The basis of this intervention study is a distinction between numerical calculus and relational calculus. The former refers to numerical calculations and the latter to the analysis of the quantitative relations in mathematical problems. The inverse relation between addition and subtraction is relevant to both kinds of calculus, but so far research…

We find that students in the big mathematics service courses at the Johns Hopkins University who were encouraged to use calculators in K-12 have somewhat lower grades than those who weren't.

Presents an exploration of conversation in a single episode of a 12th grade girls' calculus class. Analyzes Habermasian communicative competence which requires students to show critical thinking and the ability to express their views. Explains learning outcomes by teachers' mode of questioning, cooperative endeavor by students, instructional…

Compared was the mathematical performance of secondary school students for whom a graphic calculator was a standard mathematical tool, with that of students of similar background without regular access to graphing technology. Increased achievement on symbolization tasks, especially for females, was shown for students who used the graphing…

The importance of teaching computational estimation is discussed, with note of its increased significance because of widespread use of calculators and the need to develop number sense. The reason for its failure to be taught is traced to the multiplicity of methods, and some detailed suggestions are therefore presented. (MNS)

Offers 3 teaching designs developed for 12- to 16-year-old pupils taking into account personal differences in gender, culture, knowledge, and use of calculators. The designs concern the representation of three-dimensional objects in the plane, directions and great circles on the sphere, and exploration of the integrating calculator. (Contains 31…