The Use Of Interactive Geometry Software (IGS) To Develop Geometric Thinking

Author(s):  
Abdul Halim Abdullah ◽  
Mohini Mohamed

Kajian ini bertujuan untuk mengukur tahap pemikiran geometri pelajar selepas menggunakan modul pembelajaran bulatan tingkatan dua menggunakan sebuah perisian geometri interaktif. Kajian ini melibatkan dua fasa, iaitu fasa pembangunan dan fasa perlaksanaan. Dalam fasa pembangunan, sebuah modul pembelajaran topik bulatan tingkatan dua menggunakan perisian KDE Interactive Geometry (KIG) dibangunkan. Soalan–soalan di dalam modul dibina berdasarkan kepada tiga tahap pemikiran geometri sebagaimana yang dicadangkan dalam Model Van Hiele, iaitu visualisasi, analisis dan deduksi tidak formal. Dalam fasa perlaksanaan, modul tersebut kemudiannya dijadikan rawatan dan digunakan oleh tiga orang pelajar tingkatan dua yang terlibat dalam kajian eksperimen berbentuk praujian–pasca ujian satu kumpulan ini. Pelajar yang terlibat dalam kajian ini dipilih secara rawak dan mereka diberikan ujian pra dan ujian pos sebelum dan selepas rawatan diberikan. Semasa menggunakan modul tersebut, perbualan pengkaji dengan pelajar dirakamkan dan kemudian ditranskripsikan untuk mengenal pasti jenis–jenis kemahiran berfikir kritis dan kreatif (KBKK) yang telah digunakan. Petunjuk KBKK yang dicadangkan oleh Pusat Perkembangan Kurikulum dirujuk bagi tujuan pengenal pastian KBKK. Hasil kerja pelajar di dalam modul dan di dalam cakera keras juga telah dianalisis bagi mengenal pasti tahap pemikiran geometri mereka. Hasil dapatan menunjukkan pelbagai KBKK telah digunakan pelajar semasa mereka menyelesaikan soalan yang terdapat di dalam modul. Di samping itu, pelajar juga dapat mencapai tahap tiga pemikiran geometri dalam Model Van Hiele. Keputusan ujian pos turut menunjukkan peningkatan tahap pemikiran geometri pelajar setelah mereka menggunakan modul yang telah dibangunkan. Kata kunci: Pemikiran geometri; kemahiran berfikir kritis dan kreatif; perisian geometri interaktif The purpose of this research is to measure the level of students’ geometrical thinking after using a newly developed module based on Form Two topic on Circles using an Interactive Geometry software (IGS). The research comprises of two phases which are the development phase and the implementation phase. In the development phase, a learning module using KDE Interactive Geometry (KIG) software was developed. The questions in the module were developed based on the levels as proposed in the Van Hiele Model which are visualization, analysis and informal deduction. In the implementation phase, the developed module was then used as a treatment on three Form Two students involving one–group of pre–test post–test research design. The students were chosen randomly and they were given a pre and post test before and after the learning sessions of circles using IGS. While using the module, the students’ conversations with the researcher were recorded. The transcript was then analysed to determine the types of critical and creative thinking utilised by the students. The critical and creative thinking indicators as suggested by the Curriculum Development Centre were referred. The students’ work completed in the module, together with their work saved in hard disk were analysed for the purpose of identifying the students’ geometrical thinking levels. The results showed that the students were able to utilise various types of critical and creative thinking while solving the questions in the module. In addition, the students were also able to achieve the third level of geometrical thinking as proposed in van Hiele Model. The post test results indicated that the students’ geometrical thinking showed clear improvement after using the module. Key words: Geometrical thinking; critical and creative thinking; interactive geometry software

2020 ◽  
Vol 11 (2) ◽  
pp. 19
Author(s):  
Ya-Lie Ku ◽  
Pei-Yu Lee ◽  
Shih-Ming Kuo

Background: The principal investigator has integrated the teaching strategies and activities of critical and creative thinking with integration and problem-solving abilities in the process of guiding nursing students in the course of Nursing Practicum Project Production (NPPP) for seven years. Although the course has developed a set of indicators for evaluating the products; however, there is a lack of indicators of evaluating the critical and creative thinking, integration and problem-solving abilities of the nursing students. In the 2018 year, the professional growth program for the teachers through the expert meeting and faculties discussion has developed the indicators of evaluating the critical and creative thinking, integration and problem-solving abilities for the nursing students completing the course of NPPP. The purpose of this study was to explore the evidences of the innovative teaching among the critical and creative thinking, integration and problem-solving abilities of nursing students before and after the course of NPPP.Methods: The mixed methods including the quasi-experimental and four factor designs were used in this study and the samples were the two-year program nursing students of the AB classes with the majority of them who have had the clinical working experiences. A class was the experimental group, integrating the teaching strategies and activities of critical and creative thinking, integration and problem-solving abilities. B class was used the traditional teaching. The two classes of nursing students were conducted self-assessment of the critical and creative thinking, integration and problem-solving abilities before and after the 2019 course of NPPP to understand the effectiveness of innovative teaching in the critical and creative thinking, integration and problem-solving abilities of RN-BSN students.Results: The critical and creative thinking, integration and problem-solving abilities of RN-BSN students in A class not only has improved significantly after conducting the innovative teaching, but also has the higher scores than the comparison B class. Additionally, no matter the principal investigator or other two faculties instructed the A group of RN-BSN students, the critical and creative thinking as well as the integration and problem solving abilities of RN-BSN students have improved before and after the NPPP course although there is the tendency of decreasing four abilities from group 1 to 4, but did not approach in the significant level.Conclusions: It is the evidences of the innovative teaching of critical and creative thinking, the integration and problem solving abilities for RN-BSN students in the first five weeks of the NPPP course. Additionally, the principal investigator instructed the group 1 and 2 that performed better than group 3 and 4 by the other two instructors that might be interesting to further study the group 1 and 2 dynamics as beneficence of teaching those thinking and abilities by the principal investigator.


