Geometric Constructions
Geometry Professional Development Series for Teachers
University of Central FloridaJ. Andreasen; E. Selcuk Haciomeroglu; M. Capursi;
Bhesh Mainali; Edward Knote; A. Zghayyar1
What is GPS for Teachers?• Funded under Florida Department of Education
(FLDOE) Teacher Quality Grants• Collaborative partnership between UCF College of
Education, College of Sciences, Orange County Public Schools (OCPS), and Florida Virtual School (FLVS)
• Extensive professional development for High School Geometry teachers in OCPS
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Goals of GPS for Teachers• Improve teacher content knowledge in
geometry; • Increase student achievement in geometry; • Develop professional development program
for sustained and focused support for geometry teachers;
• Evaluate professional development3
Structure of Professional Development
• 40 High School Geometry teachers in each cohort• Two weeks of professional development in
summer 2012• Monthly follow-up professional development
throughout school year with site visits• Final week of professional development in
summer 20134
Professional Development• Focused on:– Implementing Next Generation Sunshine State
Standards (NGSSS) and Common Core State Standards for Mathematics (CCSS-M) along with the Standards for Mathematical Practice (SMP)
– Reasoning and sense making– Developing mathematical knowledge for teaching
geometry
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Constructions
• Foster reasoning and sense making and the Standards for Mathematical Practice
• Focus on explanations and justifications• Connect technology in meaningful ways• Represent constructions in multiple ways• Reach diverse learners
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Connected to Standards• How does using Patty Paper foster different
understandings than Compass and Straightedge or GeoGebra?
• How do these three types of constructions connect to the SMP?
• Where does differentiated instruction fit in?• How does this meet the needs of diverse student
populations?7
Patty Paper
• Using Patty Paper, construct an equilateral triangle whose side length is the side of the patty paper
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Patty Paper
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Patty Paper
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Patty Paper
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Compass and Straightedge• Using a compass and straightedge, construct
an equilateral triangle with side length of segment AB.
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GeoGebra
• Customize toolbars and construct an equilateral triangle using GeoGebra.
• www.geogebra.org
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Connected to Standards• How does using Patty Paper foster different
understandings than Compass and Straightedge or GeoGebra?
• How do these three types of constructions connect to the SMP?
• Where does differentiated instruction fit in?• How does this meet the needs of diverse student
populations?14
GeoGebra
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• GeoGebra is open sourcewww.geogebra.org
• GeoGebraWiki – Free Materialswww.geogebra.org/wiki
• GeoGebra User Forumwww.geogebra.org/forum
Contact Information• PI: – Janet Andreasen – [email protected]
• Co-PI’s– Erhan Haciomeroglu–[email protected]– Maria Capursi – [email protected]
• Website– http://education.ucf.edu/gps
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