{"id":20509,"date":"2023-11-16T05:00:00","date_gmt":"2023-11-16T13:00:00","guid":{"rendered":"https:\/\/www.nwea.org\/blog\/?p=20509"},"modified":"2025-02-20T13:22:27","modified_gmt":"2025-02-20T21:22:27","slug":"building-strong-foundations-for-early-math-skills-at-home","status":"publish","type":"post","link":"https:\/\/www.nwea.org\/blog\/2023\/building-strong-foundations-for-early-math-skills-at-home\/","title":{"rendered":"Building strong foundations for early math skills at home"},"content":{"rendered":"<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img loading=\"lazy\" decoding=\"async\" width=\"850\" height=\"300\" src=\"https:\/\/www.nwea.org\/blog\/uploads\/2023\/11\/building-strong-foundations-for-early-math-skills-at-home_850x300_hero.jpg\" alt=\"\" class=\"wp-image-20511\" srcset=\"https:\/\/www.nwea.org\/blog\/uploads\/2023\/11\/building-strong-foundations-for-early-math-skills-at-home_850x300_hero.jpg 850w, https:\/\/www.nwea.org\/blog\/uploads\/2023\/11\/building-strong-foundations-for-early-math-skills-at-home_850x300_hero-300x106.jpg 300w, https:\/\/www.nwea.org\/blog\/uploads\/2023\/11\/building-strong-foundations-for-early-math-skills-at-home_850x300_hero-768x271.jpg 768w, https:\/\/www.nwea.org\/blog\/uploads\/2023\/11\/building-strong-foundations-for-early-math-skills-at-home_850x300_hero-720x254.jpg 720w\" sizes=\"(max-width: 850px) 100vw, 850px\" \/><\/figure><\/div>\n\n\n<div style=\"height:3rem\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p>One of my daughter Kat\u2019s favorite activities as a toddler was lining up a set of plastic bears that she would \u201cborrow\u201d from her older sister\u2019s toys. They came in four different colors, and at first she enjoyed just putting them in a row. Later, she would make simple patterns as she arranged them in a snaking line. We have a video of her from when she was almost two years old saying the word \u201cda\u201d each time she pointed at a bear, moving her finger along the row, one by one. While she didn\u2019t have the number words just yet, she was clearly developing the beginning procedures for counting. This video has remained a family favorite, admittedly less because of its wonderful depiction of early math skills and more because of how quickly Kat abandoned her counting when her sister walked in the room with a new doll. Apparently one new doll was larger in this toddler\u2019s mind than twenty old bears!<\/p>\n\n\n\n<p>I started thinking about all this after writing <a href=\"https:\/\/www.nwea.org\/blog\/2023\/everything-you-ever-wanted-to-know-about-early-numeracy-but-didnt-know-to-ask\/\">my previous post<\/a> about the importance of early math skills. Many <a href=\"https:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC4719158\/pdf\/nihms734947.pdf\">studies<\/a>indicate that the math skills that children have when they enter school are highly predictive of their math achievement beyond elementary school. Additionally, a <a href=\"https:\/\/www.frontiersin.org\/articles\/10.3389\/fpsyg.2020.02074\/full\">recent review of the research literature<\/a> found that 32 out of the 37 studies reviewed showed a positive association between home numeracy activities and children\u2019s math skills.<\/p>\n\n\n\n<p>All this got me thinking about how I encouraged math skills in my own children and what opportunities I might have missed. It also got me wondering where in her developmental trajectory Kat was when she was \u201ccounting\u201d those bears. Luckily, there are many resources available to help parents and caregivers support early math development.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:21px\">What young children know about math<\/h2>\n\n\n\n<p>When thinking about how to support children\u2019s math development, it can be helpful to understand what they are potentially ready to learn at each stage. Although every child is different, you might be surprised to learn what research has shown children to be capable of doing and understanding at various ages. For example, <a href=\"https:\/\/www.jstor.org\/stable\/1129500?origin=crossref&amp;typeAccessWorkflow=login\">several studies<\/a>suggest that children younger than a year old (and, in one study, <a href=\"https:\/\/www.jstor.org\/stable\/1130057?origin=crossref&amp;typeAccessWorkflow=login\">as young as a few days old<\/a>) can tell when the number of objects pictured changes from two to three or vice versa, indicating they have an innate sense of number. Another <a href=\"https:\/\/ruccs.rutgers.edu\/images\/personal-rochel-gelman\/publications\/Gelman_Meck_1983_Preschoolers_counting_Principles_before_skill.pdf\">series of experiments<\/a> suggests that even when they make mistakes counting, kids from three to five years of age may understand key concepts of counting, including one-to-one correspondence, the need to say the counting numbers in the correct sequence, and that the last number said represents the total counted.