What is the math of it all
Talking about math is part of learning - especially when the learner is talking
We know from research that students learn most when they are active themselves (e.g. Freeman et al., 2014). Students should do as much as possible themselves in order to think through the matter and develop problem-solving skills. It is therefore important as a teacher to take into account the “principle of minimal help” according to Zech from mathematics didactics. The point is to provide as much help as necessary and as little as possible. Dr. Thomas Trebing from the Technical University of Darmstadt has already published on this topic (Trebing, 2015; Trebing, 2016) and further developed the model. That is why we invited him on June 29th, 2017 for a short training course for the ZLL team and for tutors at the TUHH. Both offers met with great interest.
He identifies three forms of interaction or learning guides:
- Speaking maker
This includes open (return) questions such as "What have you been thinking about so far?" or "How did you figure this out?"
- Impulse generator
These are work instructions, how "Please first write down what is sought and given." Or "Please make a sketch first. If it is still unclear to you, contact me again. "
- active listener
This includes questions of understanding, mirroring z. B. "You shrug your shoulders." or "You frown." and paraphrases, like "So you mean ...".
The first and third forms of interaction stimulate an exchange between the teacher and the student. Here it is important to let the students speak for themselves as much as possible and thus allow them to think (see title).
If, however, many students have questions at the same time in the course, impulses such as the instruction to draw a sketch or to exchange ideas with the person sitting next to you stimulate independent (further) work and enable the teacher to devote himself to other questions .
If you are interested in further tips on minimal help, please feel free to contact me (Jenny Alice Rohde).
- Quote in the title based on Karl Duncker
- Freeman, S., Eddy, SL., McDonough, M., Smith, MK., Okoroafor, N., Jordt, H. & Wenderoth, MP. (2014). Active learning increases student performance in science, engineering, and mathematics. Proc Natl Acad Sci USA 111, Pp. 8410-8415.
- Trebing, T. (2016): Principle of minimal help in tutor teaching films - training use and first results. In: Eßer, A .; Kröpke, H; Wittau, H. (Hg.) (2016): Tutorial work in Discourse III. Qualification for the future. Muenster. Pp. 73-84.
- Trebing, T. (2015). Tutorials: The principle of minimal help in university arithmetic exercises. In: New ways in tutorial teaching in the introductory phase. Zitzelsberger, Olga (Ed.): New ways in tutorial teaching in the introductory phase: Documentation of the conference of the same name in March 2014 at the TU Darmstadt. Münster: WTM, 2015. (Writings on general university didactics; 1), ISBN 978-3-942197-41-0. Pp. 101-115.
- What is mail merge 2
- Pine cones that smell of cinnamon are potentially toxic
- Bodyboarding is easier than surfing
- Is a doctorate from IGNOU valid?
- Is the same phenotype and genotype
- What makes overproduction economical?
- What are 8085 Microprocessor Instructions Categories
- What is your favorite 20th century band?
- How's Alaska 1
- How does the USAA offer better insurance
- Can you solve this tricky math question
- What is the quality of Kumho tires
- How can we define collective intelligence
- The SAT Math 2 is easy
- Naruto and Sasuke have unlimited chakra
- How did you discover absolute zero
- What dried fruits make our brain hot
- How did Idaho get its nickname?
- What does accent lighting mean
- What do mathematicians think of logicians?
- If our body is 99 999 empty
- How is VR changing the music industry
- What can be solved with Java
- Does Dove have an antibacterial soap
- How does property pass at death
- What is the strongest trio in Naruto
- Why does Pepsi make Max so addicted
- What is used in solid rocket propellants
- Why did critics love Moneyball so much
- Can WhatsApp be sued under the Competition Act
- What does namo nama mean
- Hinduism is based on science
- Can non-alcoholic wine get you drunk
- Why do you worship your god