Elementary and Middle School Mathematics: Teaching Developmentally

Elementary and Middle School Mathematics illustrates how children in PreK to 8th grade learn math, and then shows the most effective methods of teaching math using problem-based activities. Examples of real student work and common challenges help you visualize developmentally appropriate mathematics instruction and assessment that supports and challenges all learners. Clear discussions detail how to teach each topic, what a learning progression for that topic might be, and what worthwhile tasks look like. Hundreds of classroom-ready activities show how you can engage students with the concepts. A valuable reference to consult throughout your teaching career, Elementary and Middle School Mathematics helps you develop pedagogical strategies now, and in your future teaching.

The 11th Edition reflects the Common Core State Standards and NCTM's Principles to Actions, as well as current research and the latest teaching technology.

This print textbook is available for students to rent for their classes. The Pearson print rental program provides students with affordable access to learning materials, so they come to class ready to succeed.

《小學和中學數學》展示了學齡前到八年級學生學習數學的方式，並展示了使用基於問題的活動教授數學的最有效方法。真實學生作品和常見挑戰的例子幫助您形象化地理解適合發展階段的數學教學和評估，以支持和挑戰所有學習者。清晰的討論詳細介紹了如何教授每個主題，該主題的學習進程可能是什麼，以及有價值的任務是什麼樣子。數百個適用於課堂的活動展示了如何讓學生參與其中並理解概念。作為您教學生涯中的寶貴參考資料，《小學和中學數學》幫助您現在和未來的教學中發展教學策略。

《第11版》反映了共同核心國家標準和NCTM的行動原則，以及最新的研究和教學技術。

這本印刷教科書可供學生租借使用。Pearson的印刷租借計劃為學生提供了經濟實惠的學習資料，使他們準備好迎接課堂成功。

Dr. John A. Van de Walle (1943 to 2006) was a professor emeritus at Virginia Commonwealth University. He was a leader in mathematics education who regularly gave professional development workshops for K to 8 teachers in the United States and Canada focused on mathematics instruction that engaged students in mathematical reasoning and problem solving. He visited and taught in many classrooms and worked with teachers to implement student-centered mathematics lessons. He co-authored the Scott Foresman-Addison Wesley Mathematics K-6 series and contributed to the original Pearson School mathematics program, enVisionMATH. Additionally, John was very active in the National Council of Teachers of Mathematics (NCTM), writing book chapters and journal articles, serving on the board of directors, chairing the educational materials committee, and speaking at national and regional meetings.

Dr. Karen S. Karp is a professor at Johns Hopkins University (Maryland). Previously, she was a professor of mathematics education at the University of Louisville for more than twenty years. Prior to entering the field of teacher education, she was an elementary school teacher in New York. She is the coauthor of Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for grades K-6, the three-book series The Math Pact: Achieving Instructional Cohesion within and Across Grades, and the What Works Clearinghouse Practice Guide on Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades. She is a former member of the board of directors for the National Council of Teachers of Mathematics (NCTM) and a former president of the Association of Mathematics Teacher Educators. In 2020, she received the NCTM Lifetime Achievement Award and in 2021 became a member of the United States National Committee on Mathematics Instruction. She continues to work in classrooms to support teachers in ways to instruct students with special needs in math.

Dr. Jennifer Bay-Williams is a professor at the University of Louisville. She is a leader in mathematics education, continually working to support mathematics instruction. Beyond her work on this book and the related Teaching Student Centered Mathematics book series, Jennifer has most recently authored a book series called Figuring out Fluency in Mathematics K-12 and Math Fact Fluency: 60+ Games and Assessment Tools to Help Learning and Retention. For teacher leaders, she has authored Everything You Need for Mathematics Coaching. In the area of financial literacy, she authored a three-book series titled On the Money. Over the years, Jennifer has taught elementary, middle, and high school in the U.S. and in Peru. She continues to work with teachers around the world and in her local school districts to support their work. Jennifer has been actively involved in NCTM, NCSM, AMTE, and TODOS: Mathematics for All. Currently she is serving as an associate editor for Mathematics Teacher: Learning and Teaching in preK-12.

