This research was designed to investigate the conceptualisations and thinking strategies Indigenous Australian students use in counting tasks. Eighteen Aboriginal students, in years 1 to 11 at a remote community school, were interviewed using standard counting tasks and a "counting" task that involved fetching "maku" (witchetty…

Discusses some surprising properties of the natural numbers set such as axioms for natural numbers and mathematical induction. (ASK)

Presents a probability activity addressing students' misconceptions regarding the Law of Large Numbers. Provides students with better conceptual understanding of the Law of Large Numbers. (ASK)

This book guides teachers in the appropriate use of calculators in math classrooms in grades 3-8. This resource is organized into two parts. Part One addresses the broad range of classroom teachers' questions and concerns about using calculators for teaching mathematics. Issues covered include: (1) How can calculators support helping children…

The World's Largest Math Event (WLME) 4 is the National Council of Teachers of Mathematics' (NCTM) celebration of mathematics and mathematics education and is the highlight of Mathematics Education Month. This year's event is slated for April 30, 1998 with the theme "Landmarks: Seeing the World by Numbers". This theme encourages students…

Presents a problem introducing pupils to the ideas of consecutive and integer while practicing addition. Investigates the overall pattern of results with regard to formulating some general results, considers the algebra of the problem, and suggests proofs of why some numbers can and others cannot be formulated in this way. (ASK)

Presents an historical lesson on the development of numbers and the special characteristics of zero. Includes activity sheets designed to help students focus their attention on the value of numerals including zero, place value, and operation with zero. (KHR)

Outlines the embedded mathematics in which important but hidden calculations are being done for communications in commerce. Explains two key concepts, error detecting codes and error correcting codes. Illustrates these ideas using two familiar examples, barcodes and ISBN numbers. (ASK)

Presents a mathematical analysis of the game "twenty-four points" that aims to apply arithmetic operations on the four numbers to reach a specific number. This game can improve children's ability to do mental arithmetic. (ASK)

Many students have difficulty finding remainders instead of quotients in the division of two numbers. Students are too quick to use technology and cannot interpret the output correctly. Moreover, many students are not accustomed to doing different yet applicable mathematics. As with all branches of mathematics, modular arithmetic and congruences…

The World's Largest Math Event 6 (WLME 6) is the National Council of Teachers of Mathematics' (NCTM) celebration of mathematics and mathematics education and is the highlight of Mathematics Education Month. This year's event, slated for April 28, 2000, features the theme "Animals as Our Companions". This theme encourages students to…

Presents an activity in which students try to find the least common multiple (LCM) for two numbers using calculators. (ASK)

Any topic, math included, becomes more accessible and understandable when human stories are related about the development of the subject. Stories make subjects real and purposeful. They provide a foundation from which students can understand and appreciate mathematics rather than merely memorize a series of rote exercises. This book presents 16…

This book contains a set of versatile enrichment exercises that cover a very broad range of mathematical topics and applications in pre-algebra from the Moebius strip to the googol. Several criteria have been used in developing the activities and selecting the topics that are included. All of them bear heavily and equally on concerns for…

Discusses the benefits of integrating the history of mathematics into mathematics classes. Provides some worksheets for undertaking this task. (ASK)