DOI string | abstract string | title string | author list | URL string | year int64 | month string | vector unknown |
|---|---|---|---|---|---|---|---|
10.5951/mt.61.7.0701 | <jats:p>In his interesting article in The Mathematics Teacher in the April 1968 issue, pages 304-95, Earl K McGeehee, Jr., fails to mention one nomenclatural point of considerable importance: A Hausdorff space that is also a door space is a <jats:italic>house door space</jats:italic>.</jats:p> | Letter to the Editor | [
"Hockett C. F. ",
"Augulis Vida "
] | https://doi.org/10.5951/mt.61.7.0701 | 2,021 | January | "Y3Zdf6qrjlwjDZY3b1qU8XH/cdY1I/sh9lNSXbVtzRzGZFpVxsNIVC6Gi5ZTYaSrSI+xR0OOHlNit0ShYFocl/kWI/cWA8mQFLQ0bLI0UvmdGTTA6sgpN4C575s9Jj+Fxys3HfHCjv7kxJLiKy9UE826FCx/R6KQCTdcRbMzDjA=" |
10.5951/mt.61.8.0759 | <jats:p>In elementary courses of algebra and number theory one runs across the well-known division algorithm.</jats:p> | The Division and Euclidean Algorithms in the Gaussian Integers | [
"Jordan James H. "
] | https://doi.org/10.5951/mt.61.8.0759 | 2,021 | January | "SngU/8yhihyBUVM27UK89RbxkEi0Y7MjYHMZbb/17dHG8AJd2uZtXMbe6YXjobapwav1C1OKDlugs0xuA1p+UP2WMcJ6y0gMXP5u6DtiYt2BOyXAFJK47Rg7k2MtBIsZ5i6/nKRRhl7iRZv5NyMUm23uGAr+F/ARaKIWX5szVr4=" |
10.5951/mt.62.1.0017 | <jats:p>In an introductory course for freshmen not majoring in mathematics, I assigned the simple combinatorial problem of finding the number of committees of five that could be formed from a group of fifteen people.</jats:p> | A Hunch and a Proof | [
"Verno C. Ralph "
] | https://doi.org/10.5951/mt.62.1.0017 | 2,021 | January | "o2kcaoiiqp7AWVMX7U5052T1WA8kt7NhJFM3RbXv/33AdDpS2k5tXA6Gy4f2QLjm06/9i1EomgGH4UytQ1s8wHW2I4Tby0iEXLQqaM520s2DeQXgUoaqZJIxkoqsRBsd5Zu/3/xQqt5iRd/3AidUE+32HAp7R7DzWHvWV5Mbyi4=" |
10.5951/mt.62.1.0048 | <jats:p>To Give an entire account of the teacher preparation in all countries would indeed be a lengthy process, the writing of which would require several volumes.</jats:p> | International Mathematical Education: The Education of Mathematics Teachers in Other Countries | [
"Fehr Howard F. "
] | https://doi.org/10.5951/mt.62.1.0048 | 2,021 | January | "ikhF/Sqivl4Yi4VX31KVzRfvlMudo/8ZoHt+TrvvtBjG2HrfokPI2CqGQQL386Dhew+94PcKyN+md2ZowWCeFnCWEeeej02sGL4mbBLyw1OxqTUk5vBoZJgJ/6I4gLuJ5rO8l9zQh9zjxJPiBxbEI8/ECItnQpCPQbaUgbE61rs=" |
10.5951/mt.62.2.0091 | <jats:p>The intuitive but somewhat vague idea of the shape of a curve can be formulated precisely in an elementary way that would seem to have a natural place in plane analytic geometry. The formulation of such a definition and the systematic investigation of the resulting mathematical structure should constitute a val... | On the Shape of Plane Curves | [
"Dotson W. G. "
] | https://doi.org/10.5951/mt.62.2.0091 | 2,021 | January | "pmEYfwiKKJjQWdNz/UKUWUVtxJe0m7MZRFd0nRW/71DvYGJVSoBI2i6fu8VQwLbDyY71q0OIDkUoqFrlQEicV/mWA+Qbg12MGL7GTNMmNt2ZuT3ABoGIKr0540OpBJ6JQTp/P/bTj+6zxJP75aXEQk/OgCx/P8PwDJaCVr5bLj4=" |
10.5951/mt.62.2.0097 | <jats:p>One spring my twelfth-grade analytic geometry students were restless. They were surfeited with the bite-sized pieces of theory parceled out in their text. What they needed was an interesting problem whose solution would require them to organize and fit together some of the facts they had been learning. This req... | What Points Are Equidistant from Two Skew Lines? | [
"Forsythe Alexandra "
] | https://doi.org/10.5951/mt.62.2.0097 | 2,021 | January | "4/MdfyiqOZjg2dO37Vr0+WZ5tBO0x5JBBHFz332/71hOdEsdysbpXo6HK8fy4rbjwY41ywOMHk+IqE/lABP8Av20AYUT4lyMWLwk6LdmcsmBeTRBToCoKpy5wlusBo6I5Y//HfVSr/7iRRf7pq8WQ0/TBCx+B9NwXD4WdpI7yi4=" |
10.5951/mt.62.3.0241 | <jats:p><jats:italic>Discovering Modern Algebra</jats:italic>, as the name implies, has for its emphasis discovery rather than exploration in depth. As a matter of fact, the author in his Preface says (in part), “As an undergraduate I always treated with suspicion a mathematics book containing the word ‘elementary’ in ... | Reviews and Evaluations | [
"Eakin Richard R. "
] | https://doi.org/10.5951/mt.62.3.0241 | 2,021 | January | "omAc/wumq44AGdM3TUMd8VT5YMi9lbMjdFMWXZWv7/jC0FsfToJIXi6ViM/yoLajQa/xn1eOnnGov0wkc1pc1P2Wo8BW71ycHLymbG9mY9eZ+R3AevGoaJi46oMkJK+NRyO/PqFajnryRZ/zpy8Ek1/q3Cl/X4AQQTLUeboyTjY=" |
10.5951/mt.62.4.0321 | <jats:p>The need for adequate programs of continual growth for teachers has long been espoused. Several theories have been advocated about just what should be included in in-service programs, as well as about their duration and organization.</jats:p> | In-Service Education in Mathematics: Student Mathematics Achievement as Related to Teacher In-Service Work | [
"Whitmore Edward H. ",
"Norris Fletcher R. "
] | https://doi.org/10.5951/mt.62.4.0321 | 2,021 | January | "iksUXACmslRYu8Y3XXGVzYfnh8LUs/OZYFd0f7HUtFjGsBpfDkpJ2GaHjwv3Y6TpeU48hHeMitesd86lwGraVXm2B+Ady0nsib1kbJp2ctWZCTxA4uMo9BCL/lKsIouZ5pY3v7DUx/TDxNfiByZUIk3amoh3R5GBSTNeRbFXRrw=" |
10.5951/mt.62.5.0361 | <jats:p>Kemeny, Snell, and Thompson1 give as an example of a nonintuitive probability the “matching-birthdays problem.” Briefly stated, the problem is to determine how many people there need be in a room in order that the probability is at least one-half that there are at least two people in the room with the Same birt... | A Classroom Illustration of a Nonintuitive Probability | [
"Kleber Richard S. "
] | https://doi.org/10.5951/mt.62.5.0361 | 2,021 | January | "42VM/omnDx7CKZP37XL1/VTlYWAUB7fhdFUTxbXtt13EdAp1as5tVIQWu6fyIrTn1AbZihMMGs9Cok67cUN8gfmUAvT5w0CEHLSwaPgm0p2NMxZAWoiqKAGDtJIsBD6Yzbs///LEqnryxZ/3Mi4WI83yHCt/xpPxTGKWRZKLBq4=" |
10.5951/mt.62.5.0363 | <jats:p>Superstitious or not, the problem of how many times a Friday-the-Thirteenth appears in a given year has the following elegant solution.</jats:p> | Friday-the-Thirteenth | [
"Bailey William T. "
] | https://doi.org/10.5951/mt.62.5.0363 | 2,021 | January | "Y+VcbIrgizpJ3deSdSL05VLJf8N0MzfJYFNfx5Wtt/zmMItWT0pJUtIWnwFjoLTqAYjdimGqCs/i6m4dQ0IcgP0UFYCwT2AMHLykaNp2brWN+QbAIoCsfhk7/3YsJru5zS6/tMYUql6wRBajukxUi13OHK5/VvOxWvac5YIDRrw=" |
10.5951/mt.62.5.0399 | <jats:p>Here is a two-page article each of your students and colleagues should read.</jats:p> | Have You Read …? | [
"Peak Philip "
] | https://doi.org/10.5951/mt.62.5.0399 | 2,021 | January | "8l6UXSigsV7V2YfzH2idXUf31UvUArMlNhF+dpHv9HnFkApfQspJXiqPqQv2YrSjYcu11GGsjsFld2Yk4EKYA3WWC8MezkGsGbwLZpB20tmrCQ2hOuC85JgY/0KsALOJo4G2H57Ui3zC1ZezF4h2E91s3g57Q6BxSLOWxRt+ajw=" |
