プリンキピア

まえがき

Section Exercises節の練習問題

Each section of every chapter concludes with a well-rounded set of exercises that can be assigned as homework or used selectively for guided practice. Exercise sets are named Practice Makes Perfect to encourage completion of homework assignments.
各章のすべての節は、幅広くバランスの取れた練習問題で締めくくる。宿題として課すことも、必要なものを選んで指導しながら練習することもできる。宿題に取り組むことを促すため、問題群には「Practice Makes Perfect（練習を重ねれば上達する）」という名前を付けた。
  • Exercises correlate to the learning objectives. This facilitates assignment of personalized study plans based on individual student needs.
    問題は学習目標に対応している。そのため、各学生の必要に合わせた個別の学習計画を立てやすい。
  • Exercises are carefully sequenced to promote building of skills.
    技能を積み上げられるよう、問題の順序を慎重に決めている。
  • Values for constants and coefficients were chosen to practice and reinforce arithmetic facts.
    定数や係数の値は、基本的な計算の知識を練習して定着させられるように選んだ。
  • Even and odd-numbered exercises are paired.
    偶数番号と奇数番号の問題を対にしている。
  • Exercises parallel and extend the text examples and use the same instructions as the examples to help students easily recognize the connection.
    問題は本文の例題に対応し、それを発展させたものである。つながりを認識しやすいよう、例題と同じ指示文を使っている。
  • Applications are drawn from many everyday experiences, as well as those traditionally found in college math texts.
    応用問題は、大学数学の教科書で伝統的に扱われるものに加えて、日常のさまざまな経験から取り上げている。
  • Everyday Math highlights practical situations using the math concepts from that particular section.
    「日常生活の数学」では、その節の数学の概念を使う実用的な場面を取り上げる。
  • Writing Exercises are included in every Exercise Set to encourage conceptual understanding, critical thinking, and literacy.
    概念の理解、批判的思考、読み書きの力を促すため、すべての問題群に記述問題を含めている。

Chapter Review Features章の復習の構成

The end of each chapter includes a review of the most important takeaways, as well as additional practice problems that students can use to prepare for exams.
各章の末尾には、特に重要な学習事項の復習と、試験の準備に使える追加の練習問題を設けている。
  • Key Terms provides a formal definition for each bold-faced term in the chapter.
    「重要語」では、章内で太字にした各用語を正式に定義する。
  • Key Concepts summarizes the most important ideas introduced in each section, linking back to the relevant Example(s) in case students need to review.
    「重要な概念」では、各節で紹介した特に重要な考え方を要約し、復習が必要なときのために関連する例題へリンクを張っている。
  • Chapter Review Exercises includes practice problems that recall the most important concepts from each section.
    「章の復習問題」では、各節の最も重要な概念を思い出すための練習問題を扱う。
  • Practice Test includes additional problems assessing the most important learning objectives from the chapter.
    「練習テスト」では、その章の最も重要な学習目標の達成度を確かめる追加問題を扱う。
  • Answer Key includes the answers to all Try It exercises and every other exercise from the Section Exercises, Chapter Review Exercises, and Practice Test.
    「解答」には、すべての「やってみよう」と、節の練習問題・章の復習問題・練習テストの1問おきの問題の答えを掲載する。

Answers to Questions in the Book本書の問題の解答

All answers to Try It questions are provided in the Answer Key. Answers to Examples are provided directly below the question. Students can find odd-numbered answers to Chapter Review Exercises, Practice Test, and Section Exercises in the Answer Key. Answers to all odd and even-numbered questions are provided only to instructors in the Instructor Answer Guide via the Instructor Resources page.
「やってみよう」の答えはすべて巻末の解答に掲載されている。例題の解答は問題のすぐ下に示されている。学生は、章の復習問題・練習テスト・節の練習問題の奇数番号の答えを巻末の解答で確認できる。奇数・偶数の全問題の答えは、教員向け資料ページのInstructor Answer Guideを通じて、教員のみに提供される。

Additional Resources追加教材

Student and Instructor Resources学生・教員向けの教材

We’ve compiled additional resources for both students and instructors, including Getting Started Guides, manipulative mathematics worksheets, Links to Literacy assignments, and an answer key. Instructor resources require a verified instructor account, which can be requested on your openstax.org log-in. Take advantage of these resources to supplement your OpenStax book.
学生と教員の両方のために、利用開始ガイド、具体物を使う数学のワークシート、Links to Literacyの課題、解答などの追加教材をまとめている。教員用教材の利用には、教員であることを確認済みのアカウントが必要であり、openstax.orgにログインして申請できる。OpenStaxの本を補うものとして、これらの教材を活用できる。

