Today's classrooms pose many challenges for new mathematics teachers joining the teaching force. As they enter the teaching field, they bring a wide range of mathematical experiences that are often focused on calculations and memorization of concepts rather than problem solving and representation of ideas. Such experiences generally minimize what…

This article describes how a series of lessons might be used to allow students to discover the size of the Earth, the distance to the Moon, the size of the Moon, and the altitude of Mount Piton on the Moon. Measurement with a sextant, principles of geometry and trigonometry, and historically important scientists and mathematicians are discussed.

Presents proofs of some trigonometric identities from a geometric point of view. (MKR)

Describes an analysis of the direction taken by a baseball immediately after coming into contact with the bat. Uses geometry, trigonometry, and physics. (MKR)

Presents a solution to the problem of finding the probability that a needle would cross a crack in a tile floor when dropped. (MKR)

Discussed are two approaches to determining which regular polygons, either inscribed within or circumscribed about the unit circle, exhibit rational area or rational perimeter. One approach involves applications of abstract theory from a typical modern algebra course, whereas the other approach employs material from a traditional…

Students can learn to make algebra, trigonometry, and geometry work for them by using matrices to rotate figures on the graphics screen of a graphing calculator. Includes a software program, TRNSFORM, for the TI-81 graphing calculator which can draw and rotate a triangle. (MKR)

This course syllabus is for five 18-week courses in the Metal Fabrication Program at Northeast Wisconsin Technical College (NWTC): (1) metal fabrication I; (2) blueprint reading and sketching; (3) applied layout tech I; (4) metal fabrication II; and (5) applied layout tech II. Each syllabus contains some or all of the following: (1) course…

Presents a variety of mathematics activities for students to solve. Sections are included on geometrical dissection, prime numbers, trigonometry, and number concepts. (RH)

Presented are activities and references involving tangrams. Seven pieces are cut from a single square of paper; other shapes and objects are made from these pieces. (RH)

Includes two activities: (1) a skit to review variations of the trigonometric functions, and (2) a geometry problem about maximizing costs that exposes students to a variety of different solution strategies and makes the material more meaningful. (MKR)

Geometric interpretations and derivations of the six trigonometric relationships are demonstrated. Selected for discussion are limiting values, geometric verification of trigonometric identities, a one-dimensional illustration of the Pythagorean relationships, and the geometric derivation of infinite-series relationships. (DE)

This document lists mathematics objectives for Boston high school students. All objectives are presented in two columns. The left-hand column states each objective in general terms and gives an idea of its scope. The right-hand column gives a specific example of what students should be able to do when the objective is achieved. Objectives are…

This is a teacher's guide to secondary school mathematics. Developed for use in the Duval County Public Schools, Jacksonville, Florida. Areas of mathematics covered are algebra, analysis, calculus, computer literacy, computer science, geometry, analytic geometry, general mathematics, consumer mathematics, pre-algebra, probability and statistics,…

This textbook is third in a series of three volumes presenting a mathematics course for junior high school and six-year high schools. This volume covers college-preparatory algebra, trigonometry, and demonstrative geometry. [For Book I, see ED623224. For Book II, see ED623225.]