10.5951/mt.62.6.0467 | <jats:p>It is generally agreed that good teaching of mathematics encourages the student to create and investigate original problems. This article was motivated by a study of prime numbers, and illustrates how familiarity with a simple property of numbers can lead high school students to original research and hence to a... | Computer-Oriented Mathematics: Prime Triplets | [
"Koetke Walter ",
"Hirsch Joseph "
] | https://doi.org/10.5951/mt.62.6.0467 | 2,021 | January | "7+qEf4ugLpoARdN3rVOUdVbhhEBUk4MLMHEZfb+1p1nGkFtdiq5pUqaWiYfzYa6HUIyxglOOincvu14vYFLaUv0UI6N+w0iEVJqqabpiQsWNaS3AUrGsKROo9kKsZLNIZr8/nudQp2pjxZv9pS8Ugsyqmih/lZHSSTqSxbpzCj8=" |
10.5951/mt.62.7.0537 | <jats:p>Before a newly written question can appear on the Level I or Level II Mathematics Achievement Tests administered by the College Entrance Examination Board, it must be pretested with a sample group of several hundred students. Such groups are carefully selected for their similarity to the populations taking the ... | Pretesting for the College Boards | [
"Stover Donald W. "
] | https://doi.org/10.5951/mt.62.7.0537 | 2,021 | January | "pXENf4lgLhyAQYeW7VIUxVXllEA0vbNpVFE7fdt39PyiMDAU2spsmg6H2cMXcKrhGg61S1OsCltioFpsQGAaE/2WO6efgVgEXLwyYOpmUoO9GS3IcpC8RJk1/yOtArPLYqad/vTQr1rDxJvoIS8mgt2uGgtrVxKxeHLWDZOaRqQ=" |
10.5951/mt.62.7.0579 | <jats:p>There are probably very few teachers of mathematics today who have not been asked at least once the question: “What is the ‘new mathematics’?” In an effort to build an informative background on the evolution of mathematics as a serious study in our schools, one is almost compelled to review at least four period... | Historically Speaking— the “New Mathematics” in Historical Perspective | [
"Eves Howard ",
"Wren F. Lynwood "
] | https://doi.org/10.5951/mt.62.7.0579 | 2,021 | January | "9msUfwgmD14g1Jn37VG99UbphUU1t7MBFHdEX7W1pNnGcFMdS8fonCyGqcfywLyh6w+1iyMMivfAt85sUAGeRv2UMacSR0iETLYurLtiU9+FeRzA8qmo8Bg8+gMtBr6YZ4O/vvHRh/zjxRdx5KcEIs/unCh3X4OSaH6UZZMqIj8=" |
10.5951/mt.68.1.0018 | <jats:p>What is mathematics? For many secondary school pupils, it is solving equations, evaluating determinants, using synthetic division, or finding a derivative. All too frequently what the student does is more closely related to bookkeeping than to real mathematics. Perhaps this is why we have so many prospective ma... | Sums of Consecutive Positive Integers | [
"Prielipp Robert W. ",
"Kuenzi Norbert J. "
] | https://doi.org/10.5951/mt.68.1.0018 | 2,021 | January | "y3gXfQomKZqAVdc271Kd9UTDpIS8M5MhdHFWbZev/tnC0FMVyofoHq6fCcPx4KaLwY+5g2OOCGHjpdxqbRraVbWUI+Gey0mEHL6A6PtkccyJYTnAMqioaBmp80EsJpsZRzo/HvRTz37yhB/1BLnUmo3OHil/U5LRGR6VdZo6Rr0=" |
10.5951/mt.68.2.0144 | <jats:p>It is often assorted that the mathematics student who has been led to <jats:italic>discover</jats:italic> a generalization is more likely to understand, appreciate, and retain it than the student to whom it is presented in an expository manner. If this assertion is true, even for a limited class of “readily dis... | Using Discovery in the Calculus Class | [
"Shilgalis Thomas W. "
] | https://doi.org/10.5951/mt.68.2.0144 | 2,021 | January | "626MfgqmJ5xBidN3zVuU/VdJZEFdl7MBNFUSf7X/51nGcHNVb8NIXiyXiYfzYbCjVI3wjuGOmlMot04kZEr6VPEQK8DYz1yAFLqK7DJme5mdKSXAdqmoIJG79wOsJruIxic/P6TSj2jixJ+1pS2Wos3uhgt/36AQSeqUXLMbTjw=" |
10.5951/mt.68.3.0246 | <jats:p>The eight-marker puzzle is a variation of the ancient game of checkers, but it is played on just one row of squares. Playing the game helps students develop problem-solving ability and gaming strategy analysis.</jats:p> | Recreation: Eight-Marker Puzzle | [
"Spaulding Raymond E. "
] | https://doi.org/10.5951/mt.68.3.0246 | 2,021 | January | "0HAM7YiGqdgAncMX7cPV/XV9kE50WaFHdHMefV3nv1nGYAIU2q8sXByWufHn47CmqZ61gkOgiiMCpVQvl1t8ReEUEYO+xACuXPIEaClmvt2peUTgEqOo5Zkx68OlArqd74+/dbVSpj7iR5/xwm10EGyugA57b7FxeL7WXLI3Tqw=" |
10.5951/mt.68.4.0265 | <jats:p>One purpose of teaching mathematics is to provide students with abstract models that will help them to analyze the phenomena that surround them. The greater the number of situations to which a model applies, the more fundamental it is, and the more useful a part of the student’s repertoire. Therefore a concept ... | Partitions in Algebra | [
"Jacobs Claire C. "
] | https://doi.org/10.5951/mt.68.4.0265 | 2,021 | January | "82kMfoqiLd4AWNMX7VO9fRbhpkQ0F5MBdHESXZf/rRnGcFJdy8ZoHgQVeYdzA7zv2o6Ri1OMGnmCo1zkZVqeQPEUK8Bax1SE1LokaBlmcs2BCSzAUoioIJm5+oM8Bp9Yx4c3/vbSy3zixZ79ZXUUg8+eECh/W7PQTDLWV5NzJr8=" |
10.5951/mt.68.5.0356 | <jats:p>A sequence of ingeniously simple lab-style investigations reveals deep principles relating area and perimeter with important applications.</jats:p> | Experiments Leading to Figures of Maximum Area | [
"Moulton J. Paul "
] | https://doi.org/10.5951/mt.68.5.0356 | 2,021 | January | "4vlUbYjmuBrACdO+fUrdJAbxREDUq9EJFFcy+VH3913slAqdQsRPWgYca4By4LblpU71AUGMigfoIkKslXt49Z0WIeNxxxCcGfpAaHtycNiFPyzgVoK7rJoVjxKoBpvYRz83vcJAjmzzRNv7J6cWA83zGg1/R5FRWSpSTpvzTj8=" |
10.5951/mt.68.5.0395 | <jats:p>This article includes sample lessons that illustrate how to discover a relationship and then prove that it is correct.</jats:p> | The Circular Geoboard— A Promising Teaching Device | [
"Hutcheson James W. "
] | https://doi.org/10.5951/mt.68.5.0395 | 2,021 | January | "we1E/YjkuxhAiddWfUqcbUzNxMrQs7OFdDtafzX3103kOEhdSkt1XiaOK4LTY7TjgY71okGojLcMq2JMQFV6dq22E+FF71GMCLiEeH42wtzFOxXg8qCs6BkQr/LtBprIx+8/v5bRh3iiRJ/gIi9WCt3SmgB3R7FwTbrUzroTPj8=" |
10.5951/mt.68.5.0420 | <jats:p>The American team placed second in our first participation in an international mathematical competition.</jats:p> | The Sixteenth International Mathematical Olympiad and Some Implications | [
"Greitzer Samuel L. "
] | https://doi.org/10.5951/mt.68.5.0420 | 2,021 | January | "B/AUaqiStd6IVcb2bUqdfW398FITp7NpVFM7fbN+r13AQAIXSIbsHSCUKVXwY6zu8qqRAnGqXkHnI2T4AlmRAP0WsMNaTsq0XL0wSvlmAp+R6RUAtoCoDYq5ogcfILHP4Ii+35aWpNjTzR/8Im8UMs7OHiN/WpbzWLLeHzI6Kzo=" |
10.5951/mt.68.5.0433 | <jats:p>An approach to finding the rational roots of polynomial equations.</jats:p> | On Improving the Efficiency of the Rational Root Theorem | [
"Liberi Albert W. "
] | https://doi.org/10.5951/mt.68.5.0433 | 2,021 | January | "bfG97gqAgZ5oeVMfdXNIfQZZ9Fu9s7OzUFcR3TfH7lHLfAkeygZtWE6PycHX4bSrAYn9j0GunHWsoXGtIkoYWAmmAcA2w1mMGv2kaCfmZtWJeRXAPKCo7ho730MxhYvN5iL+HJRVj26yBJ3pAn9UA13qnAh/F5FzRpKEj7J7Zj4=" |
