{"id":35531,"date":"2024-03-28T16:51:41","date_gmt":"2024-03-28T23:51:41","guid":{"rendered":"https:\/\/test-inside.ewu.edu\/successfultransitions\/?page_id=35531"},"modified":"2024-03-28T16:51:41","modified_gmt":"2024-03-28T23:51:41","slug":"calculus-b","status":"publish","type":"page","link":"https:\/\/test-inside.ewu.edu\/successfultransitions\/mathematics-inquiries\/calculus-b\/","title":{"rendered":"Transferring Knowledge from Pre-Calculus to Calculus"},"content":{"rendered":"<div class=\"gb-container gb-container-49bf7e2e\">\n\n<p class=\"has-text-align-center\"><em><strong>Toolkit Overview<\/strong><\/em><\/p>\n\n\n\n<figure class=\"wp-block-image alignright size-medium\"><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"169\" src=\"https:\/\/test-inside.ewu.edu\/successfultransitions\/wp-content\/uploads\/sites\/111\/2024\/02\/5477793008_4437ded2ff_z-edited-300x169.jpg\" alt=\"A person in a lecture room presenting to a group of people\" class=\"wp-image-35458\" srcset=\"https:\/\/test-inside.ewu.edu\/successfultransitions\/wp-content\/uploads\/sites\/111\/2024\/02\/5477793008_4437ded2ff_z-edited-300x169.jpg 300w, https:\/\/test-inside.ewu.edu\/successfultransitions\/wp-content\/uploads\/sites\/111\/2024\/02\/5477793008_4437ded2ff_z-edited.jpg 640w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/figure>\n\n\n\n<p>Our calculus toolkit is designed to focus on the problem of the transference of knowledge from a pre-calculus course to a calculus course. In particular, the toolkit addresses transference of knowledge concerning the concept of functions. The toolkit includes a college readiness test focusing on functions and three classroom activities which look at functions from a numerical, graphical and verbal perspective.<\/p>\n\n\n\n<p>Having a deep understanding of functions from multiple perspectives is critical to success in calculus. The college readiness test will help instructors identify areas of concern regarding knowledge of functions and the three classroom activities will help students deepen their understanding of functions from multiple perspectives. This should help students retain their knowledge as they progress to calculus and equip them to deal more complex function situations.\u00a0 Materials could also be used within a calculus course as a just-in-time intervention.<\/p>\n\n\n\n<div style=\"height:2em\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<iframe loading=\"lazy\" width=\"100%\" height=\"600px\" src=\"https:\/\/www.youtube.com\/embed\/FThrwcE5lHI?si=fDt3NWbB2QE6QgHi\" title=\"YouTube video player\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n\n\n\n<div style=\"height:2em\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-text-align-center\"><em><strong>Resources Used to Inform this Toolkit<\/strong><\/em><\/p>\n\n\n\n<p>The articles \u201cFoundational Reasoning Abilities that Promote Coherence in Students\u2019 Function Understanding\u201d by Oehrtman, Carlson, Thompson and \u201cCoordinating Symbolic and Graphical Meanings of Function Notation\u201d by Coomes and Lee introduced us to alternative ways of understanding and assessing the concept of functions and laid the foundation for the development of our three classroom activities. Additionally, the article \u201cThe Precalculus Concept Assessment:&nbsp; A Tool for Assessing Students\u2019 Reasoning Abilities and Understandings\u201d by Carlson, Oehrtman, and Engelke introduced our cohort to the Calculus Concept Readiness Test and we used these ideas to construct our assessment.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><em><strong>Key Lessons We\u2019ve Learned<\/strong><\/em><\/p>\n\n\n\n<p>The first lesson we learned was through our experience of observing classrooms at both the high school and college level. Often at the college level it is assumed that the problem of transference of knowledge in mathematics is attributed to \u201cpoor preparation\u201d of high school students or \u201clower expectations in the high school than in college\u201d.&nbsp; Throughout our observations we found ample evidence that this was not the case.