{"id":176,"date":"2023-11-13T16:09:25","date_gmt":"2023-11-13T16:09:25","guid":{"rendered":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/chapter\/mathematics-introduction\/"},"modified":"2025-06-21T23:46:31","modified_gmt":"2025-06-21T23:46:31","slug":"mathematics-introduction","status":"publish","type":"chapter","link":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/chapter\/mathematics-introduction\/","title":{"raw":"7.1: Mathematics Introduction","rendered":"7.1: Mathematics Introduction"},"content":{"raw":"<div class=\":-mathematics-introduction\" style=\"text-align: left\">\r\n<p class=\"lt-socialsci-39462\">Mathematics is a natural part of the preschool environment. Young children actively construct mathematical knowledge through everyday interactions with their environment, whether inside or outside.<\/p>\r\n\r\n<figure>[caption id=\"\" align=\"aligncenter\" width=\"360\"]<img class=\"internal\" src=\"https:\/\/socialsci.libretexts.org\/@api\/deki\/files\/28012\/clipboard_e6d8d5d9d4fc0301df8390c594169c668.png?revision=1\" alt=\"clipboard_e6d8d5d9d4fc0301df8390c594169c668.png\" width=\"360\" height=\"232\" \/> Figure 7.1: When measuring two cups of flour, \u00bd cup of salt, and two tablespoons of oil to help make playdough, children use and build their mathematical knowledge.[1][\/caption]<\/figure>\r\nMathematics learning grows naturally from children\u2019s curiosity and enthusiasm to learn and explore their environment. During preschool years, children continue to show a spontaneous interest in mathematics and further develop their mathematical knowledge and skills related to number, quantity, size, shape, and space. Teachers should encourage children\u2019s natural enthusiasm and interest in doing mathematics and use it as a vehicle for supporting the development of children\u2019s mathematical concepts and skills.\r\n<p class=\"lt-socialsci-39462\">High-quality mathematics education in preschool is not about elementary arithmetic being pushed down onto younger children. It is broader than mere practice in counting and arithmetic. It is about children experiencing mathematics as they explore ideas of more and less, count objects, make comparisons, create patterns, sort and measure objects, and explore shapes in space. Mathematics learning happens throughout the day, and it is integrated with learning and developing in other developmental domains such as language and literacy, social-emotional, science, music, and movement. There is a general consensus that high-quality, challenging, and accessible mathematics education for three- to six-year-old children is a vital foundation for future mathematics learning.<\/p>\r\n<p class=\"lt-socialsci-39462\">Teachers have a significant role in facilitating children\u2019s construction of mathematical concepts. When teachers join children in becoming keen observers of their environment and in reasoning about numbers, shapes, and patterns, mathematics is enjoyable and exciting for all.<\/p>\r\n\r\n<figure>[caption id=\"\" align=\"aligncenter\" width=\"331\"]<img class=\"internal\" src=\"https:\/\/socialsci.libretexts.org\/@api\/deki\/files\/28013\/clipboard_e5cd4950411f339016b23a2bcd86dc557.png?revision=1\" alt=\"clipboard_e5cd4950411f339016b23a2bcd86dc557.png\" width=\"331\" height=\"236\" \/> Figure 7.2: Songs and games are fun ways to support math.[2][\/caption]<\/figure>\r\n<p class=\"lt-socialsci-39462\">Teachers may not always realize the extent to which their current everyday classroom practices support children\u2019s mathematical development. For example, when singing with children \u201cFive Little Ducks Went Out One Day,\u201d incorporating finger play with counting, the teacher develops children\u2019s counting skills and understanding of numbers. Discussing with children how many children came to school today and how many are missing supports children\u2019s arithmetic and reasoning with numbers. Playing with children in the sandbox by filling up different cups with sand and discussing which cup is the smallest or the largest or how many cups of sand it would take to fill up a bucket introduces children to concepts of comparison and measurement.[3]<\/p>\r\n<p class=\"lt-socialsci-39462\"><span style=\"font-family: 'Cormorant Garamond', serif;font-size: 1.602em;font-weight: bold\">References<\/span><\/p>\r\n\r\n<div id=\"section_1\" class=\"mt-section\">\r\n<p class=\"lt-socialsci-39462\">[1]\u00a0Image\u00a0by Senior Airman Ryan Sparks is in the public domain<\/p>\r\n<p class=\"lt-socialsci-39462\">[2]\u00a0The California Preschool Curriculum Framework, Volume 1\u00a0by the California Department of Education is used with permission<\/p>\r\n<p class=\"lt-socialsci-39462\">[3]\u00a0The California Preschool Curriculum Framework, Volume 1\u00a0by the California Department of Education is used with permission<\/p>\r\n\r\n<\/div>\r\n<footer class=\"mt-content-footer\">\r\n\r\n<hr class=\"autoattribution-divider\" \/>\r\n\r\n<div class=\"autoattribution\">\r\n\r\nThis page titled\u00a07.1: Mathematics Introduction\u00a0is shared under a\u00a0<a href=\"https:\/\/socialsci.libretexts.org\/Courses\/Arapahoe_Community_College\/Introduction_to_Curriculum_for_Early_Childhood_Education\/07%3A_Mathematics\/7.01%3A_Mathematics_Introduction\" target=\"_blank\" rel=\"nofollow noopener\">not declared\u00a0<\/a>license and was authored, remixed, and\/or curated by Erin Jones, EdS, ECSE, MBA.\r\n\r\n<\/div>\r\n<\/footer><\/div>","rendered":"<div class=\":-mathematics-introduction\" style=\"text-align: left\">\n<p class=\"lt-socialsci-39462\">Mathematics is a natural part of the preschool environment. Young children actively construct mathematical knowledge through everyday interactions with their environment, whether inside or outside.