ICT-supported problem solving and collaborative creative reasoning: Exploring linear functions using dynamic mathematics software

The present study investigates how a dynamic software program, GeoGebra, may support students' collaboration and creative reasoning during mathematical problem solving. Thirty-six students between ...

[1]  Daniel D. Suthers,et al.  Computer-supported collaborative learning: An historical perspective , 2006 .

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

[3]  Margaret Sinclair Peer interactions in a computer lab: reflections on results of a case study involving web-based dynamic geometry sketches , 2005 .

[4]  Gregory Chamblee,et al.  Teaching Algebra and Geometry with GeoGebra: Preparing Pre-Service Teachers for Middle Grades/Secondary Mathematics Classrooms , 2013 .

[5]  Rolf Plötzner,et al.  Students' difficulties in learning from dynamic visualisations and how they may be overcome , 2009, Comput. Hum. Behav..

[6]  Margaret L. Niess,et al.  A Survey of Mathematics Education Technology Dissertation Scope and Quality , 2014 .

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

[8]  Ljubica Dikovic,et al.  Applications GeoGebra into teaching some topics of mathematics at the college level , 2009, Comput. Sci. Inf. Syst..

[9]  İlhan Koyuncu,et al.  INVESTIGATING PLANE GEOMETRY PROBLEM-SOLVING STRATEGIES OF PROSPECTIVE MATHEMATICS TEACHERS IN TECHNOLOGY AND PAPER-AND-PENCIL ENVIRONMENTS , 2015 .

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

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

[12]  David C. Webb,et al.  Learning by Understanding: The Role of Multiple Representations in Learning Algebra , 1995 .

[13]  Rohani Ahmad Tarmizi,et al.  Instructional Efficiency of the Integration of Graphing Calculators in Teaching and Learning Mathematics. , 2009 .

[14]  J. Sweller COGNITIVE LOAD THEORY, LEARNING DIFFICULTY, AND INSTRUCTIONAL DESIGN , 1994 .

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

[16]  Nirit Glazer,et al.  Challenges with graph interpretation: a review of the literature , 2011 .

[17]  L. Vygotsky,et al.  Thought and Language , 1963 .

[18]  Zsolt Lavicza,et al.  Integrating Computer Algebra Systems in Post-Secondary Mathematics Education: Preliminary Results of a Literature Review. , 2010 .

[19]  Rukiye İçel,et al.  The role of dynamic geometry software in the process of learning: GeoGebra example about triangles , 2011 .

[20]  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..

[21]  Effandi Zakaria,et al.  The effect of using GeoGebra on conceptual and procedural knowledge of high school mathematics students. , 2012 .

[22]  Carolyn Penstein Rosé,et al.  ANALYZING THE DISCOURSE OF GEOGEBRA COLLABORATIONS , 2010 .

[23]  Ruhama Even,et al.  Factors involved in linking representations of functions , 1998 .

[24]  Chris Sangwin,et al.  A brief review of GeoGebra: dynamic mathematics , 2007 .

[25]  Manu Kapur,et al.  A further study of productive failure in mathematical problem solving: unpacking the design components , 2011 .

[26]  F. Arzarello,et al.  A cognitive analysis of dragging practises in Cabri environments , 2002 .

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

[28]  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 .

[29]  Andrea Hoffkamp The use of interactive visualizations to foster the understanding of concepts of calculus: design principles and empirical results , 2011 .

[30]  Maggie B. McGatha,et al.  Methods of Instructional Improvement in Algebra , 2010 .

[31]  Marios Pittalis,et al.  Proofs through Exploration in Dynamic Geometry Environments , 2004 .

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

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

[34]  Keith Jones Research on the use of dynamic geometry software: implications for the classroom , 2002 .

[35]  Azita Manouchehri,et al.  Using interactive algebra software to support a discourse community , 2004 .

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

[37]  Reinhard Hölzl,et al.  Using Dynamic Geometry Software to Add Contrast to Geometric Situations – A Case Study , 2001, Int. J. Comput. Math. Learn..

[38]  Mohammad Al-khawalda,et al.  Jihad: A Victim of Policy and Misinterpretation , 2012 .

[39]  Ruth Beatty,et al.  Knowledge building in mathematics: Supporting collaborative learning in pattern problems , 2006, Int. J. Comput. Support. Collab. Learn..

[40]  Miguel Nussbaum,et al.  Technology as small group face-to-face Collaborative Scaffolding , 2009, Comput. Educ..

[41]  Tobin White,et al.  Graphing in Groups: Learning About Lines in a Collaborative Classroom Network Environment , 2012 .

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

[43]  Marlene Scardamalia,et al.  Computer Support for Knowledge-Building Communities , 1994 .

[44]  Elsbeth Stern,et al.  Interaction between Knowledge and Contexts on Understanding Abstract Mathematical Concepts , 1997 .

[45]  Ayhan Kursat Erbas,et al.  The effect of inquiry-based explorations in a dynamic geometry environment on sixth grade students' achievements in polygons , 2011, Comput. Educ..

[46]  Yılmaz Zengin,et al.  The effect of dynamic mathematics software geogebra on student achievement in teaching of trigonometry , 2012 .

[47]  Manuel Santos-Trigo,et al.  Searching and exploring properties of geometric configurations using dynamic software , 2002 .

[48]  Kwan Eu Leong Impact of Geometer's Sketchpad on Students Achievement in Graph Functions. , 2013 .