10.5951/mt.68.6.0479 | <jats:p>Ten specific suggestions for motivating junior high school students to learn mathematics.</jats:p> | Junior High School Mathematics: Motivation vs. Monotony | [
"Sobel Max A. "
] | https://doi.org/10.5951/mt.68.6.0479 | 2,021 | January | "w3gXf4qknx4E0ddW71qV3U79xGaVk/N5NHM/TZP/rBnu0BoeygLoDKiPiYL3Yqbr8Q4xxkOKSlFvZeo+ZUL6UjGUC8G/QkCMHJzsaItmQ4WJKQXAUsCsbBnp2xIpAIuZRhB/vrZVi14DQBftDn/0mgziiih/ArM3eTuWRJM3Yr0=" |
10.5951/mt.68.6.0515 | <jats:p>This geometric interpretation of factoring the sum and the difference of two cubes should prove interesting for algebra and geometry students.</jats:p> | Using Cubes for Factoring Cubes | [
"Metz James "
] | https://doi.org/10.5951/mt.68.6.0515 | 2,021 | January | "U3IM7IqAiNiAUZO33V6182V58Aa0Q7NpFjNr/V+/79Hm4AtcygfoX4wV69XxoZajwA51h1GsDEVMoFwtRnp+ADG1AcIX5lyMEPoE6LJkdt3ZOy3AdpCpKhkwg0M9BPuJhSW/vvXTplryRR/7Fv9SUk3aji1+XaNyDKLNf5s7qjo=" |
10.5951/mt.68.7.0594 | <jats:p>A meeting in a Moscow museum.</jats:p> | I “Found Well” | [
"Cunningham Helen "
] | https://doi.org/10.5951/mt.68.7.0594 | 2,021 | January | "sTkFf6pntnqBqdd30Ur5l67vsNVck1qhdFt2T3msPPzAwXsc1kTOV2KFW0rXcKCj2k71wyesTIfjcuQg0UlkAD2mAvqWDQCMGbUcqMV2EOmJbTyywkS8FJlZ34ssAbGdhH++mzTQj8y2VTfiJm+Gg8+/BAN7U4JY4ZpUTbsqZ7s=" |
10.5951/mt.68.7.0598 | <jats:p>Whet the problem-solving appetites of your mathematics students with these excursions into the deductive thinking of mystery reading.</jats:p> | Detective Stories: An Aid for Mathematics and Reading | [
"Crouse Richard ",
"Bassett Denise "
] | https://doi.org/10.5951/mt.68.7.0598 | 2,021 | January | "72gU76rgiT4EUdM39VKQVVV7tEG5l7MFMFMWdb//7lnusFpcW6tpXk7XCYPz4LyjbY7xEkeIiv8Mu1wtQ0L4QPmUIqM+ywOMFLqsbDtwUt2JOW3AZtGsqDEjvwMsJorJ5y+fzfTSg3rzRx/3J69Uwl3OHCp/X7NwIeKURhM7yqw=" |
10.5951/mt.68.7.0612 | <jats:p>Here is an interesting approach to the problems associated with medians, altitudes, and angle bisectors in a triangle; teachers and students should find this an informative addition to the usual geometry course.</jats:p> | A New Look at the “Centers” of a Triangle | [
"Lightner James E. "
] | https://doi.org/10.5951/mt.68.7.0612 | 2,021 | January | "5fAcLyqoqZSBWdf23UqVbVT3IE+0EzMhlHM33df17FGPYEpdSoJsWs6Gu8dzobXmQY7xh0OMnAWIoRxtRkK8Av20gccaJxyMGLxmaNNk99mJGWXAFoH4ZLk5ztUohYuoRyx/vvRSh34CRJfxJqcWI8/HDix71/NwTN/W/JIz+i4=" |
10.5951/mt.69.1.0028 | <jats:p>The U.S.A. Mathematical Olympiad, now in its fourth year, has, to judge from the correspondence we have received, attained an enviable position in the world of secondary school education. Recommendations from school officials on behalf of superior mathematics students increased markedly this year. Participation... | The Fourth U.S.A. Mathematics Olympiad | [
"Greitzer Samuel L. "
] | https://doi.org/10.5951/mt.69.1.0028 | 2,021 | January | "lWAUfou2vQ6QXaeS5XoUuzX9tHJU9/MLRdMzdfdm9/1KcBIU3i7uFSKHiVv3QaKn+QrxGnOoigMm4VxpY1HQAH2UEtGeTEmU3L9GaJlmE0WJaRfAMsG4jRhZv8IsZreZ5gi/v7LSp37zxJPoKUYEktz+mCp/XpLTSHbOQLIqB6o=" |
10.5951/mt.69.1.0045 | <jats:p>What activities are available for the mathematically talented students in your school? Do you have a mathematics club to discuss unusual mathematical problems? Many states have mathematics contests, such as the Annual High School Mathematics Examination, in which a simple general test is given.</jats:p> | Mathematics Contests and Mathletes | [
"Flener Frederick "
] | https://doi.org/10.5951/mt.69.1.0045 | 2,021 | January | "33gVdAoksR6ARdeWbVqV/V1rokMdk4MBFFMb7b+39NnCcBpV2u+omQqO6IPxY6vp0Arxi1eESEcGMV52YUPYUHGWApEORkmgXJ4OaPhmWtWpaz3g4pG4RRip70MsZqvJ4g6/3vbQqXyjxBL5oncEo0yOigl/H7LRaXKWVbLKbr4=" |
10.5951/mt.69.4.0289 | <jats:p>An isosceles triangle can be a source of many ideas. How many isosceles triangles ca11 one isosceles triangle give birtlr to? Read the article to find out.</jats:p> | Isoscelesn | [
"Ranucci Ernest R. "
] | https://doi.org/10.5951/mt.69.4.0289 | 2,021 | January | "w+LcbJqAqFxQ3Vc2z1rw32Tp5N20P5dBVHFi3zX37jHGZBrVSqN8Xu6Xn4PT4Lb/yA73hlOCDOXK/xothOL8ZJm2AbGYgBi8DL0GaNM0qdnBeZcBBoS+YFi53VcshIy5QS0/v/ZDp36CxhfzvikUqk3eDCZzx5PwWdcEVIuTbmw=" |
10.5951/mt.69.5.0390 | <jats:p>Senior high school mathematics teachers will be interested in reading how this teacher provided individualized instruction to students that were mostly of Latin-American cultural background.</jats:p> | Individualized Mathematics—A Simple Approach | [
"Osborne Ursula "
] | https://doi.org/10.5951/mt.69.5.0390 | 2,021 | January | "zfCU/5okvwyAwYdXzVqUTVXvhkU9u5ONMHMiXZv0/F3iMBpey8ps0CiHScL34bDjKVzlineIitust+YkRGr6AGGdC+Yei1CEGL8k7Dh2WkmxCRXgZtH8vJhZ7lKohK5N5oa/ntxRt3DDaZvgJu0Ugk3kjCp315FxSSLWyLtywrY=" |
10.5951/mt.69.5.0402 | <jats:p>A logical explanation for the cube root algorithm through discovery.</jats:p> | A Discovery Approach to the Cube Root Algorithm | [
"Bolduc Elroy J. "
] | https://doi.org/10.5951/mt.69.5.0402 | 2,021 | January | "RfEMbopEitrBiZM/fVKc/QR51kX0I7NDUGcbf7f/71HGcANdSkptXkYfIdX3obanxc78j1WMGveIiHKsYmh5UBWWIcByw1CMlLioqDomRp3New2AXICo6JmxoxSch/uIxqe/vOaArn7yRJv5Nz5UC13qnAp/BjJifqLU74obBr4=" |
10.5951/mt.69.5.0408 | <jats:p>A descriptiue analysis of a balance scale in use</jats:p> | The Subtle Scales of Justice | [
"Lepowsky William L. "
] | https://doi.org/10.5951/mt.69.5.0408 | 2,021 | January | "09EIXoqQi17BmNe1XWLd6WxlQe2UsbMJbFdw15P+5FzO8CIcakddmSKSu0X/4aajQc71g1mMjIugq9ihYEBICUkcEUKezlCMDL9EfrH2N5S5exXBorPfXJgp79IZBxLYlgI1PPZkinyS1Jf0c1oWG42CmC59C5GiLDKW3Tkadr4=" |
10.5951/mt.69.6.0469 | <jats:p>This article illustrates how an amateur mathematician found a formula to generate perfect numbers. This method can be used to suggest a creative assignment for high-ability students.</jats:p> | Discovering a Formula That Generates Even Perfect Numbers | [
"Pasquali Giorgio "
] | https://doi.org/10.5951/mt.69.6.0469 | 2,021 | January | "43qMf4qhih4hSdO3/V6cUQdptEC0M4MLBHEXf5Glf1nmcBpcWobo1IRfyYPzYbanYY/1glOKCl2uglosY0LdQT0UIcdXx0CEHJysaNp2YtXBeTXAEpCoQFup90YsZJuJ5i+/nJYQtn6yRZv5iDXUi8/aiAh/V5PxXiKW65obbq8=" |
10.5951/mt.69.6.0495 | <jats:p>Beginning perhaps with Newton in the seventeenth century many brilliant thinkers have attempted to express the observable behavior of the physical world in the form of relatively simple mathematical formulas and equations. Frequently these equations are “differential equations.” which relate the position of som... | Dynamical Systems: Birkhoff and Smale | [
"Kaplan James ",
"Strauss Aaron "
