Before the second generation of graphing calculators with true symbolic manipulation capabilities start influencing the mathematics classroom, it is important to ponder on the main contributions made by the first generation. In this note we present five of these contributions via a selection of examples that illustrate the impact of numerical and graphical capabilities, multiple representations...

for a given graph $g=(v,e)$, let $mathscr l(g)={l(v) : vin v}$ be a prescribed list assignment. $g$ is $mathscr l$-$l(2,1)$-colorable if there exists a vertex labeling $f$ of $g$ such that $f(v)in l(v)$ for all $v in v$; $|f(u)-f(v)|geq 2$ if $d_g(u,v) = 1$; and $|f(u)-f(v)|geq 1$ if $d_g(u,v)=2$. if $g$ is $mathscr l$-$l(2,1)$-colorable for every list assignment $mathscr l$ with $|l(v)|geq k$ ...

Despite the massive investment of time and money in information technology it is difficult to get clear evidence of ‘value-added’ in relation to IT use in our schools. This comparative study was conducted to investigate if there are any advantages to pupils using computer generated graphs as opposed to plotting them manually. The context of the study was a secondary science practical activity i...

Graphing has long counted as one of the quintessential process skills that scientists apply independently of particular situations. However, recent expert/expert studies showed that when asked to interpret graphs culled from undergraduate courses of their own disciplines, scientists were far from perfect in providing interpretations that a course instructor would have accepted as correct. Drawi...

One unique feature of the computer as a teaching and learning tool is visualization. This powerful visualization capacity of the computer is unprecedented and incomparable with all other traditional teaching aids. Now abstract concepts that have proved difficult for teachers to explain or for students to grasp using traditional teaching approaches or aids can now easily be produced and understo...

In this paper we generalize the remainder cordial labeling, called $k$-remainder cordial labeling and investigate the $4$-remainder cordial labeling behavior of certain graphs.