{"id":2188,"date":"2024-03-27T19:39:38","date_gmt":"2024-03-28T02:39:38","guid":{"rendered":"https:\/\/theothermath.com\/?p=2188"},"modified":"2024-03-27T19:39:38","modified_gmt":"2024-03-28T02:39:38","slug":"what-to-look-for-in-online-math-fluency-apps","status":"publish","type":"post","link":"https:\/\/theothermath.com\/index.php\/2024\/03\/27\/what-to-look-for-in-online-math-fluency-apps\/","title":{"rendered":"What to look for in online math fluency apps"},"content":{"rendered":"<p class=\"c1\"><span class=\"c0\">The other day I received a text from a school district I serve. It read, &#8220;On a scale of 1-10, how important is math fact fluency?&#8221;<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">My answer: \u00a011<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">In a follow-up text, they asked for my thoughts on fluency instruction, fluency practice, and whether there are any online apps to support the development of fluency. I thought I&#8217;d share my thoughts for all to read.<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">There are a bazillion online apps claiming to develop fluency, but first let&#8217;s describe what \u2013 exactly \u2013 fluency is.<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">For most people, math fact fluency means the quick and accurate recall of basic math facts in addition, subtraction, multiplication, and division. This is a correct, but incomplete, definition of fact fluency.<\/span><\/p>\n<h2 class=\"c1\"><span class=\"c0\">What is basic math fact fluency?<\/span><\/h2>\n<p class=\"c1\">Basic math fact fluency requires the presence of\u00a0<span class=\"c3\"><a class=\"c4\" href=\"https:\/\/www.google.com\/url?q=https:\/\/nwcommons.nwciowa.edu\/cgi\/viewcontent.cgi?article%3D1516%26context%3Deducation_masters&amp;sa=D&amp;source=editors&amp;ust=1711596764118014&amp;usg=AOvVaw2xn10jiGhqg8O7RofU0JP3\">FOUR critical components<\/a><\/span><span class=\"c0\">:<\/span><\/p>\n<ul>\n<li class=\"c1\"><span class=\"c0\">Efficiency<\/span><\/li>\n<li class=\"c1\"><span class=\"c0\">Accuracy<\/span><\/li>\n<li class=\"c1\"><span class=\"c0\">Flexibility<\/span><\/li>\n<li class=\"c1\"><span class=\"c0\">Appropriate choice of strategy<\/span><\/li>\n<\/ul>\n<p class=\"c1\"><span class=\"c0\">For decades we have focused on the first two components \u2013 efficiency (fast) and accuracy \u2013 while under-developing our students&#8217; ability to think flexibly about the numbers and select an appropriate strategy for arriving at the answer if the answer does not immediately come to mind.<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">When we use this broader vision of math fact fluency, it suddenly calls into question our use of flashcards and online apps that merely provide some sort of naked problem (like 6 x 8) and feedback based on the student&#8217;s answer (happy bells for correct answers and buzzers for wrong answers). This is because flashcards and most online apps only focus on speed and accuracy, while completely ignoring flexibility and appropriate choice of strategy.<\/span><\/p>\n<h2 class=\"c1\"><span class=\"c0\">How do we develop math fact fluency?<\/span><\/h2>\n<p class=\"c1\"><span class=\"c0\">We develop math fact fluency by guiding students through three stages in order:<\/span><\/p>\n<h3 class=\"c1\"><span class=\"c0\">Stage 1: Conceptual Learning<\/span><\/h3>\n<p class=\"c1\"><span class=\"c0\">We begin by teaching the meaning of the operations so students truly understand them. Students in early grades begin by understanding that addition and subtraction mean join together and take apart. In third and fourth grade students need to learn that multiplication and division means joining and separating equal groups. To reinforce the meanings of each operation, students must be given ample opportunities to use lots of concrete manipulatives and pictorial models.<\/span><\/p>\n<h3 class=\"c1\"><span class=\"c0\">Stage 2: Learn Fact Strategies<\/span><\/h3>\n<p class=\"c1\"><span class=\"c0\">Rather than merely focusing on memorization of facts, teachers need to explicitly teach strategies for deriving answers. For addition and subtraction examples of these strategies are make a ten, doubles, add a friendly number, etc. In multiplication and division strategies might include doubling and halving, distributive property, multiply by a friendly number, etc.