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作者 Brumbaugh, Douglas K
書名 Teaching K-6 Mathematics
出版項 Mahwah : Taylor & Francis Group, 2002
國際標準書號 9781410606419 (electronic bk.)
book jacket
說明 1 online resource (335 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
附註 Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Contents in Brief -- Table of Contents -- Preface -- About the Authors -- As a Teacher of Mahematics: An Introduction -- What Makes an Effective Teacher of Mathematics? -- 1 Guiding Principles for School Mathematics -- Beginnings -- Curriculum -- Planning -- Assessment -- Using Technology to Teach Mathematics -- Manipulatives -- 2 Number and Operations -- Early Childhood -- Number Sense -- Whole Number Operations -- Fraction Operations -- Decimal Operations -- Integer Operations -- Number Notation -- 3 Algebra in the Elementary Classroom -- When Does Algebra Begin? -- Laying the Foundation for Algebra -- Integrating Algebra in the Elementary Classroom -- Formulas -- Formulas for Elementary Mathematics -- 4 Geometry in the Elementary Classroom -- Building a Foundation -- Manipulatives and Geometry -- Integrating Technology Into Geometry -- 5 Measurement in the Elementary Classroom -- Basic Measurement -- Readiness -- Need for Measurement -- Inch-Foot-Pound (U.S. Common, U.S. Standard) -- Metric System -- Time -- Money -- Area -- Perimeter -- Circumference -- Volume -- 6 Data Analysis and Probability -- Gathering Data -- Statistics -- Probability -- 7 Problem Solving -- Sequence for Student Development -- History of Problem Solving -- Philosophical Approaches to Problem Solving -- Teaching Problem Solving -- Real-World Problems and Applications -- 8 Reasoning and Proof -- Why Prove Things? -- Informal Proofs -- Teacher Responsibility in Developing Reasoning and Proof -- 9 Communication -- Clarity of Thought -- Ways of Expressing What You Know -- 10 Connections -- 11 Representation -- Different Ways of Saying the Same Thing -- Index -- Solutions Manual -- Tag Activities -- Tag Solutions Manual
This developmentally sound, research-based, practical text speaks directly to preservice elementary mathematics students about the multitude of ways they can help their future students learn to see the power, beauty, necessity, and usefulness of mathematics in the world.Part 1 deals with guiding principles that permeate the text, while Parts 2-11 deal with the specific NCTM Standards for grades K-6. Teaching K-6 Mathematics: *is aligned with the current NCTM Curriculum and Evaluation Standards for School Mathematics; *integrates content and methodology; *emphasizes use of technology as a teaching/learning tool; *stresses problem solving; *provides basic information on current research in mathematics education; *focuses on identification of error patterns and analysis; *uses a down-to-earth, friendly writing style that engages the student rather than prescribing what to do; and *includes many activities and exercises, including games, tricks, and amusements that can be used in the classroom to increase student interest in mathematics. Features: *Technology is integral throughout the text. Students are expected to perform Internet searches, investigate new sites appropriate for elementary students, sample new software that could be used in the classroom, and develop ways to blend calculators into the curriculum. *Manipulatives are considered essential for students to learn elementary mathematics concepts. Cuisenaire rods, base 10- blocks, chips, number lines, and geoboards are all part of the manipulative landscape that is created in this text. *Careful attention is given to blending rote work, developmental activities, fun, application, technology, manipulatives, assessment, and planning, so that prospective teachers become accustomed to using varied approaches and decision making as a curriculum is determined. *Tricks, Activities, and Games (TAG)
provide a wealth of ideas to attract students to learning mathematics
Description based on publisher supplied metadata and other sources
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
鏈接 Print version: Brumbaugh, Douglas K. Teaching K-6 Mathematics Mahwah : Taylor & Francis Group,c2002 9780805832686
主題 Mathematics -- Study and teaching (Primary);Mathematics -- Study and teaching (Elementary)
Electronic books
Alt Author Rock, David
Brumbaugh, Linda S
Rock, Michelle Lynn
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