Partner Resources提携先の教材

OpenStax Partners are our allies in the mission to make high-quality learning materials affordable and accessible to students and instructors everywhere. Their tools integrate seamlessly with our OpenStax titles at a low cost. To access the partner resources for your text, visit your book page on openstax.org.
OpenStaxの提携先は、質の高い学習教材を、どこにいる学生や教員にも手頃な価格で利用しやすいものにするという使命を共有する協力者である。提携先のツールは、低価格でOpenStaxの各教科書と円滑に組み合わせて使える。本書向けの提携教材は、openstax.orgの本書のページから利用できる。

About the Authors著者について

Senior Contributing Authors主な執筆者

Lynn Marecek and MaryAnne Anthony-Smith taught mathematics at Santa Ana College for many years and have worked together on several projects aimed at improving student learning in developmental math courses. They are the authors of Strategies for Success: Study Skills for the College Math Student, published by Pearson HigherEd.
Lynn MarecekとMaryAnne Anthony-Smithは、サンタアナカレッジで長年数学を教え、大学の補習数学の授業における学生の学習を改善するため、複数の事業に共同で取り組んできた。両名は、Pearson HigherEd刊『Strategies for Success: Study Skills for the College Math Student』の著者である。
Lynn Marecek, Santa Ana College
Lynn Marecek（サンタアナカレッジ）
MaryAnne Anthony-Smith, Santa Ana College
MaryAnne Anthony-Smith（サンタアナカレッジ）
Andrea Honeycutt Mathis, Northeast Mississippi Community College
Andrea Honeycutt Mathis（ノースイースト・ミシシッピ・コミュニティカレッジ）

Reviewers査読者

Tony Ayers, Collin College Preston Ridge Campus
David Behrman, Somerset Community College
Brandie Biddy, Cecil College
Bryan Blount, Kentucky Wesleyan College
Steven Boettcher, Estrella Mountain Community College
Kimberlyn Brooks, Cuyahoga Community College
Pamela Burleson, Lone Star College University Park
Tamara Carter, Texas A&M University
Phil Clark, Scottsdale Community College
Christina Cornejo, Erie Community College
Denise Cutler, Bay de Noc Community College
Richard Darnell, Eastern Wyoming College
Robert Diaz, Fullerton College
Karen Dillon, Thomas Nelson Community College
Valeree Falduto, Palm Beach State
Bryan Faulkner, Ferrum College
David French, Tidewater Community College
Stephanie Gable, Columbus State University
Heather Gallacher, Cleveland State University
Rachel Gross, Towson University
Dianne Hendrickson, Becker College
Linda Hunt, Shawnee State University
Betty Ivory, Cuyahoga Community College
Joanne Kendall, Lone Star College System
Kevin Kennedy, Athens Technical College
Stephanie Krehl, Mid-South Community College
Allyn Leon, Imperial Valley College
Gerald LePage, Bristol Community College
Laurie Lindstrom, Bay de Noc Community College
Jonathan Lopez, Niagara University
Yixia Lu, South Suburban College
Mikal McDowell, Cedar Valley College
Kim McHale, Columbia College of Missouri
Allen Miller, Northeast Lakeview College
Michelle Moravec, Baylor University TX/McLennan Community College
Jennifer Nohai-Seaman, Housatonic Community College
Rick Norwood, East Tennessee State University
Linda Padilla, Joliet Junior College
Kelly Proffitt, Patrick Henry Community College
Teresa Richards, Butte-Glenn Community College
Christian Roldan-Johnson, College of Lake County Community College
Patricia C. Rome, Delgado Community College, City Park Campus
Kegan Samuel, Naugatuck Valley Community College
Bruny Santiago, Tarrant College Southeast Campus
Sutandra Sarkar, Georgia State University
Richard Sgarlotti, Bay Mills Community College
Chuang Shao, Rose State College
Carla VanDeSande, Arizona State University
Shannon Vinson, Wake Technical Community College
Maryam Vulis, Norwalk Community College
Toby Wagner, Chemeketa Community College
Libby Watts, Tidewater Community College
Becky Wheelock, San Diego City College