<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">Students need to be provided with lots of opportunities to practice and apply these strategies, while emphasizing relationships and connections between the numbers and recognizing which strategy is more efficient than the others. Students are still expected to use lots of manipulatives and models, but now it is to develop deeper insight as to WHY the strategies work and to justify why they used a particular strategy.<\/span><\/p>\n<h3 class=\"c1\"><span class=\"c0\">\u00a0<\/span><span class=\"c0\">Stage 3: Memorization of Basic Math Facts<\/span><\/h3>\n<p class=\"c1\">Students are finally ready to begin putting their facts to memory through a variety of practice. This might be in the form of games, flashcards, online applications, etc. Whatever form of practice you choose for your students, keep it fun! Your target is for students to recall a fact within 2 to 3 seconds. Ideally, students will be given math facts to remember through an approach called\u00a0<span class=\"c3\"><a class=\"c4\" href=\"https:\/\/www.google.com\/url?q=https:\/\/en.wikipedia.org\/wiki\/Spaced_repetition&amp;sa=D&amp;source=editors&amp;ust=1711596764119798&amp;usg=AOvVaw2Kbsozgb5Rd0Eu2s-N5iJr\">spaced repetition<\/a><\/span><span class=\"c0\">, in which students are shown facts they are most likely to forget thereby ensuring all problems reach long-term memory.<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">By the time students have reached Stage 3, many of the facts will already be in long-term memory simply through the repeated efforts of Stage 1 and Stage 2. Essentially, students are REMEMBERING their facts more than they are MEMORIZING them.<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">This finally brings me to those online applications that schools and districts pay so much money for. Tools like <a href=\"https:\/\/reflex.explorelearning.com\/\"><strong>Reflex Math<\/strong><\/a> and <a href=\"https:\/\/home.xtramath.org\/\"><strong>Xtramath<\/strong><\/a> focus nearly exclusively on speed and accuracy while ignoring flexibility and appropriate choice of strategy.<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">Case in point:<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">Reflex literally says they focus on a single strategy: fact family.<\/span><\/p>\n<p class=\"c1\"><img title=\"\" src=\"https:\/\/lh7-us.googleusercontent.com\/nExZz-6wMLgLPrvpH9vcTe9erknBLrNR25LSku7mhznq3fifixGMoD2mKJl-2ICSEI_n0kf2-BgXGt5Oc1--Fdo4tNlONrU7J8eiDyZNcw0qbnRATvbSdYnPk-2qrH09oPXyXrZBp_qCgAqKcQr5mFE\" alt=\"\" \/><\/p>\n<p class=\"c1\"><span class=\"c5\"><a class=\"c4\" href=\"https:\/\/www.google.com\/url?q=https:\/\/reflex.explorelearning.com\/about\/why-math-fact-fluency-matters&amp;sa=D&amp;source=editors&amp;ust=1711596764120597&amp;usg=AOvVaw0G404dduC3eU0wM1_DP1lS\">https:\/\/reflex.explorelearning.com\/about\/why-math-fact-fluency-matters<\/a><\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">While Xtramath is even more candid, explicitly saying it does not teach strategies\u2026<\/span><\/p>\n<p class=\"c1\"><img title=\"\" src=\"https:\/\/lh7-us.googleusercontent.com\/AqzIcp660B4-app05Uu_b2d2KQcQNSzmYKASL3bdI83ZdspCX93c656FMkz0FV8vrBIujSf67Zq7EcsqxGKHAIAhqRz4j9-dHCBFjB_Jj1cW9Y0s1rnsFth5b8nwsP9Cy3I16-kGWl310FSMG8bZlQE\" alt=\"\" \/><\/p>\n<p class=\"c1\"><span class=\"c5\"><a class=\"c4\" href=\"https:\/\/www.google.com\/url?q=https:\/\/home.xtramath.org\/support\/how-does-xtramath-work&amp;sa=D&amp;source=editors&amp;ust=1711596764121023&amp;usg=AOvVaw3FWfIZYxZRJv-JcdIIsphm\">https:\/\/home.xtramath.org\/support\/how-does-xtramath-work<\/a><\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">Since Reflex and Xtramath (and online apps like them) only focus on speed and accuracy, students generally continue using what limited repertoire of strategies they already have (this is almost exclusively finger-counting) and merely attempt to get faster at that limited repertoire. Unfortunately, students do not develop more efficient strategies that will lead to long-term math success.