Making the Connection: Overcoming Students' Difficulties in Learning to Understand and Construct Proofs

[1]  David Tall,et al.  Concept image and concept definition in mathematics with particular reference to limits and continuity , 1981 .

[2]  W. H. Cockcroft,et al.  Mathematics counts : report of the Committee of Inquiry into the Teaching of Mathematics in Schools under the chairmanship of Dr W H Cockcroft , 1982 .

[3]  Maurice Eggen,et al.  A transition to advanced mathematics , 1983 .

[4]  Uri Leron,et al.  Structuring Mathematical Proofs. , 1983 .

[5]  Uri Leron Heuristic Presentations: The Role of Structuring. , 1985 .

[6]  G. Harel,et al.  PROOF FRAMES OF PRESERVICE ELEMENTARY TEACHERS , 1989 .

[7]  M. Villiers The role and function of proof in mathematics , 1990 .

[8]  Gila Hanna,et al.  Some pedagogical aspects of proof , 1990 .

[9]  J. Kaput Notations and Representations as Mediators of Constructive Processes , 1991 .

[10]  D. Chazan High school geometry students' justification for their views of empirical evidence and mathematical proof , 1993 .

[11]  Kenneth Ruthven,et al.  Proof Practices and Constructs of Advanced Mathematics Students , 1994 .

[12]  Robert C. Moore Making the transition to formal proof , 1994 .

[13]  Annie Selden,et al.  Unpacking the logic of mathematical statements , 1995 .

[14]  Uri Leron,et al.  Students' Use and Misuse of Mathematical Theorems: The Case of Lagrange's Theorem , 1996 .

[15]  P. Freire,et al.  A Conversation with Paulo Freire. , 1997 .

[16]  Randall P. Dahlberg,et al.  Facilitating Learning Events Through Example Generation , 1997 .

[17]  William S. Mahavier What is the Moore method , 1999 .

[18]  Daina Taimina,et al.  Experiencing Geometry: In Euclidean, Spherical and Hyperbolic Spaces , 2000 .

[19]  C. Hoyles,et al.  A Study of Proof Conceptions in Algebra , 2000 .

[20]  Keith Weber,et al.  Student difficulty in constructing proofs: The need for strategic knowledge , 2001 .

[21]  Keith Weber Beyond Proving and Explaining: Proofs That Justify the Use of Definitions and Axiomatic Structures and Proofs That Illustrate Technique. , 2002 .

[22]  Rina Zazkis,et al.  Learning and teaching number theory : research in cognition and instruction , 2002 .

[23]  최영한,et al.  미국 NCTM의 Principles and Standards for School Mathematics에 나타난 수학과 교수,학습의 이론 , 2002 .

[24]  E. Knuth Teachers' Conceptions of Proof in the Context of Secondary School Mathematics , 2002 .

[25]  Simon A. Fraser,et al.  Prime Decomposition : Understanding Uniqueness , 2002 .

[26]  Annie Selden,et al.  Validations of proofs considered as texts: Can undergraduates tell whether an argument proves a theorem? , 2003 .

[27]  P. Liljedahl,et al.  Understanding Primes: The Role of Representation. , 2004 .

[28]  L. Alcock,et al.  Semantic and Syntactic Proof Productions , 2004 .

[29]  Michael B. Ward,et al.  Surprises from Mathematics Education Research: Student (Mis)use of Mathematical Definitions , 2004, Am. Math. Mon..

[30]  Marilyn P. Carlson,et al.  The Cyclic Nature of Problem Solving: An Emergent Multidimensional Problem-Solving Framework , 2005 .

[31]  L. Corry The Development of the Idea of Proof , 2008 .