Conceptions about mathematics, its teaching and learning in Compendio Mathematico (1707) written by the Spanish Thomas Vicente Tosca (1651-1723)

Abstract The preface of a book is one of the main examples of paratexts, defined by Gérard Genette as those devices and conventions that enable a text to become a book. It can provide information about aspects such as the author's motivation and intention, the origin of the presented ideas, the potential readers, etc. In the particular case of a mathematical text devoted to some extent to teaching, the preface can provide information about the author's conceptions and beliefs about mathematics, its teaching and learning. In this work, we analyze the preface of Compendio Mathematico written by Thomas Vicente Tosca in 1707. This approach will allow us to have a view of how the teaching and learning of mathematics as well as mathematics itself were conceived during Spanish preenlightenment.

摘要 书籍前言是副文本（paratexts）的典型范例之一，热拉尔·热奈特（Gérard Genette）将副文本定义为令文本得以成为书籍的各类载体与惯例。前言可提供多维度信息，涵盖作者的创作动机与意图、所阐述思想的起源、目标读者群体等。针对一定程度上以教学为旨归的数学文本而言，其前言还可披露作者对数学、数学教学与数学学习的认知与信念。本研究针对托马斯·维森特·托斯卡（Thomas Vicente Tosca）于1707年撰写的《Compendio Mathematico》前言展开分析，该分析将帮助我们洞悉西班牙启蒙运动前期，人们对数学教学、数学学习乃至数学本身的认知图景。