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, 26264
Can You Guess My Number? Feb 1997, 11417
The Case of Trapezoidal Numbers, Jan 1996, 1624
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, 74350, 75657
Cryptology, Dec 1994, 720
The Dating Game, Feb 1998, 17274
Determining Ãx 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, 34245
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, 62833
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, 25053
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, 38689
From the Top of the Mountain. Nov. 2000, 700703
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, 6046
Generating Magic Squares Whose Orders Are Multiples of 4, Mar 1989, 216-221
A Geometric Puzzle That Leads to Fibonacci Sequences, Jan 1998, 2123 (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, 29899, 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, 12226, 13236
Keep Counting Those Boxes--There's More, Feb 1998, 12227
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, 16466
Multiplicative Squares: Magic and Special, Jan 1987, 51-54
Native American Mathematics, Mar 1989, 227
(Naturally) Numbers Are Fun, Feb 1997, 9295
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, 27073
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, 78384
Products, 1998, 809
Proof: The Power of Persuasion, Mar 1997, 2025
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, 62425, 72526, 72627, 788, 79093
Reader Reflections, 1997, 3233, 6566, 180 (see also Oct 1997, 57071), 260 (see also Dec 1997, 766), 312, 339, 47981, 484, 48586, 566, 568, 57071, 581, 600, 611, 674, 691, 694, 767
Reader Reflections, 1998, 6870, 120, 15153, 197, 371, 396, 512, 51617, 618, 620, 64849, 81920
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, 23536, Sept. 2000, 526, 528, Oct. 2000, 541, Nov. 2000, 695, Dec. 2000, 73435
The Real-Number Box, Oct 1994, 522
Recent Improvements to the Sieve of Eratosthenes, Apr 1997, 3047
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, 28082
Solving Equations in a Technological Environment, Feb 1997, 15662
Square-Dance Numbers, May 1989, 380-382
The Square-Patio Problem, Jan 1996, 46
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, 1004
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, 45051
With Everything in Order, Feb 1988, 132-135
Working with Rational Exponents, Jan 1987, 32