{"id":1954,"date":"2021-03-16T11:21:00","date_gmt":"2021-03-16T16:21:00","guid":{"rendered":"https:\/\/denisegoetz.com\/CZMathConsulting\/?page_id=1954"},"modified":"2021-03-19T12:14:29","modified_gmt":"2021-03-19T17:14:29","slug":"mathematicians-notebooks","status":"publish","type":"page","link":"https:\/\/denisegoetz.com\/CZMathConsulting\/mathematicians-notebooks\/","title":{"rendered":"Mathematician&#8217;s Notebooks"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"1954\" class=\"elementor elementor-1954\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6bafbd5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6bafbd5\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8df4b1d\" data-id=\"8df4b1d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-05e807c elementor-widget elementor-widget-heading\" data-id=\"05e807c\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Mathematician's  Notebooks<\/h1>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-e667b36 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"e667b36\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-51030bc\" data-id=\"51030bc\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-852dbc6 elementor-widget elementor-widget-heading\" data-id=\"852dbc6\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Proven Practices<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-25e74f1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"25e74f1\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c377d1d\" data-id=\"c377d1d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-b2f92ea elementor-widget__width-auto elementor-widget elementor-widget-heading\" data-id=\"b2f92ea\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h5 class=\"elementor-heading-title elementor-size-default\">Tried &amp; True Practice -  by Dr. Carrie Zielinski<\/h5>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-443e7a6 elementor-widget__width-auto elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"443e7a6\" data-element_type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dd1bb25 elementor-widget elementor-widget-heading\" data-id=\"dd1bb25\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Mathematician\u2019s Notebooks\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d4a0749 elementor-widget elementor-widget-text-editor\" data-id=\"d4a0749\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Students&#8217; use of Mathematician&#8217;s Notebooks support their learning of mathematics in ways that significantly impact their understanding and levels of achievement. When used effectively and regularly, notebooks capture students&#8217; &#8220;noticings&#8221;, problem-solving strategies, sense-making, generalizations and misconceptions, thereby offering both students and teachers formative data over time.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2f2e684 elementor-widget elementor-widget-text-editor\" data-id=\"2f2e684\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>The main purposes for students using Mathematicians&#8217; Notebooks during lessons are to:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9cc6b0c elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"9cc6b0c\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"#\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-pencil-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Provide students time and white space to mentally process concepts and  ideas, as well as record  noticings and problem-solving strategies<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"#\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-pencil-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Enable students to make their thinking public<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"#\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-pencil-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Assist students in describing their mathematical thinking<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-pencil-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Allow students to critique each other's mathematical representations, strategies, and generalizations<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-pencil-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Offer students and teachers formative data<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-pencil-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Encourage students to reflect upon their own learning, as well as their mathematical growth over time<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-d09778c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"d09778c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-custom\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-7ccfec6\" data-id=\"7ccfec6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-43f121d elementor-widget elementor-widget-image\" data-id=\"43f121d\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/kindergarten-math-notebook-example-1.