We describe the design and implementation of lessons in undergraduate abstract algebra that integrate applications to teaching high school mathematics. Each lesson consists of a pre-activity, class activity, homework set, assessment questions and detailed instructor notes. The included applications intend to bridge advanced mathematics concepts to…

The exponential increase in the number of cases and number of affected countries of the novel coronavirus disease 2019 (COVID-19) brought significant change in the mode of instruction from face-to-face to distance learning among the different levels of education around the world. This descriptive-developmental method of study adopted the ADDIE…

THIS INSTRUCTIONAL GUIDE WAS WRITTEN TO PROVIDE ASSISTANCE TO TEACHERS IN DEVELOPING THE BASIC CONCEPTS AND SKILLS OF ELEMENTARY ALGEBRA. THE CONTENT FOR EACH UNIT INCLUDES GOALS, A SEQUENTIAL DEVELOPMENT OF THE UNIT, AND SPECIFIC TEACHING SUGGESTIONS. THE TABLE OF CONTENTS FOR THE COURSE IS A DUPLICATION OF THE TABLE IN DOLCIANI, BERMAN, AND…

This teaching guide outlines a semester course for those students who need review work in concepts from algebra and geometry. Successful completion of this material would serve as a prerequisite to the study of trigonometry. Sequence, textbook references, and time allotments are suggested. Units studied are: the real numbers; operations on the…

This teaching guide outlines a college algebra course for use in the secondary school. Units studied are: mathematical induction, functions, groups and fields, linear algebra, and limits. Special emphasis is given to the study of functions and linear algebra. Sequence, textbook references and assignments, and time allotments are suggested. Some…

This handbook for general mathematics presents some classroom materials to aid the teacher of non college-bound pupils. The materials are intended to be of assistance to teachers in teaching the materials in a manner which will maximize the mathematical flexibility as well as the mathematical skills of the pupils. The goal was to prepare a booklet…

This guide contains an outline of topics to be included in individual subject areas in secondary school mathematics and some specific suggestions for teaching them. Areas covered include--(1) fundamentals of mathematics included in seventh and eighth grades and general mathematics in the high school, (2) algebra concepts for courses one and two,…

This final report and appended conference proceedings describe activities of the Earth Math project, a 3-year effort at Kennesaw State University (Georgia) to broaden and disseminate the concept of Earth Algebra to precalculus and mathematics education courses. Major outcomes of the project were the draft of a precalculus textbook now being…

The aim of this project was to develop a curriculum for first-year algebra students to provide a wide range of applications of mathematics. This type of application would permit students to understand how algebraic symbolism develops out of natural needs. A pilot draft of the materials was field-tested during the 1974-75 school year, revised, and…

This publication contains materials for three courses in Applied Math in the Applied Academics program at South Seattle Community College. It begins with the article, "Community College Applied Academics: The State of the Art?" (George B. Neff), which describes the characteristics, model, courses, and coordination activity that make up…

A nine-day study was designed to investigate the learning achievement differences between paired and individual high school students in a Computer Assisted Instruction course in Boolean Algebra. Within the format of five 40-minute lessons (including preview frames, instruction, examples, practice problems, criterion frames, and daily quizzes), 23…

This guide is designed to help classroom teachers implement the Alabama Course of Study: Mathematics K-12. It is inclusive also of the objectives tested by the Stanford Achievement Tests and the Alabama Basic Competency Tests. One characteristic of the curriculum guide is that it clearly states what students should learn in each grade level. These…