The Prospect Park Biodiversity Project was a SENCER collaboration project between the Departments of Biological Sciences, Chemistry, and Mathematics at the New York City College of Technology. The goal of this project was to enhance students' participation and learning in STEM disciplines through a civically engaged framework. The project utilized…

Integration of history of mathematics (HOM) in mathematics education is emerging as frontier endowed with utility to stem decline in uptake, enhance performance and alter the negative perceptions about the subject. This case study sought to explore the influence of history of mathematics on grade eleven girls' perceptions of the Theorem of…

This paper charts the design and application of a system to support 11-14 year old students' learning of algebraic generalisation, presenting students with the means to develop their understanding of the meaning of generality, see its power for mathematics and develop algebraic ways of thinking. We focus squarely on design, while taking account of…

Several years ago we presented an experimental, discovery-learning approach to the active learning of greedy algorithms. This paper presents GreedEx, a visualization tool developed to support this didactic method. The paper states the design goals of GreedEx, makes explicit the major design decisions adopted, and describes its main characteristics…

The importance of teaching mathematics as a body of strategies and methods of inquiry is stressed; examples of situations which emphasize skills in classification, generalization, using symbols, and proof are given. (DT)

Reports on two pieces of original mathematics that were created by children. The first is a new algorithm for subtracting developed by a third grader and the second is an attempt to discover the open sentences for the graph of a vertical line developed by a second grader. (RP)

Reported are the suggestions indicated by research studies to seven questions concerning what is known about the teaching and learning of mathematics. (1) What factors influence the learner's achievement? Answer: Age, intelligence, and the amount of structuring present in the materials. (2) Are there guides for motivation? Answer: Games, concrete…

Contemporary education theory (and official South African policy) underwrites learner-centredness. I analyse learner-centredness as a possible piece of the puzzle about why it is proving so difficult to improve academic achievement. Learner-centred ideas are grounded in the belief that cognitive abilities develop spontaneously in accordance with a…

A situation is presented that is intended to lead to open-ended mathematical discussions that allow students to conjecture, discover, and prove mathematical statements. (MP)

The operation of rounding is shown to lead into an investigation of an abstract mathematical system. Properties of the system are discussed and graphs of the rounding function are drawn. Some questions for discussion are given. (MP)