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Fundamental Mathematics through Applications, 3rd Edition

Geoffrey Akst, Borough of Manhattan Community College, City University of New York

Sadie Bragg, Borough of Manhattan Community College, City University of New York

Format	Paper
ISBN-13:	9780321228307
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Description

Throughout this text, motivating real-world applications, examples, and exercises demonstrate how integral mathematical understanding is to student mastery in other disciplines, a variety of occupations, and everyday situations. A distinctive side-by-side format, pairing each example with a corresponding practice exercise, encourages students to get actively involved in the mathematical content from the start. Unique Mindstretchers target different levels and types of student understanding in one comprehensive problem set per section. Mindstretchers incorporate related investigation, critical thinking, reasoning, and pattern recognition exercises along with corresponding group work and historical connections. To show how mathematics has evolved over the centuries, in many cultures, and throughout the world, each chapter features a compelling Cultural Note that investigates and illustrates the origins of mathematical concepts. Diverse topics include art, music, the evolution of digit notation, and the ancient practice of using a scale to find an unknown weight.

Features

Applications One of the main reasons to study mathematics is to realize its application to a wide range of disciplines, to a variety of occupations, and to everyday situations. Throughout the text, students are exposed to applications they can identify with to help answer the often-asked question, “When will I ever use this?”
An interactive environment, created by a motivating writing style, engages students through the use of questioning techniques.
Side-by-side example/practice format A distinctive side-by-side format pairs each numbered example with a corresponding practice exercise, encouraging students to get actively involved in the mathematical content from the start. Examples are immediately followed by solutions so that students can have a ready guide to follow as they work.
Mindstretchers are activities that incorporate related investigation, critical thinking, reasoning, and pattern recognition exercises along with corresponding groupwork and historical connections in one comprehensive problem set per section. Mindstretchers target different levels and types of student understanding.
Estimation Students need to develop estimation skills to distinguish between reasonable and unreasonable solutions, as well as to check their solutions. The chapters on whole numbers (Chapter 1), fractions (Chapter 2), decimals (Chapter 3), and percents (Chapter 6) help to develop this important skill.
Use of Geometry Students need to develop their abilities to visualize and compare objects. In addition to a complete chapter dedicated to geometry topics, students will also find opportunities throughout the text to use geometric concepts and drawings to solve problems.
Algebra An early yet gentle introduction to algebra (Chapter 4) allows instructors to show students the connection between arithmetic and algebra and helps students grasp key algebraic concepts early in the course.
Writing Writing both enhances and demonstrates students' understanding of concepts and skills. In addition to the user-friendly worktext format, open-ended questions throughout the text give students the opportunity to explain their answers in full sentences. Students can build on these questions by keeping individual journals. Suggestions for optional journal entries are included only in the Annotated Instructor's Edition.
Cultural Notes To show how mathematics has evolved over the centuries, in many cultures, and throughout the world, each chapter features a compelling cultural note that investigates and illustrates the origins of mathematical concepts. Diverse topics include the evolution of digit notation, the popularization of decimals, and the ancient practice of using a scale to find an unknown weight.
Pretest/Posttest To promote individualized learning, pretests and posttests help students gauge their level of understanding of chapter topics both at the beginning and at the end of each chapter. The pretests and posttests also allow students to target topics for which they may need to do extra work to achieve mastery.
Use of Technology Optional calculator inserts provide explanations for calculator techniques and feature paired side-by-side examples and practice exercises. In addition, the section exercise sets contain a variety of optional calculator exercises that call for scientific calculators to perform arithmetic operations.

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Fundamental Mathematics through Applications, 3rd Edition

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Previous editions

Fundamental Mathematics Through Applications, 2nd Edition