The Birthday Paradox problem can be investigated either with a carefully constructed spreadsheet (for greatest precision) or a calculator process (for reasonable precision). A number of ways of approaching this problem as a class activity are provided.

Prospective teachers and cryptography students use programming, statistics and guile to enrich both their courses.

This paper investigates students' mathematical modeling activity in data-rich modeling tasks. It aims at gaining insight into how students develop meaning when modeling data-rich situations and the mathematical models produced. A tendency to model a particular dataset, rather than the phenomenon that the dataset is a particular instance of, has…

This document presents a review of evidence commissioned by the Education Endowment Foundation to inform the guidance document "Improving Mathematics in Key Stages Two and Three" (Education Endowment Foundation, 2017). The review draws on a substantial parallel study by the same research team, funded by the Nuffield Foundation, which…

The study documents the extent to which high school teachers reflect on their need to revise and extend their mathematical and practicing knowledge. In this context, teachers worked on a set of tasks as a part of an inquiring community that promoted the use of different computational tools in problem solving approaches. Results indicated that the…

Five calculator activities are described that are designed to explore ordered operations. Suggestions are given on mathematical objectives, strategies for solving, and possible extensions or follow-up activities. (MP)

A calculator activity, described as a bingo game, emphasizes speedy calculations as well as problem solving. (JT)

Several problems that can be used with calculators are provided. Teaching tips and references are included. (MNS)

Three games in which the calculator plays an important facilitating role are presented. It promotes a "guess then adjust your guess" strategy. The games are described within the context of elementary, junior high, and secondary classrooms. (MNS)

Calculators are seen to shift the student focus in problem-solving situations from "how to do it" to "what to do," by keeping computation from standing in the way when pupils write or solve problems. (MP)

The author recommends allowing elementary students to use pocket calculators, so that they may concentrate on the sense of a math problem without getting bogged down in computation. He presents calculator activities on place value, estimation, and arithmetic operations, suitable for grades 1-6. (SJL)

Presented are twenty essays related to applications in school mathematics and aimed at the classroom teacher. The essays use numerous examples and illustrations that provide the teacher with something tangible for immediate use. Four thematic areas are addressed: (1) What are applications?; (2) Why include applications in school mathematics?; (3)…

An activity for secondary schools is presented and discussed which may be explored with a programmable calculator. The activity is non-standard and could not be easily explored without the use of a programmable calculator. Related activities are also discussed. Flow charts and programs for different programmable calculators are presented. (MP)

This section has four topics: (1) sample mathematical competency problems for Indiana Elementary Teachers circa 1920; (2) an unusual problem suitable for calculators; (3) a unique way for teaching rounding off numbers; and (4) student construction of problems that create words on calculator displays when they are turned upside down. (MP)

This material is a product of a cooperative project of the Cincinnati Public Schools, the Detroit Public Schools, and CEMREL, Incorporated. The Teaching of Problem Solving (TOPS) project began in the 1980-81 school year under CEMREL's contract with the Basic Skills Improvement Office of the United States Department of Education. The approach used…