Provides information about mathematician Jamshid al-Kashi and his work on calculating mathematical values such Pi or Sin(1). (ASK)

Presents two different research tests for teachers to conduct in their classrooms to gain insight into their students' number sense. Provides test results from Taiwan for comparison. (ASK)

Presents a mathematical puzzle that asks about "missing" area and leads to an exploration of the Fibonacci sequence as well as genuine inquiry in plane geometry connected to algebra. Discusses the inquiry, the concepts, the solution, and an extension that deepens all students' understanding of the connections between algebra and…

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)

Students' belief that a larger number has more factors is outlined as a particular example of 'the more of A, the more of B' intuitive rule. Discusses the robustness of this belief by demonstrating students' tendency to perceive conflicting evidence as an exception to the rule. Considers some pedagogical approaches. (Contains 12 references.)…

Reviews some fundamental mathematical ideas on sets and counting. Provides problems based on those ideas and their answers. (ASK)

Presents two activities on addition, one for classifying and one for symmetry. (ASK)

Presents a game in which students are told to say 'Fizz' on multiples of two and 'Buzz' on multiples of three while the teacher proceeds to count upward by one. (ASK)

Investigated the development of number concepts and addition skills in Japanese children. Found that children's use of addition strategies, rather than their solution accuracy, changed primarily as a function of schooling, not age. Children's Base 10 number concepts improved with the amount of schooling, as well as with other social and…

Examines issues relevant to the development, implementation, and evaluation of educational software in mathematics in the particular context of a Mathwise module covering the topic of complex numbers. Presents results of an evaluation exercise and some conclusions on issues of design and implementation. Contains 13 references. (ASK)

Presents an integrated lesson on planning a garden and planting seeds with a focus on number concepts and Fibonacci numbers. (ASK)

To understand the development of number-word construction, students in grades 1, 3, 5, and 7 named and counted from a set of numbers into the billions in two studies. Findings are discussed both in relation to children's growing knowledge of the number system and to vocabulary development. (Author)

Reports on an instructional method designed to address the cognitive gaps in children's mathematical development where operational conceptions give rise to structural conceptions. Describes two experiments in teaching integers and conceptualizes modeling as the transformation of outside-school knowledge into school mathematics. (Contains 28…

Describes how games can be used to help children practice their arithmetic by using a game-playing format. (ASK)

Discusses essential parts for better numeracy instruction, including confidence, attitude, content, and context. Suggests implications for numeracy teaching and learning. (ASK)