. Ideally, teachers would start by sharing the agenda for the class period so that students will know the expectations for what will be occurring. <\/span><\/p><p><span style=\"font-weight: 400;\">Next, teachers could post and articulate the learning objective or essential question to the class so that students know the purpose and, at the end of the lesson, can self-assess whether the objective has been met for them. <\/span><\/p><p><span style=\"font-weight: 400;\">Finally, the opener might include one or more warm-up problems as a way to review and assess students&#8217; prior knowledge in preparation for exposure to the new material.<\/span><\/p><p><span style=\"font-weight: 400;\">\u00a0<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c85a883 elementor-widget elementor-widget-image\" data-id=\"c85a883\" data-element_type=\"widget\" id=\"p-2\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"876\" height=\"550\" src=\"https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/example.webp\" class=\"attachment-large size-large wp-image-3202\" alt=\"\" srcset=\"https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/example.webp 876w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/example-600x377.webp 600w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/example-300x188.webp 300w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/example-768x482.webp 768w\" sizes=\"(max-width: 876px) 100vw, 876px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ca8ea83 elementor-widget elementor-widget-heading\" data-id=\"ca8ea83\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">2. Introduce topics using multiple representations.<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c81b8b1 elementor-widget elementor-widget-text-editor\" data-id=\"c81b8b1\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">The more types of representations that you can present to students addressing their different learning styles, the more likely they will truly understand the concept being presented. Different representations could include using manipulatives, showing a picture, drawing out the problem, and offering a symbolic representation. <\/span><\/p><p><span style=\"font-weight: 400;\">For example, when presenting linear relationships with one unknown, illustrate to students the same problem as an equation, on a number line, in words, and with pictures. Students who are exposed to and can recognise the same relationship posed in the different representational modes are more likely to have conceptual understanding of the relationship and perform better on assessments.<\/span><\/p><p>\u00a0<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6d6dfe9 elementor-widget elementor-widget-image\" data-id=\"6d6dfe9\" data-element_type=\"widget\" id=\"p-3\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"576\" src=\"https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/multiple-ways-1024x576.webp\" class=\"attachment-large size-large wp-image-3204\" alt=\"\" srcset=\"https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/multiple-ways-1024x576.webp 1024w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/multiple-ways-600x338.webp 600w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/multiple-ways-300x169.webp 300w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/multiple-ways-768x432.webp 768w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/multiple-ways.webp 1200w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4268c96 elementor-widget elementor-widget-heading\" data-id=\"4268c96\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">3. Solve the problems many ways.<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-531a47f elementor-widget elementor-widget-text-editor\" data-id=\"531a47f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">In the best classroom environment, the teacher is able to show different ways to solve the same problem and encourage the students to come up with their own creative ways to solve them. The more strategies and approaches that students are exposed to, the deeper their conceptual understanding of the topic becomes. <\/span><\/p><p><span style=\"font-weight: 400;\">Empowering students to create their own problem-solving methods can make the teacher nervous. What if we don&#8217;t follow their logic? What if they&#8217;re incorrect? However, it&#8217;s worth the risk to have them explore. <\/span><\/p><p><span style=\"font-weight: 400;\">After an individual, pair, or small group of students finish solving the class problem using a single method, encourage them to look for alternate ways to come up with the same correct solution. Having students develop their own methods and then share the correct steps with the class is a very powerful learning experience.<\/span><\/p><p>\u00a0<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9fdc55c elementor-widget elementor-widget-image\" data-id=\"9fdc55c\" data-element_type=\"widget\" id=\"p-4\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"850\" height=\"425\" src=\"https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/virtual-to-real.webp\" class=\"attachment-large size-large wp-image-3205\" alt=\"\" srcset=\"https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/virtual-to-real.webp 850w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/virtual-to-real-600x300.webp 600w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/virtual-to-real-300x150.webp 300w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/virtual-to-real-768x384.webp 768w\" sizes=\"(max-width: 850px) 100vw, 850px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e06cd44 elementor-widget elementor-widget-heading\" data-id=\"e06cd44\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">4. \nShow the application.