Elementary and Middle School Mathematics: Teaching Developmentally
暫譯: 小學與中學數學：發展性教學

《小學與中學數學》展示了從幼兒園到八年級的孩子如何學習數學，並展示了使用以問題為基礎的活動教授數學的最有效方法。真實學生作品的範例和常見挑戰幫助您想像發展適宜的數學教學和評估，這些教學和評估支持並挑戰所有學習者。清晰的討論詳細說明了如何教授每個主題，該主題的學習進程可能是什麼，以及有價值的任務應該是什麼樣子。數百個適合課堂使用的活動展示了如何讓學生參與這些概念。作為您教學生涯中值得參考的寶貴資源，《小學與中學數學》幫助您現在以及未來發展教學策略。

第11版反映了共同核心州標準和NCTM的行動原則，以及當前的研究和最新的教學技術。

這本印刷教材可供學生租用以參加課程。Pearson的印刷租賃計劃為學生提供了負擔得起的學習材料，讓他們能夠準備好上課並取得成功。

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
約翰·A·范德瓦爾博士（1943年至2006年）是維吉尼亞聯邦大學的名譽教授。他是數學教育的領導者，定期為美國和加拿大的K到8年級教師舉辦專業發展工作坊，專注於讓學生參與數學推理和問題解決的數學教學。他曾訪問並在許多教室授課，並與教師合作實施以學生為中心的數學課程。他共同編寫了Scott Foresman-Addison Wesley Mathematics K-6系列，並為原始的Pearson School數學計劃enVisionMATH做出了貢獻。此外，約翰在全國數學教師協會（NCTM）中非常活躍，撰寫書籍章節和期刊文章，擔任董事會成員，擔任教育材料委員會主席，並在全國和地區會議上發言。

凱倫·S·卡普博士是約翰霍普金斯大學（馬里蘭州）的教授。之前，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，她曾是紐約的一名小學教師。她是Strengths-Based Teaching and Learning in Mathematics: 5 Teaching Turnarounds for grades K-6的共同作者，三本書系列The Math Pact: Achieving Instructional Cohesion within and Across Grades的共同作者，以及What Works Clearinghouse Practice Guide on Assisting Students Struggling with Mathematics: Intervention in the Elementary Grades的作者。她曾是全國數學教師協會（NCTM）董事會的成員，並曾擔任數學教師教育者協會的會長。2020年，她獲得了NCTM終身成就獎，2021年成為美國數學教學國家委員會的成員。她繼續在教室中工作，以支持教師以適當的方式教導有特殊需求的學生數學。

詹妮弗·貝伊-威廉斯博士是路易斯維爾大學的教授。她是數學教育的領導者，持續致力於支持數學教學。除了她在本書及相關的Teaching Student Centered Mathematics書系列上的工作外，詹妮弗最近還撰寫了一個名為Figuring out Fluency in Mathematics K-12 and Math Fact Fluency: 60+ Games and Assessment Tools to Help Learning and Retention的書系列。對於教師領導者，她撰寫了Everything You Need for Mathematics Coaching。在金融素養方面，她撰寫了一個名為On the Money的三本書系列。多年來，詹妮弗在美國和秘魯教授小學、中學和高中。她繼續與世界各地的教師及其當地學區合作，以支持他們的工作。詹妮弗積極參與NCTM、NCSM、AMTE和TODOS: Mathematics for All。目前，她擔任Mathematics Teacher: Learning and Teaching in preK-12的副編輯。

關於貢獻者
喬納森·雷博士是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的中學數學協調員。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）的會長，以及小學數學專家和教師領導者（EMS & TL）項目的經理。喬恩還曾擔任全國數學教師協會（NCTM）董事會的選舉成員（2012年至2015年）。他因在數學教學中融入技術的專業知識而受到認可，並被馬里蘭教育技術協會（MSET）評選為教育領域的傑出技術領導者。喬恩是2020年由全國數學監督協會頒發的羅斯·泰勒/格倫·吉爾伯特全國數學領導獎的獲得者。