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IMPACT in Action #2 - Manipulatives in the Classroom

  • 1.  IMPACT in Action #2 - Manipulatives in the Classroom

    Posted 07-08-2021 18:41:00
    Edited by Karen Gaines 07-08-2021 18:45:11

    Research has shown that using manipulatives in the mathematics classroom has the potential to improve student achievement and understanding, increase math efficacy and fluency, and decrease math anxiety.

     

    How and when do you use manipulatives (virtual or physical) in your classroom? Do you believe virtual manipulatives are as effective as physical manipulatives? Please explain.

     



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    Debra Ward
    Utah Valley Univ
    Orem UT
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  • 2.  RE: IMPACT in Action #2 - Manipulatives in the Classroom

    Posted 07-09-2021 01:45:00
    Here is a good source for "Tactile Mathematics" instruction. From https://bookstore.ams.org/clrm-54 .

    Tactile Learning Activities in Mathematics: A Recipe Book for the Undergraduate Classroom

    Julie Barnes: Western Carolina University, Cullowhee , NC,
    Jessica M. Libertini: Virginia Military Institute, Lexington, VA

    MAA Press: An Imprint of the American Mathematical Society

    Q: What do feather boas, cookies, and paper shredders have in common?

    A: They are all ingredients that have the potential to help your undergraduate students understand a variety of mathematical concepts. In this book, 43 faculty from a wide range of institutional settings share a total of 64 hands-on activities that allow students to physically engage with mathematical ideas ranging from the basics of precalculus to special topics appropriate for upper-level courses. Each learning activity is presented in an easy-to-read recipe format that includes a list of supplies; a narrative briefly describing the reasons, logistics, and helpful hints for running the activity; and a page that can be used as a handout in class. Purchase of the book also includes access to electronic printable versions of the handouts.

    With so many activities, it might be hard to decide where to start. For that reason, there are four indices to help the reader navigate this book: a concept index, a course index, an author index, and a main ingredient index. In addition to providing activities for precalculus, calculus, commonly required mathematics courses for majors, and more specialized upper-level electives, there is also a section describing how to modify many of the activities to fit into a liberal arts mathematics class.

    Whether you are new to using hands-on activities in class or are more experienced, the authors hope that this book will encourage and inspire you to explore the possibilities of using more hands-on activities in your classes.

    Bon appétit!



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    Brian Winkel
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  • 3.  RE: IMPACT in Action #2 - Manipulatives in the Classroom

    Posted 07-10-2021 20:54:00
    A great resource for helping implementing classroom teaching more effectively! Not sure how to open the book link above. It seems not work from the webpage. 

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    Jing Xie
    Northestern Illinois University
    Chicago IL
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  • 4.  RE: IMPACT in Action #2 - Manipulatives in the Classroom

    Posted 07-10-2021 23:55:00
    The link  I provided is to the MAA Book Store wherein you can find the tactile book and purchase it.

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    Brian Winkel
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  • 5.  RE: IMPACT in Action #2 - Manipulatives in the Classroom

    Posted 07-11-2021 14:39:00
    Thank you!  I just found the source!

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    Jing Xie
    Northestern Illinois University
    Chicago IL
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  • 6.  RE: IMPACT in Action #2 - Manipulatives in the Classroom

    Posted 07-09-2021 10:54:00
    My daughter and a former student 3D printed these solids for me. They are very helpful when it comes to visualizing solids of revolution and solids described in terms of perpendicular cross sections. I pass them around when we are calculating the volume of these objects. Students really appreciate that as my 3D drawings can be somewhat suspect. If you have any students experienced with 3D printing, ask them and they be able to make similar manipulatives for you.

    Shell method:


    Washer method:
    Rotation of the region bounded by y=x and y=x^2 about the x-axis

    Circular base with equilateral triangle cross sections

    Circular base with Square Cross Sections


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    Robert Jackson
    Assoc.Professor
    Pellissippi State CC
    Knoxville TN
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  • 7.  RE: IMPACT in Action #2 - Manipulatives in the Classroom