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 – Janet.Andreasen@ucf.edu

• Co-PI’s– Erhan Haciomeroglu–Erhan.Haciomeroglu@ucf.edu– Maria Capursi – Maria.Capursi@ucf.edu

• Website– http://education.ucf.edu/gps

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