Mathematics Teacher
Cumulative Subject Index for 1986-2000

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Number Theory

3.14156 and All That, Mar 1986, 226-227

252/7: A Divisibility Pattern, Oct 1986, 542-546

The A of a B is the B of an A, Mar 1986, 180-183

Activities: A Geometric Look at Greatest Common Divisor, Mar 1991, 202-208

Activities: Calculators, Quotients, and Number Patterns, Feb 1986, 108-12, 118-9

Activities: Polygonal Numbers and Recursion, Oct 1990, 555-562

Activities: Rectangular Numbers, Oct 1986, 528-532

An Application of Number Theory to Cryptology, Jan 1989, 18-26

Applications: Fast Brakes!, Feb 1989, 104-107, 111

Are the Primes Really Infinite?, Nov 1990, 660

Base Two and a Magic Trick, May 1986, 348, 352-354

The Binomial Theorem Tastes the Rainbow, Mar 1998, 262–64

Can You Guess My Number? Feb 1997, 114–17

The Case of Trapezoidal Numbers, Jan 1996, 16–24

The Chain Letter: An Example of Exponential Growth, Feb 1987, 114-115

Communicating Mathematics, Nov 1991, 615-622

Complex Numbers and Geometry, Dec 1994, 720

Computer-Assisted Mathematics: Computer-Generated Magic Squares, Sep 1986, 471-476

Counting Triples, Triangles, and Acute Triangles. Oct. 1999, 612-19

Cryptographer Alert, Jan 1990, 70

Cryptography: Cracking Codes, Dec 1996, 743–50, 756–57

Cryptology, Dec 1994, 720

The Dating Game, Feb 1998, 172–74

Determining &Atildex with Base-Ten Blocks-Do the Blocks Lie?, Jan 1987, 32-35

Discovering Patterns for Sums of Polygonal Numbers, Sep 1986, 437-438

The Divisibility of xn yn by x – y: A Constructive Example, Apr 1998, 342–45

e, The Story of a Number, Jan 1995, 61

Euclid and the Infinitude of Primes, Jan 1987, 16-17

Even Perfect Numbers: (Update)2 Nov 1997, 628–33

Exploring Prime Numbers on Your PC, Sep 1995, 520-522

Exploring Sequences and Series, no. A-263, Sep 1992, 489

Extending a Fibonacci Number Trick, Dec 1987, 744-747

Extending the Number Line to Make Connections with Number Theory, Sep 1992, 418-420

Factoring Polynomials and Fibonacci, Jan 1986, 54-56, 65

Fascinating Fibonaccis: Mystery and Magic in Numbers, Mar 1988, 228-230

Fascinating Fractions, Oct 1988, 596

Fibonacci and Pascal Together Again: Pattern Exploration in the Fibonacci Sequence, Mar 1998, 250–53

Fibonacci Meets the TI-82 Feb 1995, 101-5 See also Sep 1995, 506; Oct 1995, 544, 618

The Fibonacci Sequence and the Golden Ratio, May 1987, 357-358

Flip and Twist, Shuffle, Snap, and Compose, Nov 1986, 636-638

From Fibonacci Numbers to Geometric Sequences and the Binet Formula by Way of the Golden Ratio! May 1997, 386–89

From the Top of the Mountain. Nov. 2000, 700–703

From Zero to Infinity, 4th ed, Mar 1993, 265

Fun with Fibonacci; or What to Do after the BC Calculus Exam, May 1988, 398-400

Generalized Fibonacci Sequences. Oct. 2000, 604–6

Generating Magic Squares Whose Orders Are Multiples of 4, Mar 1989, 216-221

A Geometric Puzzle That Leads to Fibonacci Sequences, Jan 1998, 21–23 (see also Nov 1998, 713)

The Golden Ratio: A Golden Opportunity to Investigate Multiple Representations of a Problem, Oct 1993, 554-557