<\/p>\n\n\n\n<p>So how do you know what your child might be ready to do without having to dig through all the research? Luckily there are resources that can help. Understood.org has a <a href=\"https:\/\/www.understood.org\/en\/articles\/math-skills-what-to-expect-at-different-ages\">general overview<\/a> of what children may know or understand starting at birth. Sesame Workshop has developed a <a href=\"https:\/\/sesameworkshop.org\/wp-content\/uploads\/2023\/03\/Math_PRINT_ChildMathDevelopment.pdf\">matrix<\/a> that shows what skills children may be learning at different stages in what have been identified as <a href=\"https:\/\/nap.nationalacademies.org\/catalog\/12519\/mathematics-learning-in-early-childhood-paths-toward-excellence-and-equity\">five key areas in early math development<\/a>: number concepts and relations, number operations, geometry and spatial sense, measurement and comparison, and patterns. This matrix gives you a sense of the progression of skills in each area. Knowing this can help you know what concepts to explore next as your child shows understanding of previous concepts. This is important, as home math activities have been shown to be <a href=\"https:\/\/link.springer.com\/article\/10.1007\/s10643-009-0340-1\">most effective<\/a> when you stretch your child\u2019s thinking.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:21px\">Math is everywhere<\/h2>\n\n\n\n<p>Incorporating math into your child\u2019s life is simpler than you may think. You don\u2019t need special materials; the things and places you interact with daily provide all the stimulus needed to engage in rich math conversations and help your child develop early math skills. When my girls were young, I would often highlight when they used math in real life by enthusiastically singing, \u201cThat was math!\u201d You can imagine how much my girls loved this. Thankfully Gigliana Melzi, a professor and researcher at NYU, has identified <a href=\"https:\/\/steinhardt.nyu.edu\/ihdsc\/on-the-ground\/leveraging-math-we-do\">four steps for getting your kids involved in math at home<\/a> that are more effective, and potentially less annoying, than my approach:<\/p>\n\n\n\n<ul>\n<li><strong>Step 1: Uncover the math.<\/strong> When we think about math as adults, we may think of algebra or a complex set of procedures. It\u2019s easy to miss everyday opportunities to explore foundational math concepts. Putting away laundry? That involves sorting objects by attributes. Cooking dinner? There\u2019s lots of measurement going on there. Checking out at the supermarket? Deciding which line to get in can involve both counting and magnitude estimation (is it better to get in a line with five people with only a few items each or three people who each have a larger number of items?).<\/li>\n\n\n\n<li><strong>Step 2:<\/strong> <strong>Involve your child in the math.<\/strong> When we do some of the activities listed above, we may not think to include our children. Bringing them into these activities helps them develop their early math skills and see math as a useful tool in everyday life. Plus, you get help folding the laundry!