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Mathematics (Education) in the Information Age

Part of the Mathematics in Mind Book Series

Editors: Costa, Stacy A.; Danesi, Marcel; Martinovic, Dragana

DOI: 10.1007/978-3-030-59177-9

ISBN: 978-3-030-59176-2

Publisher: Springer International Publishing - Springer Journals

Dec 11, 2020

1 - 10 of 13 Chapters

LitStream

Chapter 1The Information Age, Mathematics, and Mathematics Education

Costa, Stacy A.; Danesi, Marcel; Martinovic, Dragana

Pages: 1 –14

[Mathematical texts from across time indicate that the needs of the societies of different eras and different places have guided practices in mathematics itself and in how it was taught at school, responding to the needs and exigencies of each age. In some cases, even new discoveries were seen as...
LitStream

Chapter 2An Unsupervised Approach to User Characterization in Online Learning and Social Platforms

Vilenchik, Dan

Pages: 15 –36

[Making sense of data that is automatically collected from online platforms such as online social media or e-learning platforms is a challenging task: the data is massive, multidimensional, noisy, and heterogeneous (composed of differently behaving individuals). In this chapter we focus on a...
LitStream

Chapter 3Argumentation Is Elementary: The Case for Teaching Argumentation in Elementary Mathematics Classrooms

Krpan, Cathy Marks; Sahmbi, Gurpreet

Pages: 37 –52

[Navigating the information age successfully requires that consumers of data assess and critique the validity of its content and in doing so, create a logical argument that supports or refutes its truth. Furthermore, the skill sets and qualifications expected of the workforce no longer consist of...
LitStream

Chapter 4Subverting Stereotypes: Visual Rhetoric in the #SheCanSTEM Campaigns

Danuser, Deborah J.

Pages: 53 –64

[The Ad Council’s “She Can STEM” (SheCanSTEM.com) campaign works to promote science, technology, engineering and mathematics (STEM) to girls by subverting the culturally-dominant stereotype that the fields are masculine endeavors. This study examines select "She Can STEM" campaign images to see...
LitStream

Chapter 5Graphical Literacy, Graphicacy, and STEM Subjects

Costa, Stacy A.

Pages: 65 –72

[Ever since Descartes invented analytic geometry, graphs have become integral to mathematics and science. Graphic literacy is even more important today, as students are exposed continuously to graphic artifacts; as a result, discerning between all kinds of graphs and scientific ones is a critical...
LitStream

Chapter 6Mathematics, Statistics, and Sports

Nuessel, Frank

Pages: 73 –90

[This chapter defines and discusses several basic terms related to the topic of teaching mathematics and statistics, i.e., mathematics, mathematics pedagogy, statistics, statistics pedagogy, mathematics and statistics, mathematics anxiety and statistics anxiety, information, pop culture and its...
LitStream

Chapter 7Travels with Epsilon in Sign and Space

Kauffman, Louis H.

Pages: 91 –111

[This paper is about the relationship of diagrams with mathematics. We study the linking of mathematical fields by examining first a diagrammatic for vector calculus, and then showing how it works and why it works by relating that formalism to the question of coloring maps and graphs in and out...
LitStream

Chapter 8Experimental Mathematics: Overview and Pedagogical Implications

Danesi, Marcel

Pages: 113 –125

[In 2011, the TV quiz show Jeopardy featured two human champions competing against IBM’s Watson, an AI system designed for the event. Watson won the match by a large margin. Then, in 2017, another AI system, AphaGo, beat the world’s Go champion with a creative move that was previously unknown,...
LitStream

Chapter 9Why the Basics Still Matter: The Cost of Using a Machine to Do Mathematics

Gollish, Sasha

Pages: 127 –141

[Remember the joke 1 + 1 = a window? If you rearrange the numbers and symbols you can draw a simple window. It is a playful answer, and quite creative. This creativity based on playfulness is commonly missing these days from mathematics courses. Dan Finkel (2019), founder of For the Love of Math,...
LitStream

Chapter 10Syntonic Appropriation for Growth in Mathematical Understanding: An Argument for Curated Robotics Experiences

Francis, Krista; Khan, Steven

Pages: 143 –169

[In this paper we argue that a well structured robotics inquiry can lead to what Pirie and Kieren (Educ Stud Math 26:165–190, 1994a; Learn Math 14:39–43, 1994b) called growth in mathematical understanding. In particular we offer that such structuring is a means to encourage processes of syntonic...

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