Author(s):  
Muhammad Ammar Naufal ◽  
Abdul Halim Abdullah ◽  
Sharifah Osman ◽  
Mohd Salleh Abu ◽  
Hisyam Ihsan ◽  
...  

<span lang="EN-US">Metacognition, or the ability to think about thinking, is essential in the development of geometric thinking. However, studies on the Van Hiele model and the application of metacognition on geometric thinking are still under-researched. This study aimed to provide a review of the Van Hiele model and the application of metacognition on geometric thinking. A total of 844 articles were retrieved through internet search engines from 1995 to 2020 and manually selected and reviewed systematically. The keywords used related to the Van Hiele model, metacognition, and geometric thinking. The findings that emerged from the review were categorized into two main themes which were the effectiveness of the Van Hiele model towards geometric thinking and the effectiveness of the application of metacognition on geometric thinking. Most articles revealed the positive indication of the geometric thinking development through the Van Hiele model intervention. It also seems that the potential of the application of metacognition in the Van Hiele model can strengthen geometric thinking development. Researchers and educators may find this knowledge useful in conducting empirical studies and developing learning instructions based on the application of metacognition in the development of geometric thinking.</span>


2018 ◽  
Vol 4 (1) ◽  
pp. 155-163 ◽  
Author(s):  
Robin B. Dimla

The study explored the pre-service secondary Mathematics teachers’ levels of geometric thinking in geometry and their enacted example space function while they were exposed to van Hiele model instruction. The findings of the study reveal that most of the students were functioning at the recognition level in plane geometry and the highest geometric thinking level manifested prior to their exposure to van Hiele model is the informal deduction level. The evidences based on the study show that students’ example space function from various phases of instruction does not depend on their levels of geometric thinking that they had in plane geometry. Students with various levels of geometric thinking were able to generate quality examples across phases of instruction. Evidences likewise support the claim that van Hiele model assists students’ development of their example space function. Prior to the instruction misconception on properties of prism was evident among students. After the instruction, the breadth and the depth of understanding in relation to properties of prism was evident based on the quality of examples they provided. The most dominant geometric thinking level after students’ exposure to the van Hiele model instruction is also the recognition level.


2019 ◽  
Vol 5 (1) ◽  
pp. 9-16
Author(s):  
Diah Mayasari

The study about investigation of The Effect of Enrichment in the Concept of Pascal-laws Based on STEM education on critical and creative thinking skills of 8th-grade Students are conducted as an effort to follow up the lack of development of Critical and Creative Thinking Skills on the students. The research was conducted using quasi-experiment design, the type of the one group pretest-posttest designs and involved eighth-graders aged between 14-15 years as research subjects for five meetings. The data was obtained through student worksheets and observations. Data processing to see N-Gain was used Microsoft Excel 2007 and the results showed that there was an increase in the percentage of critical thinking skill scores from 58% (pretest) to 89% (post-test) with high category increase (N-gain = 0.74). while student creativity also rose from 15% (pretest) to 81% (post-test) with moderate category increase (N-gain = 0.68). Students' creation tools on STEM's educational enrichment program are Hydraulic Glass Cleaners.


2018 ◽  
Vol 25 (2) ◽  
pp. 139
Author(s):  
S. Harricharan ◽  
K. Biederman ◽  
A.M. Bombassaro ◽  
A. Lazo-Langner ◽  
S. Elsayed ◽  
...  