] | https://doi.org/10.5951/mt.69.6.0495 | 2,021 | January | "bnscf5rCKN5E0NO3XXP4dQfDNEc8d1O5RNVVDZdn9lnO0BNVScBJXMYP6WQx4rLjygmZi9eO2lurvF4kaENPHrmWIcdWw+qcGLwibJlmMsjBI5DAMoGJKjiY4UOsBqqBgjs3n6ZwhebyVRfzknsUS0/aHiV/W5IzR5/Vzdob9qo=" |
10.5951/mt.69.6.0517 | <jats:p>The Spirit of '76—a familiar expression this year as the United States celebrates 200 years as a nation. During these 200 years, Americans, from diverse backgrounds and experiences, have had the opportunity to fashion their own lives and the life of their society. Their Bicentennial is a recognition of two cent... | Your Council at work | [
"Glenadine Gibb E. "
] | https://doi.org/10.5951/mt.69.6.0517 | 2,021 | January | "EsZUfggivx4SKEe32Uq1LWil08NUM/MDdBNeTxH1tNzscFo/zgxJl2KEmQs1cr6qEBv1knc+iuPhu85ogxAMBGmUAeocxmCMDLzEfPdy01ehLQTgIkTp9Ri5/tINRLKd15m9n/iUg8jn1Jcipi4WgU2uli53ZZLjTNYX1zEyTik=" |
10.5951/mt.69.7.0542 | <jats:p>Activties with spinners lead students to a better understanding of chance processes as well as provide a simple model for the weather.</jats:p> | The Weather as a Markov Process | [
"Hoffman Nathan "
] | https://doi.org/10.5951/mt.69.7.0542 | 2,021 | January | "ymgG75KguF5B1ZbSnXPdTVXjAEYYOZMdNHNabx/291mE0EpdBqVNGxyKr6C1Yr7r4gjUi1GtTkMKL0wkY0JYcXEWA2UfxkGsGP/Gbnly0MmpC0Tg9oOsrRmB5tKtYpKIzh8/1raXi37CRJV7omVUEow7mixbT7K2KQrWxJOTZr4=" |
10.5951/mt.69.7.0584 | <jats:p>Some numerical drill and algebra wrapped into an intriguing exercise.</jats:p> | A Special Way to Remember July 4, 1776 | [
"Hiatt Arthur A. ",
"Dichiera Debra A. "
] | https://doi.org/10.5951/mt.69.7.0584 | 2,021 | January | "wXAM/wogqJ4BWdc3fUrU9VV5tEG1s7OxdHMZfZ3v/1zi5BJUywZoXIyXycF3oabjwQvxg1OKjEuIonzoQWt8QX22ocM2ywiOHL4MaHtmYsWJewXAMpCp7tgxmwMNBpuIzj6/vOxQjn7yRJvzIS/QC13GnCp/X5NxaRKGfZIyX64=" |
10.5951/mt.69.8.0657 | <jats:p>Carefully selected games can help students win at mathematics.</jats:p> | Games in Senior High School Mathematics Classes | [
"Gilman Sister John Frances ",
"Rowe Sister Joan ",
"Hildenberger Sister Mary Frances "
] | https://doi.org/10.5951/mt.69.8.0657 | 2,021 | January | "8XgE+4qSiYyAUccX5Vqd/RV/tEaYm5MhNDEbfZ/z/x3i0Eoc2oesWLrOqbPjY66nYA61A0OPCjdkoVhoYVvQQXEUMcN+4gCsXP6saDlu9xWpaQ1gNoC4ZBlx/0OlBpMJRg+9fvZSuHrDQp/5ITWUggyOiih/f7MTafLWTbI3YqU=" |
10.5951/mt.69.8.0665 | <jats:p>Here is an old trick explained and extended to decks of any number of cards your students may select. This can he an intriguing way to wrap up a unit on modular arithmetic.</jats:p> | An Old Card Trick Revisited | [
"Felps Barry C. "
] | https://doi.org/10.5951/mt.69.8.0665 | 2,021 | January | "43ic/YrijxpAWdK37RCVlXZrssQkk/cLNHMSNR3w7QnM8EKdX6ZpGC7XCYPzwb6nga7xk1GODJunCVxpYUp8RemUMcMaw0QkFPq0aHg0L83JeSXgYsEoLRgh/5KsBpq4xy+/ffbQnn7iFZf9rKVEOn3KnCp7V7KRybrU37KTCr4=" |
10.5951/mt.70.1.0052 | <jats:p>An easy-to-play card game that provides drill for junior high school students.</jats:p> | “Zero”: An Addition Game With Integers | [
"Miller G. Frank ",
"Jeffrey Maurice "
] | https://doi.org/10.5951/mt.70.1.0052 | 2,021 | January | "8Xgs+YqisR5AUMcX7aadfS3tlMSdCfdhNmMVbZ3ubpnQ0Eoc3i4sSDbVu6Dz46yq4Q+1k0O7DLNjYdpuQ0JQUXGWKYJfQkAsHbQMavsm0BSpKQ1gsoOpRRgL38I9AjPZxC69XjaVumyDU5eoq0+UE62uni5/d7DRebLWX7cXxrw=" |
10.5951/mt.70.1.0067 | <jats:p>Classic summation formulas come to life with elegant geometric models.</jats:p> | Completing The Cube | [
"Turner Barbara "
] | https://doi.org/10.5951/mt.70.1.0067 | 2,021 | January | "6vEc/wqiiRwAUBK7dWq0YUVp5EC0D5MdUEdRfbW//1TnUAJdTyZJnuYX6/Hh4LWhpQr5i1OMGs/scXx8AGpeRD0VIcBXw14MFL4EbZ9kZt3h+Y/gdpC5CBgz40IJBbuZxqO3m/5Yj/9SRZ/ztmYGS8/ehKx/X4PwSeKUG5o7Pro=" |
10.5951/mt.70.3.0229 | <jats:p>A report on a successful experiment to provide for differences in abilities, backgrounds, and career goals.</jats:p> | Student Attitudes Toward An Audio-Tutorial Course in Precalculus | [
"Mayes Vivienne ",
"Brigham Lucille ",
"McNeill Sarah Virginia "
] | https://doi.org/10.5951/mt.70.3.0229 | 2,021 | January | "UVgFS4qgsl7UCIf3X0rdyHXFxMtVu/MpdlF66RPl9J3gGBocQshu0CKXa8PzYqbvcc+1glWsjBOuZkoowHCYEVUWGePazlWuGLwAaJp2EpG5aRWg8sS8JJiW/FqtILGYwBk9nt6QiljjRJ/kKB/Wgt0gyg9/bZHxWDLGjZDbZr4=" |
10.5951/mt.70.3.0234 | <jats:p>A fresh way to stimulate arithmetic practice and the exploration of number patterns.</jats:p> | A Product of Our Times | [
"Greenwood Jay "
] | https://doi.org/10.5951/mt.70.3.0234 | 2,021 | January | "w3gUf44gqx5BQJc3fVr0RVRpwMX9k6eBcHMTZ53/71zmcBIc26oonCaWyYPz46ahCYj1g1WOChuq48wuREp4UfU0IYH3z0GuDb4EaHrmcN2peSXAloGoZZml91KtJpPY1je9//TUjnzzRJP7J3cUm03uiCh7V5PRaTqGTZo6frw=" |
10.5951/mt.70.3.0244 | <jats:p>An interesting geometric model has some surprising applications.</jats:p> | The Orthotetrakaidekahedron—A Cell Model for Biology Classes | [
"Wahl M. Stoessel "
] | https://doi.org/10.5951/mt.70.3.0244 | 2,021 | January | "2fkM7gqCiBzQWVe3dUr1b2R1ZEe1F7M9FFN7zdW17FVm0EpdT6BsXk6Xn+FyoKbrSQ71g0GMnM0IIj4tQGp8UPEWgcAT516sGLpUaFtkLNmBexXAZsDtK7kzj0GoBpyIjDe3X5bQiX3SRZf7ovcGK8/GnC5/X6PwSZLUFJaSvi4=" |
10.5951/mt.70.3.0262 | <jats:p>A group is a group is a group. However, group axioms are arbitrary. What happens if they are altered?</jats:p> | Operative and Nonoperative Group Definitions | [
"Buchthal David C. "
] | https://doi.org/10.5951/mt.70.3.0262 | 2,021 | January | "GHk8fYiGBlTAGNcT71u0s3nv9cMUJ5ehVtNXxbPt59yCcBpdUSVqXGaHPMMwxbCj0l9Fl3OMCNGoss7owPocyOmXIYCaYV20kZ8YanM2kvuFWwXI8oSqZgic/wIvJ56YaB83m7SQj+5SlB3/Im/SC02CHCl/R7HxSfLUFbATgvw=" |
10.5951/mt.70.4.0298 | <jats:p>Mathematical ideas evolve in many and varied ways. Although some are consciously reflected in works of art, others find their origin there.</jats:p> | The Artist as Mathematician | [
"Slawsky Norman "
] | https://doi.org/10.5951/mt.70.4.0298 | 2,021 | January | "avsUf4qkop7AwNe3xVr0/0bvsMf8M5MJcHNaTTG179zm8FNdSyBoVuaXyePR4LKj2A7Vg3eCit0vs14sREp2RL20I4Lfx0yMGL4W6NNy9tmJeTXAUoCoZ5i99UYsBo6ZxDf/37XQp/zyRxfzpCuEAk3qnCR/X4Mw4dKUVbsSHr4=" |
10.5951/mt.70.4.0315 | <jats:p>Here is an example of how to use a computer to follow up your conjectures in geometry and trigonometry.</jats:p> | An Investigation of Integral 60° and 120° Triangles | [
"Muller Richard C. "
] | https://doi.org/10.5951/mt.70.4.0315 | 2,021 | January | "5/CMbwoAuBwB2dO2fUr0bQXhVE2VmxNtBGUT/fU97xHlcAIdzuZEXo6Xz8HzY6ChIQ71h0GCmk/Ko21sQEF8FP22IecTzRmcCLwG6FJkZsnhOQXBOomeaRoZy1e8oLuNzS+2vaZQo35TRZX9oj9UCk3HDC9/W5LxYWvAXqo7ar4=" |
10.5951/mt.70.4.0319 | <jats:p>Two interesting curves from analytic geometry come to life as “solutions” to a classic problem.</jats:p> | Anyone can Trisect an Angle | [
