Measurement experiences can promote and illustrate number work in an intuitively satisfying way. Some current practices that are counterproductive for developing number sense and some alternative strategies that are more constructive are included in discussions of the approximate nature of measurement, realistic measurement, and work with rational…

Activities for teaching mathematics in kindergarten through grade 8 are included in this guide. Both original ideas and ideas gleaned from various sources, including teachers in the district, are presented. The introduction briefly discusses the importance of developing understanding of concepts, processes, and relationships, the need for…

This instructional manual consists of 11 competency-based units for a mathematics course for trade and industrial programs in Texas. Each instructional unit includes the following basic components: unit and specific objectives, notes to the instructor (outline of steps to follow in accomplishing specific objectives), information sheets,…

Developed by a statewide committee in response to the legislature's mandate to develop statewide curriculum standards for required subjects, this guide presents the content that should be taught in Mathematics II. It was piloted by teachers in representative school systems and subsequently revised. Seven goals for the course are listed, followed…

In response to the legislature's mandate to develop statewide curriculum standards for required subjects, this guide was developed by a statewide committee to present the content that should be taught in Mathematcs I. It was piloted by teachers in representative school systems and subsequently revised. Six goals for the course are listed, followed…

Three topics related to teaching mathematics are discussed: a problem with the order of operations, teaching fractions, and an application of the distributive property. (MP)

A method of using a diagram to investigate properties of fractions is described. (DT)

A proof is given of the irrationality of the square root of 2 which depends on notions of terminating and repeating decimals. (MP)

This discussion of the mathematical potential of classroom events gives many examples of incidents that can be used for learning about topics such as one-to-one correspondence, counting, sets, ordering, time, fractions, money, shape, estimation, measuring, volume, area, number operations, and graphs. (MP)

Many activities are described for teaching two fundamental concepts concerning one-half. These concepts are one-half of a number and one-half of the size. (JT)

Included are brief reports on an algebra quiz in a menu format; two activity sheets on base two; and an alternative method of teaching least common multiple and greatest common factor, and related ideas, with six lessons outlined. (MNS)

Simple patterns both in mathematics and music are discussed. Several activities using standard instruments and handmade devices are described. (MNS)

Scavenger hunt activities for a range of mathematical topics are presented. Numbers, measurements, fractions, and geometry are among the topics included for the 14 types of hunts described. (MNS)

Paper folding and coloring activities are presented which involve the use of rectangular and square regions as models for basic fraction concepts. Rules for a fraction game also are included. (DT)

Magic squares are used to generate number games similar to tic-tac-toe. Skills that are reinforced include addition of negative numbers and addition and multiplication of fractions. (MP)