Dr. Jonathan Wray is the technology contributor to Elementary and Middle School Mathematics, Teaching Developmentally (6th through 11th editions). He is the Coordinator for Secondary Mathematics in the Howard County Public School System. He has served as the president of the Association of Maryland Mathematics Teacher Educators (AMMTE) and the Maryland Council of Teachers of Mathematics (MCTM) and manager of the Elementary Mathematics Specialists and Teacher Leaders (EMS & TL) Project. Jon also served as an elected member of the National Council of Teachers of Mathematics (NCTM) Board of Directors (2012 to 2015). He has been recognized for his expertise in infusing technology in mathematics teaching and was named an outstanding technology leader in education by the Maryland Society for Educational Technology (MSET). Jon is the recipient of the 2020 Ross Taylor / Glen Gilbert National Mathematics Leadership Award given by the National Council of Supervisors of Mathematics.

關於我們的作者
Dr. John A. Van de Walle（1943年至2006年）是維吉尼亞州立大學的名譽教授。他是數學教育領域的領導者，定期為美國和加拿大的K至8年級教師提供專業發展工作坊，重點是讓學生參與數學推理和問題解決的數學教學。他參觀並教授了許多教室，並與教師合作實施以學生為中心的數學課程。他是《Scott Foresman-Addison Wesley Mathematics K-6》系列的合著者，並為原始的Pearson School數學課程《enVisionMATH》做出了貢獻。此外，John在全國數學教師協會（NCTM）非常活躍，撰寫了書籍章節和期刊文章，擔任董事會成員，主持教育材料委員會，並在全國和地區會議上發表演講。

Dr. Karen S. Karp是約翰霍普金斯大學（馬里蘭州）的教授。此前，她在路易斯維爾大學擔任數學教育教授超過二十年。在進入教師教育領域之前，她曾在紐約擔任小學教師。她是《Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for grades K-6》、三本書的系列《The Math Pact: Achieving Instructional Cohesion within and Across Grades》以及《What Works Clearinghouse Practice Guide on Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades》的合著者。她曾是全國數學教師協會（NCTM）董事會成員，以及數學教師教育者協會的前任主席。2020年，她獲得了NCTM終身成就獎，並於2021年成為美國國家數學教學委員會的成員。她繼續在教室中工作，支持教師以特殊需求的方式教授數學。

Dr. Jennifer Bay-Williams是路易斯維爾大學的教授。她是數學教育領域的領導者，不斷努力支持數學教學。除了參與本書和相關的《Teaching Student Centered Mathematics》書系的工作外，Jennifer最近還撰寫了一本名為《Figuring out Fluency in Mathematics K-12 and Math Fact Fluency: 60+ Games and Assessment Tools to Help Learning and Retention》的書系。對於教師領導者，她還撰寫了《Everything You Need for Mathematics Coaching》。在金融素養領域，她撰寫了一本名為《On the Money》的三本書系。多年來，Jennifer在美國和秘魯的小學、中學和高中教授過數學。她繼續與世界各地的教師合作，支持他們的工作。Jennifer積極參與NCTM、NCSM、AMTE和TODOS：Mathematics for All等組織。目前，她擔任《Mathematics Teacher: Learning and Teaching in preK-12》的副編輯。

關於貢獻者
Dr. Jonathan Wray是《Elementary and Middle School Mathematics, Teaching Developmentally》（第6至11版）的技術貢獻者。他是霍華德縣公立學校系統中學數學協調員。他曾擔任馬里蘭數學教師教育者協會（AMMTE）和馬里蘭數學教師協會（MCTM）的主席，以及小學數學專家和教師領導者（EMS＆TL）項目的經理。Jon還曾擔任全國數學教師協會（NCTM）董事會的當選成員（2012年至2015年）。他以在數學教學中融入技術的專業知識而受到認可。