The teaching and learning of Geometry should be meaningful and not merely reacting to the teacher's stimuli. Hence, students should be given opportunities to experiment when learning mathematics through exploration and investigation of geometric shapes by themselves. For that reason, a Learning Strategy for 3-dimensional Geometry using the SketchUp Make dynamic software, called LSPE-SUM was designed through a step-by-step instruction to help students to improve their visual spatial skills and geometric thinking. Visual spatial skills were carefully integrated onto each van Hiele levels of Geometry thinking through specific arrangement of specially crafted learning activities. Such arrangement was vital to ensure that students could achieve better cognitive enhancement in visual spatial skills by communicating and interacting physically and socially according to the hierarchical van Hiele model of Geometry thinking. LSPE-SUM capitalized the dynamic features of SketchUp Make to facilitate the elevation of visual spatial skills and Geometry thinking during the learning processes. The whole process of designing and developing the LSPE-SUM adopted the five cyclic stages of ADDIE instructional design model. The purpose of this article was to report the details of the final two stages, more specifically, implementation and evaluation of LSPE-SUM. This learning strategy was tried out twice upon twelve different students in a classroom setting over a period of 3 weeks each. Besides that, LSPE-SUM was also given to experts to obtain their views and evaluation on its functionality. Quantitative and qualitative approaches were used to collect data as well as to analyze the experts and students' views on the suitability of LSPE-SUM. Analysis of students' views suggested that LSPE-SUM has assisted most of them in ResumoO ensino e a aprendizagem da geometria devem ser significativos para os alunos, não consistindo, apenas, numa reação a estímulos do professor. Por conseguinte, os alunos devem ter oportunidades de experimentação na aprendizagem da matemática, através da exploração e da investigação de formas geométricas. Nesse sentido, uma estratégia de aprendizagem de geometria tridimensional, usando o software dinâmico SketchUp, o LSPE-SUM, foi projetada através de instruções passo a passo para ajudar os alunos a melhorar suas competências visoespaciais e de pensamento geométrico. As competências visoespaciais foram cuidadosamente integradas a cada nível proposto pelo Modelo de van Hiele, relativo ao desenvolvimento do pensamento geométrico, através de atividades especificas de aprendizagem. Esse arranjo foi vital para garantir que os alunos pudessem alcançar maior aperfeiçoamento cognitivo das competências visoespaciais ao comunicar e interagir, demonstrativa e socialmente, de acordo com o modelo hierárquico de pensamento geométrico de van Hiele. O LSPE-SUM capitalizou recursos dinâmicos de SketchUp para facilitar a melhoria das competências e do pensamento geométrico visoespacial durante os processos de aprendizage...
This study was conducted with two objectives: (a) to develop 3D geometry teaching strategies through SketchUp Make (SPPD-SUM), and (b) to study the effect of SPPD-SUM on visualspatial skills (VSS). It was conducted in two stages. Stage I involved designing SPPD-SUM, whereas Stage II involved studying of the effect of SPPD-SUM on VSS. The activities in Stage I were based on a fivephase cycle in the ADDIE Model. The analysis phase examined the basic information related to VSS. The design phase involved setting VSS into learning activities. The development phase involved the construction of learning activities that are in line with every VSS component. The implementation phase involved two series of pilot studies and the implementation of SPPD-SUM among 12 students for three weeks. The data obtained from the evaluation phase by seven mathematics experts found that SPPD-SUM might function well pedagogically. Stage II began with descriptive quantitative data and inferential statistics using a one-group quasi time series experimental approach. The study was conducted for six weeks among 34 form-five students. The inferential analysis via the mean score of VSS suggests that SPPD-SUM helps improve students' VSS with a significant difference (at p = 0.05 level) before and after learning activities. This quantitative analysis shows that there is a significant change in students' cognitive processes, particularly in their ability to rotate, view, transform and mentally cut 3D objects, and to identify, analyse, connect, and make series reasoning and geometric features.
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