The teaching and learning of algorithms in school mathematics:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Reston, Va.
National Council of Teachers of Mathematics
1998
|
| Series: | Yearbook / National Council of Teachers of Mathematics
1998 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 280 S. Ill., graph. Darst. |
| ISBN: | 0873534409 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
Preface vii
Part 1: Issues
1. Whither Algorithms?
Mathematics Educators Express Their Views 1
Lorna J. Morrow
Aurora, Ontario
2. Paper and Pencil Algorithms in a Calculator and Computer Age 7
Zalman Usiskin
University of Chicago, Chicago, Illinois
3. What Is an Algorithm? What Is an Answer? 21
Stephen B. Maurer
Swarthmore College, Swarthmore, Pennsylvania
4. Algorithmic and Recursive Thinking:
Current Beliefs and Their Implications for the Future 32
Tabitha T. Y. Mingus
Morehead State University, Morehead, Kentucky
Richard M. Grassl
University of Northern Colorado, Greeley, Colorado
5. Teaching Mental Algorithms Constructively 44
Alistair McIntosh
Edith Cowan University, Churchlands, Western Australia
6. What Criteria for Student Invented Algorithms? 49
Patricia F. Campbell
University of Maryland, College Park, Maryland
Thomas E. Rowan
Western Maryland College, Westminster, Maryland
Anna R. Suarez
Burnt Mills Elementary School, Silver Spring, Maryland
7. The Importance of Algorithms in
Performance Based Assessments 56
Dominic Peressini
University of Colorado at Boulder, Boulder, Colorado
Eric Knuth
University of Colorado at Boulder, Boulder, Colorado
Hi
iv Contents
Part 2: History
8. A Brief History of Algorithms in Mathematics 69
Janet Heine Barnett
University of Southern Colorado, Pueblo, Colorado
9. Understanding Algorithms from Their History 78
Barnabas Hughes, O.F.M.
California State University/Northridge, Northridge, California
10. An Exploration of the Russian Peasant Method of Multiplication... 81
Laura Sgroi
State University of New York/College at New Paltz, New Paltz, New York
11. Hammurabi s Calculator 86
Clifford Wagner
Penn State University at Harrisburg, Middletown, Pennsylvania
12. Capsule Lessons in Alternative Algorithms for the Classroom 91
Diane E. Mason
Indian Hills Community College, Centerville, Iowa
13. Historical Algorithms: Sources for Student Projects 99
Rheta N. Rubenstein
Schoolcraft College, Livonia, Michigan
Part 3: Curriculum and Instruction—Elementary Grades
14. Alternative Algorithms for Whole Number Operations 106
William M. Carroll
University of Chicago School Mathematics Project, Chicago, Illinois
Denise Porter
University of Chicago School Mathematics Project, Chicago, Illinois
15. My Family Taught Me This Way 115
Pilar Ron
Northwestern University, Evanston, Illinois
16. Calculators in Primary Mathematics:
Exploring Number before Teaching Algorithms 120
Susie Groves
Deakin University, Burwood, Victoria, Australia
Kaye Stacey
University of Melbourne, Parkville, Victoria, Australia
17. The Harmful Effects of Algorithms in Grades 1 4 130
Constance Kamii
University of Alabama at Birmingham, Birmingham, Alabama
Ann Dominick
South Shades Crest Elementary School, Hoover, Alabama
Contents v
18. A Contextual Investigation of
Three Digit Addition and Subtraction 141
Kay McClain
Vanderbilt University, Nashville, Tennessee
Paul Cobb
Vanderbilt University, Nashville, Tennessee
Janet Bowers
San Diego State University, Center for Mathematics and Science Education,
San Diego, California
19. Children s Invented Algorithms
for Multidigit Multiplication Problems 151
Jae Meen Baek
University of Wisconsin—Madison, University Center for Education Research,
Madison, Wisconsin
20. The Write Way to Mathematical Understanding 161
David J. Whitin
University of South Carolina, Columbia, South Carolina
Phyllis E. Whitin
Dutch Fork Elementary School, Irmo, South Carolina
Part 4: Curriculum and Instruction—Middle Grades
21. Letting Fraction Algorithms Emerge through Problem Solving.... 170
DeAnn Huinker
University of Wisconsin—Milwaukee, Milwaukee, Wisconsin
22. Developing Algorithms for Adding and Subtracting Fractions 183
Glenda Lappan
Michigan State University, East Lansing, Michigan
Mary K. Bouck
