Student visualization in solving geometry problem: the case of reflection

Visualization is a mental act representing a visual information. In solving geometry problem, we need visualization to identify and illustrate the information. This study aimed to analyse student visualization in solving the reflection problems. We studied a female high school athlete at grade eleven. There were three steps in this study. First, we designed two reflection problems. Next, we assessed and interviewed her by semi structure interviewed. Finally, we analysed student spatial visual comparing to types of visualization by Presmeg. Lot of athletes do not have time enough in learning about some topic in their class, so we have to find an appropriate approach to led her in learning activity for creating an efective learning. We found that she has two types of visualization that are pattern imagery and kinaesthetic imagery. In the future, we can design instructional tasks that are convenient for this visualizer.

[1]  Thomas Lowrie Visual and Spatial Reasoning: The Changing Form of Mathematics Representation and Communication , 2012 .

[2]  Sheryl R Ginn,et al.  Relationships between Spatial Activities and Scores on the Mental Rotation Test as a Function of Sex , 2005, Perceptual and motor skills.

[3]  P. Freire Pedagogy of Freedom: Ethics, Democracy, and Civic Courage , 1998 .

[4]  Norma Boakes,et al.  Origami Instruction in the Middle School Mathematics Classroom: Its Impact on Spatial Visualization and Geometry Knowledge of Students , 2009 .

[5]  Thomas Lowrie,et al.  Measurement of Spatial Ability: Construction and Validation of the Spatial Reasoning Instrument for Middle School Students , 2017 .

[6]  Norma C. Presmeg,et al.  Visualisation and mathematical giftedness , 1986 .

[7]  T. Covassin,et al.  The Role of Age and Sex in Symptoms, Neurocognitive Performance, and Postural Stability in Athletes After Concussion , 2012, The American journal of sports medicine.

[8]  D. Clements,et al.  Learning and Teaching Early Math: The Learning Trajectories Approach , 2009 .

[9]  M. Hegarty,et al.  Types of visual–spatial representations and mathematical problem solving. , 1999 .

[10]  Mary Hegarty,et al.  The Cognitive Science of Visual-Spatial Displays: Implications for Design , 2011, Top. Cogn. Sci..

[11]  J. Larue,et al.  Relation Between Sport and Spatial Imagery: Comparison of Three Groups of Participants , 2004, The Journal of psychology.

[12]  Norma C. Presmeg,et al.  Visualisation in High School Mathematics. , 1986 .

[13]  Ricardo Nemirovsky,et al.  On Mathematical Visualization and the Place Where We Live , 1997 .

[14]  E. Fischbein The theory of figural concepts , 1993 .

[15]  P Schatz,et al.  Sex differences in baseline neuropsychological function and concussion symptoms of collegiate athletes , 2006, British Journal of Sports Medicine.

[16]  Nuran Güzel,et al.  High school students’ spatial ability and creativity in geometry , 2009 .

[17]  M. Hegarty,et al.  The Influence of Spatial Visualization Training on Students’ Spatial Reasoning and Mathematics Performance , 2019, Journal of Cognition and Development.