<\/p>\n<figure>\n<figure style=\"width: 360px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"internal\" src=\"https:\/\/socialsci.libretexts.org\/@api\/deki\/files\/28012\/clipboard_e6d8d5d9d4fc0301df8390c594169c668.png?revision=1\" alt=\"clipboard_e6d8d5d9d4fc0301df8390c594169c668.png\" width=\"360\" height=\"232\" \/><figcaption class=\"wp-caption-text\">Figure 7.1: When measuring two cups of flour, \u00bd cup of salt, and two tablespoons of oil to help make playdough, children use and build their mathematical knowledge.[1]<\/figcaption><\/figure>\n<\/figure>\n<p>Mathematics learning grows naturally from children\u2019s curiosity and enthusiasm to learn and explore their environment. During preschool years, children continue to show a spontaneous interest in mathematics and further develop their mathematical knowledge and skills related to number, quantity, size, shape, and space. Teachers should encourage children\u2019s natural enthusiasm and interest in doing mathematics and use it as a vehicle for supporting the development of children\u2019s mathematical concepts and skills.<\/p>\n<p class=\"lt-socialsci-39462\">High-quality mathematics education in preschool is not about elementary arithmetic being pushed down onto younger children. It is broader than mere practice in counting and arithmetic. It is about children experiencing mathematics as they explore ideas of more and less, count objects, make comparisons, create patterns, sort and measure objects, and explore shapes in space. Mathematics learning happens throughout the day, and it is integrated with learning and developing in other developmental domains such as language and literacy, social-emotional, science, music, and movement. There is a general consensus that high-quality, challenging, and accessible mathematics education for three- to six-year-old children is a vital foundation for future mathematics learning.<\/p>\n<p class=\"lt-socialsci-39462\">Teachers have a significant role in facilitating children\u2019s construction of mathematical concepts. When teachers join children in becoming keen observers of their environment and in reasoning about numbers, shapes, and patterns, mathematics is enjoyable and exciting for all.<\/p>\n<figure>\n<figure style=\"width: 331px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"internal\" src=\"https:\/\/socialsci.libretexts.org\/@api\/deki\/files\/28013\/clipboard_e5cd4950411f339016b23a2bcd86dc557.png?revision=1\" alt=\"clipboard_e5cd4950411f339016b23a2bcd86dc557.png\" width=\"331\" height=\"236\" \/><figcaption class=\"wp-caption-text\">Figure 7.2: Songs and games are fun ways to support math.[2]<\/figcaption><\/figure>\n<\/figure>\n<p class=\"lt-socialsci-39462\">Teachers may not always realize the extent to which their current everyday classroom practices support children\u2019s mathematical development. For example, when singing with children \u201cFive Little Ducks Went Out One Day,\u201d incorporating finger play with counting, the teacher develops children\u2019s counting skills and understanding of numbers. Discussing with children how many children came to school today and how many are missing supports children\u2019s arithmetic and reasoning with numbers. Playing with children in the sandbox by filling up different cups with sand and discussing which cup is the smallest or the largest or how many cups of sand it would take to fill up a bucket introduces children to concepts of comparison and measurement.[3]<\/p>\n<p class=\"lt-socialsci-39462\"><span style=\"font-family: 'Cormorant Garamond', serif;font-size: 1.602em;font-weight: bold\">References<\/span><\/p>\n<div id=\"section_1\" class=\"mt-section\">\n<p class=\"lt-socialsci-39462\">[1]\u00a0Image\u00a0by Senior Airman Ryan Sparks is in the public domain<\/p>\n<p class=\"lt-socialsci-39462\">[2]\u00a0The California Preschool Curriculum Framework, Volume 1\u00a0by the California Department of Education is used with permission<\/p>\n<p class=\"lt-socialsci-39462\">[3]\u00a0The California Preschool Curriculum Framework, Volume 1\u00a0by the California Department of Education is used with permission<\/p>\n<\/div>\n<footer class=\"mt-content-footer\">\n<hr class=\"autoattribution-divider\" \/>\n<div class=\"autoattribution\">\n<p>This page titled\u00a07.1: Mathematics Introduction\u00a0is shared under a\u00a0<a href=\"https:\/\/socialsci.libretexts.org\/Courses\/Arapahoe_Community_College\/Introduction_to_Curriculum_for_Early_Childhood_Education\/07%3A_Mathematics\/7.01%3A_Mathematics_Introduction\" target=\"_blank\" rel=\"nofollow noopener\">not declared\u00a0<\/a>license and was authored, remixed, and\/or curated by Erin Jones, EdS, ECSE, MBA.<\/p>\n<\/div>\n<\/footer>\n<\/div>\n","protected":false},"author":154,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[48],"contributor":[],"license":[],"class_list":["post-176","chapter","type-chapter","status-publish","hentry","chapter-type-numberless"],"part":340,"_links":{"self":[{"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/pressbooks\/v2\/chapters\/176","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/wp\/v2\/users\/154"}],"replies":[{"embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/wp\/v2\/comments?post=176"}],"version-history":[{"count":6,"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/pressbooks\/v2\/chapters\/176\/revisions"}],"predecessor-version":[{"id":1486,"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/pressbooks\/v2\/chapters\/176\/revisions\/1486"}],"part":[{"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/pressbooks\/v2\/parts\/340"}],"metadata":[{"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/pressbooks\/v2\/chapters\/176\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/wp\/v2\/media?parent=176"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/pressbooks\/v2\/chapter-type?post=176"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/wp\/v2\/contributor?post=176"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/wp\/v2\/license?post=176"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}