


21 May 2001 Vol. 6, No. 21
THE MATH FORUM INTERNET NEWS
Grades 6-8 i-Math Investigations - NCTM
Oregon Curriculum Network - Urner | Linear Algebra Toolkit - Bogacki
THE FACTOR GAME
Grades 6-8 i-Math Investigations - NCTM
http://Illuminations.nctm.org/imath/6-8/FactorGame/
To play the Factor Game, one person selects a number on the board
and colors it red. The second person identifies all the uncolored
proper factors of the first person's number, and colors them blue.
The roles are switched and the play continues until there are no
numbers remaining with uncolored factors. Each person adds up the
numbers they have colored. The winner is the person with the
largest total. Players then walk through an analysis of game
strategies and an introduction to the definitions of prime and
composite numbers.
"The Factor Game" is one of four i-Math Investigations
currently available for Grades 6-8. They are ready-to-use,
online, interactive multimedia math investigations, each
offering:
- student investigations
- teacher notes
- answers
- related professional development activities
The other three titles for Grades 6-8 include:
- Analyzing Numeric and Geometric Patterns of Paper Pool
http://Illuminations.nctm.org/imath/6-8/pooltable/
- Simulating Probability Situations Using Box Models
http://Illuminations.nctm.org/imath/6-8/BoxModel/
- Exploring Histograms
http://Illuminations.nctm.org/imath/6-8/BarChart/
A fifth i-Math Investigation, Gathering Evidence About
Students' Understanding of Volume, is forthcoming.
Each of these activities has a student version that can also
be downloaded to use offline.
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THE OREGON CURRICULUM NETWORK - Kirby Urner
http://www.inetarena.com/~pdx4d/ocn/
Kirby Urner provides background reading and curriculum
outlines on a variety of mathematical topics, as well as
information about his philosophy and methods.
Sections include:
- My Philosophy of Education
- Some Autobiography
- Symbols and Operations
Algorithms
Computer Languages
- Spatial Concepts
Static Networks
Euler's Law
Descartes' Angular Deficit
Taxonomies of Polyhedra
Concentric Hierarchy
Rotating Networks
Symmetry Families
Macro & Micro Architecture
Symmetry
- Topics for Exploration
The Calculus
Spatial Investigations
Dynamical Systems
- Trends in Early Math Education
- An Overview of My Approach
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LINEAR ALGEBRA TOOLKIT - Przemyslaw Bogacki
http://www.math.odu.edu/~bogacki/lat/
A Web "toolkit" for learning and practicing basic linear
algebra procedures, such as Gauss-Jordan reduction,
calculating the determinant, or checking for linear
independence.
Modules include:
- Systems of linear equations and matrices
Row operation calculator
Transforming a matrix to row echelon form
Transforming a matrix to reduced row echelon form
Solving a linear system of equations
Calculating the inverse using row operations
- Determinants
Calculating the determinant using row operations
- Vector spaces
Linear independence and dependence
Determining if the set spans the space
Finding a basis of the space spanned by the set
Finding a basis of the null space of a matrix
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