"Reyerson Hardy C. "
] | https://doi.org/10.5951/mt.70.4.0319 | 2,021 | January | "4fkc/yqGqYrJWdf3VUq0ZUT1hAPc97M9UFERnVG15FHmUAtdSwzJ3uaX2+Fw4bfjAY61i0OKXlfYMFrtAEAcQN2UIcATwx6MGP6czNdmFt3BeS/gboC5KJkyh0OpBbqZ4bj+ndRbpftTRJ/zpCMWQn/exqR/T6NwANaWX5Izvj4=" |
10.5951/mt.70.4.0335 | <jats:p>For years teachers and students have labored to construct models of regular and semiregular polyhedra using cardboard and glue. It is considerably easier to eliminate the glue and substitute elastics [rubber bands]. All the Platonic and Archimedean solids can be quickly assembled and disassembled if sufficient ... | Activities: Polyhedra from Cardboard and Elastics | [
"Woolaver John "
] | https://doi.org/10.5951/mt.70.4.0335 | 2,021 | January | "ZeEMfoqmuhwAlcOXfVv9n3VtdFaUj/tbVEF0XXXv5RDK9HIdWydM3EyXKw1z47SmYA/1g1OIGN/GIEzhdUgc1HkdI4QXZVykGLSUaJtkNF+BfQTAIpi5pbmo24M8IIuZriO/9+XClH7iQ9/9IqTCQ8/bjAl7TLHRTbKQDpozDmo=" |
10.5951/mt.70.4.0344 | <jats:p>Do you weigh your mass or mass your weight? Let's find out.</jats:p> | A “weight” Watcher's Test | [
"Hoffman Joseph R. ",
"Henry Boyd "
] | https://doi.org/10.5951/mt.70.4.0344 | 2,021 | January | "kzkFvYgAo15hSZY3TWL06XBPRRvfp6ERVFM3z7Pf7WzHwRIdSy8tXnSH6cH+4KCp0Uo1glSuCl2hssuwQNJYoW2+EOJXz1ieSbkg/Pv2iISpfxXYIiC/XJgJ7dpsJbaYDBE2vP9AjrjD1H3hh2ckOW22mC1/W7OhQBKcjTgTFhg=" |
10.5951/mt.70.7.0573 | <jats:p>A sequence of problems to promote creative problem-solving habits using basic tools of algebra 1.</jats:p> | Mathematics Projects in Junior High School | [
"Bruckheimer Maxim ",
"Hershkowitz Rina "
] | https://doi.org/10.5951/mt.70.7.0573 | 2,021 | January | "4HgFX4qiuZ5A0dcXDRrdZV1xlEW1oeOxdHES+ff3/Rjj9BIcSsdpXEYdi+LzYaTvk4v5A0eOjhGG4UysAmJ+UfU2IcF+x0GsDL4saHNict25KSzAcoKoZNk5sQOpAIvdR7+3nuxSp3riQJvwBC9WAg3KTih/RqMRWUqXbZgzTr0=" |
10.5951/mt.70.7.0581 | <jats:p>An instant application of sine curves to a topic guaranteed to provoke some interesting discussion in your class.</jats:p> | Your Biorhythm and the Sine Curve | [
"Kelterborn Bonnie "
] | https://doi.org/10.5951/mt.70.7.0581 | 2,021 | January | "4ukUfyqALR5B3Fd2TVr0cVXhhE+Ui7MlJFUV3xH151yAUAJdS+xrFEaHf8Dz4qSjwQu9g0Gu3E0pM1ikQEOYEH0UAKEez1KMGL6IaP92Ut2heQ3ANpO88Ns570OtA4vLwx61n7ZQj/7DRpu9piOwA8/mkC5zF9LySf+W35La6r4=" |
10.5951/mt.70.7.0611 | <jats:p>How many quantities can you create with two buckets?</jats:p> | There is a Lot of Mathematics in Two Buckets | [
"Goff Gerald K. "
] | https://doi.org/10.5951/mt.70.7.0611 | 2,021 | January | "U+kMfZygigbhS9aXX1688SbhdBY1M7npFFMwV/zszNxkVBuNywDs3PTSCaL7wq6hwAL9h1qEmN3D9i24YWoeRRmUMPZ010i+Gf4AaPK2Ut2DfyVi5oKrRJjqr1sOAJOY1jO8vNh4mn7ARf/1FyR2Is3ciBl7R7GxTSPcF5GTUks=" |
10.5951/mt.70.8.0658 | <jats:p>A new, simple, and insightful approach to an old problem.</jats:p> | Constructing the Parabola Without Calculus | [
"Bruckheimer Maxim ",
"Hershkowitz Rina "
] | https://doi.org/10.5951/mt.70.8.0658 | 2,021 | January | "U2gV6aCki97AGdd3F0o0Z1bxVgfUs9ehdFcyzVH9513CFAMdS8pbUCqS24Py4LTvEcu9jWOqHtfKoI4tdEoYQPU2IcCw53iMFbiYbHL2fN2pOQXgFgKsfBgj+Q6pBxuYx7M9nIxEr3xSRN/jAmsWC/28nop/V7PxSZqUR553Nr4=" |
10.5951/mt.70.9.0750 | <jats:p>When is a<jats:sup>b</jats:sup> rational? Irrational?</jats:p> | On the Rationality of Exponentials and Logarithms | [
"Williams Richard K. "
] | https://doi.org/10.5951/mt.70.9.0750 | 2,021 | January | "o3EN/wqADdxRmVM33VLU+X79tdq1J7eh1FEQ3TVt7tzi5FIdyU9sVG4Xrck2yazr0ct/AUOeGsUAqj+gYno8Vp23AcZ2w1GeHL2gaPMk5m3Z6S/gbJC6fngrqwYVJo/Iiyi2vZX2r3rCBjv9Ki5SG13unCl6U/OQWbKUoTkVXqw=" |
10.5951/mt.70.9.0766 | <jats:p>Discover some surprising outcomes when playing six-card poker.</jats:p> | Poker Probabilities: A New Setting | [
"Litwiller Bonnie H. ",
"Duncan David R. "
] | https://doi.org/10.5951/mt.70.9.0766 | 2,021 | January | "QXgE/4gwhRrAGFczXHqUbT5JtMQUk7UgZnsS5R34fl3E0MqU9qYkVS7WKaC3466jQU6xk1OKGLOJCd74cVt0FGWVIcIezkG+GPMkeFO0AtXpe0XgosWsTzhh/VYNLhrNRb+0Xz6OjnzSVJn6vT4Umn2unup3V7CxKerE3LK1ir4=" |
10.5951/mt.70.9.0772 | <jats:p>An “absurd” problem yields mathematical insights into atomic physics.</jats:p> | Randomness in Physics and Mathematics | [
"Troccolo Joseph A. "
] | https://doi.org/10.5951/mt.70.9.0772 | 2,021 | January | "oWscfqqhiE5TSZ83fVr8NVTTcMn0l4ORUNNRVZlu/13i1DNVSsZpXkSWbeDwYKfjSAq1GnOOGksKMl84Q0s1APk0ocIW51CkGD5qaHFmgPGBeTdAaICpaDEMo4GsIpqI7D82nqZ2rvqyFJ/zImskY83enC5+T7LwSzKUrbMyrq4=" |
10.5951/mt.71.1.0013 | <jats:p>A single powerful theorem to solve quadratic equalities and inequalities.</jats:p> | Teaching Quadratic Problem Solving | [
"Stover Donald W. "
] | https://doi.org/10.5951/mt.71.1.0013 | 2,021 | January | "Y3oc/YrBn9io2ZN/HVrVcSZ5lEOcc9MhRFN7bZ2n713uoBOdSMnNUO6P6/Hy4bXPxYrxg1OI3FUMsFgsYlqeVFWcMcA2wVSMHLyMqJPmYt2JeS1AbISpaNByqUc9hJsIxoK/mMJQhn4yRJ/hBC8WA23amsp/T5NhSjIU/5pS9r4=" |
10.5951/mt.71.1.0050 | <jats:p>Numerology and the use of minicalculators can be combined to provide fascinating classroom activities.</jats:p> | Mysticism and Magic in the Number Squares of Old China | [
"Swetz Frank "
] | https://doi.org/10.5951/mt.71.1.0050 | 2,021 | January | "42AEb4qiih4B2dc2fUL1TVZlQ+G4E6EBIFMZ1x3+v93i8AodGsoJFtTVjQLzYqbiSQj9gkWNCs+iu94mRUp4Ae00EaHXz0CMHL5MbLhy49WBK1VgloG4bxmp75OsRprJxhy/trZVitqzRJf3tX/UGk3qnil7V7OxaaKWzJoyZqw=" |
10.5951/mt.71.1.0060 | <jats:p>A target for your cue ball can he found using complex number computations.</jats:p> | Line Reflections in the Complex Plane— a Billiards Player's Delight | [
"Musser Gary L. "
] | https://doi.org/10.5951/mt.71.1.0060 | 2,021 | January | "Q3EM7IpAqNjpWFe35VpU/QVDVG28L9OF1FURfR1/513G9Ioc2qdJWMady4Bzo7+ujA70hwGIHh0KqFooQkpyVTy0IcF36lCOHLysaPu20NXP6RbgohTpL9gZqcMBhJ6JzKfXPO4Yq1/yBZfrIn/SU83+mop/VbBxCMrWniq7Lqw=" |
10.5951/mt.71.2.0094 | <jats:p>What is mathematical literacy? How do we achieve it for all students?</jats:p> | Some Thoughts on “Minimal Competencies” | [
"Forbes Jack E. "
] | https://doi.org/10.5951/mt.71.2.0094 | 2,021 | January | "21AU/QpgwQ6BAZfX/1K13UX71MS8o7sBNHNff5u/79jGkFKemqPqRKiuSYLzI66vuA7zg1O8CuFG5cgmxUL6EhWUAccezkgkHbwq6Jr22Ve5az3gYrGsZBmn+0KsJpdZ4oJ/nuRSpnyCRR35ZzfUio3Mmix/X5CxSZ6WRbs+Yr4=" |
10.5951/mt.71.2.0124 | <jats:p>This model for accountability was carefully developed. Needed modifications will continue to be made.</jats:p> | State Minimal Objectives and Testing, the Michigan Council's Experience | [
"Clason Robert G. "
] | https://doi.org/10.5951/mt.71.2.0124 | 2,021 | January | "kF1MfQqiu07QGc93f0o05yq33cPUM/N5pBF6VfPuvh3uUBpdIsBfUDoDm2PQwKTnEw71gGOumtfs4extwXRcNMCWBUCap0CsCL1U6Zs2ttGpixHksgLo/QgF/3o9J5fZgo80vIwUhzxCRf/pYmrGA43ESgpvQLK1QXJWhI2TVtM=" |
