Utilizing word problems relevant to the field of environmental health, this workbook presents a concept-oriented approach to competency development in 14 areas of basic mathematics: (1) the expression of numbers as figures and words; (2) the addition, subtraction, multiplication, and division of whole numbers, fractions, and decimals; (3)…

This volume is a teacher's edition in a series of books that contain open-ended exploration activities and experiments. These activities allow and encourage students to set their own goals, use their own creativity and ideas, investigate the wonders of nature, learn about the workings of real businesses, and draw conclusions from their…

This book contains activities using a technique that allows students to practice routine arithmetical operations without getting bored. Math Loops is a game in which each student receives a card containing answers to a mathematics question or problem and must listen for another student to call out the question. As the game progresses around the…

Six- to eight-year-old children (N=42) who were identified by their teachers as within the average range of ability in mathematics were individually tested on three different mathematics tasks. On the flashcard task and the nonverbal task where children replicated the number of buttons placed under a box, the same 14 addition problems with sums up…

There are numerous teaching suggestions to offer in guiding pupils to greater achievement in mathematics. This paper suggests that the instructor should begin where the pupil is presently and observe what interests the pupil in learning. Different methods for teaching mathematics such as using blocks, beads, films, filmstrips or slides, a…

This study tested 148 preschoolers between the ages of 48 and 72 months on a Piagetian number conservation task. Children's judgment accuracy, estimation, and response latency were measured. Children were also questioned about the number conservation principle. A four-step developmental sequence was hypothesized: (1) nonconservation; (2) correct…

Problems of number inconsistency are discussed which arise in Italian when singular distributive quantifiers float rightward off of subjects, leaving these subjects plural. (Author/RM)

The described game provides children with practice in multiplying by three and in comparing the values of sets of coins. (SD)

The converse of a familiar construction problem is explored, and a partial solution presented. The general problem is "Given a segment with length whose square is x, construct a segment with length 1." (SD)

The authors recommend introducing complex numbers by first studying the integers modulo seven. (SD)

The author states two "Birdcage Axioms" (often called the Pigeonhole principles) and shows how students can prove a variety of theorems from them. (SD)

This article describes a series of activities and worksheets to provide students with experience in graphing number pairs. Students at different lev els can use the activities to relate basic arithmetical operations to graphs. (Worksheets are included.) (SD)

The author reviews the history of the Fibonacci sequence and its relation to Pascal's triangle. (SD)

To introduce a third-grade class to division, a teacher prepared cards showing rectangular arrays from which some dots were missing; students used the remaining information to remake the cards. Related cards were used later in other activities to develop the repeated subtraction algorithm for division. (SD)