{"id":95,"date":"2015-05-23T17:20:17","date_gmt":"2015-05-23T17:20:17","guid":{"rendered":"http:\/\/susan.ucdsehd.net\/?page_id=95"},"modified":"2017-03-16T20:50:24","modified_gmt":"2017-03-16T20:50:24","slug":"math","status":"publish","type":"page","link":"https:\/\/sehd.ucdenver.edu\/ecallms\/courses\/math\/","title":{"rendered":"MATHEMATICS"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-338\" src=\"http:\/\/sehd.ucdenver.edu\/ecallms\/files\/2015\/05\/math_banner.jpg\" alt=\"Hand prints\" width=\"1400\" height=\"400\" srcset=\"https:\/\/sehd.ucdenver.edu\/ecallms\/files\/2015\/05\/math_banner.jpg 1400w, https:\/\/sehd.ucdenver.edu\/ecallms\/files\/2015\/05\/math_banner-300x86.jpg 300w, https:\/\/sehd.ucdenver.edu\/ecallms\/files\/2015\/05\/math_banner-768x219.jpg 768w, https:\/\/sehd.ucdenver.edu\/ecallms\/files\/2015\/05\/math_banner-1024x293.jpg 1024w\" sizes=\"auto, (max-width: 1400px) 100vw, 1400px\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><span lang=\"EN-US\" style=\"margin: 0px; color: #333333; font-family: 'Georgia',serif;\">The eCALLMS math eWorkshops focus on teaching strategies for elementary and middle school math. eWorkshops include information on teaching specific mathematic content like ratio and proportions, numbers and operations, and fractions to grade level specific bands of multilingual students. They also explore mapping skills, mathematical discourse and complex computational thinking.<\/span><\/p>\n<p><!--\n\n<section id=\"colorblocktwo\">\n\n\n<h3><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/21st-century-stem-learning-language-and-culture\/\">21st Century STEM Learning, Language and Culture <span style=\"color: #ff6600;\">(Grades K-12)<\/span><\/a><\/h3>\n\n\n<strong><span style=\"color: #ff6600;\">Essential Question:<\/span><\/strong> How can language and culture be used to anchor 21st century STEM learning?\n\n<span style=\"color: #ff6600;\"><strong>Guiding Questions:<\/strong><\/span>\n\n<span style=\"color: #ff6600;\"><strong>Unit 1: <\/strong><\/span>How do the Next Generation Science Standards cultivate learning, language development and cultural competency?\n\n<span style=\"color: #ff6600;\"><strong>Unit 2:<\/strong> <\/span>Which cross-cutting concepts in science have parallel language conventions? How can they be used to leverage learning?\n\n<span style=\"color: #ff6600;\"><strong>Unit 3: <\/strong><\/span>How can strategies for technical communication be used to promote science learning practices?\n\n<span style=\"color: #ff6600;\"><strong>Unit 4:<\/strong> <\/span>How do the core idea criteria statements support interdisciplinary literacy for students?\n\n<span style=\"color: #ff6600;\"><strong>Unit 5:<\/strong> <\/span>How can technology be used to enhance language and content literacy for multicultural students?\n\n<span style=\"color: #ff6600;\"><strong>Unit 6:<\/strong> <\/span>Answer the Essential Question\n\n\n<h6><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/21st-century-stem-learning-language-and-culture\/\">Download a flyer for this eWorkshop<\/a><\/h6>\n\n\n<\/section>\n\n--><br \/>\n<!--\n\n<section id=\"colorblocktwo\">\n\n\n<h3><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/mathematics-complex-computational-thinking\/\">Mathematics: Complex (Computational) Thinking<span style=\"color: #ff6600;\"> (Grades 6-12)<\/span><\/a><\/h3>\n\n\n<span style=\"color: #ff6600;\"><strong>Essential Question:<\/strong> <\/span>\u00a0How can I support multilingual students in learning the mathematical language and concepts of computational thinking? (Grades 5-8)\n\n<span style=\"color: #ff6600;\"><strong>Guiding Questions:<\/strong><\/span>\n\n<span style=\"color: #ff6600;\"><strong>Unit 1:<\/strong><\/span> What standards do I need to know in order to be an effective teacher of multilingual learners?\n\n<span style=\"color: #ff6600;\"><strong>Unit 2:<\/strong><\/span> How can I build an environment for recognizing patterns?\n\n<span style=\"color: #ff6600;\"><strong>Unit 3:<\/strong> <\/span>What concepts in planar geometry build confidence in dealing with complex mathematical ideas?\n\n<span style=\"color: #ff6600;\"><strong>Unit 4:<\/strong> <\/span>What strategies of computational thinking can I use to assess what my multilingual students know about Algebraic reasoning?\n\n<span style=\"color: #ff6600;\"><strong>Unit 5:<\/strong> <\/span>How can digital tools be used to build computational thinking and cultural awareness in a multicultural classroom?\n\n<span style=\"color: #ff6600;\"><strong>Unit 6:<\/strong><\/span> Answer the Essential Question\n\n\n<h6><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/mathematics-complex-computational-thinking\/\">Download a flyer for this eWorkshop<\/a><\/h6>\n\n\n<\/section>\n\n--><br \/>\n<!