Geometric Conjectures: The Importance of Counterexamples

2003 ◽  
Vol 9 (4) ◽  
pp. 210-215
Author(s):  
Jeffery J. Boats ◽  
Nancy K. Dwyer ◽  
Sharon Laing ◽  
Mark P. Fratella
Keyword(s):  
Middle School ◽  
Pattern Recognition ◽  
Middle School Mathematics ◽  
School Mathematics ◽  
Mathematics Students ◽  
Reasoning Skills ◽  
Principles And Standards

TO DEVELOP STUDENTS' REASONING SKILLS, the NCTM's Principles and Standards for School Mathematics (2000) recommends that students make generalizations and evaluate conjectures. In particular, middle school mathematics students should be engaged in activities involving pattern recognition as a means of formulating such conjectures.

Call for Manuscripts: Mathematical Explorations: November 2010

2010 ◽  
Vol 16 (4) ◽  
pp. 249
Keyword(s):  
Middle School ◽  
Middle School Mathematics ◽  
School Mathematics ◽  
Mathematics Students

The intent of “Mathematical Explorations” is to provide classroom-tested explorations that are ready for teachers to use with their middle school mathematics students.

Teacher to Teacher: The Pentomino Square Problem

2003 ◽  
Vol 8 (7) ◽  
pp. 354-355
Author(s):  
William D. Jamski
Keyword(s):  
Middle School ◽  
Middle School Mathematics ◽  
School Mathematics ◽  
Mathematics Students

During part of a presentation to some middle school mathematics students, right before a vacation from school, we looked at pentominoes. (Pentominoes are shapes made from five congruent squares attached to each other along full sides.) See figure 1's illustration of the definition; two examples are pentominoes, one is not.

Call for Manuscripts: Mathematical Explorations

2009 ◽  
Vol 15 (4) ◽  
pp. 205
Keyword(s):  
Middle School ◽  
Middle School Mathematics ◽  
School Mathematics ◽  
Mathematics Students

“Mathematical Explorations” is a new department in MTMS. The intent is to provide classroom-tested explorations that are ready for teachers to use with their middle school mathematics students.

Call for Manuscripts: Mathematical Explorations

2010 ◽  
Vol 16 (1) ◽  
pp. 13
Keyword(s):  
Middle School ◽  
Middle School Mathematics ◽  
School Mathematics ◽  
Mathematics Students

The intent of “Mathematical Explorations” is to provide classroom-tested explorations that are ready for teachers to use with their middle school mathematics students.

The Arithmetick of Lewis and Clark and the Corps of Discovery

2004 ◽  
Vol 9 (9) ◽  
pp. 471-474
Author(s):  
William D. Jamski
Keyword(s):  
Middle School ◽  
Mathematics Teachers ◽  
Middle School Mathematics ◽  
School Mathematics ◽  
Mathematics Students ◽  
Louisiana Purchase ◽  
Lewis And Clark

“WHO WOULD EVER USE THIS stuff?” Middle school mathematics teachers often respond to such questions by emphasizing connections and the need for students “to recognize and apply mathematics in contexts outside mathematics” (NCTM 2000, p. 64). Within this framework, the bicentennials of the Louisiana Purchase (1803) and the Lewis and Clark Expedition (1803–1806) provide the following situation that can be presented to middle school mathematics students in a historical setting that integrates mathematics applications and processes with science, finance, geography, and other topics.

Call for Manuscripts: Mathematical Explorations – September 2011

2011 ◽  
Vol 17 (2) ◽  
pp. 87
Keyword(s):  
Middle School ◽  
Middle School Mathematics ◽  
School Mathematics ◽  
Mathematics Students

The intent of the Mathematical Explorations department is to provide classroom-tested activities that are ready for teachers to use with their middle school mathematics students.

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