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"Kindergarten math notebook being shared with class\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTMzMCwidXJsIjoiaHR0cHM6XC9cL2RlbmlzZWdvZXR6LmNvbVwvQ1pNYXRoQ29uc3VsdGluZ1wvd3AtY29udGVudFwvdXBsb2Fkc1wvMjAyMVwvMDJcL2tpbmRlcmdhcnRlbi1tYXRoLW5vdGVib29rLWV4YW1wbGUtMS5qcGcifQ%3D%3D\">\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/elementor\/thumbs\/kindergarten-math-notebook-example-1-p49qn53u0o07x4jcwoh9w6jcy25r5f7nakb1hk7592.jpg\" title=\"Kindergarten math notebook being shared with class\" alt=\"Kindergarten math notebook being shared with class.\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-9a45db4\" data-id=\"9a45db4\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6e31dd6 elementor-widget elementor-widget-image\" data-id=\"6e31dd6\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/kindergarten-math-notebook-example-2.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"Child sharing her math notebook the class\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTMzNCwidXJsIjoiaHR0cHM6XC9cL2RlbmlzZWdvZXR6LmNvbVwvQ1pNYXRoQ29uc3VsdGluZ1wvd3AtY29udGVudFwvdXBsb2Fkc1wvMjAyMVwvMDJcL2tpbmRlcmdhcnRlbi1tYXRoLW5vdGVib29rLWV4YW1wbGUtMi5qcGcifQ%3D%3D\">\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/elementor\/thumbs\/kindergarten-math-notebook-example-2-p49qn53u0o07x4jcwoh9w6jcy25r5f7nakb1hk7592.jpg\" title=\"Child sharing her math notebook the class\" alt=\"Child sharing her math notebook the class\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-97c144c elementor-widget elementor-widget-text-editor\" data-id=\"97c144c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\tKindergarteners Make Their Thinking Public\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-519e235 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"519e235\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-custom\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-5c32153\" data-id=\"5c32153\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-70dcccf elementor-widget elementor-widget-image\" data-id=\"70dcccf\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/third-grade-math-notebook-example-1.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"third graders generalization in their mathematicians notebook\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTMzOCwidXJsIjoiaHR0cHM6XC9cL2RlbmlzZWdvZXR6LmNvbVwvQ1pNYXRoQ29uc3VsdGluZ1wvd3AtY29udGVudFwvdXBsb2Fkc1wvMjAyMVwvMDJcL3RoaXJkLWdyYWRlLW1hdGgtbm90ZWJvb2stZXhhbXBsZS0xLmpwZyJ9\">\n\t\t\t\t\t\t\t<img decoding=\"async\" src=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/elementor\/thumbs\/third-grade-math-notebook-example-1-p49qn53u0o07x4jcwoh9w6jcy25r5f7nakb1hk7592.jpg\" title=\"third graders generalization in their mathematicians notebook\" alt=\"third graders record their generalizations in mathematicians notebook\" loading=\"lazy\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-7f2f52a\" data-id=\"7f2f52a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-3a0d7c6 elementor-widget elementor-widget-image\" data-id=\"3a0d7c6\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/third-grade-math-notebook-example-2.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"third graders mathematical thinking\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTM0MiwidXJsIjoiaHR0cHM6XC9cL2RlbmlzZWdvZXR6LmNvbVwvQ1pNYXRoQ29uc3VsdGluZ1wvd3AtY29udGVudFwvdXBsb2Fkc1wvMjAyMVwvMDJcL3RoaXJkLWdyYWRlLW1hdGgtbm90ZWJvb2stZXhhbXBsZS0yLmpwZyJ9\">\n\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"415\" height=\"271\" src=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/third-grade-math-notebook-example-2.jpg\" class=\"attachment-full size-full wp-image-1342\" alt=\"third grader recording their math generalizations\" srcset=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/third-grade-math-notebook-example-2.jpg 415w, https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/third-grade-math-notebook-example-2-300x196.jpg 300w\" sizes=\"(max-width: 415px) 100vw, 415px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-bc28cff elementor-widget elementor-widget-text-editor\" data-id=\"bc28cff\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\tThird Graders Record Their Generalizations\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-90f7262 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"90f7262\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-custom\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-9e516b6\" data-id=\"9e516b6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1ba32a2 elementor-widget elementor-widget-image\" data-id=\"1ba32a2\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/Screen-Shot-2021-02-23-at-4.20.58-PM.png\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"fifth graders mathematicians