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 Problem of the Week Articles - the Math Forum @ Drexel These three published articles give context to using the Math Forum's Problems of the Week with students: Writing to Develop Understanding: The Math Forum @ Drexel's PoWs; Problems of the Week Engage Students with Special Needs; and The Impact of the ...more>> Problem of the Week - Richard Mann A new word problem, math challenge, or other puzzle posted each week since November, 2008, by a Saint Ann's School teacher, with student acknowledgements to follow. ...more>> Problem of the week - Stephen Sproule An index of sites offering Problems of the Week, organized by level: elementary, middle grades, high school, and advanced. Sproule appraises PoW sites according to whether or not they include solutions and archive past puzzles. ...more>> Problem Pictures - Richard Phillips A CD-ROM of 184 attractive, unusual, or puzzling color photographs accompanied by activities for mathematics teaching. Images may defy explanation, motivate investigation, or inspire the viewer to answer a question. Other pictures may be the starting ...more>> Problem Problems - Michael Pershan Blog by a New York City math teacher trying "to better understand the connections between problem solving, learning, and teaching." Posts, which date back to May, 2015, have included "Getting Stuck on a Geometry Problem," "Minimalistic Hints Are Still ...more>> The Problem Site - Douglas Twitchell Math puzzles, brainteasers, strategy games, web quizzes, and informational pages. Flash-powered math games include Adders, Zap (slide tiles to move digits and add up to a specified sum), Side By Side (number re-arrangement), One To Ten (given four numbers, ...more>> Problems of the Week - Math Forum @ Drexel Our goal with the Problems of the Week is to engage students in non-routine, constructed-response mathematics investigations that integrate writing with problem solving in the math classroom. In addition to the Current PoWs and the Problems of the Week ...more>> Problem Solving in Mathematics - Jim Wilson; Univ. of Georgia Problems in algebra, geometry, conversion, cryptarithm, "mean," trigonometry, and a mixture of all, many with comments and solutions, from a course given in the Dept. of Mathematics Education at the University of Georgia. The site also provides links ...more>> Problem Solving Island - Samuel A. Rebelsky Challenging open-ended word problems on the topics of games, such as Blockade, Finger Multiplication, and The Word Pyramid; puzzles such as Error Correction, Error Detection, The Fake Coin, Friday the 13th, and Leap Birthdays; and problems based on figures, ...more>> Problem Solving - It Has to Begin with Noticing and Wondering - Hogan, Marie; and Alejandre, Suzanne Middle school teacher Marie Hogan observed as the Forum's Director of Professional Development modeled a full cycle of the Problems of the Week (PoWs) in Hogan's West Covina (CA) classroom. This co-authored article about their experience around the PoW ...more>> Problem Solving - Jenine Newman See how one fifth grade class explains different ways to solve word problems. Their strategies include making a table or chart; drawing a picture; acting it out; looking for a pattern; and working backwards. With examples and hand-drawn illustrations. ...more>> Problem Solving Strategies - Finlay McQuade, Boğaziçi University (Turkey) Strategies for solving problems, each illustrated with sample math challenges and worked solutions: draw a diagram; make a list; guess and check; divide and conquer; look for a pattern; start at the end. Also available in Turkish. ...more>> Problem Solving Using Percentages (SMILE) - Thelma A. Rex, Rosa L. Parks Middle School A lesson designed to teach students to recognize three basic percentage problems: using M&Ms to find what percent one number is of another; find a percentage of a number; and find a number when the percent is known. From the Practical and Applied Math ...more>> Procon Technology - Maths Tips and Tricks - Peter King Math tricks, divisibility rules, and mental math tricks, many from a book by Kjartan Poskitt called Numbers - the key to the universe, one of the books in the Murderous Maths series published by Scholastic. ...more>> Prodigy Math Game Diagnostic and assessment game platform for elementary and middle school math. ...more>> Productive Struggle Group blog, with most contributions by secondary math and science teachers, that aims to "push teachers to learn in the same way that we push our students to learn" and "work together to make our struggles productive." Posts, which date back to March, ...more>> Professional Development in a Technological Age: New Definitions, Old Challenges, New Resources - Cathy Miles Grant This paper looks broadly at the field of professional development and the underlying principles that guide current approaches. The paper suggests specific issues that come with the process of supporting teachers in technology use, and concludes with a ...more>> Professional Development Program: Learning Math Together - the Math Forum @ Drexel Four types of professional development options: (1) Customized professional development offers opportunities for close collaboration and support over time. (2) Online professional development courses: six-week courses based around the Problem of the Week ...more>> Professional Development Programs for Grade K-12 Teachers of Mathematics - The State University of New Jersey - Rutgers Read about and apply for summer institutes such as Institutes for New Teachers of Mathematics and Science, Helping All Students Succeed in Grades 7-12 Mathematics, the Leadership Program in Discrete Mathematics, and the DIMACS Connect Institute; conferences ...more>> Professional Development - Texas Instruments, Inc. (TI) Learn about the T3 Teacher Leader Cadre Program, on-site systemic professional development; T3 Outreach Program, short term, on-site professional development; T3 international and regional conferences; free online courses for professional development; ...more>> Professor B - Professor B Enterprises, Inc. Arithmetic CDs, algebra books, and other products and services that aim to structure math ".. so it becomes as connected and flowing as a story." ...more>> Professor Freedman's Math Help - Ellen Freedman A mixture of sound, animation, humor and personal advice dealing with math anxiety for the adult student and community college learner. The site includes tutorial lessons, math assignments, study skills tips, information on learning styles, an on-line ...more>> Professor Warwick Sawyer - Mark Alder Articles by the author of Mathematician's Delight: "Things and Unthings - An approach to negative numbers," "The Contribution of Music to Mathematical Discovery," "Some Thoughts on Education and Mathematics," "Saturday Morning Mathematics in Cambridge," ...more>> Professor Weissman's Software - Martin Weissman Step-by-step algebra and precalculus tutorial software for all ages, middle school through college. Weissman also sells dozens of algebra tutorials on a USB drive. ...more>> Prof. McFarland's Help Center for Mathematics Students - Thomas McFarland, Department of Mathematical and Computer Sciences, University of Wisconsin System McFarland's handouts for courses such as Finite Mathematics, Basic Algebra, Calculus, and The Logic of Chess. Interactive (JavaScript) self-tests or explorations cover integer and fractional exponents; factoring; reducing, adding, multiplying, and dividing ...more>> ProFootballFocus.com - Neil Hornsby Which tight end (TE) is the best blocker for run and for pass? Which cornerback (CB) is the best run defender? Which tackle (T) was the worst pass protector in 2010? ProFootballFocus.com offers in-depth and unique information on professional football ...more>> Program Information Guide Service (NCBE) - The National Clearinghouse for English Language Acquisition and Language (NCELA) Short monographs that provide school-based personnel with information on innovative practices for working with linguistically and culturally diverse students: bilingual and ESL, language minority, immigrants, etc. The National Clearinghouse for English ...more>> A Progression of Primes - Ivars Peterson (MathTrek) Searches for patterns among prime numbers - whole numbers exactly divisible only by themselves and one - have long served as stiff tests of the ingenuity and perseverance of mathematicians. In recent years, the use of computers has brought a steady stream ...more>> Project 2061: Science Literacy for a Changing Future - American Association for the Advancement of Science (AAAS) A long-term initiative to reform K-12 education nationwide so that all high-school graduates will be literate in science. The project is creating a coordinated set of reform tools and services—books, CD-ROMS, on-line resources, and workshops. This site ...more>> Project Atmosphere Australia On-line - Sel Kerans; Australian Bureau of Meteorology On-line meteorological activities open to international schools. The site provides access to Australian weather observations, forecasts, and archived weather statistics, with information designed to educate the general public about weather and related ...more>> Project-Based Learning (Learning and Mathematics) - Blumenfeld, Soloway, Marx, Krajcik, Guzdial, & Palincsar; Math Forum In this 1996 article, "Motivating project-based learning: Sustaining the doing, supporting the learning," Blumenfeld and her colleagues at the University of Michigan describe project-based learning and the benefits of using long-term projects as part ...more>> Projectile Dynamics in Sport - Colin White Treatise of a range of sports equipment. Authored by a Principal Lecturer at the University of Portsmouth, Projectile Dynamics in Sport begins with a mathematical treatment of the general principles of flight, examining balls, discusses, javelins, shot ...more>> Project IMPULS - Tokyo Gakugei University Project IMPULS (Project for International Math-teacher Professionalization Using Lesson Study) offers opportunities and ideas for mathematics teachers using lesson study. The library includes lesson study about