Shares some explorations of Fibonacci sequences with a special focus on problem-solving and posing processes. (ASK)

Describes a game in which students strengthen their number sense by using mental mathematics to find and check factors and multiples of numbers up to 100. (ASK)

Describes a study in which 383 children in grades 1 through 5 were individually interviewed to find out at what point they construct unit iteration out of transitive reasoning. Indicates that most children construct unit iteration out of transitive reasoning by fourth grade. Suggests a better approach to the teaching of measurement that presents…

Describes a cooperative effort using telecommunications. Utilizes a potential e-mail dialog between the authors and a secondary mathematics teacher from a rural Kansas community who had heard about the interclass Hexiety project, which allows students to develop a context for their mathematical knowledge, to present ideas about the project. (ASK)

Describes the activity of numbering trees in which students number trees or find the numbered trees and observe other features according to class time. This activity aims to increase student tracking, mapping, and writing skills and integrate them with math skills. Suggests follow up activities that focus on reading, writing, and language skills.…

Investigates whether new teaching resources and minimal support could help teachers make a difference to children's understanding of decimal numeration. Indicates that teachers who used the resources achieved an educationally and statistically significant improvement in decimal understanding. (Contains 19 references.) (Author/ASK)

Analyzes a didactical sequence for the teaching of addition and subtraction procedures and algorithms. Uses didactical procedures by children in problem solving activities in order to gain a better understanding of the interaction between numbers, numeration, and operations knowledge which are involved in the construction of addition and…

Attaining computational fluency is an essential part of students' elementary mathematics education. Offers ways of connecting and balancing understanding and procedures and teaching and assessing computational fluency. (Contains 12 references.) (ASK)

Presents a study that examined the differences between mathematically disabled children and mathematically normal children in a cross-sectional perspective. Concludes that mathematically disabled children need mathematics instruction to move from a focus on computation to strategy-learning activities. Contains 44 references. (Author/ASK)

Presents an activity on number concepts using a calculator. Suggests that by using a calculator, students can search for patterns and identify them more quickly. This activity helps students make mathematical connections about divisibility rules, carry out investigations, make sense of what happened, and continue their investigation by creating…

Presents ways to introduce number systems from finger counting to number words, to concrete materials, to the numerals invented by various societies to enhance students' number sense by learning about the systems of other cultures. (Contains 13 references.) (ASK)

Examined the nature of numerical knowledge in 5-month-olds to inform the debate whether numerical abilities result from capacities dedicated to numerical cognition or to more general perceptual capacities. Found that 5-month-olds could determine the number of collective entities, moving groups of items, when non-numerical perceptual factors such…

Aims to help children understand difficult concepts according to their own particular learning styles and to keep students learning while maintaining their interest in and excitement about mathematics. Presents everyday mathematics games for students at every ability level to practice important mathematical skills. (ASK)

Explores the study of ordered pairs to allow students to demonstrate their own creativity, apply previously learned computer skills, evaluate their own work, and draw connections to other mathematical strands. Using a spreadsheet, students construct a drawing composed of connected ordered pairs, the inverse, and the negative of the drawing. (ASK)

Presents a joint work of mathematics and science educators that suggests that many responses that literature describes as alternative conceptions are interpreted as if they evolved from a small number of intuitive rules. Demonstrates the explanatory and predictive power of these intuitive rules. (Contains 36 references.) (Author/ASK)