Demonstrating, Guiding, and Analyzing Processes

in Dynamic Geometry

SystemsChristian Spannagel

University of Education Ludwigsburg

Ulrich KortenkampUniversity of Education Karlsruhe

Overview

• Product- vs. Process-Orientation• Some problems with processes• 3 Demonstrations of CleverPHL

– Demonstrating Processes– Guiding Processes– Analyzing processes

• Some empirical results• Future work

Product- vs. Process-Orientation

Construct a triangle with c=5 cm, b=5 cm and hc=3 cm.

1) construct c2) g = perpendicular line

(c;B)3) k = circle (B;3cm)4) S = intersection (g;k)5) h = parallel line (c;S)6) j = circle (A;5cm)7) C = intersection (h;j)

Some Problems with Processes…

Some Problems with Processes…

Some Problems with Processes…

What teachers/students should be able do with processes

model

record

replay

annotate

comment

complete

correct

reflect on

analyse assess

guide

support

modifysegment

store

load transfer

search for

edit

processes

direct

demonstrate

Overview

• Product- vs. Process-Orientation• Some problems with processes• 3 Demonstrations of CleverPHL

– recording process-oriented completion problems– modifying the GUI– analyzing processes

• Some empirical results• Future work

Demo 1: Demonstrating processes

Demo 1: Demonstrating processes

Demo 2: Guiding Processes

Demo 2: Guiding Processes

Demo3: analyzing processes

Demo3: analyzing processes

Overview

• Product- vs. Process-Orientation• Some problems with processes• 3 Demonstrations of CleverPHL

– recording process-oriented completion problems– modifying the GUI– analyzing processes

• Some empirical results• Future work

Learning Environment

Text manual

Animated Demonstration

+ spoken comment

ANIM + reduced interface

ANIM ANIM+

training wheels

Some empirical results (no DGS, but spreadsheets)

TEXT ANIM

CSE-

CSE+

ANIM+

27 29 31

30 28 27

N=172 (eighth grade students)

Task „DIAGRAM“: Efficiency

0

1

2

3

4

5

TEXT ANIM ANIM+

Treatment

Ergebnis

CSW-

CSW+

Task „DIAGRAM“: Help access

Future work

• simultaneous recording of mouse and keyboard actions with video and audio– automatic index on parts of the video/audio stream

• simultaneous recording of mouse and keyboard actions with eye tracking data

• Integration of higher level events generated by automatic proving engine of Cinderella

• semi-automated assessment tools in introductory mathematics courses at universities; project „SAiL-M“ (www.sail-m.de)

SAiL-M: Semi-automatic assessment

• Bescherer, C. & Spannagel, C.: Learning mathematics in technology enhanced scenarios - SAiL-M

Monday July 6th, 4:15pm - 5:15pm, room F06

• Fest, A. & Kortenkamp, U.: Process Oriented Learning Environments for Interactive Geometry Lessons

Thursday July 8th, 10:30am - 11:30am, room C06

Thank you very much for your

attention!

CleverPHL is open source and can be downloaded at:http://jacareto.sourceforge.net

Your ideas and feedback: http://tinyurl.com/ictmt09jacareto