<\/li>\n\n\n\n<li><strong>Step 3:<\/strong> <strong>Talk about the math. <\/strong>Math talk can take several forms. You can model your own thinking as you walk through a task. For example, when shopping, you can talk through figuring out how many apples to buy if each person in the family wants two apples. You can compare distances between errands or encourage spatial reasoning by talking about where a toy is relative to other toys. You can also ask your children questions to engage their thinking. When doing so, keep in mind that the goal is to activate children\u2019s reasoning through open-ended questions. Questions for younger children can be more concrete. For example, how many plates do we need at the table when grandma and grandpa come for dinner? For older children, you can ask more abstract questions, like how many doors or windows they think there are in their school or how many children they think visit the playground each day. The <a href=\"https:\/\/www.naeyc.org\/\">National Association for the Education of Young Children<\/a> has <a href=\"https:\/\/www.naeyc.org\/sites\/default\/files\/globally-shared\/Images\/resources\/pubs\/rockingandrolling_yc0512.pdf\">resources for engaging in math talk<\/a>. Stanford\u2019s Development and Research in Early Mathematics Education <a href=\"https:\/\/dreme.stanford.edu\/news\/math-snacks-easy-ideas-for-sparking-early-math-conversations-around-everyday-family-routines\/#:~:text=DREME's%20Math%20Snacks%20resource%20offers%20quick%20and%20easy%20suggestions%20for,math%20that's%20all%20around%20them.\">Math Snacks<\/a> are a series of quick prompts you can use to talk about math in everyday situations.<\/li>\n\n\n\n<li><strong>Step 4: Ask \u201cwhy?\u201d<\/strong> We have all had those days where every third word out of our child\u2019s mouth is \u201cwhy?\u201d Here\u2019s your chance to ask \u201cwhy?\u201d back. Doing so helps your child make sense of their thinking and see and correct errors in logic. It also gives you a better view of your child\u2019s understanding.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:21px\">Reading and early math: A perfect partnership<\/h2>\n\n\n\n<p>People often treat math and reading as polar opposites. However, reading is a wonderful way to engage young children in math content.<\/p>\n\n\n\n<p>Reading aloud to your child can expose them to a wider array of <a href=\"https:\/\/www.jstor.org\/stable\/10.5406\/amerjpsyc.130.1.0063?seq=1\">vocabulary<\/a>, help them develop their <a href=\"https:\/\/www.researchgate.net\/publication\/5373247_Reading_aloud_to_children_The_evidence\">oral language skills<\/a>, and support their <a href=\"https:\/\/files.eric.ed.gov\/fulltext\/ED599989.pdf\">math understanding<\/a>. Many picture books and books for young readers have math concepts explicitly built into them. But even books that are not specifically designed to teach early math skills can be used to do so. Illustrations offer great opportunities for counting, comparing amounts and sizes, identifying shapes and patterns, adding and subtracting, and using positional words. <a href=\"https:\/\/www.countplayexplore.org\/video\/california-dad-reading-time\">Count. Play. Explore.<\/a> has short videos that model some ways to do this with very young children. Books may also present mathematical problems that children can wrestle with on their own or with your support. I have a distinct memory of trying to figure out how Laura and Mary Ingalls could possibly share two cookies with their baby sister Carrie in a way that each of them would get the same amount. This was likely before I had formal exposure to fractions in school, so I remember having long discussion and drawing a lot of pictures to try to figure this out.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:21px\">Make math fun<\/h2>\n\n\n\n<p>Beyond supporting understanding of math, helping to foster positive associations with math is a huge benefit of engaging children in the informal activities and conversations described here. Unfortunately, we are all too familiar with the <a href=\"https:\/\/www.ncbi.nlm.nih.gov\/pmc\/articles\/PMC6087017\/\">prevalence of math anxiety<\/a> among both children and adults. Parents and caregivers may inadvertently project their negative feelings about math, which can, in turn, <a href=\"https:\/\/www.sciencedirect.com\/science\/article\/pii\/S0022096521002204\">negatively impact children\u2019s math achievement<\/a>. The good news is these types of low-stakes, engaging activities may <a href=\"https:\/\/stem.utah.gov\/wp-content\/uploads\/2022\/09\/Math-at-home-adds-up-to-achievement-in-school.pdf\">help mitigate those negative impacts<\/a>.<\/p>\n\n\n\n<p>By engaging young children in math activities daily, you are showing them not just that math is a part of our world but also that math is for everyone. There are many simple ways for you to help children build positive associations with math as they naturally explore their world.