Math 400 List of "Philosophical" Papers
 

        The following papers are taken from the American Mathematical Monthly. The volume, starting page, and title are given.

82 :       13         Four Panel talks on publishing
83 :     249         The relevance of mathematics
81 :     981         How I became a mathematician
82 :     466         The problem of learning to teach
92 :     170         Algorithmic Thinking and Mathematical Thinking
90 :       42         Any questions?
89 :     289         What is an answer?
89 :         4         The disk with the college education
89 :         8         A down-to-earth view of mathematics
88:     462         Mathematical models: A sketch for the philosophy of mathematics
88:     472         Computer Science, Mathematics and the undergraduate curricula in both
87:     794         Teaching problem-solving skills 95: 414 Celebrating Mathematics
100    365         The Tyranny of Tests
101    848         What Is Teaching?
102    102        Experimentation and Conjecture Are Not Enough
102    589        Fresh Breezes in the Philosophy of Mathematics
103      18        Classical Mathematics
103    134        A Fable of Reform
103    230        Calculus: Reformed or Deformed?
104      48        Math Lingo vs. Plain English: Double Entendre
104    946        The Mathematics Education Reform: Why You Should be Concerned and What You Can Do
104    955        Confronting Reform
105    252        Doing and Proving: The Place of Algorithms and Proofs in School Mathematics
105    497        Two Dual Assertions: The First on Learning and the Second on Teaching (or Vice Versa)
105    640        Mathematics on a Distant Planet
106    720        The Education of a Pure Mathematician
106    800        Effects of Calculus Reform: Local and National
106    910        Reform, Tradition, and Synthesis
106    915        You Don't Need a Weatherman To Know Which Way the Wind Blows
107      44        Start Where They Are:  Geometry as an Introduction to Proof
108    988        Knowing and Teaching Elementary Mathematics, Review
110    886        The Role of Logic in Teaching Proof
111    411        Surprises from Mathematics Education Research:  Student (Mis)use of Mathematical Definitions

        The following papers are taken from Mathematics Magazine.
59:       67         When mathematics says no -
61:     139         Applied Mathematics as Social Contract
61:     220         The centrality of Mathematics in the History of Western Thought
62:         3         Brouwerian Counterexamples
67:     136        A Note on the History of the Cantor Set and Cantor Function
68:       83        Descartes and Problem-Solving
68:     163        Ideas of Calculus in Islam and India
70:     163         Ren. Descarte Curve-Drawing Devices: Experiments in the Relations Between Mechanical Motion and Symbolic Language

        The following paper is taken from Mathematics Teacher.
81:     583         Thinking the unthinkable: the story of complex numbers (with a Moral)

        The following papers are taken from College Mathematics Journal.
28      360         Is Mathematics Necessary?
30        96         Mathematics and the Liberal Arts
30      197         Mathematics and the Liberal Arts II
33      118         Is There Enough Poison Gas To Kill the City?
 


 Multicultural/Historical Papers:

        The following articles are primarily historical in nature or cover some multicultural aspect of mathematics. Those students who are planning on becoming secondary or middle school teachers are required to pick one of the papers from this group.

The American Mathematical Monthly:
101        3        Introduction to Fermat's Last Theorem
101      66        The Evolution of Integration
101    464        How Hyperbolic Geometry Became Respectable
101    674        The Evolution of...On the Calculus of Variations and Its Major Influences on the Mathematics of the First Half of our Century. Part I
101    963        The Role of Paradoxes in the Evolution of Mathematics
102    266        The Evolution of Algebra 1800-1870
102    387        Why Did George Green Write His Essay of 1828 on Electricity and Magnetism?
102    888        A Nobel Prize in Mathematics
103    586        The Development of Rigor in Mathematical Probability (1900-1950)
103    633        The History of the Hand-Held Electronic Calculator
103    729        A Hundred Years of Prime Numbers
104        1        Reading the Master: Newton and the Birth of Celestial Mechanics
104    210        Building an International Reputation: The Case of J.J. Sylvester (1814-1897)
104    261        The Significance of Mathematics: The Mathematicians" Share in the General Human Condition
104    654        On the Historical Development of Infinitesimal Mathematics: Part 2
104    724        Calculus: A Modern perspective
106    534        What Makes a Great Mathematics Teacher? The Case of Augustus De Morgan
107    105        Elbert F. Cox: An Early Pioneer
108      97        Manuel P. Berriozubal
108    489        The Lost Squares of Dr. Franklin
109    105        Words and Pictures: New Light on Plimpton 322
110    177        Clarence F. Stephens
111    465        The Origin and Early Impact of the Moore Method

Mathematics Magazine::
64     291         Rigor and Proof in Mathematics: A Historical Perspective
67     136        A Note on the History of the Cantor Set and Cantor Function
68       83        Descartes and Problem-Solving
68     163        Ideas of Calculus in Islam and India
70     163        Ren. Descarte Curve-Drawing Devices: Experiments in the Relations Between Mechanical Motion and Symbolic Language
71     331       Galimatias Arithmetical
72       83       The Discovery of Ceres: How Gauss Became Famous
76         3       Dr. David Harold Blackwell, African American Pioneer

College Mathematics Journal
25     179        Isaac Newton: Credit Where Credit Won't Do
30     258        The Witch of Agnesi
32     201        What's Harmonic about the Harmonic Series?
32     242        An Interview with Dame Mary Cartwright, D.B.E., F.R.S.
33     2            Was Calculus Invented in India?
33     178        An Interview with Dirk Struik on the Eve of his One Hundredth Birthday
33     266        Spanish Colonial Mathematics: A Window on the Past

Mathematics Teacher:
84        15         A chain of influence in the development of geometry
89      592         Why were so few mathematicians female?
94          9         Gloria Hewitt: Mathematician
94        50         Mathematics in Tribal Philippines and Other Societies in the South Pacific
94        98         The Sumario Compendioso: The New World's First Mathematics Book
94      458         The Most Magical of All Magic Squares
94      590         The Mayan Zeros
96        86         Benjamin Banneker's Mathematical Puzzles

Scientific American:
1999    May     76            Ada and the first computer

Multicultural Mathematics: Teaching Mathematics from a Global Perspective, Nelson, Joseph & Williams
    Chapter 1: A Rationale for a Multicultural Approach to Mathematics.
    Chapter 3: Ten Key Areas of the Curriculum