Conceptual Connections in Calculus
Author | : Kimberly K. Albertazzi |
Publisher | : |
Total Pages | : 230 |
Release | : 1997 |
Genre | : |
ISBN | : |
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Author | : Kimberly K. Albertazzi |
Publisher | : |
Total Pages | : 230 |
Release | : 1997 |
Genre | : |
ISBN | : |
Author | : Jerry A. Yang |
Publisher | : Xlibris Corporation |
Total Pages | : 100 |
Release | : 2015-10-07 |
Genre | : Education |
ISBN | : 1514408694 |
Conceptual Calculus, initially written as an AP Calculus Grand Review, reorients the focus of calculus away from the formulas toward understanding their underlying meanings and implications. Not only does this book give the whys to the hows, it also makes connections between seemingly disparate ideas and simplifies concepts to where even a seventh grader can understand. As a compendium for crammers, advanced students, and new teachers alike, every important topic is fully explained, with appendices included for a quick pocket review. Grouped into six big ideas, Conceptual Calculus is here to answer all of your AP Calculus conceptual needs.
Author | : Robert Thomas Smith |
Publisher | : McGraw-Hill Companies |
Total Pages | : 0 |
Release | : 2006 |
Genre | : Calculus |
ISBN | : 9780072826234 |
This modern calculus textbook places a strong emphasis on developing students' conceptual understanding and on building connections between key calculus topics and their relevance for the real world. It is written for the average student -- one who is mostly unfamiliar with the subject and who requires significant motivation. It follows a relatively standard order of presentation, with early coverage of transcendentals, and integrates thought-provoking applications, examples and exercises throughout. The text also provides balanced guidance on the appropriate role of technology in problem-solving, including its benefits and its potential pitfalls. Wherever practical, concepts are developed from graphical, numerical, algebraic and verbal perspectives (the "Rule of Four") to give students a complete understanding of calculus.
Author | : Robert T. Smith |
Publisher | : |
Total Pages | : 600 |
Release | : 2006 |
Genre | : Calculus |
ISBN | : 9780071112000 |
Author | : Jennifer T.H. Wathall |
Publisher | : Corwin Press |
Total Pages | : 307 |
Release | : 2016-01-14 |
Genre | : Education |
ISBN | : 150633265X |
Give math students the connections between what they learn and how they do math—and suddenly math makes sense If your secondary-school students are fearful of or frustrated by math, it’s time for a new approach. When you teach concepts rather than rote processes, you show students math’s essential elegance, as well as its practicality—and help them discover their own natural mathematical abilities. This book is a road map to retooling how you teach math in a deep, clear, and meaningful way —through a conceptual lens—helping students achieve higher-order thinking skills. Jennifer Wathall shows you how to plan units, engage students, assess understanding, incorporate technology, and even guides you through an ideal concept-based classroom. Practical tools include: Examples from arithmetic to calculus Inquiry tasks, unit planners, templates, and activities Sample assessments with examples of student work Vignettes from international educators A dedicated companion website with additional resources, including a study guide, templates, exemplars, discussion questions, and other professional development activities. Everyone has the power to understand math. By extending Erickson and Lanning’s work on Concept-Based Curriculum and Instruction specifically to math, this book helps students achieve the deep understanding and skills called for by global standards and be prepared for the 21st century workplace. "Jennifer Wathall’s book is one of the most forward thinking mathematics resources on the market. While highlighting the essential tenets of Concept-Based Curriculum design, her accessible explanations and clear examples show how to move students to deeper conceptual understandings. This book ignites the mathematical mind!" — Lois A. Lanning, Author of Designing Concept-based Curriculum for English-Language Arts, K-12 "Wathall is a master at covering all the bases here; this book is bursting with engaging assessment examples, discussion questions, research, and resources that apply specifically to mathematical topics. Any math teacher or coach would be hard-pressed to read it and not come away with scores of ideas, assessments, and lessons that she could use instantly in the classroom. As an IB Workshop Leader and instructional coach, I want this book handy on a nearby shelf for regular referral – it′s a boon to any educator who wants to bring math to life for students." — Alexis Wiggins, Instructional Coach, IB Workshop Leader and Consultant
Author | : David Bressoud |
Publisher | : Springer |
Total Pages | : 44 |
Release | : 2016-06-14 |
Genre | : Education |
ISBN | : 3319329758 |
This survey focuses on the main trends in the field of calculus education. Despite their variety, the findings reveal a cornerstone issue that is strongly linked to the formalism of calculus concepts and to the difficulties it generates in the learning and teaching process. As a complement to the main text, an extended bibliography with some of the most important references on this topic is included. Since the diversity of the research in the field makes it difficult to produce an exhaustive state-of-the-art summary, the authors discuss recent developments that go beyond this survey and put forward new research questions.
Author | : Asma Harcharras |
Publisher | : Prentice Hall |
Total Pages | : 500 |
Release | : 2007 |
Genre | : Mathematics |
ISBN | : |
With challenging new standards-based middle school mathematics curricula now in place, future teachers need college-level mathematics instruction that better prepares them for their professional careers. Addresses the importance of learning calculus in preparation for the teaching of middle school mathematics, focusing on concepts and applications to illuminate the connections that exist between college-level calculus and the mathematics taught in today's middle schools. Examines the unique needs of future teachers in comparison to general calculus books. Initiates new topics with engaging discussion rather than the standard formula-proof-example approach. Stresses the interplay between geometry and calculus, and demonstrates the essential power of calculus for computing areas, lengths, surface areas, and volumes. For current or future mathematics teachers, or anyone interested in learning more about calculus.
Author | : Robert Thomas Smith |
Publisher | : |
Total Pages | : |
Release | : 2006 |
Genre | : Calculus |
ISBN | : 9780071112017 |
Author | : Robert Smith |
Publisher | : |
Total Pages | : 0 |
Release | : 2004 |
Genre | : Calculus |
ISBN | : |
Author | : Robert Thomas Smith |
Publisher | : |
Total Pages | : 477 |
Release | : 2007 |
Genre | : Calculus |
ISBN | : 9780072870299 |