Anthropological theory of the didactic: A new research perspective on didactic mathematics in Indonesia

TY - GEN

T1 - Anthropological theory of the didactic: A new research perspective on didactic mathematics in Indonesia

AU - Putra, Zetra Hainul

AU - Witri, Gustimal

N1 - Conference code: 2

PY - 2017/2

Y1 - 2017/2

N2 - 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.

AB - 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.

M3 - Article in proceedings

SN - 978-602-71682-1-3

SP - 142

EP - 149

BT - Proceeding of the second international conference on education, technology, and sciences: Integrating technology and sciences into early and primary education

A2 - Syahrial, Syahrial

A2 - Saharudin, Saharudin

A2 - Marzal, Jeffry

PB - Fakultas Keguruan dan Ilmu Pendidikan, Universitas Jambi, Indonesia

CY - Jambi, Indonesia

T2 - The Second International Conference on Education, Technology, and Sciences

Y2 - 2 November 2016 through 3 November 2016

ER -