Characteristics of Elementary School Students' Probabilistic Reasoning

[1]  David R. Green.  CHILDREN'S UNDERSTANDING OF RANDOMNESS: REPORT OF A SURVEY OF 160 CHILDREN AGED 7-11 YEARS , 1986 .

[2]  Jeremy Kilpatrick,et al.  International handbook of mathematics education , 1997 .

[3]  A. Su,et al.  The National Council of Teachers of Mathematics , 1932, The Mathematical Gazette.

[4]  Cynthia W. Langrall,et al.  A framework for assessing and nurturing young children‘s thinking in probability , 1997 .

[5]  Susanne P. Lajoie.  Reflections on statistics : learning, teaching, and assessment in grades K-12 , 1998 .

[6]  Jane Watson.  Numeracy Benchmarks for Years 3 and 5: What about Chance and Data? , 1998 .

[7]  James E. Tarr,et al.  Erratum to: A framework for assessing middle school students’ thinking in conditional probability and independence , 1997 .

[8]  E. Fischbein,et al.  The Evolution with Age of Probabilistic, Intuitively Based Misconceptions. , 1997 .

[9]  Douglas A. Grouws,et al.  Handbook of research on mathematics teaching and learning , 1992 .

[10]  M. V. Polaki,et al.  Developing a cognitive framework for describing and predicting Basotho students probabilistic thinking , 2000 .

[11]  Mokaeane V. Polaki,et al.  Using Instruction to Identify Key Features of Basotho Elementary Students' Growth in Probabilistic Thinking , 2002 .

[12]  E. Glasersfeld.  Radical constructivism in mathematics education , 2002 .

[13]  Dave Pratt,et al.  Making Sense of the Total of Two Dice , 2000 .

[14]  R. Gelman,et al.  Young children's understanding of random phenomena. , 1986, Child development.

[15]  Lyn D. English,et al.  Children's Strategies for Solving Two- and Three-Dimensional Combinatorial Problems. , 1993 .

[16]  E. Fischbein,et al.  Intuitions primaires et intuitions secondaires dans l'initiation aux probabilités , 1971 .

[17]  D. Klahr,et al.  Knowing about guessing and guessing about knowing: preschoolers' understanding of indeterminacy. , 1996, Child development.

[18]  Children's Construction of Fair Chances: Adjusting Probabilities. , 1998 .

[19]  Frances R. Curcio,et al.  Developing Mathematical Reasoning in Grades K-12. 1999 Yearbook. , 1999 .

[20]  Kathleen E. Metz.  Emergent Understanding and Attribution of Randomness: Comparative Analysis of the Reasoning of Primary Grade Children and Undergraduates. , 1998 .

[21]  Clifford Konold,et al.  Understanding Students’ Beliefs About Probability , 1991 .

[22]  D. Vere-Jones,et al.  Proceedings of the Second International Conference on Teaching Statistics , 1989 .

[23]  Margaret Brown.  Proceedings of the 26th Conference of the International Group for the Psychology of Mathematics Education , 2002 .

[24]  C. Acredolo,et al.  Children's ability to make probability estimates: skills revealed through application of Anderson's functional measurement methodology. , 1989, Child development.

[25]  Manfred Borovcnik,et al.  Empirical Research in Understanding Probability , 1991 .

[26]  Cynthia W. Langrall,et al.  Students' Probabilistic Thinking in Instruction. , 1999 .

[27]  A. Tversky,et al.  Variants of uncertainty , 1982, Cognition.

[28]  Jane Watson,et al.  Variation in a Chance Sampling Setting: The Lollies Task , 2002 .

[29]  J. P. Byrnes,et al.  The Cognitive Basis of Uncertainty , 1991 .

[30]  E. Fischbein.  Comparison of Ratios and the Chance Concept in Children. , 1970 .

[31]  Iasonas Lamprianou,et al.  The Probabilistic Thinking of Primary School Pupils in Cyprus: The Case of Tree Diagrams. , 2003 .

[32]  James E. Tarr,et al.  Understanding Students' Probabilistic Reasoning , 1999 .

[33]  E. Fischbein,et al.  The intuitive sources of probabilistic thinking in children , 1975 .

[34]  Richard Noss,et al.  EXPLORING IN SAMPLE SPACE: DEVELOPING YOUNG CHILDREN'S KNOWLEDGE OF RANDOMNESS , 2002 .

[35]  Peggy A. House,et al.  Connecting Mathematics Across the Curriculum , 1995 .

[36]  Richard Noss,et al.  The Microevolution of Mathematical Knowledge: The Case of Randomness , 2002 .

[37]  Anne S. Hawkins,et al.  Children's conceptions of probability — A psychological and pedagogical review , 1984 .

[38]  E. Fischbein,et al.  Intuition in science and mathematics , 1987 .

[39]  R Noss,et al.  The Co-ordination of Meanings for Randomness , 1998 .

[40]  Jane Watson,et al.  Fairness of dice: a longitudinal study of students' beliefs and strategies for making judgements , 2003 .

[41]  Manfred Borovcnik,et al.  Chance Encounters: Probability in Education , 1991 .

[42]  J. Biggs,et al.  Multimodal Learning and the Quality of Intelligent Behavior , 1991 .

[43]  Brian Greer,et al.  Understanding probabilistic thinking: The legacy of Efraim Fischbein , 2001 .

[44]  E. Fischbein,et al.  Factors affecting probabilistic judgements in children and adolescents , 1991 .

[45]  Heinz Steinbring.  The Theoretical Nature of Probability in the Classroom , 1991 .

[46]  Alexander Pollatsek,et al.  Inconsistencies in Students' Reasoning about Probability. , 1993 .