Problems & Investigations
 
  Math Fair Problems - Students
  Math Fair Problems - Teachers
 

Math Fair Problems - Teachers Gr 7,8,9


 

MATH FAIR RUBRICS

* Developing Math Proficiency through Math Fairs

* Problem Presentation

* Problem Presentation (developed by Scott Carlson)


  Math Investigations

 
Programs
 
  Math Fairs  
  Lesson Study  

 
Links
 
  Selected Resources  

 


  RESOURCES  
 

Born of man's primitive urge to seek order in his world, mathematics is an ever-evolving language for the study of structure and pattern. Grounded in and renewed by physical reality, mathematics rises through sheer intellectual curiosity to levels of abstraction and generality where unexpected, beautiful, and often extremely useful connections and patterns emerge. Mathematics is the natural home of both abstract thought and the laws of nature. It is at once pure logic and creative art.

Papert

 
grule
 

 

Some Of Our Favourite Sites

 

Interactive Sites

Applets
"An applet is a small, self-contained program that runs in a web page. Applets are intended to illustrate concepts and techniques in an interactive, dynamic way. A teacher or student can download an applet, drop it in a web page, and then add other elements of her own choice (such as expository text, data sets, and graphics). Many of the applets in the library contain essentially no explicit mathematical analysis, and thus can be used by students and teachers at various levels. These applets are intended to be small "micro worlds" where students can run virtual versions of random experiments and play virtual versions of statistical games."

Interactive is a site created by the Shodor Education Foundation. Their online interactive simulations and models are designed to enable and encourage exploration and discovery through observation, conjecture, and modeling activities.

Mathlets: JavaTM Applets for Math Explorations
Many applets available to demonstrate mathematical concepts from calculating the slope of a line to systems of Differential Equations.

Maths Online Gallery. The Gallery consists of interactive multimedia learning units on various issues that shall facilitate understanding.

National Library of Virtual Manipulatives is an extensive site of virtual manipulatives created for all math strands in the Grade 9 to 12 curriculum. With support from the National Science Foundation, the National Library of Virtual Manipulatives was created by a team of mathematicians and instructional design experts at Utah State University. Additional development is ongoing to extend and enhance the NLVM under a new NSF grant.

NCTM provides two interactive online environments: Illuminations and e-Examples.

Studyworksonline is a which is a service of MathSoft Engineering & Education, Inc., a provider of interactive math, science, and engineering software products and content.

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Create Your Own Simulations

Easy Java Simulations
Francisco Esquembre has created a free software tool called Easy Java Simulations (Ejs, for short). It is designed for science teachers and students who want to create their own simulations. When you go to the site you will see a number of example simulations and you can also download the program.

NetLogo
Uri Wilensky and his researchers at Connected Learning Lab have created a free software tool called Netlogo which can be downloaded free of charge. Netlogo is a very powerful simulation environment. It is designed for math and science teachers and students who want to create their own simulations. When you go to the site you will see a number of model simulations and you can also download the program. They have just released a 3D version of the program.

Squeak
Squeak is a "media authoring tool"-- software that you can download to your computer and then use to create your own media or share and play with others. Squeak is open source software - which means it has been created and developed by a body of individuals in a communal effort to broaden its ability and explore new realms of computing and media development.

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Problems of the Week

NRICH is sponsored by the University of Cambridge. Its aim is

  • to enrich mathematical experiences by giving students the opportunity to explore and engage with mathematical ideas.
  • To offer challenging activities which provide students with opportunities to develop their mathematics.
  • To foster a community where students can be involved and supported in their own learning and where effort and achievement is celebrated.

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Problems

Clay Mathematics Institute
Dedicated to increasing and disseminating mathematical knowledge. Support of individual research mathematicians, Projects to increase and disseminate mathematical knowledge, Programs to encourage talented young people to pursue a mathematical career, Awards which recognize extraordinary achievements in mathematics.

 
Index of Classroom Lessons
Math solutions online, a division of Marilyn Burns Education Associates. "The help you need to improve mathematics instruction"
 
Kids Math in Iwate, Japan
Yukio Sugawara is creating an online mathematics community of teachers and mathematics educators interested in creating effective ways to teach mathematics.
 

Millenium Prize Problems
In order to celebrate mathematics in the new millennium, The Clay Mathematics Institute of Cambridge, Massachusetts (CMI) has named seven “Millennium Prize Problems”.The Scientific Advisory Board of CMI selected these problems, focusing on important classic questions that have resisted solution over the years. The Board of Directors of CMI have designated a $7 million prize fund for the solution to these problems, with $1 million allocated to each.

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Professional Development

Lesson Research
The core of Japanese Professional Development

 
Lesson Study
Lesson study is a professional development process that Japanese teachers engage in to systematically examine their practice, with the goal of becoming more effective. This examination centers on teachers working collaboratively on a small number of "study lessons".
 

TIMMS
Trends in International Mathematics and Science Study (TIMSS) and Third International Mathematics and Science Study-Repeat (TIMSS-R) are the result of the need in the American education community for reliable and timely data on the mathematics and science achievement of our students compared to that of students in other countries.

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General Sites

Educypedia is an information resource about scientific and educational material: electronics, science, engineering, encyclopedia and information technology. All the links are tested with respect to content, no commercial links.

