Mathemacy and Mathematical archaeology c/o Ole Skovsmose

(Ack. quoted at length and hopefully justified?)

"Mathemacy

The notion of “literacy” has been developed by Paulo
Freire to mean much more than just being able to read
and write. Literacy also includes competence in interpreting
social life. The notion of mathemacy can be developed
in a similar way to mean more that an ability to
calculate.

In order to do this, it is important to pay attention to
the notion of reflection. When a calculation, based on a
mathematical task, is carried out, it is possible to reflect
on the actual result. Such a reflection has mathematical
concepts and algorithms as its objects. A question guiding
such a mathematics-oriented reflection can be: Are the
calculations made correctly?

When setting up a mathematical model, in order to
solve a non-mathematical problem, we face many difficulties.
Thus, any modelling process presupposes that
certain simplifications are established. This means paying
attention to certain aspects of “reality” and neglecting
others. This is, for instance, what takes place when a
population model is used for the purpose of forecasting.
Reflections referring to a modelling process are of a different
kind than mathematics-oriented reflections. While
this kind of reflection has mathematics calculations as its
object, a model-oriented reflection has the relationship between
mathematics and an extra-mathematical reality as
its object. A question guiding a model-oriented reflection
can be: Is the output of the modelling process reliable?
Model-oriented reflections are carried out with an interest
in improving the model, i.e. with a technological interest.
Such reflections concern the validity of the model." p.199.

 INDIVIDUAL

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 INTERPERSONAL    :     SCIENCES               

HUMANISTIC --------------------------------------  MECHANISTIC   

SOCIOLOGY  :   POLITICAL 

|

GROUP

reflection "Be the difference!" ... Said, one number to another - hopefully!

reflection

"Mathematical archaeology Social structuration, at macro or at micro level, often takes place with reference to mathematics. Such an interplay between knowledge and power is referred to by the thesis of the formatting power of mathematics. As mathematics is basically an “invisible” part of social structuration, we need strong analytical tools to capture the role of mathematics. This leads to the notion of mathematical archaeology." p.199.

"A reflection guided by such questions can be called a context-oriented reflection. “Context” is here understood as a political, social or cultural context." p.199.

Hodges' Health Career - Care Domains - Model

'health career' - 'life chances'

"lifeworld-oriented reflection"p.200.

Skovsmose, O. Linking mathematics education and democracy: Citizenship, mathematical archaeology, mathemacy and deliberative interaction. Zentralblatt füur Didaktik der Mathematik 30, 195–203 (1998). https://doi.org/10.1007/s11858-998-0010-6

 #HealthTheory