Fundamentals of Calculus for Teachers

(First Edition)
Dustin Jones
©2020, 166 pages

Paperback list price: $ 81.95

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Fundamentals of Calculus for Teachers

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    Fundamentals of Calculus for Teachers helps readers connect the dots between key calculus concepts and the mathematics content taught in the middle grades, namely fourth through eighth grade in the United States. The text prepares future instructors to fully understand the mathematical content taught in lower and higher grades, build upon the knowledge their students will bring to the classroom, and prepare students for study of more advanced topics.

    The book focuses on broad concepts rather than detailed techniques. Over the course of five targeted chapters, students are introduced to key calculus concepts that relate to limits, derivatives, and integrals. Each chapter begins with a description of prerequisite knowledge and brief warmup exercises to prepare the reader for forthcoming content. Students are guided through a set of exercises that demonstrate the concepts in action, with distinct opportunities for input from their instructor and the use of technology (graphing calculators, spreadsheets, etc.) to encourage practical application.

    Designed to help students sharpen their conceptual knowledge of calculus concepts, Fundamentals of Calculus for Teachers is an ideal resource for courses that prepare future instructors to teach classes in middle-grades mathematics.

    Dustin Jones is a professor of mathematics education at Sam Houston State University. He earned his Ph.D. in mathematics education from the University of Missouri and his M.S. in mathematics from Texas A&M University. His professional areas of interest include mathematics education, statistics education, textbook analysis, teaching mathematics with technology, mathematics teacher preparation, and teacher professional development.
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    “Fundamentals of Calculus for Teachers provides valuable insights for introducing key calculus concepts to students before they experience formulas. This fosters their conceptual knowledge, helping them make connections and encouraging a productive disposition toward mathematics. The book also focuses on current technologies such as Desmos and GeoGebra—free and readily accessible to all teachers and students—which aid in reinforcing key calculus concepts.”
    Shannon Driskell, Ph.D.
    Professor of Mathematics Education
    Department of Mathematics
    University of Dayton

    “Fundamentals of Calculus for Teachers should be the required textbook for all preservice middle level mathematics teachers in the U.S. Dr. Dustin Jones' approach explicitly aligns the key concepts from calculus with their related topics in the middle school curriculum, allowing preservice teachers to readily see the salient connections. What makes this textbook particularly unique is the way that various modes of technology are weaved throughout the course in the form of inquiry-based tasks to support the conceptual understanding of calculus. I taught two semesters of a calculus for teachers course using the draft of this textbook, and I highly recommend it!”
    Jackie Murawska, Ed.D.
    STEM Instructional Coach
    Skokie/Morton Grove School District 69

    “Fundamentals of Calculus for Teachers by Dustin Jones fills a much-needed gap in middle school mathematics teachers’ content knowledge. It provides a deep conceptual development of fundamental calculus ideas and ties them to aspects of the middle school mathematics curriculum. More importantly, the textbooks uses mathematical technology such as Desmos and GeoGebra to aid students in their conceptual development. I have used draft versions of this book for the past four years and have been very happy with it.”
    Dr. Mark Klespis
    Sam Houston State University