Reports a study to examine secondary school students' (n=200) responses to two figurally and spatially similar problems from mathematics and science that require different responses before and after instruction. Results indicated that most students gave the same response to both questions. Reasons for this pattern are discussed. (MDH)

Discusses how children's literature can be used as a context to develop problem-solving tasks. Illustrates this idea by developing tasks to teach concepts related to multiplication through the context of "The Patchwork Quilt," a children's book by Valerie Flournoy. Suggests activity extensions to determine unit sizes, draw scale models,…

Presents five activities focusing on mental computation and estimation for the K-3, 3-5, 4-6, and 6-8 grade levels that require the student, acting as a judge, to review solutions to problems and to pronounce and justify a verdict. Provides suggested materials, questions, possible extensions, answers, and worksheets for each activity. (MDH)

Presents a series of five activities that introduce division of fractions through real-world situations. Discusses problems related to resurfacing a highway, painting dividing stripes on a highway, covering one area A with another area B, looking for patterns, and maximizing the result of a division problem. Includes reproducible worksheets. (MDH)

Responds to Apple's article by making seven points that discuss (1) the Standards as a vision; (2) changes in mathematics; (3) changes in how one learns; (4) democratic citizenship; (5) costs; (6) quality of examples; and (7) working conditions for the teacher. (MDH)

Discussed is the process of translating situations involving changing quantities into mathematical relationships. This process, called dynamical modeling, allows students to learn new mathematics while sharpening their algebraic skills. A description of dynamical systems, problem-solving methods, a graphical analysis, and available classroom…

Proposes three types of supplementary problems to develop students' skill in interpretation of graphically represented data. Eleven examples are presented and solved for the following types of problems: comparison of one quantity to another, comparison of two quantities that each depend on a common parameter, and reasonable data prediction. (MDH)

Presents activities for the K-2, 3-4, 5-6, and 7-8 levels focusing on the role of numbers and language in real-world situation. Students are asked to discuss, describe, read, and write about numbers they find in toy shops, the post office, in sports, and at airports. Provides appropriate worksheets. (MDH)

Proposes an alternative means of approximating the value of complex integrals, the Monte Carlo procedure. Incorporating a discrete approach and probability, an approximation is obtained from the ratio of computer-generated points falling under the curve to the number of points generated in a predetermined rectangle. (MDH)

Fifteen learning-disabled (LD), 33 attention disordered (AD), and 28 normal adolescents were assessed with 2 performance measures and 3 behavioral measures while working on mathematics problems. Findings support theoretical predictions that LD and AD children have difficulty with repetitive stimuli, contributing to mathematics deficits. (SLD)

Describes a program in second-grade Dutch mathematics classes that emphasizes mental addition and subtraction of two-digit numbers up to 100. Deals with a strategy of counting by 10s from any number. (Contains 56 references.) (RLB)

This guide, part of a series of workplace-developed materials for retraining factory workers, provides teaching materials for a workplace mathematics course. The course is a review of basic number concepts focused on helping participants to understand the meaning of numbers and arithmetic operations. The introductory materials include a course…

In this unit, part of the Seeing and Thinking Mathematically in the Middle Grades series, students use mathematics to design and construct a model home from the ground up. Through the process of designing floor plans, constructing walls and roofs, and making cost estimates, students explore key concepts in geometry and measurement and engage in…

This packet contains 14 lesson plans for integrated academic and vocational education courses. Lesson plans for the following courses are included: integrated physics and principles of technology; algebra and principles of technology; principles of technology, language arts, and economics; physics and industrial electronics; physics and…

This packet contains nine lesson plans for integrated academic and vocational education courses. Lesson plans for the following courses are included: industrial technology, automotive technology, English, mathematical applications, science, home economics, and mathematics. Some of the topics covered are as follows: mechanical drawing, automobile…