--\n\n<section id=\"colorblocktwo\">\n\n\n<h3><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/mathematical-discourse-using-technology-tools-to-encourage-reflections-oncomplex-thinking\/\">Mathematical Discourse: Using Technology Tools to Encourage Reflections on Complex Thinking <span style=\"color: #ff6600;\">(Grades 6-12)<\/span><\/a><\/h3>\n\n\n<span style=\"color: #ff6600;\"><strong>Essential Question:<\/strong> <\/span>How do students vocalize what they have learned about Computational Thinking?\n\n<span style=\"color: #ff6600;\"><strong>Guiding Questions:<\/strong><\/span>\n\n<span style=\"color: #ff6600;\"><strong>Unit 1:<\/strong><\/span> \u00a0How does computational thinking promote equitable practice in the STEM classroom?\n\n<span style=\"color: #ff6600;\"><strong>Unit 2:<\/strong><\/span> What are the attributes of mathematics discourse that distinguish it from other types of discourse and support improved communication in the classroom?\n\n<span style=\"color: #ff6600;\"><strong>Unit 3:<\/strong> <\/span>How can I use conversation and dialogue to promote reflection in the classroom?\n\n<span style=\"color: #ff6600;\"><strong>Unit 4:<\/strong> <\/span>\u00a0What role does student choice of learning activity play in promoting full participation?\n\n<span style=\"color: #ff6600;\"><strong>Unit 5:<\/strong><\/span> \u00a0How can technology be used to promote creativity and invite sharing about thinking\n\n<span style=\"color: #ff6600;\"><strong>Unit 6:<\/strong><\/span> Answer the Essential Question\n\n\n<h6><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/mathematical-discourse-using-technology-tools-to-encourage-reflections-oncomplex-thinking\/\">Download a flyer for this eWorkshop<\/a><\/h6>\n\n\n<\/section>\n\n--><\/p>\n<section id=\"colorblocktwo\">\n<h3><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/math-geometric-measurement\/\">Math Geometric Measurement <span style=\"color: #ff6600;\">(Grades 2-3)<\/span><\/a><\/h3>\n<p><span style=\"color: #ff6600;\"><strong>Essential Question:<\/strong><\/span> How can I support multilingual students in learning the mathematical language and concepts of geometric measurement?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Guiding Questions:<\/strong><\/span><\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 1:<\/strong> <\/span>What do I need to know about geometric measurement as described in the Common Core State Standards to be an effective teacher of multilingual students? What do my students know about geometric measurement?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 2:<\/strong><\/span> What do my multilingual students already know about the everyday use of geometric measurement?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 3:<\/strong> <\/span>What is the language of geometric measurement that 3rd\u00a0multilingual students need to know?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 4:<\/strong> <\/span>What strategies can I use to assess what my multilingual students know about geometric measurement<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 5:<\/strong><\/span> What do I need to do to improve my practice of teaching geometric measurement to multilingual learners<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 6:<\/strong> <\/span>Answer the Essential Question<\/p>\n<h6><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/math-geometric-measurement\/\">Download a flyer for this eWorkshop<\/a><\/h6>\n<\/section>\n<section id=\"colorblocktwo\">\n<h3><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/math-fractions\/\">Math Fractions <span style=\"color: #ff6600;\">(Grades 3-5)<\/span><\/a><\/h3>\n<p><span style=\"color: #ff6600;\"><strong>Essential Question:<\/strong> <\/span>\u00a0\u00a0What is the language of fractions and how can all students have access to it?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Guiding Questions:<\/strong><\/span><\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 1:<\/strong> <\/span>What does mathematics teaching look like in a linguistically and culturally responsive classroom?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 2:<\/strong><\/span> What should teachers know to effectively teach fractions to multilingual learners?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 3:<\/strong>\u00a0How can I make the teaching of comparing and contrasting fractions linguistically responsive?<\/span><\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 4: <\/strong><\/span>\u00a0How can I help multilingual students understand the concepts of adding and subtracting fractions?