On My Mind: Proof and the Middle School Mathematics Student

1995 ◽  
Vol 1 (7) ◽  
pp. 516-518
Author(s):  
James M. Sconyers

Is proof perceived as being rigid and formal? Something that students should first encounter in high school? Does a concern involve students' having difficulty when they finally confront the idea of proof, perhaps in their high school geometry class? One likely reason for this unease with proof is that it is so often left out of any work in mathematics until students reach high school. They are then overwhelmed, since it is so unfamiliar. This outcome is not inevitable. Middle school students are capable of grasping the basic logic of proof and should be given the opportunity to encounter it.

2004 ◽  
Vol 9 (7) ◽  
pp. 392-397
Author(s):  
Brad Glass

Many of the new elementary sCHOOL and middle school mathematics curricula provide students with opportunities to encounter geometric transformations. Some of the curricula (e.g., MATHThematics, Math Trailblazers, and Investigations in Number, Data, and Space) introduce transformations (such as translations, reflections, and rotations) as motions (slides, flips, and turns) undergone by familiar shapes. How can we make the most of these experiences to ensure that our students are prepared for high school geometry courses? One way is to find out what students understand about transformations and to address any misconceptions they have regarding transformations. In working with eight eighth-grade prealgebra students, I identified one possible misconception as they completed a set of activities using The Geometer's Sketchpad (Jackiw 2001). The students focused on the path followed by a shape, rather than on the relationship between the preimage and image shapes, thereby leading them to incorrect conclusions regarding the equivalency of transformations. The technology-based activities helped some of the students begin to rectify this misconception.


1982 ◽  
Vol 75 (4) ◽  
pp. 288-290
Author(s):  
John Benson ◽  
Debra Borkovitz

The traditional high school geometry class can be enhanced by the addition of appropriate problem-solving activities. One such problem, the construction of a pentagon, can be divided into three worth-while tasks.


2009 ◽  
Vol 15 (4) ◽  
pp. 206-211
Author(s):  
Eric J. Knuth ◽  
Jeffrey M. Choppin ◽  
Kristen N. Bieda

Asking middle school students to verify the math they do requires them to think about proof. By doing so, students construct arguments in the middle school and are more ready for proof in high school.


2017 ◽  
Vol 7 (2) ◽  
pp. 376-376
Author(s):  
Linda Nicholas-Figueroa ◽  
Rebekah Hare ◽  
Mary van Muelken ◽  
Lawrence Duffy ◽  
Catherine Middlecamp

Sign in / Sign up

Export Citation Format

Share Document