10.5951/mt.71.3.0168 | <jats:p>From time to time I have been asked to speak to groups of high school mathematics teachers about the mathematical portion of the Scholastic Aptitude Test (SAT). This article affords an opportunity to provide current information about this test to a greater audience of mathematics teachers and others interested ... | The College Board Scholastic Aptitude Test: An Overview of the Mathematical Portion | [
"Braswell James S. "
] | https://doi.org/10.5951/mt.71.3.0168 | 2,021 | January | "33AE/4pgDxwhQZe3/VqVJRbvrESU+7MBVHE+fbf97NnCABJWys9s2KSGOYPyYajHSg6xi1OMzl0ks9p64ED6EWG0MeeeTkCEWL4s6Ln2UgepaR3AYpm4RNut/1MsRrNJ4ge/nvTQr3rjxJfxLm8Gs82Omgh/W5DxaXKWZ7Ir4i4=" |
10.5951/mt.71.3.0211 | <jats:p>Some thought-provoking arguments that should cause you to think about your philosophy of mathematics.</jats:p> | Back-To-Basics in Mathematics: An Educational Fraud | [
"Offner Carl D. "
] | https://doi.org/10.5951/mt.71.3.0211 | 2,021 | January | "y3kUf4rgC1yg0Zc351rU9Xbvcof9s7MhNFETXZHt58jG9FtVyydoXG6PDdNyYKaj0Ep9BmOMCnMIuNooYVqeBv20IYcf40iMnLoE6Pl2UN3BeSfAaoCoehknrwKsBpuJRx22v7TQj37yxhf3FT0SK07OnGx+25OxCcKcxZofMpw=" |
10.5951/mt.71.5.0439 | <jats:p><jats:italic>Materials</jats:italic>: Calculators and one set of worksheets for each student.</jats:p> | Activities: Calculator Capers | [
"Schmalz Rosemary "
] | https://doi.org/10.5951/mt.71.5.0439 | 2,021 | January | "4thUfZiiuAxpxdaTXXK8TSXlxE6dK/MrJDMwXV32PBjH4FocjsdohTqJa4P746/laS25h0GMCs3iJ8zgiGKbW/nbMYRWzkmIDLwObKr2dl2xKSHhMtCoRFgf+9LsIIIZZxr/tcRQl/4DRZfjB6VWEs36yi5/W7HRUKPQR5szUn4=" |
10.5951/mt.71.6.0532 | <jats:p>Are you depending on a convincing demonstration of simple limits using a pocket calculator? Caution is advised.</jats:p> | Derivatives on the Hand-Held Calculator | [
"Morgan Raymond V. ",
"Warnock Tony T. "
] | https://doi.org/10.5951/mt.71.6.0532 | 2,021 | January | "8/EYf8oimZZBzZa233CU7wbtXGPVs7exRFsSf5V7flTM+BIdykMoWU6HjVPysKOlQQu5A0GOmu8qoSsyYFp2Bb0SENVVxV2+HLtgfPqmxpWN6zVr8qCpZlkv71OuIraYRDq/N6aEj36ClNvxNzdUOk32DCp/TxPxSSvUDTo/fr4=" |
10.5951/mt.71.7.0614 | <jats:p>Algorithmic design is often considered the one justification for computers in the classroom. Now this payoff comes with calculators.</jats:p> | Efficient Algorithms for The Calculator | [
"Friedlander Richard J. "
] | https://doi.org/10.5951/mt.71.7.0614 | 2,021 | January | "+ngcbYiCgV4h1ZI3/XPUbVXhVNGVo6PzJHcRd/1lf1HGcCJdysZMFE6W64Py4bahZQi5C1GMGkfqpzzoJVv6AP2XEaTbw0iMHL4G6bomY8mlKQXBsoC4ZliR/0OsJpsdZj+3n/YQh/bzVZf/N7PEG+3+LC5/U5NBSOLWzZszbqw=" |
10.5951/mt.71.8.0658 | <jats:p>Often there are not enough data available for a model.</jats:p> | A Current Event for The Mathematics Classroom | [
"Watson Jane M. "
] | https://doi.org/10.5951/mt.71.8.0658 | 2,021 | January | "i+OMbBiphspQC9YXX2L0b0z1ZE7VN7el1lFyZpXv3FzG8BJf5GANWBwWnS/ysq6rQAexjcOOWv9Ku2+5YWz0UAgeIdTUykiqmLQQbPMmQI2BKx3BtoOuTNmjp5oeJhaIyHuWfZyWityCRN90I2cWq93kjCt3WpLxRWPUFJc4dr4=" |
10.5951/mt.71.8.0702 | <jats:p>The Vermont Board of Education, at its meeting on 20 July 1976, accepted a set of basic competencies in reading, writing, speaking, listening, and mathematics. Action on competencies in reasoning was deferred for further development.</jats:p> | Basic Competencies in Vermont | [
"Kenney Robert "
] | https://doi.org/10.5951/mt.71.8.0702 | 2,021 | January | "Fnkdv4uiux4AK+P3d1uR/RXlhMhlOft9JnNef1P+OJnIcEIVzsJNiCYCOZuSIrrv+g6RUHMImstoo9YnxCgaR2XWM2Aew0AsHLkIaIhm1lOpSQzg4oC4UBgp7lKtABNZ4gC7v7Syq/zjQJf1BB8Ekw2sGql7TpK1CX/fbZOTRik=" |
10.5951/mt.71.9.0740 | <jats:p>An ancient construction yields Solutions to cubic equations.</jats:p> | A Mathematics Club Project from Omar Khayyam | [
"Lumpkin Beatrice "
] | https://doi.org/10.5951/mt.71.9.0740 | 2,021 | January | "ZfEc/YqAi5xp3dcffVr0cwXx9Ee0t9P9UFN3fXNvbnXu9BMcS0bpXMQVyeFz4bTrQYj9g1OOzH+GpVwtgioeRBm1IaIzwwyMWP2EaLOiJe2JeSvABoC5apkrgUY5gYuJ/im/neRSp/qyYl/zozpCQ23aDAZ/T7JQSbLGf5MSb74=" |
10.5951/mt.71.9.0774 | <jats:p>Some useful examples to contradict the idea that Simpson's rule is best.</jats:p> | Approximate Integration: Comparative Examples | [
"Venit Stewart M. "
] | https://doi.org/10.5951/mt.71.9.0774 | 2,021 | January | "oPkUfyqgiJ5A2Rd3/VLV7Wx9NEiVE5IhdFNR/7Xv9xzE2EJdZ8BkXGyHG6N2QKbnwQu5gVOOHHcouGq8YHC+zc0UENGTx1msGLoEKPJ04t3tOQ5A9oG8Sho5v9eNBBKYCBe3mIaVnnrC1J/9szeUK9V8lC59A5LxbWOc1ZM/Dr4=" |
10.5951/mt.72.1.0005 | <jats:p>Play this game, enjoy it, analyze it, and then create your own version.</jats:p> | X-Game—Some Consequences | [
"Young Courtney D. "
] | https://doi.org/10.5951/mt.72.1.0005 | 2,021 | January | "yfgE2wiikN7JGXszlWLc7X0htMfci7cHNBkSbxl43lzCUEg82mYtXTI3y+Hz45SjwI+1k0OODgPsc02uYEhQTXEWEYF/7QGukbiUbH+0JNWrewVhs6aoZRgrvcY9BdOZwau8fb5AqmrDVd3oqm0UC/3mig5/V7PxKbpEHZobDvo=" |
10.5951/mt.72.1.0020 | <jats:p>Some interesting opportunities for reinforcing computational skills and using a minicalculator.</jats:p> | Number Theory for Secondary Schools? | [
"Pagni David L. "
] | https://doi.org/10.5951/mt.72.1.0020 | 2,021 | January | "x/EESwqimJ4AyZc2XUqVTUVhhEf5E5f9JHMT/xX/fxHm8BId2sJpHoSVywPz4qbjaQq5BkGonm+qI80uBGt4Ab0UgOQVz0CuHL5MaChmYtyrawXAMsK4b1llzxIsIIuJxjq+v7wWinxzRJf1p7f0Gszqjix7X5LzaKvWzJoTbqw=" |
10.5951/mt.72.1.0028 | <jats:p>There are many fascinating geoboard problems and patterns that are of interest to high school students. One of these is the nine-point circle, presented on an isometric grid geoboard by Robert L. Jones in the February 1976 issue of the <jats:italic>Mathematics Teacher</jats:italic>.</jats:p> | Extremal Problems on A Geoboard | [
"Lott Johnny A. ",
"Nguyen Hien Q. "
] | https://doi.org/10.5951/mt.72.1.0028 | 2,021 | January | "52Acf4qiPRQJEdP3/QulXSfvFI4Ue/MNNHMtTfW3rVHOYEpVyu9sWC6Hn5fwo7Ln4I/100ONCMkEp1FvgkL8Enm8AaMSwWyPWLwGaLlmRkGBORXAIoy8BJm56lKoJCuf46y/vvRQhfzjxB/xBqwwg8+PBA9/T6JRSGNWdLK7Siw=" |
10.5951/mt.72.1.0058 | <jats:p>A very difficult problem falls to an old but powerful method of analysis.</jats:p> | Applying The Technique of Archimedes to The “Birdcage” Problem | [
"Stannard W. A. "
] | https://doi.org/10.5951/mt.72.1.0058 | 2,021 | January | "+Ojc/ShkD9wB3Vd3H2ok5Qb3FAPUt9O5UFE1f5Np9N3k9BNdU2CNUg6G26ly8LarAUq9i2eOnh/KsG6scGs+RM2WIcIw7VCOHb4ArHHm8MyB+Q3gNoP4aNgRqwAIB5+Y5D+2lcRRp+zzZJfiICcGC838HKp2U7JxTTLVlZMyZrw=" |
10.5951/mt.72.2.0123 | <jats:p>An enjoyable calculator activity.</jats:p> | Who is Quickest with Mind and Fingers? | [
