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Book Cover
Book
Author Dutton, Wilbur H.

Title Mathematics children use and understand : preschool through third grade / Wilbur H. Dutton and Ann Dutton
Published Mountain View, Calif. : Mayfield Pub. Co., [1991]
©1991

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Location Call no. Vol. Availability
 MELB  372.7 Dut/Mcu  AVAILABLE
Description xvi, 330 pages : illustrations ; 24 cm
Contents Chapter 1: Reform in arithmetic, new mathematical content, and structure of mathematics -- Current reform in arithmetic -- The reform movement in mathematics education -- Twelve components of essential mathematics -- The organization and structure of mathematics -- Mathematical Components of children's environment -- Summary -- Activities for teacher insight -- References -- Chapter 2: Child development and applications of Piaget's theories to mathematics teaching and learning -- Child development -- Piaget's contributions to mathematics education -- Fostering the growth of intelligence -- Implications of Piaget's theories for children four through eight years of age -- Mathematical concepts and the discovery process -- Teaching for understanding -- Technology for the classroom -- Problem solving -- Principles for guiding learning activities -- Purposes of mathematics education for children four through eight years of age -- Evaluation -- Summary -- Activities for teacher insight -- References -- Chapter 3: Mathematics for four-year-old children -- Learning experiences for the four-year-old child -- Thinking and exploration levels -- Planning an environment for experiences with mathematics -- Problem solving -- Mathematics vocabulary and language -- Mathematics through children's literature -- Mathematics in social situations -- Activities centering around child's environment -- Prenumber experience -- Calculator and computer instruction and software -- Developing work habits -- Suggestions for evaluating children's understanding of prenumber concepts -- Summary -- Activities for teacher insight -- References -- Chapter 4: Mathematics for five-year-old children -- Mathematics program for five-year-old children -- Scope and sequence chart -- The importance of language to thinking and learning mathematics -- Helping the young child with language -- Organizing the classroom for math -- Counting -- Writing numerals -- Classifying things around us -- Components of children's environment -- Mathematical ideas and concepts -- Using numbers 1 through 10 -- Problem solving -- Calculators -- Computers -- Evaluation -- Summary -- Activities for teacher insight -- References -- Chapter 5: Mathematics for six-year-old children -- Mathematics program for six-year-olds -- Language development -- Classroom organization -- Number: discovering relationships among different quantities -- addition and subtraction -- Subtraction with whole numbers -- Problem solving -- Calculators -- Computers -- Evaluation -- Summary -- Activities for teacher insight -- References -- Chapter 6: Mathematics for seven-year-old children -- Mathematics program for seven-year olds -- Extensions and clarification of mathematics language -- Components of children's environment -- Number -- Problem solving -- Calculators -- Computers -- Evaluation -- Summary -- Activities for teacher insight -- References -- Chapter 7: Mathematics for eight-year-old children -- Mathematics program for eight-year-olds -- Language development -- Components of children's environment -- Number and numeration -- Addition of whole numbers -- Subtraction of whole numbers -- Multiplication of whole numbers -- Division of whole numbers -- Problem solving -- Calculators -- Computers -- Summary -- Activities for teacher insight -- References
Chapter 8: Evaluation -- Evaluation related to the sequencing of instruction -- Selecting and using evaluation techniques -- Evaluation techniques -- Evaluating prenumber concepts -- Evaluating beginning number concepts -- Evaluation content: six-year-olds -- Evaluation content: Seven-year-olds -- Evaluation content: Eight-year-olds -- Evaluation using interview method -- Evaluation of attitudes -- the affective domain -- Evaluation structured into math programs -- Summary -- Activities for teacher insight -- References -- Chapter 9: Computing technology and school mathematics -- The importance of computers -- Standards for school mathematics -- Characteristics of computers -- Computers and young children -- Seecting appropriate software -- Innovative computer projects -- Cultural impact of computers on math education -- Sources for securing appropriate software and services -- Meaningful use of calculators -- Calculator exercises -- Summary -- Activities for teacher insight -- References -- Chapter 10: Planning for instruction, classroom organization, and resource materials -- Scope and sequence for math -- A new scope and sequence for mathematics -- four-year-olds throught eight-year-olds -- Yearly planning of math program -- Weekly planning -- Sample class schedules and room arrangements -- Essential classroom materials -- Managing class activities at work stations -- Math concepts in classroom activities -- Mathematics activities for group circle -- Children's cooking activities -- Children's books with math applications -- Poster photographs with math applications -- Summary -- Activities for teacher insight -- References -- Appendix A: Physical, cognitive, social-emotional traits, and needs of children four through eight years of age -- Appendix B: Individual evaluation techniques: Piagetian concepts -- Glossary -- Index
Bibliography Includes bibliographical references and index
Subject Mathematics -- Study and teaching (Preschool)
Mathematics -- Study and teaching (Primary)
Author Dutton, Ann, 1935-
LC no. 90047524
ISBN 0874849683