The teacher displayed counting cards that included both dots and numerals in order from one to five, as she counted them with her students. She then turned the cards facedown, keeping them in order, and began an identify-a-hidden-card activity with the class. This class was engaged in the third of three card activities that develop number sense…

This article reports on a study in which researchers asked children to "make up as story and a picture about marbles for this number sentence: 3 x 5 = 15." Students in this study came from pre - dominantly low- to average-income families living in three distinct geographical areas within the United States. A similar division task was…

Skilled instructors observe consistent errors that young children may make in particular situations and seek ways to help children reform their thinking through conceptual understanding. Such teacher observations as those presented at the beginning of this article, combined with similar observations by teachers in other preschool and kindergarten…

In 2000, the "National Council of Teachers of Mathematics" recommended that Algebra Standards, "instructional programs from prekindergarten through grade 12 should enable all students to use mathematical models to represent and understand quantitative relationships." In this article, the authors suggest the "Balance"…

A whimsical mathematics event for children and adults, derived from Lewis Carroll's Alice's Adventures in Wonderland, was held at the Providence Children's Museum in Rhode Island. NCTM's Standards were the basis of all the activities. (Contains 10 figures and 1 table.)

Discusses the role of conjectures in learning mathematics, how conjectures demonstrate mathematical power, and how conjectures build understanding and encourage connections. (ASK)

Presents solutions for a problem concerning doubling a recipe from a previous article on number concepts in the October 1997 issue. (ASK)

Presents activities that focus on number sense. (KHR)

Explains how number work in elementary school can be extended to prepare students for algebra. Suggests some practical strategies that focus on five aspects of number knowledge essential for algebra learning. (ASK)

Presents the steps and lessons for making the "Measure Me" doll in which students experience numeracy when they use their own birth statistics to create a doll. Through this sequence of activities, learners relate what they already know about themselves to new situations where they compare their heights and weights with those of other children.…

Focuses on subitizing, the ability to recognize small numbers of objects. Discusses when and how it develops and whether it should be taught. Contains 31 references. (ASK)

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)

Presents five mathematics activities to celebrate the 100th Day of School. Lists the full set of activities that relate to mathematics, art, music, physical education, science, social studies and history, English, and creative writing. (ASK)

Explores the meanings of millennium, century, and decade, and introduces the notion of millennial age as one's precise age on 1 January 2000. Asks students to estimate their millennial age and explores various other computation and estimation activities using the idea. (ASK)

This article describes an exploration activity involving Mayan numerals, which can be adapted by teachers at various levels to help students better understand the concept of place value and appreciate contributions to mathematics made by an indigenous Central American culture.