The teaching and learning of algorithms in school mathematics

Chapters include: (1) \"Whither Algorithms? Mathematics Educators Express Their Views\" (Lorna J. Morrow); (2) \"Paper-and-Pencil Algorithms in a Calculator-and-Computer Age\" (Zalman Usiskin); (3) \"What Is an Algorithm? What Is an Answer?\" (Stephen B. Maurer); (4) \"Algorithmic and Recursive Thinking: Current Beliefs and Their Implications for the Future\" (Tabitha T.Y. Mingus and Richard M. Grassl); (5) \"Teaching Mental Algorithms Constructively\" (Alistair McIntosh); (6) \"What Criteria for Student-Invented Algorithms?\" (Patricia F. Campbell, Thomas E. Rowan, and Anna R. Suarez); (7) \"The Importance of Algorithms in Performance-Based Assessments\" (Dominic Peressini and Eric Knuth); (8) \"A Brief History of Algorithms in Mathematics\" (Janet Heine Barnett); (9) \"Understanding Algorithms from Their History\" (Barnabas Hughes); (10) \"An Exploration of the Russian Peasant Method of Multiplication\" (Laura Sgroi); (11) \"Hammurabi\'s Calculator\" (Clifford Wagner); (12) \"Capsule Lessons in Alternative Algorithms for the Classroom\" (Diane E. Mason); (13) \"Historical Algorithms: Sources for Student Projects\" (Rheta N. Rubenstein); (14)\"Alternative Algorithms for Whole-Number Operations\" (William M. Carroll and Denise Porter); (15) \"My Family Taught Me This Way\" (Pilar Ron); (16) \"Calculators in Primary Mathematics: Exploring Number Before Teaching Algorithms\" (Susie Groves and Kaye Stacey); (17) \"The Harmful Effects of Algorithms in Grades 1-4\" (Constance Kamii and Ann Dominick); (18) \"A Contextual Investigation of Three-Digit Addition and Subtraction\" (Kay McClain, Paul Cobb, and Janet Bowers); (19) \"Children\'s Invented Algorithms for Multidigit Multiplication Problems\" (Jae-Meen Baek); (20) \"The \'Write\' Way To Mathematical Understanding\" (David J. Whitin and Phyllis E. Whitin); (21) \"Letting Fraction Algorithms Emerge through Problem Solving\" (DeAnn Huinker); (22) \"Developing Algorithms for Adding and Subtracting Fractions\" (Glenda Lappan and Mary K. Bouck); (23) \"A Constructed Algorithm for the Division of Fractions\" (Janet Sharp); (24) \"Dividing Fractions by Using the Ratio Table\" (Jonathan L. Brendefur and Ruth C. Pitingoro); (25) \"Teaching Statistics: What\'s Average?\" (Susan N. Friel); (26) \"Algorithms for Solving Nonroutine Mathematical Problems\" (Jinfa Cai and Connie Laughlin); (27) \"Algebra and Technology\" (Ann Bruner, Kathy Coskey, and Sharon K. Sheehan); (28) \"A New Look at an Old Algorithm: The Semiaverage Line\" (Michael McNamara); (29) \"Random-Number Generators: A Mysterious Use of Algorithms\" (Stephanie O. Robinson and Donald J. Dessart); (30) \"Algorithmic Problem Solving in Discrete Mathematics\" (Eric W. Hart); (31) \"The Traveling Salesperson: Some Algorithms Are Different\" (Lowell Leake); and (32) \"Using Algorithms To Generate Objects of Mathematical Interest\" (Elaine Simmt).