Background A twice-weekly galactomannan (gm) screening protocol was implemented in high-risk hematology inpatients. Study objectives were to determine adherence to the protocol, use of selected resources, and patient outcomes.Methods This retrospective cohort study compared outcomes of interest before and after implementation of gm screening. Adults undergoing matched related allogeneic hematopoietic stem-cell transplantation or induction chemotherapy for acute leukemia were eligible. Patients could be enrolled more than once and were evaluated as episodes. Adherence to the gm protocol was assessed in post-implementation episodes. Use of broad-spectrum antifungals (bsafs), consultations (infectious diseases, respirology), and diagnostic procedures (computed tomography imaging, bronchoalveolar lavage) were compared between phases, as were the patient outcomes of all-cause mortality and clinical success (alive and not taking a bsaf).Results Of 182 episodes consecutively screened, 70 per phase were enrolled. Clinical characteristics and duration of assessment were similar for the phases. Full or partial adherence to the protocol was observed in 61 post implementation episodes (87%), with full adherence in 40 episodes (57%). More episodes in the pre-implementation phase than in the post-implementation phase involved receipt of bsafs, consultations, and diagnostics (27% vs. 7%, p = 0.02; 46% vs. 26%, p = 0.014; and 46% vs. 31%, p = 0.083 respectively). Although mortality was similar in the two phases, clinical success at the final assessment was observed in fewer pre-implementation than post-implementation episodes (79% vs. 98%, p < 0.001).Conclusions Implementation of a gm screening protocol was feasible and associated with significantly fewer episodes involving receipt of bsafs and consultations, and with significantly more episodes showing clinical success.


2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Edward Yalley ◽  
Gloria Armah ◽  
Richard Kwame Ansah

The purpose of this study was to determine the effect of the Van Hiele instructional model on students’ achievement in Circle Geometry at Daffiama Senior High School in the Daffiama-Bussie-Issa District of the Upper West Region in Ghana. The purposive and simple random sampling techniques were employed to select a sample of 75 participants for the study. The sample involved two groups: the experimental group and the control group. While teaching based on the Van Hiele model was carried out in the experimental group, teaching with the traditional method was carried out in the control group. The study employed a quasi-experimental research design. The instruments used for data collection were tests, interviews, and classroom observation. Findings from the data analysis suggested that participants were at the prerecognition level before the intervention, improved from the prerecognition level to level 2 after the intervention as the model facilitated learning. It was recommended that teachers determine the geometric thinking levels of students before instruction; the Van Hiele learning and instructional model is adopted in curriculum design and applied in the teaching of geometry and other areas of mathematics.


2010 ◽  
Vol 16 (4) ◽  
pp. 232-238
Author(s):  
M. Lynn Breyfogle ◽  
Courtney M. Lynch

To analyze students' geometric thinking, use both formative and summative assessments and move students along the van Hiele model of thought.


2007 ◽  
Vol 14 (5) ◽  
pp. 296-301
Author(s):  
Sally K. Roberts

Although it has been many years, I still remember the story of Ricky as if it were only yesterday. I was a teacher consultant in a district where one of my roles was to support teachers in their classroom practice. A colleague had invited me to join one of her eighth-grade mathematics classes. The students were studying quadrilaterals, and our objective for the lesson was to discover what the students knew about quadrilateral properties. The lesson was informed by the van Hiele model of geometric thinking (Fuys, Geddes, and Tischler 1988). The van Hieles hypothesized that students' thinking begins at a visual level. At this level, the learner recognizes shapes by an overall gestalt based on visual clues rather than defining properties. From this level, the model suggests, learners move to a level of analysis that uses defining properties to categorize shapes and classes of shapes.


Author(s):  
Endela. Elifia Zulfa ◽  

The purpose of the study was to determine the effectiveness of the Guided Inquiry-based Student Worksheet (LKPD). The method used was a quasi-experiment with the one group pretest and posttest design. The population in this study was the students of grade XII IPA at SMA Negeri 2 Painan for the academic year 2020/2021. The sample in this study was the students from class XII IPA 1 as the experimental class and XII IPA 4 as the control class chosen by using the purposive sampling technique. The instruments used were observation questionnaires, product validation sheets, teacher and student practice sheets, and evaluation questions based on the critical and creative thinking indicators. The results of the analysis of pretest and post-test evaluation questions obtained that the mean of N-gain was 0.4 for critical thinking and Ngain was 0.5 for creative thinking. These two thinking skills had moderate N-gain scores. The results of the critical thinking t test showed that t arithmetic (0.036) < t (0.05) and creative thinking skills t test showed that t arithmetic (0.000) < t (0.05). Thus, it indicates that guided inquiry-based LKPD are effective for improving the students’ critical and creative thinking skills.


This study aimed to investigate the impact of the usage of the Van Hiele model in the development of geometric thinking levels among tenth grade students in Jordan. The sample of the study was selected from tenth grade basic students in Amman schools. Two hundred and forty students studying the mathematics course in the circle unit were divided into two groups: experimental (using the Van Hiele model) and the control (using the traditional approach of teaching).To achieve the objectives of the study, a test of geometric thinking in the unit of the circle was developed. Validity and reliability of the test was verified. The instructional material was also prepared in the circle unit for the students of the tenth grade using the Van Hiele model of geometric thinking. Four mathematics teachers were trained on the model, and the content validity of the training material was verified. The results of the study showed a statistically significant difference (α=0.01) between the two arithmetic means of the experimental and control agencies in favor of the experimental group that used the Van Hiele model in geometric thinking in general, and in sub-levels (visual, descriptive, logical), and the study showed no statistical significance difference (α=0.01) between the arithmetic means of male and female in geometric thinking, also the study showed an interaction between the model variable and gender variable in geometric thinking.


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