&nbsp; Students at both levels seemed to struggle with the same concepts and we concluded the issue of lack of transference of knowledge from pre-calculus to calculus had a deeper and more complex cause.<\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong><em>Comprehensive Guide to Utilizing Our Tool in Your Classroom<\/em><\/strong><\/p>\n\n\n\n<p><a href=\"http:\/\/test-inside.ewu.edu\/successfultransitions\/mathematics-inquiries\/calculus-b\/meet-our-cohort\/\">Meet Our Cohort<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/test-inside.ewu.edu\/successfultransitions\/mathematics-inquiries\/calculus-b\/problem-of-practice-and-common-core-state-standards\/\">Problem of Practice and Common Core State Standards<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/test-inside.ewu.edu\/successfultransitions\/mathematics-inquiries\/calculus-b\/references\/\">References Used to Support this Problem of Practice<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/test-inside.ewu.edu\/successfultransitions\/mathematics-inquiries\/calculus-b\/our-intervention\/\">Our Intervention<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/test-inside.ewu.edu\/successfultransitions\/mathematics-inquiries\/calculus-b\/determining-effectiveness\/\">Determining Effectiveness<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/test-inside.ewu.edu\/successfultransitions\/mathematics-inquiries\/calculus-b\/results\/\">Results<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/test-inside.ewu.edu\/successfultransitions\/mathematics-inquiries\/calculus-b\/what-we-learned\/\">What We Learned<\/a><\/p>\n\n\n\n<p><a href=\"http:\/\/test-inside.ewu.edu\/successfultransitions\/mathematics-inquiries\/calculus-b\/our-tools\/\">Our Tools<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/in.ewu.edu\/successfultransitions\/wp-content\/uploads\/sites\/111\/2017\/01\/Final-report-Calculus-B.pdf\">Download Complete Final Report<\/a><\/p>\n\n<\/div>","protected":false},"excerpt":{"rendered":"<p>Toolkit Overview Our calculus toolkit is designed to focus on the problem of the transference of knowledge from a pre-calculus course to a calculus course. In particular, the toolkit addresses transference of knowledge concerning the concept of functions. The toolkit includes a college readiness test focusing on functions and three classroom activities which look at &#8230; <a title=\"Transferring Knowledge from Pre-Calculus to Calculus\" class=\"read-more\" href=\"https:\/\/test-inside.ewu.edu\/successfultransitions\/mathematics-inquiries\/calculus-b\/\" aria-label=\"Read more about Transferring Knowledge from Pre-Calculus to Calculus\">Read more<\/a><\/p>\n","protected":false},"author":3269,"featured_media":0,"parent":35476,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"wpo365_audiences":[],"wpo365_private":false,"footnotes":""},"class_list":["post-35531","page","type-page","status-publish"],"_links":{"self":[{"href":"https:\/\/test-inside.ewu.edu\/successfultransitions\/wp-json\/wp\/v2\/pages\/35531"}],"collection":[{"href":"https:\/\/test-inside.ewu.edu\/successfultransitions\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/test-inside.ewu.edu\/successfultransitions\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/test-inside.ewu.edu\/successfultransitions\/wp-json\/wp\/v2\/users\/3269"}],"replies":[{"embeddable":true,"href":"https:\/\/test-inside.ewu.edu\/successfultransitions\/wp-json\/wp\/v2\/comments?post=35531"}],"version-history":[{"count":3,"href":"https:\/\/test-inside.ewu.edu\/successfultransitions\/wp-json\/wp\/v2\/pages\/35531\/revisions"}],"predecessor-version":[{"id":35534,"href":"https:\/\/test-inside.ewu.edu\/successfultransitions\/wp-json\/wp\/v2\/pages\/35531\/revisions\/35534"}],"up":[{"embeddable":true,"href":"https:\/\/test-inside.ewu.edu\/successfultransitions\/wp-json\/wp\/v2\/pages\/35476"}],"wp:attachment":[{"href":"https:\/\/test-inside.ewu.edu\/successfultransitions\/wp-json\/wp\/v2\/media?parent=35531"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}