# Telling Tales: Models, Stories and Meanings

@article{Bissell2000TellingTM, title={Telling Tales: Models, Stories and Meanings}, author={Chris Bissell and Chris Dillon}, journal={for the learning of mathematics}, year={2000}, volume={20}, pages={3-11} }

ion versus idealisation Applying both the abstraction (physical modelling) and idealisation (system identification) processes to the same situation can often be very revealing. For example, ignoring friction, inertia and compressibility and using physical reasoning, leads to an integrator model of an actuator. Including inertia and viscous friction, and applying Newton's Laws, leads to a model of the form of Figure 5; while allowing for fluid compressibility as well admits the possibility of…

## 42 Citations

### Models: What Do Engineers See in Them?

- Engineering
- 2012

Developments in areas such as communications, control and switching systems, notably those moving into the public domain after the end of World War II, increasingly used complex mathematical ideas to…

### Shall I compare thee to a pressure wave? : visualisation, analogy, insight and communication in physics

- Education
- 2006

p.xiv Chapter 0: Overview. 0.1 Physicists’ use of analogy to conceptualise and communicate physics. p.l 0.2 Training students to think scientifically. p.2 0.3 A word about terminology. p.3 0.4…

### Mathematical modelling as a professional task

- Business
- 2016

Educational research literature on mathematical modelling is extensive. However, not much attention has been paid to empirical investigations of its scholarly knowledge from the perspective of…

### The mathematical components of engineering expertise: the relationship between doing and understanding mathematics

- Business
- 2002

For a number of years, the Mathematical Sciences group at the Institute of Education has been carrying out research studies on the mathematical aspects of professional practice, looking at investment…

### Mathematical Components of Engineering Expertise

- Mathematics
- 2002

A pattern of mathematics-in-use in which the mathematics of school was transformed into something rather different; numerical calculations were not just about quantities, but part of a social practice involving things; numerical relations were seen to be a part of the properties of objects rather than representations of the quantities involved.

### Metatools for information engineering design

- Art
- 2012

An examination of the professional practice of engineers in many disciplines reveals a history of engineers developing highly sophisticated tools to eliminate the need to ‘do mathematics’ in the…

### Mathematical Epistemologies at Work.

- Art
- 2002

In mathematical terms, there is a celebrated tension between forms of discourse and cognition that are delicately tuned to cultural practices and those that are focused explicitly on mathematics per…

### Mathematical 'meta-tools' in 20th Century information engineering

- Art
- 2004

An examination of the professional practice of engineers in many disciplines reveals a history of engineers developing highly sophisticated tools to eliminate the need to ‘do mathematics’ in the…

### The Mathematical Modeling of Structural Engineers

- Education
- 2006

Math-education reformers encourage the incorporation of mathematical modeling activities into K-12 curricula. Many of the purported educational benefits derive from the authenticity of the…

## References

SHOWING 1-8 OF 8 REFERENCES

### System Dynamics and Control

- Computer Science
- 1998

This chapter discusses modeling and construction of dynamic and Static systems, as well as system design, which addresses the challenges faced in integrating these systems into a distributed system.

### Automatic Control Systems

- Computer Science
- 1962

This new edition of Automatic Control Systems features a new, accessible approach for students taking introductory courses on control systems while retaining the depth and rigor of Benjamin Kuos classic, best-selling text.

### Models as Mediators

- Economics
- 1999

The editors provide a framework which covers the construction and function of scientific models, and explore the ways in which they enable us to learn about both theories and the world.

### Trust in Numbers

- Sociology
- 1995

What accounts for the prestige of quantitative methods? The usual answer is that quantification is desirable in social investigation as a result of its successes in science. This book questions…

### Modern Control Systems

- Computer ScienceIEEE Transactions on Systems, Man, and Cybernetics
- 1981

This book presents a control engineering methodology that, while based on mathematical fundamentals, stresses physical system modeling and practical control system designs with realistic system specifications.

### Engineering mathematics in the UK: SARTOR-a timely opportunity for reform

- Computer Science
- 2000

The paper outlines recommendations that will allow benchmarking of the mathematical aspects of degree programmes and issues associated with mathematical preparedness of students entering engineering degrees are examined.

### 5th edn) Automatic

- Control Sy.stems,
- 1987

### Mathematics matters in education, Southend-on

- Institute of Mathematics and its Applications Automatic Control Systems
- 1987