This work addresses the subject of mathematics education at secondary schools from a current and stimulating point of view intimately related to computational science. Cryptology is a captivating way of introducing into the classroom different mathematical subjects such as functions, matrices, modular arithmetic, combinatorics, equations,…

This paper focuses on the different ways in which students in lower secondary school (14-16 year olds) experience compound random events, presented to them in the form of combined junctions. A carefully designed ICT environment was developed enabling the students to interact with different representations of such structures. Data for the analysis…

This article describes a professional development course intended to improve the content understanding of middle school mathematics teachers. The design of the course included three professional learning strategies: problem solving, examination of student thinking, and discussion of research. The concepts studied in the course included multi-digit…

Instructional strategies make a difference in whether students are engaged in learning and are profiting from their time in class. High schools, technology centers and middle grades schools are encouraging teachers to adopt new teaching techniques and are providing opportunities for teachers to work together to improve their instructional skills…

The Problems of the Week (PoWs) are creative, non-routine math challenges for elementary-, middle-, and high-school-level students. They are designed to stimulate student interest in problem solving and to encourage them to communicate their mathematical thinking. This Teacher's Guide describes program features and provides strategies for…

Borrowing the concept of story grammar from reading comprehension literature, the purpose of this study was to examine the effect of teaching "word problem (WP) story grammar" on arithmetic WP solving that emphasizes the algebraic expression of mathematical relations in conceptual models. Participants were five students in Grades 4 and 5 with or…

Background: The study investigated a small range of cognitive abilities, related to visual-spatial intelligence, in adolescents. This specific range of cognitive abilities was termed "graphic abilities" and defined as a range of abilities to visualise and think in three dimensions, originating in the domain of visual-spatial…

A high school teacher's flexible and comprehensive mathematical content conceptions supported his implementation of an innovative curricular approach to functions. The teacher (Mr. Allen) was studied for 2 years, and this paper focuses primarily on year 2 findings about the subtle but meaningful changes which were noticeable in Mr. Allen's…

This teacher's guide features step-by-step instructions for activities that use easily-obtained and inexpensive materials as well as background information, literature connections, and assessment ideas. The activities are designed for children in preschool through first grade. Lesson descriptions include suggestions for modifying the activities to…

This document and accompanying video and audio tapes are designed for children in their first year at school. Each tape contains three items designed to supplement the early stages of learning mathematics: songs, stories, and activities. On each tape there is a story about Farmer and Mrs. Dobbs who live on Honeypot Farm with a varied assortment of…

Both good art teaching and good mathematics teaching are based on shared language, problem solving, and planned experiences with many materials to develop concepts and practice skills. This book provides a framework of activities by year level that integrate mathematics and art to enrich the elementary classroom. Each activity lists mathematics…

Four experiments investigated college students' judgments of inter-event contingency. Subjects were asked to judge the effect of a discrete response (tapping a wire) on the occurrence of a brief outcome (a radio's buzzing). Pairings of the possible event-state combinations were presented in a summary table, an unbroken time line, or a broken time…

The author cites statements by Augustus DeMorgan (1831) and three educational commissions organized during the mid-nineteenth century to show that concern with understanding of mathematics has long been a concern of mathematics educators. (SD)

Two approaches to the teaching of logarithms are described. One is essentially algebraic while the other involves integration. (SD)

The use of flow charts in the teaching of college mathematics enhances students' understanding of mathematical processes. Used appropriately in elementary and secondary schools they could also nurture understanding of algorithms. (SD)