One view of mathematical thinking is described, followed by detailing of the characteristics of a problem-solving program necessary to develop this kind of thinking. (MNS)

Use of the computer to simulate or imitate probability problems that are difficult to analyze in any other way is discussed. How the Monte Carlo method works is clarified, with sample problems and programs. (MNS)

Two activities are presented. The first involves geometric concepts using the alphabet, while the second is a game to provide practice in finding factors of composite numbers. (MNS)

Using data about companies with which children have first-hand experience (such as McDonald's or Mattel Toys) piques interest in graphing activities. How the project is developed, with group and individual activities, is described. (MNS)

Presents a problem-solving activity in which students first guess and then check their answer. Also presents an activity to help students develop skill in understanding the question in a problem and a suggestion to help develop a classroom climate conducive to problem-solving. (JN)

Discusses the nature of and the steps involved in a mathematical investigation, suggesting that a mathematical investigation can be used as a tool for developing mathematical processes in learners. Several examples of investigations suitable for secondary levels are included. (JN)

Fifteen mathematical puzzles and problems are presented. Areas investigated include pentominoes, arithmetic, fractions, and dissections (dissecting) a shape into two pieces that can be fitted together to form a square. Answers for each puzzle and problems are included. (JN)

Two map posters are provided. Younger children can use a neighborhood map to locate information and trace paths, while older children can use a wilderness map to read scales. The emphasis is on problem solving with both maps. (MNS)

Three types of mathematics relevance are discussed: vicarious, artificial and long-term. Using mathematics to make things happen, solving a real problem, and planning an event are then described. (MNS)

A problem-solving approach involving systematic experimentation, one of the most-used problem-solving strategies, is advocated since it is useful beyond mathematics problems. Examples of its use are given, with two problems explored and four others noted. (MNS)

Descriptions are given of how groups aged 7, 10, and 13 tackled the problem of how many squares are on a chessboard. Teachers noted that often the less able children were the ones with ideas, whereas the able ones became impatient and were unwilling to go on trying. (MNS)

Intermediate and junior high school students became very involved with this learning activity which involved detective work. Working in groups, students had to solve a riddle based on a sequence of clues. The answer to each set of clues was either a person, an event, or a place. (RM)

From an educational perspective, involving students in school design provides a rich learning experience. Students must reflect on the world around them and develop practical solutions to everyday problems. Design-based activities make them think about the learning environment, prompting them to consider where and why they learn best. Such…

The "Everyday Learning" series has been developed to focus attention on the everyday ways in which children can be supported in their growth and development. It is for all those who are involved in children's development and learning, including people caring for young children in their own or others' homes, such as parents, grandparents…

Increased attention has been given to issues of assessment in recent years. Teachers of mathematics have been working to change both the way they elicit evidence of their students' mathematical thinking and the way they use that evidence to monitor students' progress and guide instructional decision making. This publication is based on work done…