Battle Creek Public Schools, Battle Creek, Michigan
23. A Constructed Algorithm for the Division of Fractions 198
Janet Sharp
Iowa State University, Ames, Iowa
24. Dividing Fractions by Using the Ratio Table 204
Jonathan L. Brendefur
University of Wisconsin—Madison, Madison, Wisconsin
Ruth C. Pitingoro
Bethel Junior High School, Puyallup, Washington
25. Teaching Statistics: What s Average? 208
Susan N. Friel
University of North Carolina at Chapel Hill, Chapel Hill, North Carolina
vi Contents
26. Algorithms for Solving Nonroutine Mathematical Problems 218
JlNFA CAI
University of Delaware, Newark, Delaware
John C. Moyer
Marquette University, Milwaukee, Wisconsin
Connie Laughlin
Mequon Thiensville Schools, Milwaukee, Wisconsin
Part 5: Curriculum and Instruction—Secondary Grades
27. Algebra and Technology 230
Ann Brunner
Glenbrook South High School, Glenview, Illinois
Kathy Coskey
Glenbrook South High School, Glenview, Illinois
Sharon K. Sheehan
Glenbrook South High School, Glenview, Illinois
28. A New Look at an Old Algorithm: The Semiaverage Line 239
Michael McNamara
LaSalle Academy, Providence, Rhode Island
29. Random Number Generators: A Mysterious Use of Algorithms ... 243
Stephanie O. Robinson
University of Tennessee/Knoxville, Knoxville, Tennessee
Donald J. Dessart
University of Tennessee/Knoxville, Knoxville, Tennessee
30. Algorithmic Problem Solving in Discrete Mathematics 251
Eric W. Hart
Western Michigan University, Kalamazoo, Michigan;
Maharishi University of Management, Fairfield, Iowa
31. The Traveling Salesperson: Some Algorithms Are Different 268
Lowell Leake
University of Cincinnati, Cincinnati, Ohio
32. Using Algorithms to Generate Objects of Mathematical Interest... 274
Elaine Simmt
University of Alberta, Edmonton, Alberta
|
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| indexdate | 2024-07-09T19:14:44Z |
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| isbn | 0873534409 |
| language | English |
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| physical | VIII, 280 S. Ill., graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
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| series2 | Yearbook / National Council of Teachers of Mathematics |
| spelling | The teaching and learning of algorithms in school mathematics Lorna J. Morrow, 1998 yearbook ed. ... Reston, Va. National Council of Teachers of Mathematics 1998 VIII, 280 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Yearbook / National Council of Teachers of Mathematics 1998 Algorithmus - Mathematikunterricht Mathematikunterricht (DE-588)4037949-8 gnd rswk-swf Algorithmus (DE-588)4001183-5 gnd rswk-swf Mathematikunterricht (DE-588)4037949-8 s Algorithmus (DE-588)4001183-5 s DE-604 Morrow, Lorna J. Sonstige oth National Council of Teachers of Mathematics Yearbook 1998 (DE-604)BV002779092 1998 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010357861&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | The teaching and learning of algorithms in school mathematics Algorithmus - Mathematikunterricht Mathematikunterricht (DE-588)4037949-8 gnd Algorithmus (DE-588)4001183-5 gnd |
| subject_GND | (DE-588)4037949-8 (DE-588)4001183-5 |
| title | The teaching and learning of algorithms in school mathematics |
| title_auth | The teaching and learning of algorithms in school mathematics |
| title_exact_search | The teaching and learning of algorithms in school mathematics |
| title_full | The teaching and learning of algorithms in school mathematics Lorna J. Morrow, 1998 yearbook ed. ... |
| title_fullStr | The teaching and learning of algorithms in school mathematics Lorna J. Morrow, 1998 yearbook ed. ... |
| title_full_unstemmed | The teaching and learning of algorithms in school mathematics Lorna J. Morrow, 1998 yearbook ed. ... |
| title_short | The teaching and learning of algorithms in school mathematics |
| title_sort | the teaching and learning of algorithms in school mathematics |
| topic | Algorithmus - Mathematikunterricht Mathematikunterricht (DE-588)4037949-8 gnd Algorithmus (DE-588)4001183-5 gnd |
| topic_facet | Algorithmus - Mathematikunterricht Mathematikunterricht Algorithmus |
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