GeoGebra, Enhancing Creative Mathematical Reasoning

The thesis consists of four articles and this summarizing part. All parts have focused on bringing some insights into how to design a didactical situation including dynamic software (GeoGebra) to s ...

[1]  Virginia Warfield,et al.  Invitation to Didactique , 2013 .

[2]  Mogens Allan Niss,et al.  Reflections on the State of and Trends in Research on Mathematics Teaching and Learning: From Here to Utopia , 2007 .

[3]  Keith Jones,et al.  WAYS OF LINKING GEOMETRY AND ALGEBRA: THE CASE OF GEOGEBRA , 2007 .

[4]  Johan Lithner,et al.  Mathematical Reasoning in School Tasks , 2000 .

[5]  N. Balacheff.  Aspects of proof in pupils ' practice of school mathematics , 2003 .

[6]  Nigel Calder,et al.  The Influence and Shaping of Digital Technologies on the Learning – and Learning Trajectories – of Mathematical Concepts , 2009 .

[7]  Kaye Stacey,et al.  The design of lessons using mathematics analysis software to support multiple representations in secondary school mathematics , 2011 .

[8]  M. K. Heid,et al.  Computer Algebra Systems: Revolution or Retrofit for Today's Mathematics Classrooms? , 2001 .

[9]  Manu Kapur.  Examining Productive Failure, Productive Success, Unproductive Failure, and Unproductive Success in Learning , 2016 .

[10]  Jeremy Roschelle,et al.  The Mathematics of Change and Variation from a Millennial Perspective: New Content, New Context , 2013 .

[11]  G. Brousseau.  Theory of didactical situations in mathematics , 1997 .

[12]  M. Mariotti.  Introduction to Proof: The Mediation of a Dynamic Software Environment , 2000 .

[13]  A framework for examining characteristics of computer-based mathematical tasks , 2011 .

[14]  Johan Lithner,et al.  Students' mathematical reasoning in university textbook exercises , 2003 .

[15]  V. Shute.  Focus on Formative Feedback , 2008 .

[16]  Richard E. Clark,et al.  Why Minimal Guidance During Instruction Does Not Work: An Analysis of the Failure of Constructivist, Discovery, Problem-Based, Experiential, and Inquiry-Based Teaching , 2006 .

[17]  Mark Sumner,et al.  Characterizing Interaction with Visual Mathematical Representations , 2006, Int. J. Comput. Math. Learn..

[18]  Gerry Stahl,et al.  Contributions to a theoretical framework for CSCL , 2002, CSCL.

[19]  Stephanie D. Teasley,et al.  The Construction of Shared Knowledge in Collaborative Problem Solving , 1995 .

[20]  Alan H. Schoenfeld,et al.  On Paradigms and Methods: What Do You Do When the Ones You Know Don't Do What You Want Them To? issues in the Analysis of Data in the Form of Videotapes , 1992 .

[21]  Ronnie Karsenty,et al.  Exploring the potential role of visual reasoning tasks among inexperienced solvers , 2013, ZDM.

[22]  Joan Garfield,et al.  Developing Simulation Activities To Improve Students' Statistical Reasoning. , 2000 .

[23]  Markus Hähkiöniemi.  Teacher's reflections on experimenting with technology-enriched inquiry-based mathematics teaching with a preplanned teaching unit , 2013 .

[24]  Alan H. Schoenfeld,et al.  Mathematical Problem Solving , 1985 .

[25]  Lingguo Bu,et al.  Model-Centered Learning , 2011 .

[26]  J. Hiebert,et al.  THE EFFECTS OF CLASSROOM MATHEMATICS TEACHING ON STUDENTS ’ LEARNING , 2006 .

[27]  R. Mayer.  Should there be a three-strikes rule against pure discovery learning? The case for guided methods of instruction. , 2004, The American psychologist.

[28]  Keith Jones.  Providing a Foundation for Deductive Reasoning: Students' Interpretations when Using Dynamic Geometry Software and Their Evolving Mathematical Explanations , 2000 .

[29]  Marcelo de Carvalho Borba,et al.  Collectives of humans-with-media in mathematics education: notebooks, blackboards, calculators, computers and … notebooks throughout 100 years of ICMI , 2010 .

[30]  Karen Hollebrands,et al.  The Role of a Dynamic Software Program for Geometry in the Strategies High School Mathematics Students Employ , 2007 .

[31]  Ornella Robutti,et al.  The Role and Uses of Technologies for the Teaching of Algebra and Calculus: Ideas Discussed at Pme over the Last 30 Years , 2006 .

[32]  C. Hmelo‐Silver,et al.  Scaffolding and Achievement in Problem-Based and Inquiry Learning: A Response to Kirschner, Sweller, and Clark (2006) , 2007 .

[33]  Torulf Palm,et al.  The relation between types of assessment tasks and the mathematical reasoning students use , 2010 .

[34]  Johan Lithner,et al.  A research framework for creative and imitative reasoning , 2008 .

[35]  David H. Jonassen,et al.  Toward a design theory of problem solving , 2000 .

[36]  Manu Kapur,et al.  Designing for Productive Failure , 2012 .

[37]  K.P.E. Gravemeijer,et al.  The teacher and the tool: instrumental orchestrations in the technology-rich mathematics classroom , 2010 .

[38]  J. Boaler.  Open and Closed Mathematics: Student Experiences and Understandings , 1998 .

[39]  Hee Seung Lee,et al.  Student learning: what has instruction got to do with it? , 2013, Annual review of psychology.

[40]  R. Marrades,et al.  Proofs produced by secondary school students learning geometry in a dynamic computer environment , 2000 .

[41]  Nurit Hadas,et al.  Computer Mediated Learning: An Example of an Approach , 2000, Int. J. Comput. Math. Learn..

[42]  Paul Drijvers,et al.  The Co-Emergence of Machine Techniques, Paper-and-Pencil Techniques, and Theoretical Reflection: A Study of Cas use in Secondary School Algebra , 2006, Int. J. Comput. Math. Learn..

[43]  Y. Lou,et al.  Small Group and Individual Learning with Technology: A Meta-Analysis , 2001 .

[44]  Nikol Rummel,et al.  Are two heads always better than one? Differential effects of collaboration on students’ computer-supported learning in mathematics , 2011, Int. J. Comput. Support. Collab. Learn..

[45]  B. Jonsson,et al.  Learning mathematics through algorithmic and creative reasoning , 2014 .

[46]  J. Hiebert.  Relationships between research and the NCTM standards , 1999 .