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 5:<\/strong><\/span> \u00a0How can I teach multiplication and division of fractions effectively in a linguistically diverse classroom?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 6:<\/strong><\/span> Answer the Essential Question<\/p>\n<h6><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/math-fractions\/\">Download a flyer for this eWorkshop<\/a><\/h6>\n<\/section>\n<section id=\"colorblocktwo\">\n<h3><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/math-functions\/\">Math Functions (Grade 8)<\/a><\/h3>\n<p><span style=\"color: #ff6600;\"><strong>Essential Question:<\/strong><\/span> How can I support multilingual students in learning the mathematical language and concepts of functions?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Guiding Questions:<\/strong><\/span><\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 1:<\/strong> <\/span>What do I need to know about functions as described in the Common Core State Standards to be an effective teacher of multilingual students?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 2:<\/strong><\/span> What do multilingual students already know about the everyday use of functions?<\/p>\n<p><strong><span style=\"color: #ff6600;\">Unit 3:<\/span><\/strong> What is the language of functions that multilingual students need to know?<\/p>\n<p><strong><span style=\"color: #ff6600;\">Unit 4:<\/span><\/strong> What strategies can I use to assess what my multilingual students know about functions and the language of functions?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 5:<\/strong><\/span> What do I need to do to improve my practice of teaching functions to multilingual learners?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 6:<\/strong> <\/span>Answer the Essential Question<\/p>\n<h6><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/math-functions\/\">Download a flyer for this eWorkshop<\/a><\/h6>\n<\/section>\n<section id=\"colorblocktwo\">\n<h3><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/math-numbers-and-operations\/\">Math Numbers and Operations <span style=\"color: #ff6600;\">(Grades K-2)<\/span><\/a><\/h3>\n<p><span style=\"color: #ff6600;\"><strong>Essential Question<\/strong><\/span>: How can mainstream elementary teachers purposefully plan and deliver mathematics instruction that combines rigorous mathematics content with attention to language development and learning strategies?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Guiding Questions:<\/strong><\/span><\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 1:<\/strong> <\/span>What do I need to know about numbers and operations as described in the Common Core State Standards to be an effective teacher of multilingual students?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 2:<\/strong> <\/span>How do I support multilingual learners at different language proficiency levels in learning about numbers, operations and algebraic thinking?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 3:<\/strong> <\/span>What is the language of numbers, operations, and algebraic thinking that multilingual students need to know?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 4:<\/strong><\/span> What strategies can I use to assess what my multilingual students know about numbers, operations, and algebraic thinking?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 5:<\/strong> <\/span>How can I help my multilingual learners make connections outside of the classroom on numbers, operations, and algebraic thinking?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 6:<\/strong><\/span> Answer the Essential Question<\/p>\n<h6><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/math-numbers-and-operations\/\">Download a flyer for this eWorkshop<\/a><\/h6>\n<\/section>\n<section id=\"colorblocktwo\">\n<h3><a href=\"\/\/sehd.ucdenver.edu\/ecallms\/math-ratios-and-proportions\/\">Math Ratios and Proportions <span style=\"color: #ff6600;\">(Grades 6-8<\/span><span style=\"color: #ff6600;\">)<\/span><\/a><\/h3>\n<p><span style=\"color: #ff6600;\"><strong>Essential Question:<\/strong><\/span> How can I support multilingual students in learning the mathematical language and concepts of ratios and proportions?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Guiding Questions:<\/strong><\/span><\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 1:<\/strong><\/span> What do I need to know about ratios and proportional relationships as described in the Common Core State Standards to be an effective teacher of multilingual students?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 2:<\/strong> <\/span>What do multilingual students already know about the everyday use of ratios and the mathematical relationships expressed by ratios?