Hodges' Model: Welcome to the QUAD: Landscapes, Maths, Line of Sight c/o Penteado & Skovsmose Eds. (2022)

Hodges' model is a conceptual framework to support reflection and critical thinking. Situated, the model can help integrate all disciplines (academic and professional). Amid news items, are posts that illustrate the scope and application of the model. A bibliography and A4 template are provided in the sidebar. Welcome to the QUAD ...

Tuesday, March 12, 2024

Landscapes, Maths, Line of Sight c/o Penteado & Skovsmose Eds. (2022)




The care / knowledge domains of
Hodges' model as landscapes:
as 'initial sketches'?

'Line of sight/thought?'




Individual
|
      INTERPERSONAL    :     SCIENCES               
HUMANISTIC  --------------------------------------  MECHANISTIC      
 SOCIOLOGY  :    POLITICAL 
|
Group

reflection

critical reflection

cognitive/conceptual landscapes


maths and sciences =

hard subjects ?


"We understand that mathematics is especially relevant in knowledge processing, and operates in the process of globalisation,4 i.e., it interferes in several aspects that integrate with society. We admit that globalisation refers to all aspects of life and that, depending on how it is questioned and operationalised, it may or may not be beneficial. Therefore, globalisation “has to do with the construction, codification, and distribution of knowledge that turns into goods for sale” (Skovsmose, 2014, p. 130). This way, mathematical knowledge is involved as part of the foundations of society, making it necessary to question its position in this laborious civilising equation (Civiero and Bazzo, 2020). In this context we delegate some power to critical mathematics education (CME) by considering that it can contribute to the formation of critical individuals by promoting reflection on this process. Bazzo (2019) considers us to experience a civilising equation whose variables need to be discussed in schools." pp.296-297.

"The word citizenship, a contested concept, emerges in different discourses that can hide contrasting interests. Differences in its meanings are enhanced with the changes in society through history. This chapter presents a discussion about mathematics education for citizenship and its outcomes. School presents itself as a stage of dispute and a space for expressing different ideologies that can configure ways of thinking and structuring an education on the topic of citizenship. Mathematics education is shown to be supportive of different citizenship discourses. In a globalised world with deep inequalities, a type of mathematics education for citizenship that matches with inclusion and diversity is required; one which considers global issues. The proposed landscape of investigation Global Visibility Matters is a possible support aid for mathematics classes, based on enabling students to develop global citizenship. By reading and interpreting a social situation as being open to change, it becomes possible for the students to be recognised as—and to act as—global citizens." p.133.



Chapter 8 Global Citizenship, Manuella Carrijo, pp. 133-147.

Chapter 18 Critical Mathematics Education in Action:  To Be or Not to Be. Paula Andrea Grawieski Civiero and  Fátima Peres Zago de Oliveira. pp. 295-321.

Penteado, M. & Skovsmose, O., editor. (2022) Landscapes of Investigation: Contributions to Critical Mathematics Education. Cambridge, UK: Open Book Publishers. [Pdf] Retrieved from the Library of Congress, https://www.loc.gov/item/2021385926/

landscape
https://hodges-model.blogspot.com/search?q=landscape

sketch
https://hodges-model.blogspot.com/search?q=sketch

'line of sight'
https://hodges-model.blogspot.com/search?q=line+of+sight