High School Students’ Difficulties in Making Mathematical Connections when Solving Problems

Mathematical Mayhem Mayhem Problems High School Problems

The readers of this article should be familiar with modular arithmetic, and may also recall Sophie Germain's identity. This article deals with an application of the identity in solving the equation 3 + 4 = 5. A word about the identity As the name says, Sophie Germain's identity was rst discovered by Sophie Germain. It reads a 4 + 4b = a + 4ab + 4b 4ab = (a + 2b) 4ab = (a + 2ab+ 2b)(a 2ab+ 2b) ....

Effects of Mathematical Word Problem–Solving Instruction on Middle School Students with Learning Problems

Mathematics is integral to all areas of daily life; it affects successful functioning on the job, in school, at home, and in the community. The importance of mathematics literacy and problem solving is emphasized in the Goals 2000: Educate America Act of 1994 and National Council of Teachers of Mathematics’ Principles and Standards for School Mathematics (NCTM, 2000; Goldman, Hasselbring, & the...

Cognitive processes developed by students when solving mathematical problems within technological environments

Mathematical Mayhem Mayhem Problems High School Solutions

The Mayhem Problems editors are: Adrian Chan Mayhem High School Problems Editor, Donny Cheung Mayhem Advanced Problems Editor, David Savitt Mayhem Challenge Board Problems Editor. Note that all correspondence should be sent to the appropriate editor | see the relevant section. In this issue, you will nd only solutions | the next issue will feature only problems. We warmly welcome proposals for ...

Assisting students with argumentation plans when solving problems in CSCL

In CSCL systems, students who are solving problems in group have to negotiate with each other by exchanging proposals and arguments in order to resolve the conflicts and generate a shared solution. In this context, argument construction assistance is necessary to facilitate reaching to a consensus. This assistance is usually provided with isolated arguments by demand, but this does not offer st...