{"id":194,"date":"2023-11-13T16:09:28","date_gmt":"2023-11-13T16:09:28","guid":{"rendered":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/chapter\/7-6-guiding-principles-for-supporting-math\/"},"modified":"2025-06-22T19:23:22","modified_gmt":"2025-06-22T19:23:22","slug":"7-6-guiding-principles-for-supporting-math","status":"publish","type":"chapter","link":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/chapter\/7-6-guiding-principles-for-supporting-math\/","title":{"raw":"7.5: Guiding Principles for Supporting Math","rendered":"7.5: Guiding Principles for Supporting Math"},"content":{"raw":"<div class=\"7.6:-guiding-principles-for-supporting-math\" style=\"text-align: center\">\r\n<p class=\"lt-socialsci-39463\">The following principles will guide teachers\u2019 classroom practices in establishing a high-quality, challenging, and sensitive early mathematics preschool program. These principles are partially based on the ten recommendations in\u00a0<i>Early Childhood Mathematics:<\/i><i>\u00a0<\/i><i>Promoting Good Beginnings,<\/i>\u00a0set forth by the National Association for the Education of Young Children and NCTM in 2002.<\/p>\r\n\r\n<ol>\r\n \t<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Build on preschool children\u2019s natural interest in mathematics and their intuitive and informal mathematical knowledge<\/li>\r\n \t<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Encourage inquiry and exploration to foster problem solving and mathematical reasoning<\/li>\r\n \t<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Use everyday activities as natural vehicles for developing preschool children\u2019s mathematical knowledge<\/li>\r\n \t<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Introduce mathematical concepts through intentionally planned experiences (in addition to what they spontaneously engage in)<\/li>\r\n \t<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Provide a mathematically rich environment<\/li>\r\n \t<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Provide an environment rich in language, and introduce preschool children to the language of mathematics<\/li>\r\n \t<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Support English learners in developing mathematical knowledge as they concurrently acquire English<\/li>\r\n \t<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Observe children to discover opportunities to clarify, extend, and reinforce their existing mathematical concepts and to help them discover new mathematical concepts<\/li>\r\n \t<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Provide an environment in which all children can learn mathematics, set appropriately high expectations for all children, and support individual growth<\/li>\r\n \t<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Establish a partnership with parents and other caregivers in supporting children\u2019s learning of mathematics[1]<\/li>\r\n<\/ol>\r\n<figure>[caption id=\"\" align=\"aligncenter\" width=\"292\"]<img class=\"internal\" src=\"https:\/\/socialsci.libretexts.org\/@api\/deki\/files\/28019\/clipboard_ed6c16c54de5929fef5fcea6d71522cd7.png?revision=1\" alt=\"clipboard_ed6c16c54de5929fef5fcea6d71522cd7.png\" width=\"292\" height=\"219\" \/> Figure 7.15: This pillow face made with shapes is math in action.[2][\/caption]<\/figure>\r\n\r\n<hr align=\"left\" size=\"1\" width=\"33%\" \/>\r\n<p class=\"lt-socialsci-39463\" style=\"text-align: left\">[1]\u00a0The California Preschool Curriculum Framework, Volume 1\u00a0by the California Department of Education is used with permission<\/p>\r\n<p class=\"lt-socialsci-39463\" style=\"text-align: left\">[2]\u00a0Image\u00a0by\u00a0Lisa Stevens\u00a0is licensed by\u00a0CC-BY-2.0<\/p>\r\n\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\u00a07.6: Guiding Principles for Supporting Math\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\/7.06%3A_Guiding_Principles_for_Supporting_Math\" 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=\"7.6:-guiding-principles-for-supporting-math\" style=\"text-align: center\">\n<p class=\"lt-socialsci-39463\">The following principles will guide teachers\u2019 classroom practices in establishing a high-quality, challenging, and sensitive early mathematics preschool program. These principles are partially based on the ten recommendations in\u00a0<i>Early Childhood Mathematics:<\/i><i>\u00a0<\/i><i>Promoting Good Beginnings,<\/i>\u00a0set forth by the National Association for the Education of Young Children and NCTM in 2002.<\/p>\n<ol>\n<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Build on preschool children\u2019s natural interest in mathematics and their intuitive and informal mathematical knowledge<\/li>\n<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Encourage inquiry and exploration to foster problem solving and mathematical reasoning<\/li>\n<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Use everyday activities as natural vehicles for developing preschool children\u2019s mathematical knowledge<\/li>\n<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Introduce mathematical concepts through intentionally planned experiences (in addition to what they spontaneously engage in)<\/li>\n<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Provide a mathematically rich environment<\/li>\n<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Provide an environment rich in language, and introduce preschool children to the language of mathematics<\/li>\n<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Support English learners in developing mathematical knowledge as they concurrently acquire English<\/li>\n<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Observe children to discover opportunities to clarify, extend, and reinforce their existing mathematical concepts and to help them discover new mathematical concepts<\/li>\n<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Provide an environment in which all children can learn mathematics, set appropriately high expectations for all children, and support individual growth<\/li>\n<li class=\"lt-socialsci-39463\" style=\"text-align: left\">Establish a partnership with parents and other caregivers in supporting children\u2019s learning of mathematics[1]<\/li>\n<\/ol>\n<figure>\n<figure style=\"width: 292px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"internal\" src=\"https:\/\/socialsci.libretexts.org\/@api\/deki\/files\/28019\/clipboard_ed6c16c54de5929fef5fcea6d71522cd7.png?revision=1\" alt=\"clipboard_ed6c16c54de5929fef5fcea6d71522cd7.png\" width=\"292\" height=\"219\" \/><figcaption class=\"wp-caption-text\">Figure 7.15: This pillow face made with shapes is math in action.[2]<\/figcaption><\/figure>\n<\/figure>\n<hr style=\"text-align: left; size: 1px; width: 33%;\" \/>\n<p class=\"lt-socialsci-39463\" style=\"text-align: left\">[1]\u00a0The California Preschool Curriculum Framework, Volume 1\u00a0by the California Department of Education is used with permission<\/p>\n<p class=\"lt-socialsci-39463\" style=\"text-align: left\">[2]\u00a0Image\u00a0by\u00a0Lisa Stevens\u00a0is licensed by\u00a0CC-BY-2.0<\/p>\n<footer class=\"mt-content-footer\">\n<hr class=\"autoattribution-divider\" \/>\n<div class=\"autoattribution\">\n<p>This page titled\u00a07.6: Guiding Principles for Supporting Math\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\/7.06%3A_Guiding_Principles_for_Supporting_Math\" 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":5,"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-194","chapter","type-chapter","status-publish","hentry","chapter-type-numberless"],"part":340,"_links":{"self":[{"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/pressbooks\/v2\/chapters\/194","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=194"}],"version-history":[{"count":9,"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/pressbooks\/v2\/chapters\/194\/revisions"}],"predecessor-version":[{"id":1518,"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/pressbooks\/v2\/chapters\/194\/revisions\/1518"}],"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\/194\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/wp\/v2\/media?parent=194"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/pressbooks\/v2\/chapter-type?post=194"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/wp\/v2\/contributor?post=194"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.ccconline.org\/accintroductiontoece\/wp-json\/wp\/v2\/license?post=194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}