Insights into our body through computer tomography
Everybody knows it: An acquaintance has had an accident and you go to the hospital for an X-ray or computer tomography to check whether bones or organs have been injured. The patient is irradiated with X-rays and the doctors receive an image of the cross-section of the examined body part. Different grey tones represent different materials, which attenuate the radiation to different degrees through absorption. But how does this actually work? How is it possible to obtain images of the inner structure of the radiographed body parts with the help of X-rays? It is precisely this question that high school students get to the bottom of with the help of mathematics close to school. They set up mathematical models and use computers to investigate for themselves how the necessary data is determined.
Duration: from 5 hours (incl. lunch break)
Contents: Inverse problems, parameter representation of straight lines and planes, matrices
Previous knowledge: Straight lines in R2, intersection point calculation
Participants: Upper secondary mathematics courses
Created by: Kirsten Wohak
Registration: Appointments can be made individually by e-mail at KIT or RWTH Aachen University.
Source of the image: https://pixabay.com/de/photos/ct-krankenhaus-computertomograph-509938/
List of publications and talks to this modul:
Wohak, K.: Didaktisch-methodische Entwicklung und Evaluation von computergestützten Lehr- und Lernmaterialien zur Mathematik inverser Probleme. Dissertation KIT, 2021.
Wohak, K.: Einblicke in unseren Körper durch Computertomographie – Vorstellung eines Projekttages (presentation), ISTRON, Berlin, 2019.
Wohak, K: Computertomographie als authentisches Modellierungsthema (poster), GDM, Regensburg, 2019.
Wohak, K.: Complex Modeling: Insights into our body through computer tomography – perspectives of a project day on inverse problems (presentation, conference proceedings contribution ), CERME, Utrecht Niederlanden, 2019.
Wohak, K.: Einblicke in unseren Körper durch Computertomographie – Perspektiven eines Projekttages (presentation), ISTRON, Würzburg, 2018.