The SAT I Reasoning Test is widely used in colleges throughout the United States as a screening device for student admission. This guide is designed to help high school teachers assist their college applicants in preparing for this crucial test. The book provides an overview of the SAT I Test and a selective review of mathematics taught through elementary algebra and geometry. Curricular issues addressed include: what to teach, how to present it, and what consititutes the best possible setting. The importance of students' development of accuracy and speed is stressed throughout, and specific problem-solving strategies and short-cuts are presented in detail along with instructions for advising students on how and when to use them - and when it's best to guess.
The SAT I Reasoning Test is widely used in colleges throughout the United States as a screening device for student admission. This guide is designed to help high school teachers assist their college applicants in preparing for this crucial test. The book provides an overview of the SAT I Test and a selective review of mathematics taught through elementary algebra and geometry. Curricular issues addressed include: what to teach, how to present it, and what consititutes the best possible setting. The importance of students' development of accuracy and speed is stressed throughout, and specific problem-solving strategies and short-cuts are presented in detail along with instructions for advising students on how and when to use them - and when it's best to guess.
"The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving." -Howard W. Smith, Superintendent Public Schools of the Tarrytowns, Sleepy Hollow, NY "Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers." -Daniel Jaye, Principal Bergen County Academies, Hackensack, NJ Help students become skilled and confident problem solvers! Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods-including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation-make problem solving easier, neater, and more understandable for students as well as teachers. Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also includes: A variety of new problems that show how to use the strategies References to current NCTM standards Solutions to the problems in each chapter Extensive discussions of the empowering strategies used to solve sample problems The second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 helps teachers develop students' creative problem-solving skills for success in and out of school.
"The authors have provided a unique, strategy-focused resource supported by a wealth of engaging examples that mathematics teachers can readily use to help students develop a more purposeful, systematic, and successful approach to problem solving." -Howard W. Smith, Superintendent Public Schools of the Tarrytowns, Sleepy Hollow, NY "Helps both new and veteran teachers better understand the nature of problem solving as a critical mathematics process. The authors present in very simple terms the strategies that are the backbone of mathematics instruction. This indispensable material is useful at all levels, from basic stages to advanced student work to the development of top problem solvers." -Daniel Jaye, Principal Bergen County Academies, Hackensack, NJ Help students become skilled and confident problem solvers! Demonstrating there is always more than one approach to solving a problem, well-known authors and educators Alfred S. Posamentier and Stephen Krulik present ten basic strategies that are effective for finding solutions to a wide range of mathematics problems. These tried-and-true methods-including working backwards, finding a pattern, adopting a different point of view, solving a simpler analogous problem, and making a visual representation-make problem solving easier, neater, and more understandable for students as well as teachers. Providing numerous sample problems that illustrate how mathematics teachers and specialists can incorporate these techniques into their mathematics curriculum, this updated edition also includes: A variety of new problems that show how to use the strategies References to current NCTM standards Solutions to the problems in each chapter Extensive discussions of the empowering strategies used to solve sample problems The second edition of Problem-Solving Strategies for Efficient and Elegant Solutions, Grades 6-12 helps teachers develop students' creative problem-solving skills for success in and out of school.
Help students succeed as problem solvers in mathematics and in real-life situations! Based on the premise that problem solving is a key mathematics skill and an essential life skill, this book is designed to help teachers at all grade levels engage students in active problem solving. This resource presents ten easy-to-use strategies that offer elegant alternate approaches for resolving many types of mathematics problems. The authors demonstrate how you can: Apply the strategies to problems at different grade levels Incorporate the strategies into your mathematics program Use the strategies in real-life situations Make each strategy a part of your thinking processes
Help students succeed as problem solvers in mathematics and in real-life situations! Based on the premise that problem solving is a key mathematics skill and an essential life skill, this book is designed to help teachers at all grade levels engage students in active problem solving. This resource presents ten easy-to-use strategies that offer elegant alternate approaches for resolving many types of mathematics problems. The authors demonstrate how you can: Apply the strategies to problems at different grade levels Incorporate the strategies into your mathematics program Use the strategies in real-life situations Make each strategy a part of your thinking processes
