History of Mathematics Teaching and Learning

Abstract

The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use.

Briefly Recalling Moments in Mathematics Education History:

“…Goodrich's text and his sentiments were significant, which were of the first to offer a consideration of pedagogical alternatives to the "rule method" which nearly completely characterized formal arithmetic teaching in the United States since the country's inception. Widely considered to be the most significant in this regard was the "inductive method" developed from the pedagogical theories of the Swiss philosopher Johann Pestalozzi and championed in America by textbook author Warren Colburn (Cohen, 2016;Kilpatrick, 2014;Karp & Furinghetti, 2016). Colburn's seminal text, First Lessons in Arithmetic on the Plan of Pestalozzi, with Some Improvements, was originally published in 1821, and was followed by the 1826 edition, the title of which was often adjoined with Colburn's name: Colburn's First Lessons.…”

Emergent curriculum in basic education for the new normality in Peru: orientations proposed from mathematics education

“…It is known that mathematics develops according to social needs (Ribnikov, 1984) and I could say the same thing of school (Renert, 2011) and curriculum (Chevallard et al, 2005). According to this evolution, some mathematical subjects appear and others disappear and new occupations create total or partial curricular changes (Karp & Furinghetti, 2016). Moreover, even before the pandemic, some authors had indicated some trends within the world of work that schools around the world should have considered (International Labour Organization, 2020; Bonilla-Molina, 2020).…”

Optimization Problems in Spanish Differential Calculus Books Published in the 18th Century

“…The history of mathematics education is characterised by its interest in the multiple factors that have influenced the development of mathematical knowledge throughout history. On the one hand, it examines the curricula, teaching resources and legislative documents relating to mathematics education of each period, but also all the elements involved in the process of teaching and learning the discipline, such as the work or educational practice of textbook authors or educators and the social, political and academic events that influenced them [1].…”

“…In this sense, as Maz, Torralbo and Rico [2] note, research on the history of mathematics education shows and explains the process of incorporating new mathematical advances into the teaching of the subject and identifies how the social, political and academic context influences the way in which they are approached and disseminated within the current educational system. Thus, in this field of study, in addition to those that address the state of the art [1] and the different research methodologies [3][4][5], there have been many studies that examine curricula, educational legislation, teaching resources and textbooks [6,7], identify the influence of philosophical, political, social, economic and cultural tendencies on mathematics education [8,9], analyse the evolution of the teaching role [10] and determine the contribution of historical character or educational institutions to mathematics education [11][12][13][14].…”