MAA Online Columns
The Mathematical Association of America has created this online resource of math education articles which highlight different math explorations such as "The Crazy Math of Airline Ticket Pricing" and "Solving an Ancient African Game".

 
Math Forum
A collection of math resources for all grades.
 
Maths Online: Gallery
The Gallery consists of interactive multimedia learning units on various issues that shall facilitate understanding. Technically, most units are Java applets, some are graphical supplements or other programs (JavaScript). For practice and (self) control, visit the collection of interactive tests.
Math with Hypathia
Hypatia was not only a a mathematician, she was a philosopher, a scientist and a teacher. Although things did not end well for Hypatia, at the end of our morning, we got to try some cool new math problems. Algebra!
Mega Mathematics
Mathematics is a live science with new discoveries being made every day. The frontier of mathematics is an exciting place, where mathematicians experiment and play with creative and imaginative ideas. Many of these ideas are accessible to young children.
 
National Council of Teachers of Mathematics
The National Council of Teachers of Mathematics is dedicated to providing vision and leadership necessary to ensure a mathematics education of the highest quality for all students.
 
Natural Math
Helping you to understand how the most important math question is why.
 
Pacific Institute for the Mathematical Sciences
Promoting public awareness of the importance of mathematics in the world around us.
 
Pi in the Sky
A semi-annual periodical designated for high school students in Alberta and British Columbia, Canada, with the purpose of promoting mathematics, establishing direct contact with teachers and students, increasing the involvement of high school students in mathematical activities, and promoting careers in mathematical sciences.
 
Polyhedra and Numbers
Puzzles with polyhedra and numbers. In this site one can print copies of polyhedron puzzles (for non-commercial purposes only) and one can read several mathematical articles on the subject.
 
Puzzles.com
The world's best resource for puzzling on the internet
 

SNAP
The SNAP Foundation is a group of persons who promote the use of nonroutine mathematical activities in the class room. The members of the SNAP foundation are educators from all levels and from a variety of occupations. The name is an acronym for our guidelines for an unconventional type of math fair.

  • Student-centered,
  • Non-competitive,
  • All-inclusive, and
  • Problem-based.
 
Strathmore High School's Math Web
 

Zoltan Dienes Mathematical Games
In this work, Zoltan Paul Dienes enlivens the world of algebra and examines some of the mysteries of mathematical constructions in a new and exciting fashion. Step by step, equation by equation, diagram by diagram, he strips away all the unintelligible jargon and brings each task and problem to life.

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  Reading List  
Anno, Mitsumasa and Masaichhiro
Anno's Mysterious Multiplying Jar
ISBN 0-399-20951-4
 
Anno, Mitsumasa and Tuyosi Mori
Anno's Three Little Pigs
ISBN 0-370-30898-0
 
Banks, Robert B.
Towing Icebergs, Falling Dominoes, and Other Adventures in Applied Mathematics
ISBN 0-691-10285-6
 
Bolt, Brian and David Hobbs
101 Mathematical Projects
ISBN 0-521-34759-9
 
Bolt, Brian
Mathematical Activities - A Resource Book for Teachers
ISBN 0-521-28518-6
 
Bolt, Brian
Mathematical Cavalcade
ISBN 0-521-42617-0
 
Brown, Stephen I.
Reconstructing School Mathematics - Problems with Problems and the Real World
ISBN 0-8204-5103-7
 
Conway, John H.
On Numbers and Games - 2nd Edition
ISBN 1-56881-127-6
 
Gardner, Martin
The Colossal Book of Mathematics
ISBN 0-393-02023-1
 
Holding, John
The Investigations Book - A resource book for teachers of mathematics
ISBN 0-521-40944-6
 
Livio, Mario
The Golden ratio: The Story of Phi, the World's Most Astonishing Number
 
Ma, Liping
Knowing and Teaching Elementary Mathematics - Teachers' Understanding of Fundamental Mathematics in China and the United States
ISBN 0-8058-2909-1
 
NCTM
The Open-Ended Approach - A New Proposal for Teaching Mathematics
ISBN 0-87353-430-1
 
Olivastro, Dominic
Ancient Puzzles - Classic Brainteasers and Other Timeless Mathematical Games of the Last 10 Centuries
ISBN 0-553-37297-1
 
Shasha, Dennis
Codes, Puzzles, and Conspiracy - A New Mathematical Thriller from Dr. Ecco...
ISBN 0-7167-2314-X
 
Shasha, Dennis
The Puzzling Adventures of Doctor Ecco
ISBN 0-486-29615-6
 
Sheldrick Ross, Catherine
Shapes in Math, Science and Nature - Circles
ISBN 1-55074-064-4
 
Sheldrick Ross, Catherine
Shapes in Math, Science and Nature - Squares
ISBN 1-55074-273-6
 
Sheldrick Ross, Catherine
Shapes in Math, Science and Nature - Triangles
ISBN 1-55074-194-2
 
Stigler, James W. & James Hiebert
The Teaching Gap - Best Ideas from the World's Teachers for Improving Education in the Classroom
ISBN 0-684-85274-8
 
Vaderlind, Paul, Richard Guy & Loren Larson
The Inquisitive Problem Solver - MAA Problem Books
ISBN 0-88385-806-1
 
Zebrowski, Ernest
A History of the Cirlce: Mathematical Reasoning and the Physical Universe