"Kerr Steven D. "
] | https://doi.org/10.5951/mt.72.2.0123 | 2,021 | January | "8/gcf4qAiB4FGVeyeUL0ZVVptceds7chZHER75XvftTmcAIc2uIoHRI264Hz4qa5QQr9g0GKComiI4zqYkp4AV02AIF2z0muHbwMaHv2YtWpawVAtoC4blgj9VYtJJOYxj69nKQAjnzTRpvpM28UGszuji57X5PxYarWTZo7Trw=" |
10.5951/mt.72.3.0204 | <jats:p>Apollo, through his oracle at Delos, proclaimed to the Delians that if they were to be rid of the plague they must construct a cubical altar that would be double the size of the existing one. Because of this tale, the problem of the duplication of the cube has become known as the Delian problem. Legend has Erat... | Duplicating The Cube with A Mira | [
"Martin George E. "
] | https://doi.org/10.5951/mt.72.3.0204 | 2,021 | January | "p+QMfaisJFilgdU/7Rr18lTpNFc0o4vBUEF0XXe973HC9AsdS+doVISWjCP48fWjc4r9gnOs2s/CJkwt41C9BPmUIYcbJUasELiUKNk2stnFWQTARIirLDKN+20sAoOo7K0/ncVSp/53QB/xsipU+0WaDCN/S6py3XcUTaI7nqg=" |
10.5951/mt.72.3.0217 | <jats:p>Several examples of ways algebra and geometry provide alternative views of a concept in mathematics.</jats:p> | Measure for Measure | [
"Trimble Harold "
] | https://doi.org/10.5951/mt.72.3.0217 | 2,021 | January | "onkUf4qgDByAUNWXTVq0f2zX4k+127OpdEFT3Zen79ln4AtdSoVo3uQXqcJxAabjwA/xh1OKCFVIK05sQEjeRnmUI8IX41mMGL4U7FFmZpnZOS3A7oG6Srh5q0UtBoqIQxm3uuXRin5ixJ/9tj8WSg3O3id/X5Pwad6VVbAzur4=" |
10.5951/mt.72.3.0222 | <jats:p>A common mathematical riddle involves a balance scale and a number of coins, which are to be sorted in a certain number of weighings.</jats:p> | Some Mathematics on The Balance Scale | [
"Wright David G. "
] | https://doi.org/10.5951/mt.72.3.0222 | 2,021 | January | "w2EN/4oQq15BwZ83fVb1tXT/FUP0NzMDalMUZ7e971zG8BZcWSJtXoyWuKH3IKwiREL1A0etGunColg4YUJ8gf2UAYJ2y0CMHLaGaHl29oWhexVAAICN7Jkpr1MMJrbYzy6/1OZCin6yVDfzEz5UGi2eDCN9U7KxaXOe7x0zZrw=" |
10.5951/mt.72.4.0294 | <jats:p>Recently, while working with polygons inscribed in a circle, I had an idea that led to a very interesting limit. The concept that got me started was the notion that the area of an inscribed <jats:italic>n</jats:italic>-sided polygon approaches the area of a circle as <jats:italic>n</jats:italic> approaches infi... | Inscribed Polygons Lead to An Interesting Limit | [
"Kich Kenneth "
] | https://doi.org/10.5951/mt.72.4.0294 | 2,021 | January | "Y3EUfwqqOQRoCNe9XVr0Uyd7YAW0s7MDFHMUXdn959hC5EhVQyEoXs6XC83zo7KjQI61g1OuGmWMokkl1Ep8RRk1AcNewVyMEP2GaPMkdv2HezwARonpTgqZj84pIoOY7C++n5RQje5yxN/4JzUUI0/ahAJ/D6PRadOAT6ITOqo=" |
10.5951/mt.72.5.0337 | <jats:p>These integers have parents. Try following their ancestry.</jats:p> | Pattern Discovery with Binary Trees | [
"Pauker Andy "
] | https://doi.org/10.5951/mt.72.5.0337 | 2,021 | January | "S+AN/Yokrp5BWdN3TVr09Ujp0du1u7UhcH8RzzH95/zC8Bof26AtFCyWL4nzoLSpwQz/glWeCnGIo3w6QE4/wB2WIcRyxUm+FpwGbDa2Rl2Z+R/IFqG4dJiDrfaFpZe4hyu/fZ5Qr3hiRJX6JS9Ui11miIN/V5PxYJqERrs7Hro=" |
10.5951/mt.72.5.0346 | <jats:p>This sequel to the irrationality of √2 relies on notions of terminating and repealing decimals.</jats:p> | Another Look At √2 | [
"Lindstrom Peter A. "
] | https://doi.org/10.5951/mt.72.5.0346 | 2,021 | January | "InEY74uAiZ4ky9c3fVLUnVbddYi1s7eBUFcV3b2tb9zK+BEd6ELoXOZXicnziLapQQn7A0eKGk8oK2o4oFgaBJ8XAYY2i0qOnP2kYPukYtmFeTfAZJC5bxip51UtpIvIgyK/3qQHj/pSBB35PnJQE13OjC9+Q7PQCTecAxg7Buw=" |
10.5951/mt.72.5.0363 | <jats:p>Two ostensively different geometry theorems are shown to be essentially the same if viewed from a new perspective.</jats:p> | A Unification of Two Famous Theorems from Classical Geometry | [
"Maor Eli "
] | https://doi.org/10.5951/mt.72.5.0363 | 2,021 | January | "4Hsc/6qAiVypGtf3/UK0dyZdxAGU0zMpVFNR3f2/79RkUAtdTslM3m6Gq8Pw4abHwB51h0OIHl9IIFpt0Eq8Jvm9IcAR5lyMGLwEyPNkNtvRGy3AfoGrJjgyqlOvBZ+YhaW3+eDAhm5CxJ/5pq+WC0fKkmV/XZPx6L6WVZ4zvj4=" |
10.5951/mt.72.5.0395 | <jats:p>Two common activities in advanced algebra concern the simultaneous solution of equations and the intersections of their graphs.</jats:p> | Phantom Points | [
"Duncan David R. ",
"Litwiller Bonnie H. "
] | https://doi.org/10.5951/mt.72.5.0395 | 2,021 | January | "8PsUfQqCp5yAcdeXTUqtdUXT4Aq1+fu5VHMz7Z/v/JnjRBNdyobNHuQV6uFzYbSpkAj1g1ONjFWo40xkQmJeVH22IcA+yRmOHb8M7LVmd8vJeQ3A+oCwaJhQqkMtgYuYzTq3nvdTp35yRZ/5BicWgs3azi97T6MTacaXXZsyfzY=" |
10.5951/mt.72.6.0424 | <jats:p>A shortage of mathematics teachers now exists and will likely become more severe.</jats:p> | Bald Eagles, Sperm Whales, and Mathematics Teachers | [
"Paul Clyde A. "
] | https://doi.org/10.5951/mt.72.6.0424 | 2,021 | January | "2+LE/TIrlxYx0ZcX/TS1/0flgce0s7IhwFdXbb/n5FjG0DNXzmJI0IqHi7PaIaarSA+xgtOKyMVec1ZpxmeQACzcOaWeR1humLYuKJrmY5uRaXXBMsEopNGB21IsAreoYpu/XdSUiv7SxBNwEn9EM83+Git3R5OTaC+Ug5O6cr4=" |
10.5951/mt.72.6.0458 | <jats:p>One of the most popular dice games is Craps. The rules for a basic version of the game are as follows. Two dice are used. One player becomes the shooter for the first game. In subsequent games, other players take their turns as shooter.</jats:p> | The Probability of Winning Dice Games | [
"Litwiller Bonnie H. ",
"Duncan David R. "
] | https://doi.org/10.5951/mt.72.6.0458 | 2,021 | January | "8XkUfrmgkNjOUFcTzXL8pW1plOeUa7fhZjMRTxdp/lTAyAoUXqcs3TbGq+Hyya+vwAu1G0OoCjtgi04uYMJURWkUAYNOzEMsnb7MYPums9XpKQXgkoKZDTkpv4Y5BbbZggs/TPcFvm7K19f4siwSE23enGZZX6LTKKre3RUHH8w=" |
10.5951/mt.72.6.0462 | <jats:p>Mixing the Pythagorean theorem, the area of a triangle, and some first-year algebra yields some unexpected results.</jats:p> | On The Radii of Inscribed and Escribed Circles of Right Triangles | [
"Hansen David W. "
] | https://doi.org/10.5951/mt.72.6.0462 | 2,021 | January | "43EcfyqAiBzhUdc37Ur0/1VpoUy0E5MxdHNx/dfl7xnnRBsdSo9oVMyXi8dyIbejyYv1A1OMjEWKoQhsAUv8Qf2UAcdayx6MHL0myHtkw9mJWS1AfoGpajA5p4cooosJSQ23vuZRp/5yRR/6NycU603q2i9/T7OwWFKVP5pyuj4=" |
10.5951/mt.72.8.0613 | <jats:p>Anyone who has endeavored to teach mathematical induction is aware that this powerful method of proof is often only poorly understood by students and is frequently accepted as legitimate only after a certain amount of intimidation by the teacher.</jats:p> | Guessing, Mathematical Induction, and A Remarkable Fibonacci Result | [
"Crawford John A. ",
"Long Calvin T. "
] | https://doi.org/10.5951/mt.72.8.0613 | 2,021 | January | "y2kcbYgkj5oBSZc3fVKUr1T9pMDcs7MpcHMadZXv99zGsENdTuppUmyHicLSgaanQU7pmuOqjgEIsy58Ylr6QOmWM8Pey3iknPuGqH92Q8vZ6QTgWsGoZJlz3wasJjsJ5i8//JSUr27jBJvwtSdEM53uHIh3X7GRSfIXybt3grQ=" |
