The Math Promise is a contract that family members make with one another. They commit to spending mathematical time together; getting to know each other's mathematical thinking and understanding; and finding time to play math games, solve problems, and notice mathematics in their daily lives. Whether parents and children are cooking in the…

Children are naturally curious and want to make sense of their world. To implement mathematical tasks that nurture children's desire to reason, it is valuable for teachers to have experienced for themselves comparable tasks and learning environments (Ball and Bass 2000). In this article, the author describes three strategies to facilitate…

"Strategy sharing" is a certain type of discussion that centers on students' ideas and occurs when children present different approaches to problems and provide information about how they solved the problem (Wood, Williams, and McNeal 2004). A teacher may orchestrate a strategy-sharing discussion to achieve one or more of the…

There are five important strands in building mathematical proficiency for all students: (1) Conceptual Understanding, (2) Procedural Understanding (3) Strategic Competence, (4) Adaptive Reasoning, and (5) Productive Disposition. (National Research Council, 2001). This article explores effective classroom practices that promote these strands of…

Presents student responses to the "The Darts, Anyone?" problem that appeared in the May, 1999 issue of this journal. The problem concerned finding possible scores on dart rings. (KHR)

This article describes the impact of thinking about addition and subtraction facts instead of rotely memorizing them.

Describes how 4th grade students thought like mathematicians and illustrates their thinking through classroom vignettes. (KHR)

Offers a problem for teachers to try with their students. The problem is presented visually as a row of 15 connected squares and the task is to determine the number of rectangles. The goal is to encourage teachers to reflect on students' work and analyze classroom dialogue. (PVD)

Describes two approaches to connecting literature and problem solving with mathematics. One approach is to focus on a particular strategy of problem solving, then find a storybook related to the strategy. Another approach is to find a favorite children's book and develop the problem-solving portion of the lesson from the book. A resource list and…

Describes a 7-year-old whose mathematical performance in class embodies much of what is important according to "Curriculum and Evaluation Standards for School Mathematics". She speaks little English and therefore scores low on standardized, norm-referenced tests. Concludes that changes in curriculum and classroom instruction require changes in…

Investigates different approaches of students from different cultures to problems and problem-solving strategies. Suggests ways to encourage students to use algebraic strategies. Provides some action research ideas for teachers to try in their classrooms. Contains 11 references. (ASK)

Describes teaching strategies in which children are encouraged to develop computational procedures that are meaningful to them. Authors state that classroom observation reveals most primary students to be capable of developing their own accurate solution procedures for multi-digit addition and subtraction as well as for simple multiplication and…

This article demonstrates how a child's invented algorithm about tens and ones generated "transitional thinking" on the way to the construction of a mathematical understanding of place value. The articles also discusses how two important "best practice" classroom strategies, mathematical discourse, and the role of wait time in that discourse take…

Describes the use of the Internet to investigate mathematical problems, create and share information, discover patterns and relationships, and find out more about the world. This unit investigates pet ownership and introduces children to telecommunications, the use of the computer as a tool, and scientific research methods. Other units address…

Describes a mathematical investigation of gold--how it is weighed, stored, used, and valued. For grades 3-4, children estimate the value of treasure chests filled with gold coins and explore the size and weight of gold bars. Children in grades 5-6 explore how gold is mined and used, and how the value of gold changes over time. (PVD)