Amsp geometry for middle school teachers workshop
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AMSP Geometry for Middle School Teachers Workshop. Part of the AMSP Mathematics Strand June 2003 EKU, July 2003 UV Wise Associated with revision of pre-service geometry courses. Geometry Team. Roger Angevine, Somerset CC Vivian Cyrus, Morehead State U David Hawkins, Letcher County, KY

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AMSP Geometry for Middle School Teachers Workshop

  • Part of the AMSP Mathematics Strand

  • June 2003 EKU, July 2003 UV Wise

  • Associated with revision of pre-service geometry courses


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Geometry Team

  • Roger Angevine, Somerset CC

  • Vivian Cyrus, Morehead State U

  • David Hawkins, Letcher County, KY

  • Robert Hebble, Kentucky State U

  • Lori Kieper, Madison Central HS, KY

  • Paulette King, Huntsville ES, TN

  • Carl Lee, UK

  • Michelle McCloud, York Institute, TN

  • George Moss, UV Wise

  • Jill Southard, Whitley County MS, KY

  • Amy Wheeler, Pikeville College

  • Jennifer Wilson, UV Wise


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Development

  • Partnership of school and college faculty, including AMSP Mentored Interns

  • Developed firmly around existing standards-based, inquiry-driven middle school curriculum (Connected Mathematics)

  • Attention paid to students’ mathematical trajectories, pre- and post- middle school

  • Alignment with national and state standards


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Content

  • Covering and Surrounding (two-dimensional perimeter and area)

  • Filling and Wrapping (three-dimensional surface area and volume)

  • Ruins of Montarek (describing and representing three-dimensional objects)

  • Participants received a student book and a teacher book for each of these units


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Technology

  • Wingeom (“Peanut geometry”--free software for 2- and 3-dimensional drawing)

  • POV-Ray (free software for fancy 3-dimensional scenes)

  • AMSP activity site

    • Website for posting and sharing of resources, including workshop materials and links to useful websites

    • Participant list for future communication

    • Place for participants to provide reports for feedback

    • Place to submit plans for school implementation


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Website

www.ms.uky.edu/~lee/amspgeom03

/amspgeom03.html/


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Materials

  • Participants received materials for use in the workshop and in the following school year

    • Multilink cubes

    • Miras

    • Polydron

    • TI-73 calculators

    • Power Solids

    • Handouts

    • CMP student and teacher books


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Format

  • Pre- and post- geometry inventory

  • 3 days on each of the 3 main topics, each topic enhanced by additions, suggestions, contributions, and experience of participants

  • 10th day included preparation of plans for “mentored implementations” by the participants in their classes.


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Examples of Participant Feedback

  • This fall I will use more hands-on activities to develop the ideas of the concepts in the students’ minds. I have been teaching for the concept without actually teaching the students what it really is.

  • I have learned ways to present ideas and formulas that I could not explain before.

  • I will utilize the many web resources that I have learned about during this workshop. I have really enjoyed that sharing that has taken place during the workshop.


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Examples of Participant Feedback

  • I will be better able to integrate technology (Wingeom) now that I will be able to download the program.

  • I believe the internet sites for the virtual manipulatives will be wonderful technology-based activities when coupled with instruction.

  • I am so glad that I will not have to spend so much time making my own geometry based activities because there are so many good ones from the workshop.


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Examples of Participant Plans

  • Students will use coordinates to translate, reflect, rotate 2 dimensional & 3 dimensional figures. (Use Ruins of Montarek as source) Begin with dot paper (sq & isometric) draw figures. Also use Multilink cubes for manipulatives. Move to coordinate grid paper. Use WinGeom & POV-Ray to demonstrate transformations. Assessment—Transformation Art Project.


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Examples of Participant Plans

  • I will facilitate Investigation 2 (Designing Packages) and Investigation 4 (Cylinders) of Covering and Surrounding with 4 8th grade classes with 25 students each. I will use the geoboards and area formulas applications on the TI-73 calculators along with these investigations. I will conclude with an assessment drawn from the teacher’s guide.


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Example of Workshop Activity

  • Base plans and views of cube buildings

  • Isometric drawings

  • Making buildings with Wingeom

  • Making buildings with POV-Ray