10.5951/mt.72.8.0624 | <jats:p>Test yourself and then test your students.</jats:p> | Questions About Numbers Outside The Mathematics Classroom | [
"Smart James R. "
] | https://doi.org/10.5951/mt.72.8.0624 | 2,021 | January | "wnhVDShAulwRy5cWv0PU7f3nhMXcu9OlZFkSf5v393zG0BgdSm8pWSqGSYPWY66hYcs1kkGuCgOM8yBsQHM4QfWWEcGfz0EuWL9ObPryQFGpqQXBtiC4xVwFv+LtIouIaZ++n55Uj2jDVJfxt2tGG12sigh3T7PRSTrWTZkbWr4=" |
10.5951/mt.72.9.0685 | <jats:p>In this article we illustrate a powerful method for computing solutions to certain equations such as those involving higher degree polynomials, exponentials, and trigonometric functions. The method relies on basic algebra and the use of a scientific calculator. It is an interesting calculator application and se... | An Iterative Method for Computing Solutions to Equations Using A Calculator | [
"Waits Bert K. ",
"Schultz James E. "
] | https://doi.org/10.5951/mt.72.9.0685 | 2,021 | January | "4vAcb4pAiZxA0VO/fXLcdQbz9Eq9d5PlRHMXXbUrdVHnYBNdysTJGIwF2eFw4bbhAQv5i1GOXEuroFkoKkIeETmWgMQ0y1mOGL8mbDpiZ83ZeR3ANrC4Kls75UUshIuNxyq3nKZQhX7yRJf5MP8DQ+3ODCp/XpBhWEKQj7o4br4=" |
10.5951/mt.73.3.0175 | <jats:p>One alternative for helping inner-city students.</jats:p> | A Neglected Minority | [
"Goldman Myron W. "
] | https://doi.org/10.5951/mt.73.3.0175 | 2,021 | January | "U1gErIoEnB7Bm8eWw0i1zS73FE+Vs+epKFNyRVF35h3O0EodjkxpVSqDG4b2Y6biGQu0hVOoSNUKZ9QllFrYQ3CPCcKeIkBsjLXNaFrmLdWRCS2gclGodBgP38s1xguZog413szVjnjSRJ/rj68UM22xygt7x7GxSZLWV5jS6r8=" |
10.5951/mt.73.3.0207 | <jats:p>Here we see not only how computer methods can be applied to old problems but also how computer efficiency affects the solution.</jats:p> | A Computer Meets a Classical Problem | [
"Leonard William A. ",
"Pagni David L. "
] | https://doi.org/10.5951/mt.73.3.0207 | 2,021 | January | "WPAcfSgGus7A3VMfXWL97Qf3dEPVN5O3ZHFz/l919lHG9BId4sBNXoaGW6Hy4qTrFSi8iwWMGFfKsr2sYGs4BP2WocARw1wOHb4ArDBmZsnhOQvAEgK4blqRrRAcoZuZjDO2neQAh3xSRN/zsqM2C+30DA5/VjLxWOLVDZu7Qqw=" |
10.5951/mt.73.3.0231 | <jats:p>Division of a polynomial of first or greater degree by another polynomial of first degree only is commonly performed by the process known as <jats:italic>synthetic division</jats:italic>.</jats:p> | Synthetic Division for Nonlinear Factors | [
"Reimann Kurt W. "
] | https://doi.org/10.5951/mt.73.3.0231 | 2,021 | January | "MnkY/C6ggZhAeZcXbXI0fybV5Mi1cbOZFFFTf78l7ljkoAtdxsRtVk4fSevSobWtQIn1A2G+HFHIoEzoIB5eVZgSIeAWwhmOGb2Q6NIkV9eFaSzADJCgLwA7tcetBYuZ5iK+XMQZj2aiBZ3+OmuWG836GAt6b7SRQzLWH5s7R/4=" |
10.5951/mt.73.4.0267 | <jats:p>In teaching mathematics for the last fifteen years, 1 have used many puzzles. Sometimes they are used as part of a regular class routine, whereas at other times they provide a reward to those students who finish their work early and who want the challenge of solving mind-boggling problems. The following puzzles... | Some Common Puzzles and Their Solutions | [
"Bohland Bob "
] | https://doi.org/10.5951/mt.73.4.0267 | 2,021 | January | "0XgU/5qjrwwB1ceXbVrULVV7tES8n7MZNHFSbd/371nG8AJVCudsX8yXmbP3I6yhaQ71g1OMiEWEM06tREv4QXGUAYMfyQKkVb6GaKlmYs2NaQXAMoS45Zk5q0OshouY7hK/z/ZWpn7yRhf1hzWQAs3ODCx/V7MQabKWbZI/Qq4=" |
10.5951/mt.73.6.0413 | <jats:p>Arguing against topics already in the curriculum—what this article tries to do—is certain to arouse emotions. Every topic in the curriculum is beloved by some mathematicians or mathematics teachers. If there were not such a constituency, how would the topic have become standard in the first place? We see today ... | What Should Not Be in The Algebra and Geometry Curricula of Average College-Bound Students? | [
"Usiskin Zalman "
] | https://doi.org/10.5951/mt.73.6.0413 | 2,021 | January | "82scf4qjJwChwdET7Vq890/jh8zUl7MhIFNUfzX999nG8FNVywJpFCaGPsfyYaSj+i/5CyMICmUgs14oRAq5RvGUGYUfy1yslLiqYJlmVs+FCQ3AYomo9Jnd+0KsBI+Y45c/fvBRh/5jxJ939CSUIs/qDCh/R5MTSX6UVZJ2Di0=" |
10.5951/mt.73.7.0531 | <jats:p>Desired outcomes of instruction in school mathematics usually include some mention of achievement in mathematics and positive affective responses to the subject matter. Not only do we want our students to develop some expertise in mathematics, we are also interested in promoting their feelings of success and en... | Students’ Affective Responses to Mathematics: Secondary School Results from National Assessment | [
"Carpenter Thomas P. ",
"Corbitt Mary Kay ",
"Kepner Henry S. ",
"Lindquist Mary Montgomery ",
"Reys Robert E. "
] | https://doi.org/10.5951/mt.73.7.0531 | 2,021 | January | "y1wV/Qqki9yAcdYX/XqU7RRr4WBck7M7JFFXbZf1593GsBocysJoAC6H6UfTYqarOgpwg1eMSlcvschkYUr7UnGUG6Fez0CEGbqEaJt2R5WJKTXAcpm4bBnL7lKsBouJZpM/ntbSB3jTRJ/91322kk2Pmih/X5OxSWaWWL1bIr4=" |
10.5951/mt.73.8.0608 | <jats:p>Since the beginnings of criminal investigation, police have sought an infallible means of human identification. The first method of identification was devised by a French police expert, Alphonse Bertillon, in 1883. The Bertillon system was based on a detailed description of the person, combined with full-length... | Application: Fingerprints and Fractions | [
"Knill George "
] | https://doi.org/10.5951/mt.73.8.0608 | 2,021 | January | "6OlMfKjkDPpSGds+bVI9sQLlVcFNj7kJTsNeV7fv7lHi8AMZQ+AvWgSAa8PS8LbpKU71iCWOgh+JpFqtIsEuRR2eI8Jzz3qUGbWAaLsykt2JqRTAArTKJSAzvQpzB57pia81Ee/Rh3zjVRfoIi+Ek1/KHCt/BdLhTJJUhH9bJns=" |
10.5951/mt.73.8.0615 | <jats:p>Beginning calculus students often experience difficulty in computing limits at a point where the function is undefined or where the function has different defining formulas on the left and on the right.</jats:p> | The Computation of Limits in Elementary Calculus | [
"Stenger William "
] | https://doi.org/10.5951/mt.73.8.0615 | 2,021 | January | "c3Ec7RqikZ4JDdc3T1KU/VV/tY6dk5M1dFEWfZV/7FjO4BNVygFpWCySiYPTg6ijRIq5g0OuGmcKg2yFalo/Qb2QIUTfy1iMHL+GbHbkQ8uZ6zzAdqGJbBM/5wO8IKMJ7iL+vcwWh/pihJ1xcCFQI13MjAt/T5MxekYSBboyTow=" |
10.5951/mt.75.1.0083 | <jats:p>Blending mathematics and art can be an exciting classroom experience for all students. Essentially there are two types of activities for the mathematics teacher to consider using. On the one hand, units can be developed that uncover and emphasize the mathematics that is present in existing works of art. A viabl... | An Art-Full Application Using Magic Squares | [
"Kenney Margaret J. "
] | https://doi.org/10.5951/mt.75.1.0083 | 2,021 | January | "qnoMf4qmDB5ASdC3fVqdU1XpkEB0G7NHNGcOfx23/ZnvcFJdSqZoDMaX64LxY7bnuA/li1ONismOJlwsxQq8UTUUAaUej1CtHL4kaL5iVsXBeQhgUoGoJRmt9sKsRYqd47s33vHTjfzzRZN9LqWEo43qjC1/X4OQ6ToWXxraSj8=" |