Abstract
Théorie Anthropologique du Didactique/Anthropological Theory of the Didactic (ATD) is a new theory on didactic mathematics that was introduced by a French mathematician, Chevellard, in 1991. The ATD is an epistemological model of mathematical knowledge that can be applied to investigate human mathematical activities. Chevallard (1992) identified two aspects of a human mathematical activity that are a practical block and a knowledge block. Both are the main component of praxeologies. The practical block consists of a type of task (T) and a technique (τ). The type of task (T) is a task given to pupils, and they need a technique (τ) to solve it. Meanwhile, the theoretical block consists of a technology (θ) to explain the practical block, and a theory (Θ) is used to justify the technology (θ). The four elements (T, τ, θ, Θ) are connected. In this paper, we try to describe two cases based on ATD especially praxeologies. The first case is a research by Putra (2016) about elementary teachers’ knowledge in designing contextual problems related to the multiplication of fractions. This study focused on the analysis of didactical praxeologies because it gave more attention to the mathematical didactics of teachers’ representations from abstract to contextual problems. The second case is a study done by Wijayanti (2015). She analysed how ratio and proportion present on Indonesian mathematical textbooks. She tried to describe mathematical praxeologies of ratio and proportion of arithmetic and geometry. The implication of both studies is that the ATD especially praxeologies can be a model to analyse both mathematical and didactical knowledge. Therefore, we suggest researchers apply this model as an alternative method to study teachers’ knowledge and analysis mathematical textbooks.
| Original language | English |
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| Title of host publication | Proceeding of the second international conference on education, technology, and sciences: Integrating technology and sciences into early and primary education |
| Editors | Syahrial Syahrial, Saharudin Saharudin, Jeffry Marzal |
| Number of pages | 8 |
| Place of Publication | Jambi, Indonesia |
| Publisher | Fakultas Keguruan dan Ilmu Pendidikan, Universitas Jambi, Indonesia |
| Publication date | Feb 2017 |
| Pages | 142-149 |
| Article number | 15 |
| ISBN (Print) | 978-602-71682-1-3 |
| Publication status | Published - Feb 2017 |
| Event | The Second International Conference on Education, Technology, and Sciences : Integrating Technology and Science into Early and Primary Education - Jambi, Jambi, Indonesia Duration: 2 Nov 2016 → 3 Nov 2016 Conference number: 2 http://icets-fkipunja.org/register/ |
Conference
| Conference | The Second International Conference on Education, Technology, and Sciences |
|---|---|
| Number | 2 |
| Location | Jambi |
| Country/Territory | Indonesia |
| City | Jambi |
| Period | 02/11/2016 → 03/11/2016 |
| Internet address |