Background/purpose: The Computational Thinking ability has become a fundamental skill in the 21st century and has been integrated into educational curricula in various countries. For this curricular integration to be effective, it is essential that teachers are prepared to incorporate the development of this competency into their practices. In…

Schools are facing increasing demands to prepare students for rapid economic, environmental and social changes, for jobs that have not yet been created, for technologies that have not yet been invented, and to solve social problems that have not yet been anticipated. Underpinning the E2030 project is the premise that education needs to do more…

This paper explores the correlation between mental calculation performance and the frequency of using written algorithms in mental calculation tasks. Mental calculation is a mathematical tool used in everyday life situations during and after our formal education. After presenting an overview of the professional literature on this topic, the paper…

As we move further into the digital age, the acquisition of digital literacy (DL) and computational thinking (CT) skills is emerging internationally as an essential goal for students in contemporary school curricula. As the world becomes more uncertain and volatile due to impacts of artificial intelligence (AI), international unrest, climate…

Considers traditional ways in which attempts have been made to help students become fluent in mathematics and offers a model for ways in which fluency can be achieved with a more economic use of students' time and effort than through traditional models of exercises based on repetition. (MKR)

The purpose of this conference sponsored by the French Commission of the Methods of Teaching was to give deep reflection as to the place of algorithms in the teaching curriculum and learning of mathematics. Devoted to the concept of new teaching methods at levels 1-4 of compulsory school education, the debates of this seminar were an occasion for…

A generalized method of synthetic division where the divisor polynomial may be of any degree equal to or larger than 1, and the dividend polynomial may be of equal or larger degree than the divisor polynomial and a generalization of the familiar remainder theorem, are presented. (Author/MK)

Examines problem-solving results among second-grade students in three schools that were all using a reformed mathematics curriculum. Except for one problem, more students used a mental procedure than the standard written algorithms, and both methods were used with approximately the same degree of accuracy. (AIM)

Two alternatives are given to the decomposition and equal addition subtraction algorithms. (MK)

Considered are what discrete mathematics includes, some parallels and differences between new math and discrete mathematics (listed in a table), and lessons to be learned. A list of references is included. (MNS)

The author feels teaching division of fractions is worthwhile because it will help students understand other algorithms. (MK)

The multiplication and division algorithms that are taught in German schools are presented. It is suggested that these algorithms may be better than standard algorithms in terms of development of useful concepts and processes. (MK)

Three short essays provide teaching suggestions for lessons on base two, order of operations, and ratios used to motivate a number of mathematical ideas. (MK)

The author and many illustrious co-signers sent an open letter to the U.S. Department of Education protesting a report designating 10 "exemplary" or "promising" math programs. The programs over-emphasize data analysis and statistics, de-emphasize arithmetic and algebra, and advocate early calculator use, which can undermine…

Discrete mathematics and finite mathematics differ in a number of ways. First, finite mathematics has a longer history and is therefore more stable in terms of course content. Finite mathematics courses emphasize certain particular mathematical tools which are useful in solving the problems of business and the social sciences. Discrete mathematics…