Analysis of arithmetic for mathematics teaching

This volume emerges from a partnership between the American Federation of Teachers and the Learning Research and Development Center at the University of Pittsburgh. The partnership brought together researchers and expert teachers for intensive dialogue sessions focusing on what each community knows about effective mathematical learning and instruction. The chapters deal with the research on, and conceptual analysis of, specific arithmetic topics (addition, subtraction, multiplication, division, decimals, and fractions) or with overarching themes that pervade the early curriculum and constitute the links with the more advanced topics of mathematics (intuition, number sense, and estimation). Serving as a link between the communities of cognitive researchers and mathematics educators, the book capitalizes on the recent research successes of cognitive science and reviews the literature of the math education community as well.

Making sense of numbers in school mathematics / Judith T. Sowder -- Research on learning and teaching addition and subtraction of whole numbers / Karen C. Fuson -- Solving multiplication word problems / Pearla Nesher -- Teaching and learning long division for understanding in school / Magdalene Lampert -- Mathematical, cognitive, and instructional analyses of decimal fractions / James Hiebert -- Rational and fractional numbers as mathmatical and personal knowledge : implications for curriculum and instruction / Thomas E. Kieran -- From protoquantities to operators : building mathematical competence on a foundation of everyday knowledge / Lauren B. Resnick -- Epilogue / Marilyn Rauth and Lovely Billups.