Preface. Mathematical Voyage. A Strategic Pedagogy for Present/Future Mathematics Teaching Styles
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1 Preface Mathematical Voyage A Strategic Pedagogy for Present/Future Mathematics Teaching Styles Journey to a Mathematical Voyage Program Portal for Exploration Beyond Authentic Science, Technology, and Engineering Applications
2 Team Effort It took the coordinated efforts from a number of individuals at many organizations and we are very grateful to all for their outstanding cooperation as we completed Mathematical Voyage. Principal Investigators John S. Pazdar Adjunct Professor Asnuntuck Community College Professor Emeritus Capital Community College Professor Patricia L. Hirschy Professor Dennis C. Ebersole Asnuntuck Community College Northampton Community College 170 Elm St 3835 Green Pond Rd Enfield, CT Bethlehem, PA Evaluation Consultant Dr. Teresa E. Foley Professor of Mathematics Asnuntuck Community College Enfield, CT National Science Foundation Partial support for this work was provided by the National Science Foundation s Transforming Undergraduate Education In Science, Technology, Engineering and Mathematics Program through grant DUE
3 The Dimensions Program (Mathematical Designers and Testers) Designers Prof. Kate Kozak Coconino Community College Flagstaff, Arizona Prof. Chris Oehrlein Oklahoma City Community College Oklahoma City, Oklahoma Prof. Ellena Reda (Ret.) Dutchess Community College Poukeepsie, New York Prof. Jeanne Bowman University of Cincinnati Cincinnati, Ohio Prof. Peg Greene (Ret.) Florida State College Jacksonville Jacksonville, Florida Prof. Karen Gaines St. Louis Community College Meramec Kirkwood, Missouri Testers Prof. Mary Beth Orrange Erie Community College Buffalo, New York Prof. Carol Tracy Highland Community College Wamego, Kansas Prof. Annette Benbow Tarrant Community College Northwest Ft. Worth, Texas Prof. Ebrahim Ahmadizadeh Northampton Community College Bethlehem, Pennsylvania Prof. John Pazdar (Adj.) Asnuntuck Community College Enfield, Connecticut Prof. Shanna Goff Grand Rapids Community College Grand Rapids, Michigan
4 Asnuntuck Community College Enfield, Connecticut Dr. Martha McLeod, President Dr. Barbara McCarthy, Academic Dean Dr. Patricia Hirschy, Department Chairperson Mr. Timothy Hurlock, Administrative Dean and College Business Office Members Mr. Ben Durant, Media Specialist/Webmaster Northampton Community College Bethlehem, Pennsylvania Dr. Arthur Scott, President Prof. Jeffrey Focht, Interim Vice President, Academic Affairs Prof. François-Seeney, Interim Dean Business and Technology
5 Contents Chapter I Mathematical Voyage (Strategic Pedagogy) Part 1 Mathematical Voyage Introduction Part 2 Science, Technology, or Engineering Story Part 3 4-Page 7-Minute Presentation Model Part 4 Mathematical Voyage Example (The Dimensions Program) Chapter II Section A Mathematical Voyage Example (The Dimensions Program) The Dimensions Program Part 1 Introduction Part 2 Improve Teaching and Learning Part 3 Improve Student Responsibilities Part 4 Strategic Options Part 5 Pedagogical Commentary Section B Abstracts and Projects Part 1 Abstracts Part 2 Projects
6 Optical Interferometer Project Laboratories A D (Telescope; Site; Interferometer; Light-Years) Solar Technology Project Laboratories A D (Cells; Panels; Heat; Power) Wind Power Project Laboratories A E (Wind Turbine; Nacelle; Power; Free Standing: Guyed) Laboratories A E Question Reservoirs NASCAR Project Laboratories A E (Car Technology; RFID Chip; Raceways; X Miles; Flags) Laboratories A E Question Reservoirs Computer Chip Project Laboratories A D (Transistor Generations; off Again, On Again; Pixels; Think Small, Think Big) Engineering Marvels Project Laboratories A D (Washington Monument; Hoover Dam; Golden Gate Bridge; Gateway Arch) Chapter III Section A Final Comments Geometry Formulas Part 1 Perimeter and Circumference Part 2 Area Part 3 Volume Part 4 Surface Area Section B Section C Logos Pedagogical License
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