Based on the original source document for the Common Core State Standards and tested by 1,000 educators in diverse classrooms across the country, these research-based tools will help readers examine their current practices and adapt existing curriculum. Each of the 40 tools is clearly presented, explained, and exemplified, guiding educators…

Demonstrates the value of spreadsheets for teaching sociology using Lotus 1 2 3 as an example. Shows how a Cholesky factorization, an eigenstructure solution, a correlation analysis, and a discriminant analysis may be performed using a spreadsheet or a BASIC program (included). (BSR)

Presents a mathematics problem on probability and matrices placed in a context with insects. Provides an overview, prerequisites, materials needed, and worksheets. (ASK)

Describes how elementary linear algebra can be taught successfully while introducing students to the concept and practice of mathematical proof. Suggests exploring the concept of solvability of linear systems first via the row echelon form (REF). (Author/KHR)

Discussion of the use of computers in math instruction highlights two possibilities suggested in response to an earlier journal column: (1) a program written in BASIC for producing spirolaterals, and (2) the use of LOGO list processing to solve matrix problems for exploring geometric transformations. (LRW)

Described are ways that errors of magnitude can be unwittingly caused when using various supercalculator algorithms to solve linear systems of equations that are represented by nearly singular matrices. Precautionary measures for the unwary student are included. (JJK)

Described is the hand-calculation method for the orthogonalization of a given set of vectors through the integration of Gaussian elimination with existing algorithms. Although not numerically preferable, this method adds increased precision as well as organization to the solution process. (JJK)

Discusses a real-world problem-solving lesson that emerged when a high school math teacher used a motion detector with a CBL and graphing calculator to obtain the bounce data of a ping-pong ball. Describes the lesson in which students collect bad data then fill in the missing parabolas that result using critical components of parabolas and…

Presents an activity that illustrates how data stored in a matrix or list can be plotted as a graph in the parameter plotting mode on graphic calculators. (ASK)

Presents a lesson to teach matrices that emphasizes conceptual understanding and allows students to extend their investigations into important and relevant situations by using graphing calculators after important conceptual understanding has been developed. (KHR)

Describes a method to combine two learning experiences--optical physics and matrix mathematics--in a straightforward laboratory experiment that allows engineering/physics students to integrate a variety of learning insights and technical skills, including using lasers, studying refraction through thin lenses, applying concepts of matrix…

Described is a computer program that uses an interesting matrix method to generate Pythagorean triples. Program listings and output for two programs are included. (MNS)

A sample of novel verbal problems which can be solved by using systems of linear equations with free variables is presented. The procedure of Gaussian elimination is used to solve the system. (KR)

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)