This third edition of the best-selling "Mathematics in Nursery Education" provides an accessible introduction to the teaching of mathematics in the early years. Covering all areas of mathematics learning--number and counting, calculation, pattern, shape, measures and data handling--it summarises the research findings and underlying key concepts…

Explores trapezoidal numbers, which are the result of subtracting two triangular numbers. Includes classroom activities involving trapezoidal numbers to help students develop their problem-solving skills. Includes reproducible student worksheets. (MKR)

Presents solutions for a problem concerning doubling a recipe from a previous article on number concepts in the October 1997 issue. (ASK)

Results obtained from investigating number properties are discussed, along with six points that are felt, in general, to be the ingredients necessary for a successful learning experience. Two programs written in BASIC designed to aid in aspects of Number Theory are included. (MP)

Empty food containers can be used to have students devise mathematical problems. Sample questions that might be asked about two food boxes are included. (MNS)

Demonstrated is how the concept of equivalence classes modulo n can provide a basis for solving a wide range of problems. Five problems are presented and described to illustrate the power and usefulness of modular arithmetic in problem solving. (MNS)

The problem of placing stamps on a grid is presented, with variable forms of the problem and various levels of the solution described. (MNS)

Problems which can be solved or partially solved by the Gregory Interpolation Formula are presented. The formula is explained and applied to three problems. (MNS)

A history of perfect numbers is presented, which briefly covers the 27 values known at this time. (MP)

Shares some explorations of Fibonacci sequences with a special focus on problem-solving and posing processes. (ASK)

The focus is on multi-step problems, with suggestions on helping students understand the mathematical relations, decide which computational procedures to use, and identify the sequence in which computations should be performed. An activity to aid understanding of variables is also included. (MNS)

Problems are discussed in which addition facts are presented using words instead of numbers. The letters are then replaced by numbers that will make the addition problems correct. (MP)

How can a chain with 63 links be cut in 3 places so that you could hand a person any number of links from 1 to 63? Considers variations on the problem and derives a general formula. (TO)

Presents activities that allow primary grade students to develop specific thinking strategies for basic facts such as counting on, using doubles, and making 10 in problem-solving settings. Discusses other topics such as probability, spatial sense, and money. Offers rich opportunities for reasoning and communication. (ASK)

This document is a collection of over 200 classroom-ready activities which cover the five strands--Number, Space, Measurement, Chance and Data, and Problem Solving--outlined in Mathematics: A Curriculum Profile for Australian Schools. Each activity is a separate photocopy master, the front for the students to use and the back an assessment page…