Graphing Powers and Roots of Complex Numbers, Oct 1993, 589-596

Graphs: Patterns, Periodic Functions, and Problem Solving, Feb 1986, 99-102

Happy Numbers, Nov 1986, 618-619

How Many Cards? Let's Ask the LCM, Apr 1996, 298–99, 305

Illustration of Si and Si 2 Identities, Dec 1986, 707-710

Images of Infinity, Mar 1989, 226

Infinite Sequences: A Logical (?) Extension, Mar 1992, 228-229

Infinity: The Twilight Zone of Mathematics, Apr 1989, 284-292

Initialization as a Route to Exponents and Factorials, Apr 1988, 274-276

Introduction to Mathematical Logic, 3d ed, Oct 1987, 595-596

Introduction to Number Theory, Oct 1989, 578

Iterating Linear Functions--an Introduction to Dynamical Systems, Feb 1997, 122–26, 132–36

Keep Counting Those Boxes--There's More, Feb 1998, 122–27

The Language of Numbers, Apr 1995, 346-348

Large Integers with Small Numbers, May 1986, 374-377

Lure of the Integers, Sep 1993, 502

The Magic Numbers of Dr. Matrix, Jan 1986, 74

Magic Squares of All Orders, Nov 1988, 674-678

Making the Clock Strike: Some Explorations in Number Theory, Jan 1987, 74

Math of India, Dec 1994, 725

The Mathematical Career of Pierre de Fermat, 1602-1665, 2d ed, Oct 1995, 610-611

Mathematical Topics for Computer Instructions: Grades 9-12, Apr 1991, 326-328

The Method of Finite Differences: Some Applications, Sep 1986, 466-470

Microcomputer-Assisted Mathematics: Exploring Number Theory with a Microcomputer, Feb 1986, 120-122

Microcomputer-Assisted Mathematics:Powers of Complex Numbers, Jan 1987, 63-67

More Digits for Pi, Sep 1988, 480

Multiple Representations--Using Different Perspectives to Form a Clearer Picture, Feb 1997, 164–66

Multiplicative Squares: Magic and Special, Jan 1987, 51-54

Native American Mathematics, Mar 1989, 227

(Naturally) Numbers Are Fun, Feb 1997, 92–95

A New Chapter for Pythagorean Triples, Feb 1991, 144

Not Every One Can Be Perfect, Mar 1987, 236-239

A Number Game-Summing Consecutive Positive Integers, Oct 1988, 548-549

The Number Phoenix: A Summer Awakening, Apr 1988, 315-321

Number Theory, Dec 1990, 749

Number Theory and Its History, Feb 1989, 148

Number Theory and Public-Key Cryptography, Jan 1991, 54-62

Numbers through the Ages, Oct 1990, 578

Odd Factors and Consecutive Sums: An Interesting Relationship, Jan 1991, 50-53

Old and New Unsolved Problems in Plane Geometry and Number Theory, Sep 1992, 493

One Process-Six Outcomes, May 1986, 354-356

Other Numeral Systems-Alive and Thriving, Jan 1990, 17-19

Pascal's Triangle and Fibonacci Numbers, Apr 1991, 314-316, 319

Pascal's Triangle--Patterns, Paths, and Plinko, Apr 1997, 270–73

Patterns in Powers of Digits, Apr 1988, 294-298

The Perfect Triangle, Mar 1987, 232-233

Personal Tutor-Algebra 1: Integers and Rationals, Apr 1993, 345

Pi in the Sky: Counting, Thinking, and Being, May 1993, 430

The Postage-Stamp Problem, Number Theory, and the Programmable Calculator. Jan. 1999, 20-22 (see also Dec. 1999, 779, 785)

