Forty first-grade teachers' pedagogical content knowledge of children's solutions of addition and subtraction word problems was investigated. Most teachers could identify many of the critical distinctions between problems, and the primary strategies used to solve them, but did not have a coherent organizational scheme. (MNS)

Uses a graphing calculator to predict the record for running a mile, throwing a shot put, and high jumping for any year in the future and the probable record for any year before statistics were kept, based on the statistical analysis of prior records. Data tables and a computer program are provided. (MDH)

Presents a curriculum unit designed for average sixth-grade students intended to engage them in problem-solving experiences and to teach them problem-solving strategies. The curriculum consists of 20 sessions in which students engage in various activities using the following software packages: The Adventures of Jasper Woodbury, Rescue at Boone's…

Presents examples of word problems that can be used to illustrate the distributive property for preservice teachers. Includes examples involving extended sums, volume, area, prealgebra, place value, long multiplication, fractions, decimals, and algebra. (MDH)

Presents four sets of activities to develop the concepts of data analysis and graphing. Students estimate sample populations using beans, examine graphs from newspapers and magazines, predict the most popular color of cars, and simulate quality control in a manufacturing process. (MDH)

Investigates issues of conceptual understanding in teaching and learning mathematics provided conceptually based instruction on place value and two-digit addition and subtraction without regrouping in four first grade classrooms. Conventional textbook-based instruction was provided in two first grade classrooms. Experimental-group students scored…

Exponential growth is examined through an example describing the number pattern formed by postage stamp issuance. Number tables and graphs are used to discover the functional relationship between the number of new stamps issued and time. (MDH)

Presents five activities for the family and K-2, 4-3, 5-6, and 7-8 levels that focus on the connection between mathematics and music. Activities examine the mathematical concepts of counting, estimation, measurement, statistics, fractions, and patterns involved in the topics of rhythm, beats in a measure, music preference, the music scale, and…

Illustrates and discusses one class of strategies to solve word problems referred to as "number-consideration strategies." Contrasts actions and goals of students who focus mainly on number considerations with those of students who focus mainly on problem understanding. (MDH)

Describes pedagogical content knowledge model. Uses interviews and observation to examine development of pedagogical content knowledge of two student teachers in a one-year elementary teacher education program. Concludes student-teacher success requires supervisors' understanding and support. (TES)

Utilizes LOGO to teach the concept of inequalities by programing the turtle to take random walks in the coordinate plane restricted to predetermined regions defined by inequalities. The students task is to discover the inequalities that define the illegal areas into which the turtle must not move. Provides examples and corresponding computer…

Describes two investigations suitable for grades seven and eight that explore the properties of the figure created when the midpoints of an equilateral triangle or square are joined. (MDH)

Presents 5 school and home activities for the K-2, 3-4, 5-6, and 7-8 levels appropriate for beginning the school year that incorporate problem solving, collecting and analyzing data, and exploring patterns. Topics include a shopping spree, seat assignment, map-interpretation skills, and probability. Includes reproducible worksheets. (MDH)

Describes a problem to challenge students as they come back from summer vacation. Working in small groups, students discover Pick's Theorem, the formula to calculate the area of a polygon constructed on a geoboard. A writing assignment evaluates the students' efforts. (MDH)

Investigated why, contrary to expectations, group performance in a written test of problem solving was not better than individual performance. Examined protocols of students solving problems in groups and concluded that in much of the group discussion, students passed over right ideas in favor of simpler, but erroneous, ideas. (14 references) (MDH)