<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">For example, both Reflex and Xtramath allow (even encourage) students to continue using finger-counting strategies during addition and subtraction, failing to introduce students to more sophisticated strategies that will also prepare students for multiplication and division.<\/span><\/p>\n<h2 class=\"c1\"><span class=\"c0\">A hopeful alternative<\/span><\/h2>\n<p class=\"c1\">I was recently introduced to an online tool called\u00a0<span class=\"c3\"><a class=\"c4\" href=\"https:\/\/www.google.com\/url?q=https:\/\/www.mathfactlab.com\/&amp;sa=D&amp;source=editors&amp;ust=1711596764121759&amp;usg=AOvVaw28bRQL1Ua4VFybY4qytJbd\">MathFactLab<\/a><\/span><span class=\"c0\">. This online tool focuses on teaching students a variety of strategies and models as integral components of mastering basic math facts.<\/span><\/p>\n<p class=\"c1\">\u00a0<img title=\"\" src=\"https:\/\/lh7-us.googleusercontent.com\/LdcVWB5a91E-cb5jcsZBJhSO3D08LMmcjhw-bxJKkf-zVAFbz_XiYAvOpx0xGTVa6RfWuLCe5Pi2SRQqcDw9MLGwpbqreqPhzQOztxIbXmdusx5lFeN1bu1x47erRwwaBklg7oHFpKOnTlkJd2ccQNg\" alt=\"\" \/><\/p>\n<p class=\"c1\"><span class=\"c0\">If you are looking for an effective fluency tool, consider checking out MathFactLab.<\/span><\/p>\n<p class=\"c1\">Another fantastic online tool for mastering multiplication facts is\u00a0<span class=\"c3\"><a class=\"c4\" href=\"https:\/\/www.google.com\/url?q=https:\/\/youtu.be\/gsexZ1I30xE?si%3DI0VUINDOG0FkVgAO&amp;sa=D&amp;source=editors&amp;ust=1711596764122217&amp;usg=AOvVaw3w9nFMOcuKXWDbRBB5tG22\">Multiplication By Heart<\/a><\/span><span class=\"c0\">. MBH introduces students to a variety of models for students to use to answer questions. MBH also employs manages the spaced repetition automatically so you don&#8217;t have to.<\/span><\/p>\n<h3 class=\"c1\"><span class=\"c0\">In conclusion<\/span><\/h3>\n<p class=\"c1\"><span class=\"c0\">Online tools like Reflex and Xtramath might be reasonable tools to use for practice and progress monitoring, but only AFTER students have already been fully immersed in strategies, concrete models, and pictorial representations and have had plenty of offline practice developing flexibility with those strategies.<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">If Reflex or Xtramath are tools your district is already using, please consider how students might access ALL FOUR components of math fact fluency: efficiency, accuracy, flexibility, appropriate strategy use.<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">.<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">.<\/span><\/p>\n<p class=\"c1\"><span class=\"c0\">.<\/span><\/p>\n<p class=\"c1 c2\">\n","protected":false},"excerpt":{"rendered":"<p>The other day I received a text from a school district I serve. It read, &#8220;On a scale of 1-10, how important is math fact fluency?&#8221; My answer: \u00a011 In a follow-up text, they asked for my thoughts on fluency instruction, fluency practice, and whether there are any online apps to support the development of [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2189,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[4],"tags":[107,109,108],"_links":{"self":[{"href":"https:\/\/theothermath.com\/index.php\/wp-json\/wp\/v2\/posts\/2188"}],"collection":[{"href":"https:\/\/theothermath.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/theothermath.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/theothermath.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/theothermath.com\/index.php\/wp-json\/wp\/v2\/comments?post=2188"}],"version-history":[{"count":2,"href":"https:\/\/theothermath.com\/index.php\/wp-json\/wp\/v2\/posts\/2188\/revisions"}],"predecessor-version":[{"id":2191,"href":"https:\/\/theothermath.com\/index.php\/wp-json\/wp\/v2\/posts\/2188\/revisions\/2191"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/theothermath.com\/index.php\/wp-json\/wp\/v2\/media\/2189"}],"wp:attachment":[{"href":"https:\/\/theothermath.com\/index.php\/wp-json\/wp\/v2\/media?parent=2188"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theothermath.com\/index.php\/wp-json\/wp\/v2\/categories?post=2188"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theothermath.com\/index.php\/wp-json\/wp\/v2\/tags?post=2188"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}