Problem-solving, proving, and learning: The relationship between problem-solving processes and learning opportunities in the activity of proof construction
暂无分享,去创建一个
[1] L. Alcock,et al. Semantic and Syntactic Proof Productions , 2004 .
[2] K. Nunokawa. Mathematical problem solving and learning mathematics: What we expect students to obtain , 2005 .
[3] M. Rodd. On Mathematical Warrants: Proof Does Not Always Warrant, and a Warrant May Be Other Than a Proof , 2000 .
[4] Keith Weber,et al. Student difficulty in constructing proofs: The need for strategic knowledge , 2001 .
[5] J. Mamona-Downs,et al. The Identity of Problem Solving. , 2005 .
[6] Alan H. Schoenfeld,et al. Research in Collegiate Mathematics Education. I , 1994 .
[7] Gila Hanna,et al. Some pedagogical aspects of proof , 1990 .
[8] Kaye Stacey,et al. Taking the Algebraic Thinking Out of Algebra. , 1999 .
[9] Lara Alcock,et al. Convergence of Sequences and Series 2: Interactions Between Nonvisual Reasoning and the Learner’s Beliefs about their own Role , 2004 .
[10] A. Schoenfeld. Learning to Think Mathematically: Problem Solving, Metacognition, and Sense Making in Mathematics (Reprint) , 2009 .
[11] P. Cobb,et al. Reflective Discourse and Collective Reflection , 1997 .
[12] M. Raman. Key Ideas: What are they and how can they help us understand how people view proof? , 2003 .
[13] David Tall,et al. Advanced Mathematical Thinking , 1994 .
[14] David Tall,et al. Knowledge construction and diverging thinking in elementary & advanced mathematics , 1999 .
[15] A Procedural Route toward Understanding Aspects of Proof: Case Studies from Real Analysis , 2005 .
[16] Keith Weber,et al. Traditional instruction in advanced mathematics courses: a case study of one professor’s lectures and proofs in an introductory real analysis course , 2004 .
[17] John R. Anderson. Cognitive Psychology and Its Implications , 1980 .
[18] C. Maher. How Students Structure Their Own Investigations and Educate Us: What We've Learned from a Fourteen Year Study. , 2002 .
[19] Mike Thomas,et al. Research on Mathematical Proof , 2002 .
[20] Susanne P. Lajoie,et al. Computers As Cognitive Tools , 2020 .
[21] Orit Hazzan,et al. Reducing abstraction: The case of constructing an operation table for a group , 2001 .
[22] M. Just,et al. Cognitive processes in comprehension , 1977 .
[23] Johan Lithner,et al. Students' mathematical reasoning in university textbook exercises , 2003 .
[24] Alan H. Schoenfeld,et al. Mathematical Problem Solving , 1985 .
[25] Annie Selden,et al. Unpacking the logic of mathematical statements , 1995 .