© 2017 Ingo Dahn
Products
Results of Recent Work
These are some results if my actual work. They
are provided for free as Open Educational
Resources (OER) under a CC-BY-NC license.
To a large extent, these are aggregations of OER
provided by others. They showcase what becomes
possible when engaged teachers collaborate with
engaged software developers. These are fit for
real life classroom usage and adaptation by non-
technically minded teachers.
2023
Math Test for ChatGPT
ChatGPT is an program
for conversations in
natural language, using
advanced artificial
intelligence. The German Cosh
catalog is a widely supported description of the
Math knowledge that is expected from beginners
of STEM courses at German universities. This
online test lets students discuss the answers
given by ChatGPT to five problems from the Cosh
catalog.
YouPyter
Youpyter adds interactivity to YouTube videos. It
imports a Jupyter notebook nd converts it into a
web page, synchronized with a YouTube video,
representing code cells as linked SageCells. The
video will stop at predefined points and scroll the
page to the appropriate point. Searching in the
web site is like searching in the video.
Demo of a converted page
2022
Qcy and the Hopf Fibration
Qcy is an alien living on a 4-dimensional planet.
Using math concepts like quaternions, the Hopf
fibration and stereographic projections we build a
3-dimensional device to guide Qcy on his 4-
dimensional travel around his planet and to
observe this travel from within our 3 dimensional
space.
In this interactive notebookthe reader can
experiment with quaternions, the Hopf fibration
and stereographic projections using SageCells,
Geogebra applets and Wamap quizzes.
MathTrek Holodeck
The MathTrek Holodeck is
a library to navigate cell
by cell through several
interlinked Jupyter notebooks.
Evaluated cells can be stored as HTML on a
pinboard. The state of the system is retained
across sessions.
MathTrek Holodeck has been implemented wit
Meteor and Vue using the dynamic creation of
SageCells.
2021
MathTrek
Enterprise
Enterprise is an online
tool to navigate relations
between mathematical subjects,
concepts, theorems and persons. It contains a
collection of materials, mostly from Wikipedia,
collected by Ambjörn Naeve (Stockholm). Selected
relations can be exported as stand-alone web
pages.
Gallery of selected relations.
2020
MathTrek++
Together with colleagues
from Sweden, the UK and
Austria I started elaborating a
question-centered, socratic, approach to
education. In this approach, students are
encouraged to develop hypothesis and to
evaluate them critically. A series of interactive
documents demonstrates this for models of the
atmosphere.
Notebook Player
The Notebook Player
converts Jupyter
Notebooks into interactive
web pages the code of which can be edited and
executed in SageCells. These pages require
neither login nor installation of any software.
Their user interface can be fully customized to
meet the students‘ needs.
COVID-19 Analysis
The COVID-19 pandemic
is an excellent
opportunity for a reality
check of mathematical
epidemiologic models, as in theseinteractive
documents.
•
Mathematical models describing the COVID-19
in Germany
•
Mathematics for the Corona Virus
•
Exponential Regression in Ocatve
SageCell Doctor
The transition from
using Python 2 to Python
3 as programming language
broke some code used in the
SageCell online computer algebra system. The
SageCell Doctor Page collects broken code
examples and - where available -
recommendations to correct code errors.
2019
Jupyter Notebooks
for Math Teaching
A summary of
information (in German) on
Jupyter notebooks - what they
are, how they can be dited, how they can be read
and links to some sample notebooks on linear
combinations, , linear approximations and 3
notebooks studying what happens when a 4-
dimensional object passes through our 3-
dimensional world.
Survey on Online Math Test Systems
Supported by many
colleagues from
academia and industry I
compiled a survey on 11
online Math test systems. It
is intended to support teachers, support units and
system administrators in comparing the systems
and selecting the most appropriate for their use
cases. Besides basic data it provides
implementatations of 5 types of math questions,
from the student‘s and from the author‘s
perspective.
Test-Analyzer
A web site that analyzes
results of tests. After
importing a csv file of
test results, the app detects
problematic questions (for
example: Where do the best students fail?) and
provides advice how problems might be
corrected. A graphical view of score distributions
is included. GDPR safe: No data are sent to the
server; all calculations are done in the web
browser. Currently the Open Source learning
management systems IMathAS and ILIAS are
supported. The system has been developed in
Javascript using Vue..
More Products
The NetMath Web Site
The NetMath web site (in German) is the
public face of the NetMath community.
NetMath helps its members to utilize
digital media in teaching Math and
Engineering.
The NetMath Search Engine
The NetMath search engine lets you find
and access free resources from the
NetMath community (mostly in German)
with a single click.
The IMathAS Math Test System
IMathAS is an Open Source Math test
system developed by David Lippman. I
provide teacher support for its users as
part of my work for the Virtual Campus
Rhineland-Palatinate.