Analysis of metacognitive skills and Van Hiele levels of geometric thinking through various variables

ŞEFİK, Özgün; Urhan, Selin; Yüksel, Nazan Sezen

doi:10.1063/1.5078479

Cited by 4 publications

(6 citation statements)

References 3 publications

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“…Not only did students' geometric thinking improve, but their metacognition also improved. This is consistent with the findings of Şefik, et al [6] demonstrated that as students' metacognitive skill scores increased, so did their Van Hiele geometric thinking levels. Their findings indicated that the role of metacognition as a controlling cognitive skill, which is geometric thinking, plays an important role.…”

Section: The Intervention and Effectiveness Of The Application Of Metacognition On Geometric Thinkingsupporting

confidence: 91%

“…Also, students who use metacognition well will be critical thinkers, able to solve problems, and able to make good decisions compared to those who do not use their metacognition [3]. However, there are limited studies that focus on the application of metacognition in geometry [4] especially from the perspective of Van Hiele's learning phases and towards the development of student's geometric thinking [5], [6].…”

Section: Introductionmentioning

confidence: 99%

“…Metacognition is seen as one of the learning approaches that emphasize thinking skills [1], [23]. Some researchers [5], [6], [24] have begun to see the interconnectedness that occurs in the minds of students when given metacognitive interventions to develop their geometric thinking. Şefik, et al [6], for instance, observe that students who are at the Level 1 cannot control their existing knowledge.…”

Section: Introductionmentioning

confidence: 99%

“…Some researchers [5], [6], [24] have begun to see the interconnectedness that occurs in the minds of students when given metacognitive interventions to develop their geometric thinking. Şefik, et al [6], for instance, observe that students who are at the Level 1 cannot control their existing knowledge. In the meantime, at Level 4, students can control their knowledge and thought process.…”

Section: Introductionmentioning

confidence: 99%

“…Organisation for Economic Co-operation and Development (OECD) [26] reveals that most studies on the impact of metacognition have been done on achievement in algebra and arithmetic in general. Several studies have investigated the effect of metacognition in geometry [27]- [29] and its overlapping in the Van Hiele model of geometric thinking [5], [6], [24]. However, there are few studies in viewing the application of metacognition from the perspective of geometric thinking.…”

Section: Introductionmentioning

confidence: 99%

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

Naufal

Abdullah

Osman

et al. 2021

IJERE

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<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>

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Section: The Intervention and Effectiveness Of The Application Of Metacognition On Geometric Thinkingsupporting

confidence: 91%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Naufal

Abdullah

Osman

et al. 2021

IJERE

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Effects of AR mathematical picture books on primary school students' geometric thinking, cognitive load and flow experience

Wu,

Jiang,

Long

et al. 2024

Educ Inf Technol

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As an important branch of mathematics, geometry plays a very significant role in developing students’ thinking, but many students need to improve their geometric thinking abilities, especially in understanding graphics and forms. Therefore, it is worthwhile to explore techniques and methods for developing students’ geometric thinking, and Augmented Reality (AR) technology can visualize geometric objects to enhance mathematic learning. This study designed an interactive mathematical picture book by utilizing AR technology, and used a quasi-experimental setting to compare the effects of three different reading materials, including AR mathematical picture books, mathematical picture books and mathematical texts. Eighty-three fourth-grade students at an elementary school in China were divided into three groups to participate in the experiment. The effects on primary school students were measured in terms of geometric thinking level, cognitive load and flow experience. The quantitative findings indicated that after reading the AR mathematical picture book, students’ geometric thinking levels 0–3 were significantly improved (p < 0.05). Moreover, compared with the other two groups, the students who finished reading the AR mathematical picture book scored significantly higher in geometric thinking and flow experience and significantly lower in cognitive load. Analysis of the semi-structured interviews showed that students enjoyed using AR mathematical picture books and felt that it resulted in a better flow experience and lower cognitive load. As a result, this research indicates that AR mathematical picture book has a significant role in increasing students’ geometrical thinking, and provide a successful teaching case for the application of AR/VR in the classroom.

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The use of van Hiele theory as a theoretical framework for technology-assisted geometry learning

Haqq¹,

Suyitno²,

Zaenuri³

2023

AIP Conference Proceedings

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Analysis of metacognitive skills and Van Hiele levels of geometric thinking through various variables

Cited by 4 publications

References 3 publications

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

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

Effects of AR mathematical picture books on primary school students' geometric thinking, cognitive load and flow experience

The use of van Hiele theory as a theoretical framework for technology-assisted geometry learning

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