Agricultural life science topics include but are not limited to (1) agriculture and the environment, (2) culture, society, and economy, and (3) energy. These topics have potential to come up during mathematics and science instruction and offer learning opportunities. One way for agricultural life science topics to be part of such instruction is…

There is an increasing awareness of out-of-school program value in enhancing student interest and understanding of science, technology, engineering, and mathematics (STEM). This study examined the impact of an out-of-school STEM education program on student attitudes toward STEM disciplines and STEM careers. A STEM education program implemented at…

Presents the six major components of the Directed Reading Activity strategy: Developing Vocabulary, Building Background and motivation, Setting the Purpose, Guiding Silent Reading, Questioning to Determine Comprehension, and Rereading, as applied to mathematical problem solving, resulting in a directed mathematics activity. (MDH)

A technique is illustrated for solving relative motion problems using a maneuvering board and vector algebra. The technique can be used to visually illustrate properties of vector algebra in a non-theoretical context. (MP)

Five calculator activities are described that are designed to explore ordered operations. Suggestions are given on mathematical objectives, strategies for solving, and possible extensions or follow-up activities. (MP)

Problems are discussed in which addition facts are presented using words instead of numbers. The letters are then replaced by numbers that will make the addition problems correct. (MP)

Brainstorming is suggested as one approach to problem solving. Generating possibilities stimulates creative and independent thinking and can facilitate problem solving in many situations. (MP)

This article examines the Pythagorean Theorem from a geometric point of view by suggesting some natural extensions of the theorem. The use of a more general theorem to prove a difficult one is suggested, where possible. The article includes figures and proofs. (Author/MA)

The vast majority of people are most familiar with arithmetic in base ten. This article presents a follow-up on a problem with several divisibility tests valid in base ten which are related to Freitag's general test and which follow directly from it. Base 13 is also explored. (Author/MA)

An example is discussed in which a drill exercise, initially involving whole number addition, can be used to develop concepts in equations of many variables. (MP)

Presents examples of how students can create drawings of sets of lines whose envelopes are parabolas, cardioids, epicycloids, or hypocycloids. Provides students with experience in problem solving, reasoning, communication, and connections between numbers and geometry, between mathematics and art, and between mathematics and other applications.…

Tables of life expectancy can provide data for use in a great variety of problems related to probability theory. (SD)

Rational points in the plane were defined as points having both coordinated rational. Students solved several problems linking rational points with lines, circles, and other geometric figures. (SD)

This guide focuses on the role of problem solving in developing mathematical concepts of young children, selected problem situations or tasks for engaging children in problem solving, and criteria designed to provide a guide to teachers and parents of young children in formulating appropriate problem-solving situations. (MP)

Suggestions are given for helping mathematically gifted, creative, and talented students by grouping, organizing for enrichment, and using mathematics to challenge. Specific activities are included. (MNS)