Effect of the VAN Hiele Instructional Model on Students’ Achievement in Geometry

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.

Construction with ruler and compass, van Hiele model for geometry thinking and Project-based learning

We describe how problems of geometric construction using straightedge and compass can be introduced to students through project-based learning. We discuss how these problems can be extended to the upper half-plane model. Furthermore, we discuss the use of these problems to assess advanced levels in van Hiele model for geometry thinking.

Reviewing the Van Hiele model and the application of metacognition on geometric thinking

<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>

The Impact of Using the Van Hiele Model in Developing Geometric Thinking Levels among Tenth Grade Students in Jordan.

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.

THE EFFECTIVENESS OF GEOGEBRA-BASED VAN HIELE MODEL ON MATHEMATICAL DISPOSITION ASSESSED FROM EARLY MATHEMATICS ABILITY

The aim of this research was to observe the effectiveness of geogebra based van hiele model on mathematical disposition assessed from early mathematics ability. The accessible population of the present study was students of Prof. DR. HAMKA Muhammadiyah University. Samples of this research is semester two students from mathematics education program. Due to the happening Covid-19 pandemic, the present study was conducted online. The method employed was quasi-experiment using factorial treatment by level 2 × 2 design. The data were collected with mathematical disposition questionnaire and early mathematics ability instrument. After the data were collected, they were then analyzed with two-way ANAVA analysis. The result showed that there was no significant difference in the increase mathematical disposition of students who are given the learning model and early mathematics ability. The conclusion obtained is that the geogebra based Van Hiele Model is ineffective on students’ mathematical disposition in terms of their early mathematics abilitiy. This is due to several factors, namely internal factors and external factors. The internal factors are decreas in the score of mathematical disposition from pretest to posttest, lack of understanding applying geogebra software with online learning. External factors are quotas and poor internet network.

Exploring differences in primary students’ geometry learning outcomes in two technology-enhanced environments: dynamic geometry and 3D printing

Background This paper compares the effects of two classroom-based technology-enhanced teaching interventions, conducted in two schools in sixth (age 11–12) grade. In one school, the intervention involves the use of a class set of 3D Printing Pens, and in another school the use of dynamic geometry environments, for inquiry-based learning of the relations among the number of vertices, edges, and faces of prisms and pyramids. An instrument was designed as guided by the van Hiele model of geometric thinking and administered to the two groups in the form of pretests, posttests, and delayed posttests to assess students’ prior knowledge before the intervention started, the learning outcomes obtained immediately after intervention, and the retention of knowledge after the interventions had been completed for a sustained period of time. The purpose of this study is to explore differences in geometry learning outcomes in two technology-enhanced environments, one that involves dynamic, visual representations of geometry and another that involves embodied actions of constructing physical 3D solids. Results The results show that students using dynamic geometry improved at a higher rate than those using 3D Pens. On the other hand, students with the aid of 3D Pens demonstrated better retention of the properties of 3D solids than their dynamic geometry counterparts. Namely, the posttest results show that the dynamic geometry environment (DGE) group generally outperformed the 3D Pen group across categories. The observed outperformance by the DGE group on “advanced” implies that the DGE technology had a stronger effect on higher levels of geometric learning. However, the results from the ANCOVA suggest that the retention effect was more significant with 3D Pens. Conclusions This study has established evidence that the DGE instructions produced strong but relatively temporary geometry learning outcomes, while 3D Pen instructions can help solidify that knowledge. The results of this study further shed light on the effect of visual and sensory-motor experiences on school mathematics learning and corroborate previous work showing that the effects of gesture are particularly good at promoting long-lasting learning.