Carmen Bellido, Uroyoan Walker, and Keith Wayland wrote a
position paper that is a "How To" guide for developing higher conceptual level questions that provoke students to think.
Several techniques for modifying traditional questions are
illustrated with examples ranging from elementary to high school level topics.
For additional topics see our library at: http://hub.mspnet.org/index.cfm/library
Cabri Jr. is cataloged in Math Tools, a community library of
technology tools, lessons, activities, and support materials
for teaching and learning mathematics.
Promising Practice Research and Teaching Tips
Problem Solving Strategies – Math
Learning how to solve problems in mathematics is knowing what to look for. Math problems often require established procedures and knowing what and when to apply them. To identify procedures, you have to be familiar with the problem situation and be able to collect the appropriate information, identify a strategy or strategies and use the strategy appropriately. G. Polya wrote a book titled 'How To Solve It' in 1957. Many of the ideas that worked then, continue to work for us now. The steps below are very similar to those expressed in Polya’s book.
Problem solving requires practice! The more your practice, the better you get.
RHOMBIC DODECAHEDRON - HIDDEN WITHIN OR SURROUNDING THE CUBE?
In this classroom activity, a PCMI Resource for Teachers,
the interconnections between a cube and a rhombic
dodecahedron are illustrated. The authors, Joyce Frost and Kris Koch, list these objectives:
- Increase students' and teachers' understanding of
important geometrical concepts through the construction
and analysis of three-dimensional models.
- Analyze and compare properties of the cube and its
corresponding rhombic dodecahedron by dissecting and transforming the solid cube.
- Develop mathematical arguments about geometric
relationships of the cube and its corresponding rhombic
dodecahedron.
View other PCMI Resources for Teachers:
http://mathforum.org/pcmi/hstp/resources.html
PCMI is an outreach program of the School of Mathematics
at the Institute for Advanced Study. Geometry is the theme of one of six working groups meeting this summer in June/July. For more information on the program, view the PCMI @ MathForum site.
NMSU through its MathStar and Lesson study projects have a large collection of math education lessons in bilingual classrooms. WE have permission to use all of the video from parents and kids and teachers.
Best contacts here are Cathy Kinzer cakinzer@nmsu.edu or Rocio Benedicto(rojustus@nmsu.edu). WE have really done some very good work with ELL and bilingual students in math and we'd like to play more.
Dr. Karin Wiburg, Associate Dean for Research
College of Education
505-646-1407
kwiburg@nmsu.edu
The Master of Arts in Teaching degree is designed for certified mathematics teachers who desire further training in mathematics and mathematics education. The program includes a prescribed minor in education and is offered under the extended coursework plan only (which includes a comprehensive examination). The courses in the program emphasize connections between middle school, high school, and college mathematics content, effective pedagogy, and reflective practice.
For regular admission to the M.A.T. program in mathematics you must: have earned a bachelor's degree; have completed 27 semester hours of undergraduate mathematics at the level of calculus or above; and have a 3.0 grade point average in these courses. In addition, you must have a valid teaching certificate.
The program's classes are offered online with some on-site delivery in the Greater Phoenix area. There are some in-person requirements for this degree, including oral comprehension exams that must be taken in flagstaff.
For more details contact:
NAU-Showlow
P.O.B. 3411
Flagstaff, AZ 85902
928-537-9228
www.math.nau.edu
Provides more than 200 instructional units in arithmetic, algebra, calculus, data analysis, fractions, geometry, number theory, pre-algebra, pre-calculus, probability, statistics, and trigonometry. The units are developed by teachers attending summer institutes sponsored by the National Security Agency.
In this series, host Sol Garfunkel explains how algebra is
used for solving real-world problems. Look for the "VoD" icon to play video online.
Free sign up is required for first-time users. Hearing the
sound and viewing the video require Windows Media Player, a Javascript-enabled browser, and a broadband connection: DSL,a cable modem, or a LAN connection to a T1 line or greater.
More information is provided here:
http://www.learner.org/faq/faq_broadband.html
Annenberg Media's multimedia resources are designed to help
teachers increase their expertise in their fields and assist them in improving their teaching methods. Former names of Annenberg Media are: Annenberg/CPB, The Annenberg/CPB Project, and The Annenberg/CPB Math and Science Project.
Use the "Browse Teacher Resources:" pull-down menu to view
other resources by discipline and by grade.
Michael Kelley is in the process of creating Flash tutorials that explain calculus audio-visually and are the equivalent of a personal tutoring session.
Available lessons include:
Chapter One: Limits and Continuity
- What is a Limit?
- When Does a Limit Exist?
- How Do You Evaluate Limits?
- Limits and Infinity
- Continuity
- The Intermediate Value Theorem
Chapter Two: Finding Derivatives
- The Difference Quotient
- The Power Rule
- The Product Rule
- The Quotient Rule
- The Chain Rule
Calculus on the Web offers an interactive environment for learning, practicing, and experimenting with the ideas and techniques of calculus. It is organized in seven parts: Precalculus; Calculus I, II, and III; Linear Algebra; Number Theory; and Abstract Algebra. http://www.math.temple.edu/%7Ecow/
We are pleased to say that we're providing hundreds of Singapore Math worksheets on our website for free, complete with model answers. Access thousands of word problems usign the famous 'bar modeling' method and other topical papers and model examination papers. All you have to do is register your particulars with us, no other obligation.
Crick Elementary School in Crick, Northampton, England, has
compiled these Macromedia Flash resources to support whole class teaching and learning in their school:
- Place Value Calculator
- Screen Calculator
- Virtual HTU Place Value Cards
- Hundred Square
- Tables Tester
- 12 Hour Clock
- Counter
- 24 Hour Clock
- Double Dutch
- Doubles Tester
- Sequences
- 10 Digit Number Line
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