\n<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-0cc01c3 elementor-widget elementor-widget-text-editor\" data-id=\"0cc01c3\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">In a perfect world, we would always be able to demonstrate how every concept can be applied to the real world &#8212; and when that&#8217;s possible, it helps improve the students&#8217; understanding. When a concept cannot be applied in that manner, we can still share how it might be applied within mathematics or another subject area. See\u00a0<a href=\"https:\/\/advaspire.com\/cn\/6-creative-ways-to-get-your-kids-excited-about-math-in-real-world\/\">6 Creative Ways To Get Your Kids Excited About Math in Real World<\/a>.<\/span><\/p><p><span style=\"font-weight: 400;\">Another option is showing how the concept was developed through the history of math. Consider taking a minute out of each lesson to show your students where or how the math can be seen or used in life outside of the classroom.<\/span><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3ac3a24 elementor-widget elementor-widget-image\" data-id=\"3ac3a24\" data-element_type=\"widget\" id=\"p-5\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"700\" src=\"https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/communicate.webp\" class=\"attachment-large size-large wp-image-3206\" alt=\"\" srcset=\"https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/communicate.webp 1024w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/communicate-600x410.webp 600w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/communicate-300x205.webp 300w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/communicate-768x525.webp 768w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-59228c2 elementor-widget elementor-widget-heading\" data-id=\"59228c2\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">5. Have students communicate their reasoning.<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d576dce elementor-widget elementor-widget-text-editor\" data-id=\"d576dce\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Students need to explain their reasoning when solving problems. In order for a teacher to determine if every student truly understands the objective for the class period, it&#8217;s necessary for each student to communicate both orally and in writing. <\/span><\/p><p><span style=\"font-weight: 400;\">By giving the class ten minutes to discuss their reasoning with each other while exploring multiple ways of solving the problems, you&#8217;ll promote excellent engagement and learning. It&#8217;s not always easy to get students talking in class, but there are ways to encourage them.<\/span><\/p><p>\u00a0<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8b3c9f9 elementor-widget elementor-widget-image\" data-id=\"8b3c9f9\" data-element_type=\"widget\" id=\"p-6\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"959\" height=\"650\" src=\"https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/summary.webp\" class=\"attachment-large size-large wp-image-3203\" alt=\"\" srcset=\"https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/summary.webp 959w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/summary-600x407.webp 600w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/summary-300x203.webp 300w, https:\/\/advaspire.com\/wp-content\/uploads\/2023\/10\/summary-768x521.webp 768w\" sizes=\"(max-width: 959px) 100vw, 959px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8830b28 elementor-widget elementor-widget-heading\" data-id=\"8830b28\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">6. Finish class with a summary.<\/h5>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-715782f elementor-widget elementor-widget-text-editor\" data-id=\"715782f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p><span style=\"font-weight: 400;\">Everyone can get lost in the class period, and it&#8217;s easy to lose track of time until the bell rings and class is over. The final seven minutes might be the most critical in making sure that students have understood the day&#8217;s learning objective. You can use this time to accomplish three very important things:<\/span><\/p><ul><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">A quick formative assessment to determine how much was learned, such as students self-rating their comfort with the concept on a 1-5 scale<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Reviewing the objective for the class period and brief discussion as to where the lesson will go next time<\/span><\/li><li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">Previewing the homework together to avoid any confusion<\/span><\/li><\/ul>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>","protected":false},"excerpt":{"rendered":"<p>The ultimate goals of mathematics instruction\u00a0are students understanding the material presented, applying the skills, and recalling the concepts in the future. There&#8217;s little benefit in students recalling a formula or procedure to prepare for an assessment tomorrow only to forget the core concept by next week. It&#8217;s imperative for teachers to focus on making sure &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/advaspire.com\/cn\/how-to-teach-maths-easily\/\"> <span class=\"screen-reader-text\">How to Teach Maths Easily: 6 Most Effective Steps<\/span> \u67e5\u770b\u5168\u6587 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