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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. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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 -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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 -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problems of the Week http://mathforum.org/pow/ Mathematics Library http://mathforum.org/library/ Teacher2Teacher http://mathforum.org/t2t/ Discussion Groups http://mathforum.org/discussions/ Join the Math Forum http://mathforum.org/join.forum.html Send comments to the Math Forum Internet Newsletter editors _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \ |

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