  {"id":608,"date":"2019-04-29T09:19:46","date_gmt":"2019-04-29T13:19:46","guid":{"rendered":"https:\/\/adultnumeracyatterc.wordpress.com\/?p=608"},"modified":"2021-04-30T20:50:59","modified_gmt":"2021-04-30T20:50:59","slug":"a-revolution-in-math-education-why-its-different-this-time","status":"publish","type":"post","link":"https:\/\/www.terc.edu\/adultnumeracycenter\/a-revolution-in-math-education-why-its-different-this-time\/","title":{"rendered":"A Revolution in Math Education \u2013 Why It\u2019s Different This Time"},"content":{"rendered":"\n<p>by Sarah Lonberg-Lew<\/p>\n\n\n\n<p>At the <a rel=\"noreferrer noopener\" aria-label=\"Adult Numeracy Center at AV巴士 (opens in a new tab)\" href=\"http:\/\/adultnumeracy.terc.edu\" target=\"_blank\">Adult Numeracy Center at AV巴士<\/a>, we are big fans of the work of Stanford Professor Dr. Jo Boaler. Dr. Boaler has taken the groundbreaking work of psychologist <a href=\"https:\/\/mindsetonline.com\/abouttheauthor\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\"Carol Dweck (opens in a new tab)\">Carol Dweck<\/a> on \u201cmindset\u201d and built an organization aimed at revolutionizing the way math is taught. Her organization, <a href=\"http:\/\/www.youcubed.org\">YouCubed.org<\/a>, promotes teaching math as an open, visual, creative subject, focusing on building strong conceptual understanding over ability to reproduce procedures quickly. Most importantly, YouCubed encourages math educators to work to cultivate a \u201cgrowth mindset\u201d in their students. Simply put, a growth mindset means the awareness that the brain can grow. With hard work and conceptually rich experiences, our brains can become better at math \u2013 something many people believe is not possible for them. <\/p>\n\n\n\n<p>Dr. Boaler ends emails to YouCube\u2019s subscribers with the\nwords, \u201cViva la revolution\u201d because this really is a revolutionary approach to\nmath education, and in our own little corner of the math education world, we at\nthe Adult Numeracy Center are a part of it. Many of our adult learners have been\nvery hurt by a traditional approach to math education that focuses on speed and\nability to memorize \u2013 and conflates those qualities with intelligence. They\ndeserve a chance to realize their own mathematical potential and to reclaim\nwhat it means to be smart. <\/p>\n\n\n\n<p>I recently had a conversation with another teacher about the distressing idea that attempts at math education reform have been going on for decades and that they are always met with resistance from teachers and parents. Ultimately, each new reform attempt fades away, only to be replaced with the next. People still talk derisively about the \u201cnew math\u201d of the 1960s and how it took \u201ceasy\u201d procedures for computation and made them unnecessarily complicated with the aim of having students understand why they were doing what they were doing and not just how to do it. One strategy for achieving this was to teach students to calculate in different bases (like base 2 or base 8) in the hopes that that would help them develop a really deep understanding of numbers and operations. This meant students were doing math that looked like nonsense to people who had learned \u201cthe old way\u201d and was met with frustration by parents who could not make sense of their children\u2019s homework. The things people said about the new math sounded very similar to the complaints about math education flooding the internet today. (See Tom Lehrer\u2019s satire on the new math (below) and ask yourself if today\u2019s parents and teachers could have written it!)<\/p>\n\n\n\n<figure class=\"wp-block-embed-youtube wp-block-embed is-type-rich wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Tom Lehrer - New Math (Animated)\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/UIKGV2cTgqA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p>So I wondered, is what we\u2019re doing now any different? Are we\nrepeating history with this current attempt to reform math education? Happily,\nI found that the answer is that what we are doing now <em>is<\/em> different and new. There are two pieces that seem to me to be\nvery different from previous attempts, and they give me hope.<\/p>\n\n\n\n<p>One is that our focus now is not on <em>showing<\/em> students why they are doing what they are doing. That is only\nmarginally more effective than teaching mnemonics for procedures. We now know\nthat it is important for students to construct for themselves which of their\nstrategies work and why. By beginning with an idea of the meaning of an\noperation, like subtraction, students have the opportunity to construct many\nstrategies that they understand and retain because those strategies <em>belong<\/em> to them. Whether the traditional\nprocedure we all learned in school is among those strategies depends on the\nstudent. Nobody has to be forced into being able to explain the idea of\n\u201cborrowing\u201d \u2013 they will either make sense of it or use other strategies. The\nimportant thing is that they will know when to subtract in the real world and\nbe able to do it accurately. <\/p>\n\n\n\n<p>The other very important difference between the &#8220;old&#8221;\nnew math and the &#8220;new&#8221; math revolution is the idea of growth mindset\nand the real neuroscience that supports it. Cultivating a growth mindset in our\nstudents doesn\u2019t just mean saying \u201cDon\u2019t give up! You can do it! I believe in\nyou!\u201d These are important messages, but more important is the idea of <em>neuroplasticity<\/em> \u2013 the ability our brains\nhave to change how they work through effort and practice. This is a major\nparadigm shift and research has shown that when people develop a growth\nmindset, they approach their learning differently and become much more\nsuccessful at learning math (or anything else!). Knowing that our brains are\ncapable of growth empowers us to create that growth.