The Art of Problem Posing

By Stephen I. Brown; Marion I. Walter | Go to book overview

Bibliography

Adams J. L. ( 1974). Conceptual blockbusting. San Francisco, CA: Freeman.

Agre G. P. ( 1982). "The concept of problem". Educational Studies, 13 ( 2), 121-142.

Becker H. ( 1986). Writing for social scientists. Chicago, IL: University of Chicago Press.

Blake R. N. ( 1984). 1089: An example of generating problems. Mathematics Teacher, 77 (1), 14- 19.

Borasi R.( 1987). Exploring mathematics through the analysis of errors. For the Learning of Mathematics, 7 (3), 1-8.

Brown S. I. ( 1965). Of 'prime' concern: What domain. Mathematics Teacher, 58 (5), 402-407.

Brown S. I. ( 1966). Multiplication, addition and duality. Mathematics Teacher, 59 (6), 543-550.

Brown S. I. ( 1968). "Prime pedagogical schemes". American Mathematical Monthly, 75 ( 6), 660- 664.

Brown S. I. ( 1971). Rationality, irrationality and surprise. Mathematics Teaching, 55, 13-19.

Brown S. I. ( 1974). A musing on multiplication. Mathematics Teaching, 61, 26-30.

Brown S. I. ( 1975). A new multiplication algorithm: On the complexity of simplicity. Arithmetic Teacher, 22 (7), 546-554.

Brown S. I. ( 1978). Some prime comparisons. Reston, VA: National Council of Teachers of Mathematics.

Brown S. I. ( 1981). Sharon's 'Kye'. Mathematics Teaching, 94, 11-17.

Brown S. I. ( 1984). The logic of problem generation: From morality and solving to deposing and rebellion. For The Learning of Mathematics, 4(1), 9-20.

Brown S. I. ( 1987). Student generations. Arlington, MA: Consortium for Mathematics and its Applications (COMAP).

Brown S. I., & Walter M. I. ( 1970). What-if-not? An elaboration and second illustration. Mathematics Teaching, 51, 9-17.

Brown S. I., & Walter M. I. ( 1972). The role of the specific and general cases in problem posing and solving. Mathematics Teaching, 59, 52-54.

Brown S. I., & Walter M. I. ( 1988). Problem posing in mathematics education. Questioning Exchange, 2 (2), 123-131.

Bruner J. S., & Postman L. ( 1949). "On the perception of incongruity: A paradigm". Journal of Personality, 18 ( 2), 206-223.

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The Art of Problem Posing
Table of contents

Table of contents

  • Title Page iii
  • Contents v
  • Acknowledgments: Second Edition vii
  • 1 - Introduction 1
  • 2 - Two Problem Posing Perspectives: Accepting and Challenging 9
  • 3 - The First Phase of Problem Posing: Accepting 16
  • 4 - The Second Phase of Problem Posing: What-If-Not"" 30
  • Summary 60
  • 5 - The What-If-Not" Strategy in Action" 62
  • Summary 102
  • 6 - Some Natural Links Between Problem Posing and Problem Solving 104
  • Summary 118
  • 7 - In the Classroom: Student as Author and Critic 119
  • Summary 137
  • 8 - Conclusion 139
  • Bibliography 143
  • Author Index 146
  • Subject Index 148
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