The effects of 3D-representation instruction on composite-solid surface-area learning for elementary school students

Providing instruction on spatial geometry, specifically how to calculate the surface areas of composite solids, challenges many elementary school teachers. Determining the surface areas of composite solids involves complex calculations and advanced spatial concepts. The goals of this study were to build on students’ learning processes for basic and composite solids and employ Google SketchUp, an Internet resource tool, to develop and implement surface-area instructional and learning strategies (SAILS) for composite solids, and then measure its effect on learning achievement and attitudes. The fifth-grade students (N = 111) who were enrolled in this study were divided into an experimental and a control group. The experimental group (N = 56) received SAILS instruction, whereas the control group (N = 55) received traditional instruction. The results indicated that students who received SAILS instruction exhibited better performance on both immediate and maintained surface-area learning achievement tests compared to those who received traditional instruction; furthermore, this effect was more prominent among boys than girls. Low- and moderate-ability students who received SAILS instruction exhibited significantly greater improvement of attitudes toward learning mathematics compared to those receiving traditional instruction with physical teaching aids.

[1]  Agnès Blaye,et al.  Collaboration as a facilitator of planning and problem solving on a computer‐based task , 1991 .

[2]  Xin Ma,et al.  Reciprocal Relationships between Attitude toward Mathematics and Achievement in Mathematics. , 1997 .

[3]  Kevin W Eva,et al.  Is There Any Real Virtue of Virtual Reality?: The Minor Role of Multiple Orientations in Learning Anatomy from Computers , 2002, Academic medicine : journal of the Association of American Medical Colleges.

[4]  M. Battista Fifth Graders' Enumeration of Cubes in 3D Arrays: Conceptual Progress in an Inquiry-Based Classroom. , 1999 .

[5]  Ioanna Vekiri,et al.  Gender issues in technology use: Perceived social support, computer self-efficacy and value beliefs, and computer use beyond school , 2008, Comput. Educ..

[6]  Thomas Huk,et al.  The Influence Of Visual Spatial Ability On The Attitude of Users Towards High-Quality 3D-animations In Hypermedia Learning Environments , 2003 .

[7]  Keith Jones,et al.  Developing student spatial ability with 3D software applications , 2007 .

[8]  Erminia Pedretti,et al.  Closing of the gender gap in technology enriched science education: a case study , 2000, Comput. Educ..

[9]  Thomas Huk,et al.  Who benefits from learning with 3D models? the case of spatial ability , 2006, J. Comput. Assist. Learn..

[10]  Yao-Ting Sung,et al.  Effects of learning support in simulation-based physics learning , 2008, Comput. Educ..

[11]  S. Derry,et al.  Learning from Examples: Instructional Principles from the Worked Examples Research , 2000 .

[12]  Tjeerd Plomp,et al.  Information technology and gender equality: A contradiction in terminis? , 1997, Comput. Educ..

[13]  T Lannen,et al.  Control of virtual environments for young people with learning difficulties , 2002, Disability and rehabilitation.

[14]  Ahmad Rafi,et al.  Training in Spatial Visualization: The Effects of Training Method and Gender , 2008, J. Educ. Technol. Soc..

[15]  M. Volman,et al.  Gender Equity and Information Technology in Education: The Second Decade , 2001 .

[16]  Yao-Ting Sung,et al.  Efficacy of Simulation-Based Learning of Electronics Using Visualization and Manipulation , 2011, J. Educ. Technol. Soc..

[17]  Johnna J. Bolyard,et al.  What Are Virtual Manipulatives , 2002 .

[18]  F. J. Langdon,et al.  The Child's Conception of Space , 1967 .

[19]  Douglas H. Clements,et al.  Geometry and spatial reasoning. , 1992 .

[20]  L. H. Reyes Affective Variables and Mathematics Education , 1984, The Elementary School Journal.

[21]  Tomasz Drabowicz,et al.  Gender and digital usage inequality among adolescents: A comparative study of 39 countries , 2014, Comput. Educ..

[22]  Paul Light,et al.  Interaction, gender, and performance on a computer-based problem solving task , 1992 .

[23]  Arif Altun,et al.  Computers and 2D geometric learning of Turkish fourth and fifth graders , 2005, Br. J. Educ. Technol..

