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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
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