notebook\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTM1MiwidXJsIjoiaHR0cHM6XC9cL2RlbmlzZWdvZXR6LmNvbVwvQ1pNYXRoQ29uc3VsdGluZ1wvd3AtY29udGVudFwvdXBsb2Fkc1wvMjAyMVwvMDJcL1NjcmVlbi1TaG90LTIwMjEtMDItMjMtYXQtNC4yMC41OC1QTS5wbmcifQ%3D%3D\">\n\t\t\t\t\t\t\t<img decoding=\"async\" width=\"932\" height=\"1238\" src=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/Screen-Shot-2021-02-23-at-4.20.58-PM.png\" class=\"attachment-full size-full wp-image-1352\" alt=\"fifth graders work in their mathematicians notebook\" srcset=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/Screen-Shot-2021-02-23-at-4.20.58-PM.png 932w, https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/Screen-Shot-2021-02-23-at-4.20.58-PM-226x300.png 226w, https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/Screen-Shot-2021-02-23-at-4.20.58-PM-771x1024.png 771w, https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/Screen-Shot-2021-02-23-at-4.20.58-PM-768x1020.png 768w\" sizes=\"(max-width: 932px) 100vw, 932px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-9344be2\" data-id=\"9344be2\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-8c018e0 elementor-widget elementor-widget-image\" data-id=\"8c018e0\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/fifth-grade-math-notebook-example-2.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"fifth graders mathematicians notebook\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTM3MSwidXJsIjoiaHR0cHM6XC9cL2RlbmlzZWdvZXR6LmNvbVwvQ1pNYXRoQ29uc3VsdGluZ1wvd3AtY29udGVudFwvdXBsb2Fkc1wvMjAyMVwvMDJcL2ZpZnRoLWdyYWRlLW1hdGgtbm90ZWJvb2stZXhhbXBsZS0yLmpwZyJ9\">\n\t\t\t\t\t\t\t<img decoding=\"async\" width=\"500\" height=\"700\" src=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/fifth-grade-math-notebook-example-2.jpg\" class=\"attachment-large size-large wp-image-1371\" alt=\"fifth grader shares misconceptions in mathematician notebook\" srcset=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/fifth-grade-math-notebook-example-2.jpg 500w, https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/fifth-grade-math-notebook-example-2-214x300.jpg 214w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-6888c4e\" data-id=\"6888c4e\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-62bb2b0 elementor-widget elementor-widget-image\" data-id=\"62bb2b0\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/fifth-grade-math-notebook-example-3.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"fifth grader asking for help in mathematicians notebook\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTM3OCwidXJsIjoiaHR0cHM6XC9cL2RlbmlzZWdvZXR6LmNvbVwvQ1pNYXRoQ29uc3VsdGluZ1wvd3AtY29udGVudFwvdXBsb2Fkc1wvMjAyMVwvMDJcL2ZpZnRoLWdyYWRlLW1hdGgtbm90ZWJvb2stZXhhbXBsZS0zLmpwZyJ9\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"500\" height=\"700\" src=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/fifth-grade-math-notebook-example-3.jpg\" class=\"attachment-full size-full wp-image-1378\" alt=\"fifth grader shares their misconceptions and for support\" srcset=\"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/fifth-grade-math-notebook-example-3.jpg 500w, https:\/\/denisegoetz.com\/CZMathConsulting\/wp-content\/uploads\/2021\/02\/fifth-grade-math-notebook-example-3-214x300.jpg 214w\" sizes=\"(max-width: 500px) 100vw, 500px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<div class=\"elementor-element elementor-element-e03e9fd elementor-widget elementor-widget-text-editor\" data-id=\"e03e9fd\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\tFifth Graders Share Their Misconceptions and Ask for Support\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Mathematician&#8217;s Notebooks Proven Practices Tried &amp; True Practice &#8211; by Dr. Carrie Zielinski Mathematician\u2019s Notebooks Students&#8217; use of Mathematician&#8217;s Notebooks support their learning of mathematics in ways that significantly impact their understanding and levels of achievement. When used effectively and regularly, notebooks capture students&#8217; &#8220;noticings&#8221;, problem-solving strategies, sense-making, generalizations and misconceptions, thereby offering both students &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/denisegoetz.com\/CZMathConsulting\/mathematicians-notebooks\/\"> <span class=\"screen-reader-text\">Mathematician&#8217;s Notebooks<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-1954","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-json\/wp\/v2\/pages\/1954","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-json\/wp\/v2\/comments?post=1954"}],"version-history":[{"count":5,"href":"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-json\/wp\/v2\/pages\/1954\/revisions"}],"predecessor-version":[{"id":2534,"href":"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-json\/wp\/v2\/pages\/1954\/revisions\/2534"}],"wp:attachment":[{"href":"https:\/\/denisegoetz.com\/CZMathConsulting\/wp-json\/wp\/v2\/media?parent=1954"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}