Navigating Through Problem Solving And Reasoning In Grades 6 8
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Navigating Through Problem Solving and Reasoning in Grade 6 by Denisse Rubilee Thompson Pdf
Presents hands-on investigations that nuture reasoning and problem-solving strategies. Students have opportunities to reason about parts of a whole, analyze patterns of growth, discover area formulas for familiar shapes, explore scale factors and similar figures, and analyze a set of date to solve a real-world problem.
Author : Carol R. Findell,Carole E. Greenes Publisher : National Council of Teachers of English Page : 64 pages File Size : 46,7 Mb Release : 2004 Category : Education ISBN : STANFORD:36105122965358
Navigating Through Problem Solving and Reasoning in Grade 1 by Carol R. Findell,Carole E. Greenes Pdf
Contains instructions, blackline masters, and solutions for five investigations in the content strands identified in the series: number and operations, algebra, geometry, measurement, and data analysis and probability. The CD-ROM contains blackline masters, readings for teachers, and applets for student use.
Navigating Through Problem Solving and Reasoning in Grade 5 by Anonim Pdf
Problem solving and reasoning are students' processes of actively applying what they know to new problems from diverse areas of mathematics. Knowing a variety of mathematical ideas is insufficient unless students can draw on, integrate and use them to solve challenging, complex problems. The Navigating through Problem Solving and Reasoning books for grades 3-6 present hands-on investigations that nurture reasoning and problem-solving strategies in each of the upper elementary grades. In investigations for grade 5, children reason about place value and divisibility by making a PIN for a security system, explore rates of change by projecting sales at a new pet shop and determine the best month for a ski trip by analysing snowfall data. Students apply mathematical ideas from the five main content areas-number, algebra, geometry, measurement and data analysis. As they work, they infer, generalise, reason by analogy, recognise relationships and make representations and they also predict, check and revise and verify their results. The Navigations series translates Principles and Standards for School Mathematics into action.Each book includes practical, teacher-tested activities and a supplemental CD-ROM that features applets for students' use and resources for teachers' professional development.
Author : Carole E. Greenes Publisher : National Council of Teachers of English Page : 54 pages File Size : 44,5 Mb Release : 2003 Category : Education ISBN : STANFORD:36105122965309
Navigating Through Problem Solving and Reasoning in Prekindergarten-kindergarten by Carole E. Greenes Pdf
Offers activities designed to help students develop skills in problem solving and reasoning. The accompanying CD-ROM includes applets for students' use and resources for teachers' professional development.
Teaching Mathematics in Grades 6 - 12 by Randall E. Groth Pdf
Teaching Mathematics in Grades 6 - 12 by Randall E. Groth explores how research in mathematics education can inform teaching practice in grades 6-12. The author shows preservice mathematics teachers the value of being a "researcher—constantly experimenting with methods for developing students' mathematical thinking—and connecting this research to practices that enhance students' understanding of the material. Ultimately, preservice teachers will gain a deeper understanding of the types of mathematical knowledge students bring to school, and how students' thinking may develop in response to different teaching strategies.
Navigating Through Problem Solving and Reasoning in Grade 2 by Marian Small,Carole E. Greenes Pdf
Contains instructions, blackline masters, and solutions for five investigations in the content strands identified in the series: number and operations, algebra, geometry, measurement, and data analysis and probability. The CD-ROM contains blackline masters, readings for teachers, and applets for student use.
Author : Karol L. Yeatts Publisher : National Council of Teachers of English Page : 76 pages File Size : 50,8 Mb Release : 2004 Category : Education ISBN : STANFORD:36105122965291
Navigating Through Problem Solving and Reasoning in Grade 3 by Karol L. Yeatts Pdf
Students reason about place value by making and using pedometers, understand related changes in two quantities by exploring parade formations for thirty-six marchers, and analyze data by devising rules for earning reading certificates.
Author : Karol L. Yeatts Publisher : National Council of Teachers of English Page : 100 pages File Size : 50,6 Mb Release : 2005 Category : Education ISBN : STANFORD:36105122965366
Navigating Through Problem Solving and Reasoning in Grade 4 by Karol L. Yeatts Pdf
Features investigations in each of the five content areas of Principles and Standards for School Mathematics. In addition to using Eratosthenes' sieve to identify prime numbers, fourth graders evaluate algebraic relationships in contracts between theatre owners and movie distributors. They consider geometric possibilities for rectangular puzzles, convert surprising real-world measures into equivalent but more comprehensible measures and examine tables and graphs to extrapolate missing data.
Reasoning and Sense Making in the Mathematics Classroom by Michael T. Battista Pdf
Reasoning and Sense Making in the Mathematics Classroom, Grades 6-8, based on extensive research conducted by the authors, is designed to help classroom teachers understand, monitor, and guide the development of students' reasoning and sense making about core ideas in middle school mathematics. It describes and illustrates the nature of these skills using classroom vignettes and actual student work in conjunction with instructional tasks and learning progressions to show how instruction can support students in their development of these competencies. Students who can make sense of mathematical ideas can apply those ideas in problem solving, even in unfamiliar situations, and can use them as a foundation for future learning. Without this base of conceptual understanding, students are reduced to rote learning, often experiencing frustration and failure. But what do reasoning and sense making look like in learning and teaching? Each chapter of Reasoning and Sense Making in the Mathematics Classroom, Grades 6-8 explores a different topic that children encounter in mathematics, demonstrating with actual student work and classroom dialogue how their mathematical knowledge and reasoning ability move through "levels of sophistication," or learning progressions: After opening with a discussion of the nature of reasoning and sense making and their critical importance in developing mathematical thinking, chapter 1 examines how students attempt to make sense of the concepts of fractions and geometric properties of shapes. Chapter 2 discusses how reasoning about ratios and proportional relationships involves deep understanding of the multiplicative relationships embedded in the comparisons of two quantities. Chapter 3 focuses on what it means to call algebra a "style of mathematical thinking" and illustrates how students can view it as a reasoning and sense-making activity rather than as an isolated set of concepts to be memorized without understanding and quickly forgotten. Reasoning and sense making are inextricably linked in statistics and probability. Discussion and examples are used in chapter 4 to illustrate pedagogical practices that recognize and address students' development of statistical understanding, including some of the misunderstandings that students display along the way. Chapter 5 examines how students make sense of and reason about decomposing shapes, and discusses the mental processes underlying this reasoning in the context of area, surface area, and volume. Not just a theoretical treatise, the book provides specific suggestions for related instructional activities for each topic. Reasoning and Sense Making in the Mathematics Classroom, Grades 6-8 will be a valuable and practical addition to your professional library.
