Papers by Willy Alangui
ICME-13 Topical Surveys, 2016
... Page 2. STONE WALLS and WATER FLOWS: Interrogating Cultural Practice and MathematicsWilfredo ... more ... Page 2. STONE WALLS and WATER FLOWS: Interrogating Cultural Practice and MathematicsWilfredo Vidal Alangui ... 90 6.2 Into the Field: Initial Visits, Contact-Building and Establishing Camp 93 6.3 Making Marks, Writing Texts: My Research Strategies 95 ...
Educational Studies in Mathematics, 2003
... The proceedings of the First Interna-tional Congress on Ethnomathematics in Granada (Contrera... more ... The proceedings of the First Interna-tional Congress on Ethnomathematics in Granada (Contreras, Morales & Ramírez, 1999), and the second this year (Monteiro, 2002) provide rich debate on all the issues raised in Rowlands and Carson's article. ...
Numeracy and beyond: …, 2001
This is the report of the establishment and first stages of a major project working with senior s... more This is the report of the establishment and first stages of a major project working with senior secondary students in low socio-economic schools in Auckland, New Zealand. The project is the result of a Scoping Study conducted during 1999/2000, and is planned to involve eight decile 1 & 2 schools in one region of Auckland over a 5-year period. It is aimed at enhancing the achievement and participation of Year 12 and Year 13 mathematics students in their final years at school and promoting their transition into mathematical programmes in tertiary education. This paper outlines the results of the Scoping Study, the research objectives of the project, the methodological principles being used, and the preliminary results of the first 6-months work.
For the Learning of Mathematics, 2010
Books by Willy Alangui
Thesis Chapters by Willy Alangui
General copyright and disclaimer In addition to the above conditions, authors give their consent ... more General copyright and disclaimer In addition to the above conditions, authors give their consent for the digital copy of their work to be used subject to the conditions specified on the Library Thesis Consent Form and Deposit Licence. Note : Masters Theses The digital copy of a masters thesis is as submitted for examination and contains no corrections. The print copy, usually available in the University Library, may contain alterations requested by the supervisor.
Conference Presentations by Willy Alangui
This paper discusses the challenges posed by ethnomathematics as a field of study, and suggests w... more This paper discusses the challenges posed by ethnomathematics as a field of study, and suggests ways of meeting these challenges. Using an ongoing ethnomathematical study on the practice of stone walling among the Kankana-ey people of northern Philippines, it shows how an investigation of QRS conceptual systems may be useful in identifying unfamiliar mathematical ideas. It presents four indicators that may be used in uncovering mathematical systems in a cultural practice, and examines stone walling using these indicators. The task of ethnomathematics as a field of study is to uncover mathematical ideas that are hidden within cultural concepts or practice. How to search for unfamiliar mathematical ideas and how to make sense of them in a culturally unfamiliar context are two interrelated problems in ethnomathematics. The first problem suggests that the concepts we are looking for may not be recognisable or familiar in the conventional mathematical sense, while the second stresses the need to understand these concepts in their cultural context. These challenges are interrelated in the sense that the mathematical ideas or concepts are meaningless outside of their cultural milieu. Such ideas are produced and reproduced, or are changing, according to the material conditions and realities from which they are rooted. Both problems point to the need for " external criteria " for admitting a certain concept or practice as mathematics (Alangui & Barton, 2002) or mathematical. The need for external criteria admits the possibility that the concept or practice that is the subject of an ethnomathematical study may originate from a culture that does not have the category mathematics. In this case, judging a cultural concept or practice using the categories of academic mathematics poses a dilemma to the ethnomathematician – it becomes a colonising enterprise, a case similar to what McConaghy (2000) refers to as " theoretical assimilationism " in indigenous education. Making explicit these external criteria is a challenge to any ethnomathematical study. Alangui and Barton (2002) suggest one approach that may prove useful is investigating how people make sense of quantity, relationships and space (QRS), and how these are communicated and talked about in the culture. Such an approach avoids reference to the term mathematics. Studying the QRS system embedded in a cultural practice may help uncover the mathematical ideas in a cultural practice, while avoiding the pitfall of judging a practice using categories of academic mathematics. The study of QRS system originally proposed by Barton (1996, 1999) actually means investigating QRS conceptual system(s), not just technical ones. 1 It is important to make this distinction because we want the mathematical ideas we seek in an ethnomathematical inquiry to be those that are part of a 1 A technical system merely describes the practical and procedural aspects of say, a cultural practice. While this is in itself a useful endeavour, the investigation might miss out on the opportunity of going deeper in the understanding of the people's conceptions of quantity, relationships and space that may be embedded in their practice. In this case, the aim of the ethnomathematical study is glossed over.
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Papers by Willy Alangui
Books by Willy Alangui
Thesis Chapters by Willy Alangui
Conference Presentations by Willy Alangui