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 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

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

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

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

Website

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

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

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.

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.

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.

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.

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.

Example of Workshop Activity Base plans and views of cube

buildings Isometric drawings Making buildings with Wingeom Making buildings with POV-Ray