Jurnal Didactical Mathematics
Vol. 8 No. 2 (2026): Oktober 2026

From Multiplicative Growth to Institutionalized Exponential Knowledge: A Praxeological Analysis of Exponential Learning in a Secondary Mathematics Textbook

Laila Cantika (Universitas Singaperbangsa Karawang)
Septiani Yugni Maudy (Universitas Singaperbangsa Karawang)
Mulia Putra (Universitas Singaperbangsa Karawang)



Article Info

Publish Date
13 Jun 2026

Abstract

This study investigates the praxeological organization of exponent learning in a Grade 10 mathematics textbook through the lens of the Anthropological Theory of the Didactic (ATD). The study aims to examine how exponent knowledge is introduced, developed, and institutionalized through the relationships among tasks, techniques, technologies, and theories. A qualitative document analysis was conducted using the exponent chapter of the 2021 Indonesian Mathematics Electronic School Book. The analysis focused on Exploration 1.1, Exploration 1.2, and Exercise 1.1, which cover the initial development of concepts of exponents. Mathematical tasks were identified and reconstructed into local praxeologies, which were subsequently synthesized into a global praxeological organization. The findings reveal a coherent learning trajectory consisting of three successive phases. Exploration 1.1 constructs exponentiation through multiplicative growth situations, enabling students to develop meaning from repeated multiplication. Exploration 1.2 extends this understanding by identifying and generalizing the properties of exponents. Exercise 1.1 institutionalizes exponent knowledge by transforming exponent properties into tools for justification, equation solving, and symbolic simplification. The reconstructed global organization demonstrates a progression from meaning construction to formal mathematical practice. The analysis further shows that the visibility of the praxis block increases throughout the chapter, whereas technological explanations become less explicit during the institutionalization phase. These findings contribute to textbook research by illustrating how the sequencing of praxeological components shapes students' opportunities to construct, generalize, and apply mathematical knowledge. The study also highlights the value of ATD as a framework for examining the epistemological organization of mathematical content in school textbooks

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Journal Info

Abbrev

dm

Publisher

Subject

Education Mathematics

Description

The scope of scientific articles that can be published in Jurnal Didactical Mathematics are as follows: Mathematics Education and Teaching, Method / Model / Strategy for Learning Mathematics, Media and Multimedia Learning Mathematics, Curriculum in Mathematics Teaching, Assessment and Evaluation in ...