<\/p>\n\n\n\n<p>The current revolution may feel on the surface like old\nfailed attempts at math education reform. Constructing understanding through\nvisuals and flexible thinking can make the work look more complicated than\ntraditional procedures on paper, but this is not the &#8220;new math&#8221;\nredux. This time we are empowering students to be their own sense-makers with\nthe knowledge that they can grow their brains to think in new and powerful\nways.<\/p>\n\n\n\n<p class=\"has-red-color has-text-color has-medium-font-size\"><em>Viva la revolution!<\/em><\/p>\n\n\n\n<p><strong>Reference:<\/strong><\/p>\n\n\n\n<p>Boaler, J. (2013).&nbsp;<a href=\"https:\/\/bhi61nm2cr3mkdgk1dtaov18-wpengine.netdna-ssl.com\/wp-content\/uploads\/14_Boaler_FORUM_55_1_web.pdf\">Ability and Mathematics: the mindset revolution that is reshaping education<\/a>.&nbsp;<em>FORUM<\/em>, 55, 1, 143-152.<\/p>\n\n\n\n<p><em>==================================================<\/em><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"alignright\"><img loading=\"lazy\" decoding=\"async\" width=\"117\" height=\"149\" src=\"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-content\/uploads\/sites\/28\/2017\/01\/sarahlonberg-lew.jpg?w=170&amp;h=218\" alt=\"\" class=\"wp-image-387\"\/><\/figure><\/div>\n\n\n\n<p class=\"has-text-align-justify\"><em>Sarah Lonberg-Lew has been teaching and tutoring math in one form or another since college. She has worked with students ranging in age from 7 to 70, but currently focuses on adult basic education and high school equivalency. She teaches in an adult education program in Gloucester, MA. Sarah\u2019s work with the&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/external-wiki.terc.edu\/display\/SABESNumeracyPD\/SABES+Center+Home\" target=\"_blank\">SABES Mathematics and Adult&nbsp;Numeracy Curriculum &amp; Instruction PD Center<\/a>&nbsp;at&nbsp;<a rel=\"noreferrer noopener\" href=\"http:\/\/www.terc.edu\/\" target=\"_blank\">AV巴士<\/a>&nbsp;includes developing and facilitating trainings and assisting programs with curriculum development.&nbsp;She is the treasurer for the&nbsp;<a rel=\"noreferrer noopener\" href=\"https:\/\/na01.safelinks.protection.outlook.com\/?url=http%3A%2F%2Fwww.adultnumeracynetwork.org%2F&amp;data=02%7C01%7Csherry_soares%40terc.edu%7Cb33f97b587184471e68808d5abd88ba9%7C322d5924eb17485dad2e5078894cc39a%7C0%7C0%7C636603868905929908&amp;sdata=9FEQ6MizQs4bVP7OVGFCKYSAPPqBIZEZfW9%2BmZK86oM%3D&amp;reserved=0\" target=\"_blank\">Adult Numeracy Network<\/a>.<\/em><\/p>\n<div style=\"margin-top: 0px; margin-bottom: 0px;\" class=\"sharethis-inline-share-buttons\" ><\/div>","protected":false},"excerpt":{"rendered":"<p>by Sarah Lonberg-Lew<\/p>\n<p>At the <a rel=\"noreferrer noopener\" aria-label=\"Adult Numeracy Center at AV巴士 (opens in a new tab)\" href=\"http:\/\/adultnumeracy.terc.edu\" target=\"_blank\">Adult Numeracy Center at AV巴士<\/a>, we are big fans of the work of Stanford Professor Dr. Jo Boaler. Dr. Boaler has taken the groundbreaking work of psychologist <a href=\"https:\/\/mindsetonline.com\/abouttheauthor\/\" target=\"_blank\" rel=\"noreferrer noopener\" aria-label=\"Carol Dweck (opens in a new tab)\">Carol Dweck<\/a> on \u201cmindset\u201d and built an organization aimed at revolutionizing the way math is taught. Her organization, <a href=\"http:\/\/www.youcubed.org\">YouCubed.org<\/a>, promotes teaching math as an open, visual, creative subject, focusing on building strong conceptual understanding over ability to reproduce procedures quickly.  <a href=\"https:\/\/www.terc.edu\/adultnumeracycenter\/a-revolution-in-math-education-why-its-different-this-time\/\">&nbsp;&raquo;&nbsp;Read more<\/a><\/p>\n","protected":false},"author":31,"featured_media":798,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","footnotes":""},"categories":[1],"tags":[56,70],"class_list":["post-608","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-uncategorized","tag-growth-mindset","tag-new-math"],"acf":[],"cp_meta_data":{"_wpas_skip_22296265":["1"],"timeline_notification":["1556543989"],"_publicize_job_id":["30277635883"],"_oembed_be5dd8582c104f696cc23e9d2b3d9cda":["<iframe title=\"Tom Lehrer - New Math (Animated)\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/UIKGV2cTgqA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe>"],"_oembed_time_be5dd8582c104f696cc23e9d2b3d9cda":["1618239797"],"_edit_lock":["1619815860:16"],"_thumbnail_id":["798"],"_edit_last":["16"],"custom_page_title":[""],"_custom_page_title":["field_5db45d9c2601b"],"external_link":[""],"_external_link":["field_5d6033845a92c"],"hide_share_buttons":["0"],"_hide_share_buttons":["field_5e5c1be61306c"],"_oembed_d56da219a912b3831a48d04495562389":["<iframe title=\"Tom Lehrer - New Math (Animated)\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/UIKGV2cTgqA?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>"],"_oembed_time_d56da219a912b3831a48d04495562389":["1714550619"]},"_links":{"self":[{"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/posts\/608","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/users\/31"}],"replies":[{"embeddable":true,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/comments?post=608"}],"version-history":[{"count":1,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/posts\/608\/revisions"}],"predecessor-version":[{"id":1311,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/posts\/608\/revisions\/1311"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/media\/798"}],"wp:attachment":[{"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/media?parent=608"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/categories?post=608"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.terc.edu\/adultnumeracycenter\/wp-json\/wp\/v2\/tags?post=608"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}