Statistics for the Terrified: teachers
Teaching statistics is a problem. It is a mathematical discipline, and it is seen as such; but at the same time
it is an essential research tool in even the most non-mathematical disciplines. Unfortunately the traditional courses
are based on the mathematical foundations of statistics, and all too often students are shocked and dismayed by this.
They hate it because they feel unequal to the maths content - and the teachers hate it because they don't want to have
to teach maths. They want to teach their own subject and the maths is getting in the way.
Statistics for the Terrified is a non-mathematical course designed to provide students with a fundamental grasp
of the principles
underlying statistics and statistical analysis, so that they can carry out any research projects and
critical appraisal required of them, and approach other materials (such as textbooks) with
increased confidence.
Statistics for the Terrified: a classroom example
A typical teaching and learning experience might be as follows:
In a classroom session devoted to the technique of regression (or linefitting) the teacher will
use the software to graphically demonstrate the purpose and uses of regression. The tutorial contains
animated examples for the class to see.
The three statistical summaries by which the 'fit' of the line to the data is
described are then introduced by the teacher (gradient/slope, intercept and correlation).
The students can spend a period of time exploring these, perhaps five or ten minutes,
using the interactive graph. Data is changed by dragging points on their screens,
and they can then observe how the visual fit of the line changes and the effect on the three values.
This provides the beginnings of an intuitive understanding of the relationships between the data,
the line of best fit, and these three key values.
The teacher then moves the students on to a series of exercises or 'datagames'. The tutorial provides
randomly generated data sets in the interactive graph, and the students are challenged to change
the data in order to reach randomly generated target values for each of the gradient, intercept
and correlation in turn.
These exercises have been found to be a very powerful method of giving users a
firm grasp of what these values actually represent. For example, you can get a high correlation with
a particular slope - and then
a low correlation with exactly the same slope. Slope and correlation are not the same thing; it is
obvious now. After this, more difficult but
realistic exercises may be used in which the target is a combination of values, again generated randomly.
After formal teaching sessions, these exercises are available to the individual
student for consolidation of their learning, either on the institutional network or via the single-user version.
Because the targets of all these exercises are different each time,
the user cannot learn to succeed in them without gaining some real understanding. Because the course was developed
by a statistics teacher, it is designed as an all-round tool which hugely reduces the teacher's overhead in
session planning and exercise development.
How does it help the teacher?
By providing the foundations of statistical understanding in a resource which can be accessed outside
contact time, the teacher doesn't have to explain the mathematics, and is able to concentrate
instead on the applications of statistics in their own field. Statistics for the Terrified is good for the teacher
because it makes the student want to learn: it is interactive, immediate, fun and yet sophisticated. It provides a
sense of real achievement and a true understanding of the mechanisms of research.
Remember how you learned to ride a bicycle: although you were dealing with friction, angular velocity,
momentum, brake force, gravity and other heavy concepts, you learned how they acted by just doing it. The initial
experience of Statistics for the Terrified works in exactly this way, providing a context for recognition of the
principles when they are explained in more detail.
Learning with Statistics for the Terrified helps students because it reformulates the presentation of
ideas away from the traditional
mathematical approach and into straightforward puzzles and pattern recognition. Pattern recognition is our
most basic and most practised learning skill, and there are few prerequisites, as in childhood. The mathematical
baggage is put to one side.
This tutorial is ideal for those teaching students who require critical appraisal skills,
and will also enable those undertaking
research projects not only to select the best techniques, but also -
with the new module on analysing your own
data - to perform the most common statistical tests. Should they need to understand more sophisticated
techniques, they will have gained insight which will carry them forward.
Other advantages
Statistics for the Terrified meets its objectives by enabling a practical and intuitive understanding
of the basic purposes and techniques employed in statistics, and by providing a simple analysis tool for
project data.
Students are able to explore 'what if' scenarios using interactive graphics rather than complex
mathematics (which would require explanation in themselves), and these provide a commonsense intuitive
context within which more formal teaching can flourish. These scenarios also help the student to understand
the principles by exploring what
happens to the statistical outcomes if the data is changed, rather than learning an example; which
can all too easily be the outcome of traditional teaching where the data is sacrosanct.
The Analysis module allows users to input their own data, thus avoiding the need for
statistics software such as SAS, SPSS, Minitab etc. at this level, and removing a heavy burden from
teachers and support services.
A key design principle has been that the software is easy to navigate. A user who wants to
refer back or forward is typically able to move to any other part of the tutorial in two or three mouseclicks.
Students are supported by the provision of a glossary. The definition of any statistical term
can be obtained by double-clicking the word where it appears.
Evaluate the tutorial for a limited period
Teachers may download a demonstration license of the full tutorial, which can be installed on your
institution's system for thorough examination. We are happy to discuss any aspects of the tutorial with you, and
help you to explore how it may assist you in your teaching.