positive and negative numbers; division; ...more>> Project Interactivate - Shodor Education Foundation, Inc. Interactive middle school lessons on number and operations, geometry and measurement, functions and algebra, and probability and statistics. They feature: online activities (illustrative Java applets including: Venn diagrams; clock arithmetic; Pythagorean ...more>> Project Lead The Way Project Lead The Way (PLTW) promotes pre-engineering courses for middle and high school students by partnering public schools, higher education institutions and the private sector. Goals of this national, not-for-profit educational program include increasing ...more>> Project Search: Math - Buck Institute for Education Dozens of studies and summaries of research on project based learning (PBL) in math. The Buck Institute for Education (BIE) is creates and disseminates products, practices and knowledge for effective PBL. ...more>> Project SEED A non-profit math consulting organization whose goal is to increase the number of minority and educationally disadvantaged youth majoring and pursuing careers in mathematics and related fields. It uses a non-lecture Socratic group style of instruction, ...more>> Projects for Project-Based Learning (PBL) - WestEd Regional Technology Education Consortium (RTEC) Designed to provide web-based support for teachers, parents, and children who are interested in project-based learning (PBL), design, and invention. Exemplary Projects has lesson plans, ideas, information, and links to PBL resources, and can be used by ...more>> Project SkyMath: Making Mathematical Connections - University Corporation for Atmospheric Research Using the science and language of patterns to explore the weather. A middle school mathematics module using real-time weather data and current environmental issues to promote the learning of significant mathematics, consistent with the NCTM Standards. ...more>> Promoting Engagement and Supporting Leadership Development: Online Teacher Professional Development at the Math Forum - Wesley Shumar, Jason Silverman, & Troy P. Regis, Drexel University PDF-format article. Abstract: Teacher professional development (TPD) in its current state is typically episodic, fragmented, and often not rewarding over the long haul. There is need for a more substantial and extensive core set of TPD experiences that ...more>> Prongo.com Free online games, such as Batter's Up Baseball and Lemonade Larry, for practicing arithmetic, investing in the stock market with real time stock prices, using logic to guess a number and decipher secret codes, and more. Themes of other games include ...more>> A Proof of the Pythagorean Theorem by Liu Hui (third century A.D.) - Donald B. Wagner Web version of an article which appeared in Historia mathematica, 1985, 12, pp. 71-3. Includes Chinese characters, which were not in the published version. Some statements here are no longer up to date, but the article has not been significantly modified. ...more>> A Proof of the Pythagorean Theorem - Isaac Reed One of the most famous theorems in mathematics, the Pythagorean theorem has many proofs. Presented here is one that relies on Euclidean algebraic geometry and is thus beautifully simple. ...more>> Proof of the Pythagorean Theorem (Math Exploration Quilt) - Rik Littlefield; Hanford School Proof by the scaling law. ...more>> Proof of the Pythagorean Theorem - Rik Blok Pythagorean theorem: in a right triangle the square of the hypotenuse is equal to the sum of the squares of the sides containing the right angle. Two proofs: one by a construction, and one by the method of similar triangles. ...more>> Proofs in Mathematics - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny A discussion of the value of proofs in the classroom, followed by a collection of proofs classified as either simple or charming. Simple proofs: Number of vowels in a Lewis Carroll game; Pigeonhole Principle; Number of X's and O's; Coloring points in ...more>> A Proof that e is Irrational - Isaac Reed A proof by contradiction that relies on the expression of e as a power series. ...more>> Proof: The Sum of Prime Twins is Divisible by 12 - Mathematics Dept., College of Marin Prime twins are prime numbers that are two numbers apart. For example 41 and 43 are prime twins. Can you PROVE that the sum of prime twins is divisible by 12? (This proof doesn't work for the prime twins 3 and 5.) ...more>> Properties Glossary - Math Forum, Ask Dr. Math FAQ What is an operation? What is an identity? What are the associative, commutative, and distributive properties? What is the property of closure? What is the inverse of something? ...more>> The Pros and Cons of Technology in the Classroom - Roy Pea, Larry Cuban, Bay Area School Reform Collaborative, TAPPED IN Nationally recognized experts on the subject, Dr. Roy Pea and Dr. Larry Cuban offer their insights in this transcript of speeches each gave to a gathering of organizations that fund school reform projects. A transcript of questions and answers from the ...more>>
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