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 3:<\/strong> <\/span>What is the language of ratios and proportions that multilingual students need to know?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 4:<\/strong><\/span> What strategies can I use to assess what my multilingual students know about ratios and proportions?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 5:<\/strong> <\/span>What do I need to do to improve my practice of teaching ratios and proportions to multilingual learners?<\/p>\n<p><span style=\"color: #ff6600;\"><strong>Unit 6:<\/strong> <\/span>Answer the Essential Question<\/p>\n<h6><a href=\"\/\/sehd.ucdenver.edu\/ecallms\/math-ratios-and-proportions\/\">Download a flyer for this eWorkshop<\/a><\/h6>\n<\/section>\n<p><!--\n\n<section id=\"colorblocktwo\">\n\n\n<h3><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/where-in-the-world-mapping-strategies-across-content-areas\/\">Where in the World? Mapping Strategies Across Content Areas <span style=\"color: #ff6600;\">(Grades 6-10)<\/span><\/a><\/h3>\n\n\n<span style=\"color: #ff6600;\"><strong>Essential Question:<\/strong><\/span> \u00a0How can maps be used as the context to connect students to\/through culture and content?\n\n<span style=\"color: #ff6600;\"><strong>Guiding Questions:<\/strong><\/span>\n\n<span style=\"color: #ff6600;\"><strong>Unit 1:<\/strong> <\/span>What does research say about Place-based education (PBE) in the\u00a0context of diverse learning environments?\n\n<span style=\"color: #ff6600;\"><strong>Unit 2:<\/strong> <\/span>What tools are available on maps to help students answer\u00a0questions?\n\n<span style=\"color: #ff6600;\"><strong>Unit 3:<\/strong><\/span> How can maps be used to build understanding of the universal\u00a0concept of community\/-ies?\n\n<span style=\"color: #ff6600;\"><strong>Unit 4:<\/strong> <\/span>How can stories (cultural, mathematical, social, economic) be told\u00a0using maps?\n\n<span style=\"color: #ff6600;\"><strong>Unit 5:<\/strong> <\/span>What story can I tell about myself, my community or my\u00a0environment using a map?\n\n<strong><span style=\"color: #ff6600;\">Unit 6:<\/span> <\/strong>Answer the Essential Question\n\n\n<h6><a href=\"http:\/\/sehd.ucdenver.edu\/ecallms\/where-in-the-world-mapping-strategies-across-content-areas\/\">Download a flyer for this eWorkshop<\/a><\/h6>\n\n\n<\/section>\n\n\n\n<section id=\"colorblockfour\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright size-full wp-image-410\" src=\"http:\/\/sehd.ucdenver.edu\/ecallms\/files\/2015\/05\/math_kids.jpg\" alt=\"Kids doing math\" width=\"1400\" height=\"400\" srcset=\"https:\/\/sehd.ucdenver.edu\/ecallms\/files\/2015\/05\/math_kids.jpg 1400w, https:\/\/sehd.ucdenver.edu\/ecallms\/files\/2015\/05\/math_kids-300x86.jpg 300w, https:\/\/sehd.ucdenver.edu\/ecallms\/files\/2015\/05\/math_kids-768x219.jpg 768w, https:\/\/sehd.ucdenver.edu\/ecallms\/files\/2015\/05\/math_kids-1024x293.jpg 1024w\" sizes=\"auto, (max-width: 1400px) 100vw, 1400px\" \/>\u00a0<\/section>\n\n--><\/p>\n","protected":false},"excerpt":{"rendered":"<p>&nbsp; &nbsp; The eCALLMS math eWorkshops focus on teaching strategies for elementary and middle school math. eWorkshops include information on teaching specific mathematic content like ratio and proportions, numbers and operations, and fractions to grade level specific bands of multilingual<\/p>\n","protected":false},"author":67,"featured_media":4839,"parent":55,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-templates\/contact.php","meta":{"footnotes":""},"class_list":["post-95","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/sehd.ucdenver.edu\/ecallms\/wp-json\/wp\/v2\/pages\/95","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sehd.ucdenver.edu\/ecallms\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sehd.ucdenver.edu\/ecallms\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sehd.ucdenver.edu\/ecallms\/wp-json\/wp\/v2\/users\/67"}],"replies":[{"embeddable":true,"href":"https:\/\/sehd.ucdenver.edu\/ecallms\/wp-json\/wp\/v2\/comments?post=95"}],"version-history":[{"count":8,"href":"https:\/\/sehd.ucdenver.edu\/ecallms\/wp-json\/wp\/v2\/pages\/95\/revisions"}],"predecessor-version":[{"id":5751,"href":"https:\/\/sehd.ucdenver.edu\/ecallms\/wp-json\/wp\/v2\/pages\/95\/revisions\/5751"}],"up":[{"embeddable":true,"href":"https:\/\/sehd.ucdenver.edu\/ecallms\/wp-json\/wp\/v2\/pages\/55"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sehd.ucdenver.edu\/ecallms\/wp-json\/wp\/v2\/media\/4839"}],"wp:attachment":[{"href":"https:\/\/sehd.ucdenver.edu\/ecallms\/wp-json\/wp\/v2\/media?parent=95"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}