Many fraction activities rely on the use of area models for developing partitioning skills. These models, however, are limited in their ability to assist students to visualise a fraction of an object when the whole changes. This article describes a fraction modelling activity that requires the transfer of water from one container to another. The…

This fourth book in the Mathematics Recovery series equips teachers with detailed pedagogical knowledge and resources for teaching number to 7 to 11-year olds. Drawing on extensive programs of research, curriculum development, and teacher development, the book offers a coherent, up-to-date approach emphasizing computational fluency and the…

Argues that the common rounding rule is wrong in itself and potentially dangerous to data. The rule may be phrased as follows: "When several quantities are multiplied, the number of significant figures in the final answer is the same as the number of significant figures in the least precise of the quantities being multiplied. The same rule…

The mathematics associated with division is discussed, working from a theorem for the real division algorithm. Real-world, geometric, and algebraic approaches are discussed, as are related topics. (MNS)

Computation errors that may occur by expanded use of calculators are discussed. Potential errors with five exact arithmetic examples are described as they are translated into approximate processes. (MNS)

This unit of study for grades K-2 focuses on counting coins and coin equivalencies up to 50 cents, making use of a literature connection. The unit provides key words; recommends subject areas and approximate length of time; poses an essential question or problem; provides a unit introduction; notes four individual lessons ((1) For Sale!; (2)…

Comments on the history of negative numbers, some methods that can be used to introduce the multiplication of negative numbers to students, and an explanation of why the product of two negative numbers is a positive number are included. (MNS)

This unit of study walks early elementary students through the basics of counting and using the smallest U.S. coin denominations (penny, nickel, and dime). The unit provides keywords; recommends subject areas and approximate length of time; poses an essential question or problem; provides a unit introduction; outlines five individual lessons ((1)…

A method is presented for determining cube roots on a calculator with square root facility that has a rapid rate of convergence. (MP)

Describes how to teach the solving of multistep problems without recording the intermediate results. Stresses using calculators having memories and necessary functions. Provides activity worksheets. (YP)

Provides a discussion and an example of a problem which occurs in mathematical contests or entrance examinations and deals with the question of the magnitude of exponentials. Includes additional illustrative examples. (RT)

Reports students were more successful in estimation for a problem in context than for the pure computation. Describes students' strategies to make estimates in context. Discusses how to teach estimation. (YP)

Defines one approach to problem solving in terms of student use of algorithms to find their solutions and gives examples. Discusses how problems and algorithms relate to each other. Describes strategies for teaching problem solving using algorithms. (CW)

The article describes the Mental Mathematics System, a number of formulas designed to develop mathematical skills in elementary and junior high school gifted and talented students. Formulas are provided for multiplication. The formulas for mental mathematics are noted to promote student interest in the subject. (SBH)

The manual lists program objectives for the math curriculum at Kendall Demonstration Elementary School for hearing impaired students, objectives are grouped by age (preschool: grades 1, 2, 3, 4, 5, and 6). Objectives are organized into eight strands: relations (likenesses and differences among sets and numbers and on the order of sets and…