PPT-Pathways to Calculus

2000 Mathematics Curriculum Frameworks 2011 Mathematics Curriculum Frameworks Overview The development of the frameworks was led by a 7person team from the Department of Elementary and Secondary Education DESE . A Service Learning Experience. Melinda Rudibaugh. Mathematics Faculty,. Chandler-Gilbert Community College. What is Service Learning?. Not volunteerism. Tied to the curriculum. Requires meaningful reflection and self-growth. How . do you know . how fast. You are going? . “well . how do you know. How fast you’re going. Right now,. At this very second?” . Push your friend so . that his/her . speed . changes. Try . AC 2311 C ** Calculus I ( 4 ) AC 2312 ** Calculus II ( 4 ) AC 2313 ** ( 4 ) HY 2048 C ** Physics for Engineers I ( 4 ) HY 2049 C ** Physics for Engineers II ( 4 ) AP 2302 ** Differential 8. Newton & Leibniz. History & Philosophy of Calculus, Session . 8. The invention of the calculus. Newton and Leibniz in 17. th. Century invented the algorithmic procedures underlying the calculus. Newton & Leibniz. Summary. Calculus seems to demand some concept of the infinitesimal. Magnitude. New number. Or both?. But infinitesimals lack . clarity . Concepts that are not mathematical being used to interpret mathematics?.  . What is . λ-calculus ?. . “Lambda . calculus.  . is . a formal . system.  in . mathematical logic.  and computer science for expressing computation based on function abstraction and application using variable . The Return of the Infinitesimal?. So far on this course we’ve stayed close to mainstream mathematics.. In this final session we look at some more “fancy” material, much of it very recent.. These aren’t just techniques for doing complicated calculations – they represent new ways to think about geometry and continuity, and so they promise to raise some old philosophical questions. . How . do you know . how fast. You are going? . “well . how do you know. How fast you’re going. Right now,. At this very second?” . Push your friend so . that his/her . speed . changes. Try . The mathematics of continuous change. Instead of looking at average or overall results, calculus looks at how things change from second to second.. Calculus. The mathematics of continuous change. Instead of looking at average or overall results, calculus looks at how things change from second to second.. Books ordered. Stewart. . Calculus: Early . Transcendentals. 7e. Ocean. Ngl.cengage.com. Stewart. . Calculus: Early . Transcendentals. 7e. Middlesex. Ngl.cengage.com. Larson:. Calculus of a Single Variable: Early . Dr. Gretchen Schmidt. Executive Director, Pathways Project. October . 27, 2016. How did we get here?. Achieving the Dream. Over a . decade of institutional reform. Developmental Education Initiative. Frank Savina and Rebecca Hartzler . Michigan Math Summit June 28, 2017. 2. T. he . T. raditional Pathway to Calculus. If you needed math in college, you needed Calculus . 3. Additional student support. Get Started with Using Pathways A Beginner’s Guide on using Pathways and where to get help! Ray Rivero DTM 30 March 2019 2 Workshop Objectives Introduction to Pathways How to Access Pathways Only. Purpose:. Preparation for Calculus. 2. STEM. What is the “. right” math course?. 3. Virtually no students who pass college algebra ever start Calculus III, which is a key course for STEM majors. .