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Mathematical Time Capsules Historical Modules for the Mathematics Classroom 1st Edition by Dick Jardine, Amy Shell Gellasch ISBN 088385984X 9780883859841

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Mathematical Time Capsules Historical Modules for the Mathematics Classroom Dick Jardine Digital Instant Download

Author(s): Dick Jardine, Amy Shell-Gellasch (eds.)
ISBN(s): 9780883859841, 088385984X
Edition: UK ed
File Details: PDF, 5.89 MB
Year: 2011
Language: english
SKU: EB-6744496 Category: Tags: ,

Mathematical Time Capsules Historical Modules for the Mathematics Classroom 1st Edition by Dick Jardine, Amy Shell-Gellasch – Ebook PDF Instant Download/Delivery: 088385984X, 9780883859841

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Product details:

ISBN 10: 088385984X

ISBN 13: 9780883859841 

Author: Dick Jardine, Amy Shell-Gellasch

Mathematical Time Capsules offers teachers historical modules for immediate use in the mathematics classroom. Relevant history-based activities for a wide range of undergraduate and secondary mathematics courses are included. Readers will find articles and activities from mathematics history that enhance the learning of topics typically associated with undergraduate or secondary mathematics curricula. Each capsule presents one topic, or perhaps a few related topics, or a historical thread that can be used throughout a course. The capsules were written by experienced practitioners to provide other teachers with the historical background, suggested classroom activities and further references and resources on the subject addressed. After reading a capsule, a teacher will have increased confidence in engaging students with at least one activity rich in the history of mathematics that will enhance student learning of the mathematical content of the course.

Table of contents:

1 The Sources of Algebra
2 How to Measure the Earth
3 Numerical Solution of Equations
4 Completing the Square through the Millennia
5 Adapting the Medieval “Rule of Double False Position” to the Modern Classroom
6 Complex Numbers, Cubic Equations, and Sixteenth-Century Italy
7 Shearing with Euclid
8 The Mathematics of Measuring Time: Astronomical Timekeeping and the Sinking-Bowl Water-Clock in India
9 Clear Sailing with Trigonometry: Navigating the Seas in 14th-Century Venice
10 Copernican Trigonometry
11 Cusps: Horns and Beaks
12 The Latitude of Forms, Area, and Velocity
13 Descartes’ Approach to Tangents
14 Integration à la Fermat
15 Sharing the Fun: Student Presentations
16 Digging up History on the Internet: Discovery Worksheets
17 Newton vs. Leibniz in One Hour!
18 Connections between Newton, Leibniz, and Calculus I
19 A Different Sort of Calculus Debate
20 A ‘Symbolic’ History of the Derivative
21 Leibniz’s Calculus (Real Retro Calc.)
22 An “Impossible” Problem, Courtesy of Leonhard Euler
23 Multiple Representations of Functions in the History of Mathematics
24 The Unity of all Science: Karl Pearson, the Mean and the Standard Deviation
25 Finding the Greatest Common Divisor
26 Two-Way Numbers and an Alternate Technique for Multiplying Two Numbers
27 The Origins of Integrating Factors
28 Euler’s Method in Euler’s Words
29 Newton’s Differential Equation
30 Roots, Rocks, and Newton-Raphson Algorithms for Approximating √2 3000 Years Apart
31 Plimpton 322: The Pythagorean Theorem, More than a Thousand Years before Pythagoras
32 Thomas Harriot’s Pythagorean Triples: Could He List Them All?
33 Amo, Amas, Amat! What’s the Sum of That? Bernoulli’s Account of the Divergent Harmonic Series in Latin
34 The Harmonic Series: A Primer
35 Learning to Move with Dedekind

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Tags: Dick Jardine, Amy Shell Gellasch, Mathematical, Time Capsules, Historical, Modules, Mathematics, Classroom