This guidance report focuses on the teaching of mathematics to pupils in Key Stages 2 and 3. It is not intended to provide a comprehensive guide to mathematics teaching. We have made recommendations where there are research findings that schools can use to make a significant difference to pupils' learning, and have focused on the questions that…

Within a group of advanced learners, the variety of abilities, talents, interests, and learning styles can be formidable. For the first time, this book connects the unique learning differences among gifted students to the specific teaching methods used to tailor their educational experiences. Differentiated instruction for gifted and talented…

This paper presents tips, activities, resources, and games that parents can use to help their children become more proficient in math. Some helpful tips offered are: (1) Be positive; (2) Play family games; (3) Avoid stereotypes; (4) Choose gifts that develop problem solving skills; (5) Expand your children's horizons; (6) Buy or borrow library…

A personal experience is described concerning problem solving that incorporates the computer to help generate multiple examples of proposed conjectures as solutions. The positive potential of technology to allow students of mathematics to experience the process of discovering mathematics through conjecture and generalization is emphasized. (MDH)

Using license plates and telephone numbers for teaching probability ideas involving counting rules is suggested. How each is useful is illustrated in some detail. (MNS)

The papers presented in these proceedings are organized into seven categories: (1) number and number operations (13 papers); (2) spatial representation and geometrical understanding (10 papers); (3) developing and/or using models of mathematical learning (15 papers); (4) mathematical concept formation (17 papers); (5) the mathematical learning…

This book provides an introduction to HyperCard, with the main focus being on communication and problem solving. The book covers most of the main features of HyperCard and includes a very brief introduction to HyperTalk. This book is specifically for people who want to move toward higher levels of HyperCard knowledge and skills. It is designed for…

An example is noted in which a given problem is reformulated and extended. The problem solving includes discussion and dispute, plus the recognition that different approaches are both possible and desirable, is thus demonstrated. (MNS)

A traveling salesman problem is used to illustrate the key idea in a general proof of a reduction technique. It is reduced to a problem in propositional calculus. (MNS)

Process writing methods, which are well established in Canadian elementary and secondary schools, are introduced in this book for use with adult English as a Second Language (ESL) and adult basic education (ABE) classes. The book is the result of two research projects that investigated the feasibility of using a process approach to teaching…

Using a proportions approach to solving the three types of percent problems is discussed, with a drawing of a comparison scale. (MNS)

A letter from a parent about a homework assignment involving much repetition (and time) is used as the vehicle to discuss the problem. (MNS)

The article presents and discusses an optimization problem concerned with observing objects from a moving car. (MK)

A discussion of what constitutes proof is given. Methods of teaching proof in a more intuitive and informal way than is usually done are suggested. (MK)

Computers can create an atmosphere of success for children with attention deficit disorders (ADD). Appropriate software can help to encourage creative and imaginative ideas with judgment temporarily suspended. Software which may be useful in this attempt is reviewed, and three suggestions are made for parents and teachers: (1) assemble existing…