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" style=\"font-size:21px\">Where to learn more<\/h2>\n\n\n\n<p>Thankfully, there are tons of great resources to help you learn more about how to incorporate early numeracy into everyday activities. Here are just a few:<\/p>\n\n\n\n<ul>\n<li><a href=\"https:\/\/becomingamathfamily.uchicago.edu\/\"><strong>Becoming a Math Family.<\/strong><\/a> This University of Chicago site can also be downloaded as an app. In addition to including activities and videos, it also offers a community aspect where caregivers can share experiences with others and ask experts questions.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.countplayexplore.org\/\"><strong>Count. Play. Explore.<\/strong><\/a> This site is organized by age (0\u20133, 3\u20135, and 6\u20138) and offers a series of short, funny videos showing simple ways to highlight math in a child\u2019s everyday world. There are book and activity recommendations for each age range. All videos and resources are available in both English and Spanish.<\/li>\n\n\n\n<li><a href=\"https:\/\/familymath.stanford.edu\/\"><strong>DREME Family Math.<\/strong><\/a> Stanford\u2019s Development and Research in Early Mathematics Education website has examples of how you can incorporate math activities into daily routines, cooking, games, and reading. The <a href=\"https:\/\/familymath.stanford.edu\/activities\/reading-together\/\">\u201cReading Together\u201d section<\/a> has a list of over 60 math-related picture books that is filterable by age level and mathematical topic. Many materials are available in both English and Spanish.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.mathicalbooks.org\/books\/\"><strong>Mathical Books.<\/strong><\/a> This site hosts a list of math-related books chosen by a national panel of educators, librarians, and mathematicians. The books are filterable by age group.<\/li>\n\n\n\n<li><a href=\"https:\/\/www.naeyc.org\/our-work\/families\/math\"><strong>NAEYC \u201cArticles for Families on Math.\u201d<\/strong><\/a> The \u201cArticles for Families on Math\u201d section of the website of the National Association for the Education of Young Children (NAEYC) has short articles about how young children engage with and learn math as well as tips for how you can help them see and talk about math.<\/li>\n\n\n\n<li><strong><a href=\"https:\/\/talkingisteaching.org\/parent-resource\/highlights-math-guide\/\">Talking Is Teaching.<\/a><\/strong> This site was developed by <em>Highlights<\/em> magazine to help parents and other caregivers talk about math with their children. It contains a brief video and activity ideas for incorporating a math topic (counting, comparing numbers, sorting shapes, finding patterns, and adding) into your daily routine. Each topic also has a <em>Highlights<\/em>-style illustration with prompts that you can explore with your child.<\/li>\n\n\n\n<li><a href=\"https:\/\/youngmathematicians.edc.org\/?s=\"><strong>Young Mathematicians.<\/strong><\/a> This site contains games, articles, printable mini-books, videos, and other resources with content in Arabic, English, Portuguese, and Spanish. You can filter by type of resource, math topic, level, and language.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>One of my daughter Kat\u2019s favorite activities as a toddler was lining up a set of plastic bears that she would \u201cborrow\u201d from her older sister\u2019s toys. [&hellip;]<\/p>\n","protected":false},"author":104,"featured_media":20513,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"_yoast_wpseo_metadesc":"There are many resources available to help parents and caregivers support young children in developing early math skills at home.","footnotes":""},"categories":[649],"tags":[627,635],"grade_level":[830,833],"product":[],"theme":[],"coauthors":[{"id":104,"name":"Mary Resanovich, NWEA","link":"https:\/\/www.nwea.org\/blog\/author\/mary-resanovich\/","avatar_urls":{"24":"https:\/\/www.nwea.org\/blog\/wp\/wp-includes\/images\/blank.gif","48":"https:\/\/www.nwea.org\/blog\/wp\/wp-includes\/images\/blank.gif","96":"https:\/\/www.nwea.org\/blog\/wp\/wp-includes\/images\/blank.gif"}}],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.14 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Building strong foundations for early math skills at home - Teach. 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