The Power of 1, Oct 1993, 549-552

A Power Pattern, Sep 1988, 478-480

Pre-Algebra: A Transition to Algebra, teacher's ed, Oct 1992, 592

Prime Numbers, Jan 1986, 68-69

Prime Numbers, Feb 1990, 167

Prime Rollers, Oct 1992, 594

Problem Solving Series, vols. 1-5, Sep 1991, 492-493

Problem Solving with Number Patterns, Mar 1988, 230-231

Products, 1996, 783–84

Products, 1998, 809

Proof: The Power of Persuasion, Mar 1997, 202–5

Publications, 1995, 520, 522, 610

Publications, 1996, 437, 606, 781

Publications, 1997, 499, 605

Publications, 1998, 187, 807

Publications, Jan. 1999, 70, 71-72, May 1999, 456, Dec. 1999, 842

Puzzles, Paradoxes, and Brain Teasers, Jan 1992, 75-76

Pythagoras Meets Fibonacci, Apr 1989, 277-282

Rational Functions: Ignored Too Long in the High School Curriculum, Dec 1986, 691-698

Reaching for Infinity: Puzzles, Paradoxes and Brain Teasers #3, Nov 1991, 679-680

Reader Reflections, 1995, 176, 178, 258, 329, 436, 506-7, 509, 784-85

Reader Reflections, 1996, 3, 26, 83 (see also Sep 1996, 449, 498, Oct 1996, 616), 148, 149, 179, 182, 208, 251, 255, 291 (see also Oct 1996, 544), 368 (see also Oct 1996, 591, 616), 441 (see also Dec 1996, 790 93), 449, 498, 591, 616, 624–25, 725–26, 726–27, 788, 790–93

Reader Reflections, 1997, 32–33, 65–66, 180 (see also Oct 1997, 570–71), 260 (see also Dec 1997, 766), 312, 339, 479–81, 484, 485–86, 566, 568, 570–71, 581, 600, 611, 674, 691, 694, 767

Reader Reflections, 1998, 68–70, 120, 151–53, 197, 371, 396, 512, 516–17, 618, 620, 648–49, 819–20

Reader Reflections, Jan. 1999, 81, Feb. 1999, 156, Mar. 1999, 250, May 1999, 382, 432, Sept. 1999, 461, 522-23, 527, Oct. 1999, 559, 611 (see also Jan 1999, 80-81), 626, Dec. 1999, 779, 785 (see also Jan. 1999, 20-22)

Reader Reflections, Jan. 2000, 4, 37, Feb. 2000, 139, 140, Mar. 2000, 170, 235–36, Sept. 2000, 526, 528, Oct. 2000, 541, Nov. 2000, 695, Dec. 2000, 734–35

The Real-Number Box, Oct 1994, 522

Recent Improvements to the Sieve of Eratosthenes, Apr 1997, 304–7

Recurrence Relations-Counting Backwards, Sep 1986, 482-483

The Recurring Fibonacci Sequence: Using a Pose-and-Probe Rubric. Mar. 1999, 192-96

Repunits and Repetends, Sep 1987, 496-497

The Rug-Cutting Puzzle, Jan 1987, 12-14

Scope Math: A Computer Mathematics Course for Middle and Junior High School, Jan 1989, 67-68

The Silver Ratio: A Vehicle for Generalization, Jan 1989, 54-59

Simplifying Radicals on a Geoboard, Jan 1990, 32-35

Solution or Bused, Apr 1996, 280–82

Solving Equations in a Technological Environment, Feb 1997, 156–62

Square-Dance Numbers, May 1989, 380-382

The Square-Patio Problem, Jan 1996, 4–6

Star Numbers and Constellations, Jan 1993, 88-89

Thinking the Unthinkable: The Story of Complex Numbers (with a Moral), Oct 1988, 583-592

A Three-Dimensional Multiplication Table Inspires Mathematical Discovery, Feb 1988, 92-95

To Infinity and Beyond: A Cultural History of the Infinite, Sep 1988, 494-495

Triangular Numbers in Problem Solving. Dec. 1999, 820-24

Universal Patterns: The Golden Relationship: Art, Math and Nature, Apr 1991, 332

Using Clock Arithmetic to Send Secret Messages, Feb 1996, 100–4

Using Pattern Analysis to Determine the Squares of Three Consecutive Integers, Jan 1986, 31-32

A View of Mathematics Through a Camera Lens, Oct 1987, 544

What Day Is It? Sep 1997, 450–51

With Everything in Order, Feb 1988, 132-135

Working with Rational Exponents, Jan 1987, 32

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