Standards for Technological Literacy: Content for the Study of Technology was released in April 2000 by the International Technology Education Association (ITEA, 2000). This was the first attempt by the ITEA to set forth comprehensive specifications regarding what students should know and be able to do within each of four grade bands from…

Computer algebra methods based on results of commutative algebra like Groebner bases of ideals and elimination of variables make it possible to solve complex, elementary and non elementary problems of geometry, which are difficult to solve using a classical approach. Computer algebra methods permit the proof of geometric theorems, automatic…

The paper's aim is to note a remarkable (and apparently unknown) relation for right triangles, its generalisation to arbitrary triangles and the possibility to derive these and some related relations by elimination using Groebner basis computations with a modern computer algebra system. (Contains 9 figures.)

A mathematician's work consists of proving theorems, calculating, and making mathematics understandable. An assistant for all three components is a Computer Algebra System. We describe and discuss various CAS-assisted processes for proving theorems, and discuss the constraints which can appear regarding efficiency, confidence in the result and…

This paper extends and develops theories of mathematical learning to provide a framework for the analysis of classroom video data of students working at a computer in a task aimed at increasing understanding of multiple representations of quadratic functions. Student interactions are coded using novel software tools in the process of analysis, and…

This paper recounts the experiences of eighteen student teachers who used graphics calculators to teach mathematics in secondary schools. As part of their formal assessment, they submitted twenty accounts, listing the problems and benefits they had encountered in the course of using this technology. These accounts are analysed in terms of the…

Hocking College, like many institutions of higher learning, has struggled to define, document, and assess those general skills deemed necessary for success in the workplace and life. The mathematics faculty have spent many years developing appropriate tools for assessment of student academic achievement. Although the process has taken several…

Number sense is easy to recognize but difficult to define and hence, to teach. In this article, number sense is defined in terms of the knowledge known to underline it, as identified in cognitive developmental theory and research. A preK-2 mathematics program, called Number Worlds, that was specifically developed to teach this knowledge is…

Already at a very young age, children experience the wide applicability and intrinsic simplicity of linear/proportional relations. In primary and secondary school mathematics education, moreover, extensive attention is paid to this type of relations. In the long run, students develop the misbelief that each relation can be quantified as…

This paper concerns the relationship between learning English as an additional language (EAL) and school mathematics. In bilingual education, Cummins has proposed a distinction between coercive and collaborative power-relations as an important consideration in the education of such students, advocating collaboration as a means to empower such…

This quantitative-qualitative study seeks to determine the effectiveness of TIMS (Thomasian Interactive Multimedia Software) in teaching the introductory topics in Trigonometry. The acceptability of the software to the student respondents was established using the content, design, interface, and effectiveness of the media used as the evaluation…

This paper describes the use of Kid Pix-graphics software for creative activities of young children--in the context of early algebra as determined by the mathematics core curriculum of New York state. It shows how grade-two appropriate pedagogy makes it possible to bring about a qualitative change in the learning process of those commonly…

This paper draws on videotapes of mathematics lessons prepared and conducted by pre-service elementary teachers towards the end of their initial training at one university. The aim was to locate ways in which they drew on their knowledge of mathematics and mathematics pedagogy in their teaching. A grounded approach to data analysis led to the…

This paper examines two types of discourse in which teachers engage when discussing case studies based on classroom episodes, and the ways in which the availability of video data of these episodes may motivate a shift in the mode of discourse used. We interviewed two pairs of secondary school mathematics teachers after they had read a case study…

Deficiencies in mathematics achievement in the United States have spurred calls for reform in K-12 curricula and pedagogy. Based on contemporary learning theories, numerous curriculum programs have been developed that emphasize problem solving, critical thinking, mathematical connections, and mathematical communication. These innovations require…