[24]  Patricia S. Moyer-Packenham,et al.  Virtual Manipulatives Used by K-8 Teachers for Mathematics Instruction: Considering Mathematical, Cognitive, and Pedagogical Fidelity , 2008 .

[25]  Stephen J. Pape,et al.  The Role of Representation(s) in Developing Mathematical Understanding , 2001 .

[26]  Patricia S. Moyer,et al.  Third Graders Learn about Fractions Using Virtual Manipulatives: A Classroom study , 2005 .

[27]  J. Cromby,et al.  The potentials of virtual environments in the education and training of people with learning disabilities. , 1996, Journal of intellectual disability research : JIDR.

[28]  Michal Yerushalmy,et al.  Student perceptions of aspects of algebraic function using multiple representation software , 1991 .

[29]  J. A. Palyvos,et al.  3D visualization types in multimedia applications for science learning: A case study for 8th grade students in Greece , 2009, Comput. Educ..

[30]  R. Mayer Educational Psychology: A Cognitive Approach , 1987 .

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

[32]  M. Linn,et al.  New trends in gender and mathematics performance: a meta-analysis. , 2010, Psychological bulletin.

[33]  D. Clements ‘Concrete’ Manipulatives, Concrete Ideas , 2000 .

[34]  D. Clements,et al.  STUDENTS' UNDERSTANDING OF THREE-DIMENSIONAL RECTANGULAR ARRAYS OF CUBES , 1996 .

[35]  Lynn Friedman,et al.  Mathematics and the Gender Gap: A Met-Analysis of Recent Studies on Sex Differences in Mathematical Tasks , 1989 .

[36]  Yao-Ting Sung,et al.  Developing geometry thinking through multimedia learning activities , 2007, Comput. Hum. Behav..

[37]  Richard T. Houang,et al.  Visualizing rectangular solids made of small cubes: Analyzing and effecting students' performance , 1985 .

[38]  David W. Brooks,et al.  The Impact of Virtual Manipulatives on First Grade Geometry Instruction and Learning , 2006 .

[39]  Nosrat Riahinia,et al.  Computer‐assisted instruction and student attitudes towards learning mathematics , 2010 .

[40]  P. M. Hiele Structure and Insight: A Theory of Mathematics Education , 1985 .

[41]  J. Piaget,et al.  Child's Conception Of Geometry , 1960 .

[42]  Yao-Ting Sung,et al.  Correcting Misconceptions on Electronics: Effects of a simulation-based learning environment backed by a conceptual change model , 2013, J. Educ. Technol. Soc..

[43]  M. Mar,et al.  The influence of new technologies on learning and attitudes in mathematics in secondary students , 2009 .

[44]  M. C. Rizzolo,et al.  Emerging Technologies and Cognitive Disability , 2004 .

[45]  David C. Geary,et al.  Sex Differences in Spatial Abilities Among Adults from the United States and China Implications for Evolutionary Theory , 2001 .

[46]  E. Fennema,et al.  Fennema-Sherman Mathematics Attitudes Scales: Instruments Designed to Measure Attitudes Toward the Learning of Mathematics by Females and Males. , 1976 .

[47]  Jiangmin Xu,et al.  Determining the Causal Ordering between Attitude toward Mathematics and Achievement in Mathematics , 2004, American Journal of Education.

[48]  Kuo-En Chang,et al.  The Effect of Concept Mapping to Enhance Text Comprehension and Summarization , 2002 .

[49]  Qing Li,et al.  A Meta-analysis of the Effects of Computer Technology on School Students’ Mathematics Learning , 2010 .

[50]  Elsa Eiriksdottir,et al.  Procedural Instructions, Principles, and Examples , 2011, Hum. Factors.

[51]  Shaaron Ainsworth,et al.  Examining the Effects of Different Multiple Representational Systems in Learning Primary Mathematics , 2002 .

[52]  M. Battista Spatial Visualization and Gender Differences in High School Geometry. , 1990 .

[53]  Karyn M. Plumm Technology in the classroom: Burning the bridges to the gaps in gender-biased education? , 2008, Comput. Educ..

[54]  Douglas A. Grouws,et al.  Handbook of research on mathematics teaching and learning: A project of the National Council of Teachers of Mathematics. , 1992 .