Book contents
- Frontmatter
- Preface
- Contents
- 1 Teaching with Primary Historical Sources: Should it Go Mainstream? Can it?
- 2 Dialogismin Mathematical Writing: Historical, Philosophical and Pedagogical Issues
- 3 The Process of Mathematical Agreement: Examples from Mathematics History and an Experimental Sequence of Activities
- 4 Researching the History of Algebraic Ideas from an Educational Point of View
- 5 Equations and Imaginary Numbers: A Contribution from Renaissance Algebra
- 6 The Multiplicity of Viewpoints in Elementary Function Theory: Historical and Didactical Perspectives
- 7 From History to Research in Mathematics Education: Socio-Epistemological Elements for Trigonometric Functions
- 8 Harmonies in Nature: A Dialogue Between Mathematics and Physics
- 9 Exposure to Mathematics in the Making: Interweaving Math News Snapshots in the Teaching of High-School Mathematics
- 10 History, Figures and Narratives in Mathematics Teaching
- 11 Pedagogy, History, and Mathematics: Measure as a Theme
- 12 Students' Beliefs About the Evolution and Development of Mathematics
- 13 Changes in Student Understanding of Function Resulting from Studying Its History
- 14 Integrating the History of Mathematics into Activities Introducing Undergraduates to Concepts of Calculus
- 15 History in a Competence Based Mathematics Education: A Means for the Learning of Differential Equations
- 16 History of Statistics and Students' Difficulties in Comprehending Variance
- 17 Designing Student Projects for Teaching and Learning Discrete Mathematics and Computer Science via Primary Historical Sources
- 18 History of Mathematics for Primary School Teacher Education Or: Can You Do Something Even if You Can't Do Much?
- 19 Reflections and Revision: Evolving Conceptions of a Using History Course
- 20 Mapping Our Heritage to the Curriculum: Historical and Pedagogical Strategies for the Professional Development of Teachers
- 21 Teachers' Conceptions of History of Mathematics
- 22 The Evolution of a Community of Mathematical Researchers in North America: 1636–1950
- 23 The Transmission and Acquisition of Mathematics in Latin America, from Independence to the First Half of the Twentieth Century
- 24 In Search of Vanishing Subjects: The Astronomical Origins of Trigonometry
- About the Editors
23 - The Transmission and Acquisition of Mathematics in Latin America, from Independence to the First Half of the Twentieth Century
- Frontmatter
- Preface
- Contents
- 1 Teaching with Primary Historical Sources: Should it Go Mainstream? Can it?
- 2 Dialogismin Mathematical Writing: Historical, Philosophical and Pedagogical Issues
- 3 The Process of Mathematical Agreement: Examples from Mathematics History and an Experimental Sequence of Activities
- 4 Researching the History of Algebraic Ideas from an Educational Point of View
- 5 Equations and Imaginary Numbers: A Contribution from Renaissance Algebra
- 6 The Multiplicity of Viewpoints in Elementary Function Theory: Historical and Didactical Perspectives
- 7 From History to Research in Mathematics Education: Socio-Epistemological Elements for Trigonometric Functions
- 8 Harmonies in Nature: A Dialogue Between Mathematics and Physics
- 9 Exposure to Mathematics in the Making: Interweaving Math News Snapshots in the Teaching of High-School Mathematics
- 10 History, Figures and Narratives in Mathematics Teaching
- 11 Pedagogy, History, and Mathematics: Measure as a Theme
- 12 Students' Beliefs About the Evolution and Development of Mathematics
- 13 Changes in Student Understanding of Function Resulting from Studying Its History
- 14 Integrating the History of Mathematics into Activities Introducing Undergraduates to Concepts of Calculus
- 15 History in a Competence Based Mathematics Education: A Means for the Learning of Differential Equations
- 16 History of Statistics and Students' Difficulties in Comprehending Variance
- 17 Designing Student Projects for Teaching and Learning Discrete Mathematics and Computer Science via Primary Historical Sources
- 18 History of Mathematics for Primary School Teacher Education Or: Can You Do Something Even if You Can't Do Much?
- 19 Reflections and Revision: Evolving Conceptions of a Using History Course
- 20 Mapping Our Heritage to the Curriculum: Historical and Pedagogical Strategies for the Professional Development of Teachers
- 21 Teachers' Conceptions of History of Mathematics
- 22 The Evolution of a Community of Mathematical Researchers in North America: 1636–1950
- 23 The Transmission and Acquisition of Mathematics in Latin America, from Independence to the First Half of the Twentieth Century
- 24 In Search of Vanishing Subjects: The Astronomical Origins of Trigonometry
- About the Editors
Summary
Introduction
Recent scholarship traces the occupation of the Americas, justifiably called the New World, to about 40,000 years ago. The search for explanations (religions, arts and sciences), systems of values and behavior styles (communal and societal life), the psycho-emotional and the imaginary, and the models of production and of property were developed, in these cultures, in a way which is completely different of what was developed in the so-called Old World.
The major encounter identified as the Conquest of the Americas, initially by Spanish and Portuguese navigators, later followed by British, French and Dutch, brought European knowledge systems to the New World. In the period known as the Colonial Era, which extended from the early 16th century through the transition from the 18th to the 19th century, European knowledge laid firm institutional grounds.
The process of submitting of the entire planet to European powers reflects the ethos of these powers and thus characterizes the different objectives of the conquest and the way the colonies were ruled. This must be taken into account when trying to understand the specificities of mathematics development in the various countries of the region [3].
To consolidate the conquest, Spain and Portugal organized the administration of their colonies into Viceroyalties.
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- Publisher: Mathematical Association of AmericaPrint publication year: 2011